{"text_format":"1","workbook":"xlsx","n_sheets":18,"sheets":["INFO","Simplified_input_correlation","Product_descriptive_data","Product_tech_data","Process_design_data","Input_series","Method_input","Method_calculation","Method_output","Output_series","Graphs","Greek_to_soft","Symbols","Subs_building","Subs_system","Subs_del_EP","Subs_other","History"],"not_rendered":{"charts":22,"images":69,"macros":1,"external_links":0,"defined_names":149,"comments":3,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"INFO","index":0,"n_rows":25,"n_cols":1,"rows_kept":25,"cut":false,"hidden":false,"merged":[]}
["\nDISCLAIMER:\n• This spreadsheet has been developed in the framework of the preparation and revision of the set of EN or ISO standards on the energy performance of buildings, to support the European \"Energy Performance of Buildings Directive\" recast (EPBD-recast, directive 2010/31/EU). \n• It is meant for use by  CEN and ISO technical committee(s) and the working group(s) working on the preparation or revision of the EPB-standard to which this spreadsheet applies. The spreadsheet supports checking  that all equations in the developed standard are consistent and can be linked with other relevant standards. It is not meant to perform a full or partial energy performance calculation.\n• The spreadsheet supports the expert user of the standards, in particular those who want to review the content of the standard and those who want to translate the standard to a software, to understand the correct interpretation of the equations and calculation steps in the standard.\n• Although it has been developed with care, neither the technical committee(s), nor the working group(s) and experts related to the EPB- standard to which this spreadsheet applies warrant that the calculations and procedures in this spreadsheet are free of errors. The technical committees as well as the working groups and their respective members expressly disclaim any liability or responsibility arising from use of this spreadsheet, or any consequences thereof. Any responsibility arising from the use of this spreadsheet lies with the user."]
["DRAFT VERSION:\n• As long as the associated EPB standard or any of the other EPB standards to which it is directly linked are in a draft stage, this spreadsheet is also a draft version only."]
["WARNINGS: \n• Note that the spreadsheet may not allow testing all calculation options that are possible according to the standard to which it applies. This remark applies in particular but not only to limitations on the number instances of a variable that can be considered. \n• In case of differences, the standard should be regarded as the reference, not the spreadsheet. However, during the standard's drafting phase, shortcomings in the draft standard may have been detected and dealt with in the spreadsheets (ideally, such differences are marked).\n• Note also that these spreadsheets are purely intended for testing and demonstration and therefore not aiming to be user friendly or to be protected against wrong or improper use. \n"]
["TERMS OF USE:\n• The user is not allowed to redistribute a modified version of this spreadsheet.\n• The author(s) would appreciate your feed back on the spreadsheet via the comment sheets for the associated draft standard to be prepared by the national standards bodies during enquiry of the draft standard(s),\n"]
["Intended use of this document\nThose responsible for the drafting of actual individual EPB standards shall\n-  read and understand the following documents\n   - prCEN/TS 16628 Basic Principles (in short \"BP\")\n   - prCEN/TS 16629 Detailed Technical Rules (in short \"DTR\")\n   - prEN 15603:2013 (\"Overarching Standard\", in short \"OA\"))\n   - prCEN/TR 15615:2013 Technical report to overarching standard;\n- Prepare their individual EPB standard according to CEN rules, BP, DTR and OA\n- Prepare the accompanying technical report using the dedicated template\n- Prepare an accompanying XLS spreadsheet, to demonstrate inputs, output and calculation chain.\n\nThis sample excel spreadsheet provides a template to help in this task."]
["Why an Excel spradsheet?\n\nTo demonstrate the validity and required data I/O for the calculation procedure defined in the standard:\n- list of all input needed --> sheet \"Method_input\"\n- list of intended output --> sheet  \"Method_output\"\n- calculation sequence --> sheet  \"Method_calculation\""]
["The example is prepared for a simple procedure. The sheet calculation may need extensions such as:\n- using several columns when operating on arrays\n- refering to a subset of sheets input/calculation/output to describe a subroutine\nFor complex tasks MACRO can be used.\n\nThis sheet does not support calculation methods that take into account data in a different time-step than that that is being calculated. A version that allows taking into account values at previous time step will be developed."]
["LIST SHEETS"]
["Simplified_input_correlation\nUse this sheet to demontrate simplified input correlation, if any in your standard.\nTypically these correlations are defined in annex C of the standard. They provide the normal detailed input of a procedure, based on a simplified input data set."]
["Product_descriptive_data\nUse this sheet to list product descriptive data (typically with case identifiers). Some examples of selection tables are given.\nThe output from the selection tables (green cells) can be linked to the sheet \"method_input\" for use in the procedure."]
["Product_tech_data\nUse this sheet to list product technical data (typically numerical values and data). Some examples are given with default that may be typically included in annex A of the standard.\nThe output from the selection tables (green cells) can be linked to the sheet \"method_input\" for use in the procedure."]
["Process_design_data\nUse this sheet to list system descriptive data (typically with case identifiers). Some examples of selection tables are given.\nThe output from the selection tables (green cells) can be linked to the sheet \"method_input\" for use in the procedure."]
["Data_catalogue_example\nIt is an example of how a data catalogue can work, filtering the catalogue of product properties based on product descriptive data. You can optionally build a similar catalogue for products involved in your standard."]
["Input_series\nPrepare in this sheet data for each time step if you want to test the procedure on more steps."]
["Method_input\nList in this sheet all the input required for the calculation in one time step.\nTHIS SHEET IS REQUIRED TO DEMONSTRATE THE REQUIRED DATA INPUT."]
["Method_calculation\nDetail in this sheet your calculation procedure. There should be one calculation in one cell for each equation in the standard.\nTHIS SHEET IS REQUIRED TO DEMONSTRATE THE CALCULATION PROCEDURE."]
["Method_output\nList in this sheet all the intended output of the procedure.\nTHIS SHEET IS REQUIRED TO DEMONSTRATE THE AVAILABLE DATA OUTPUT."]
["Output_series\nSeries alculation results are stored in this sheet.\nCalculation for each time step is launched in this sheet."]
["Greek_to_soft\nThis sheet includes the correspondence table between greek letters and software language coding of variables"]
["Symbols\nThis sheet includes common symbols for reference."]
["Subs buildings\nThis sheet includes relevant common symbols for the building domain"]
["Subs systems\nThis sheet includes relevant common symbols for the technical systems domain"]
["Subs del_EP\nThis sheet includes relevant common symbols for the assessment boundary energy flows"]
["Subs others\nThis sheet includes relevant common symbols for other general purposes (typically futher levels appended to previously defined subscripts)"]
["Hostory \nChanges in this sheet according to revisions"]

{"sheet":"Simplified_input_correlation","index":1,"n_rows":4,"n_cols":8,"rows_kept":4,"cut":false,"hidden":false,"merged":[[0,0,0,7]]}
["Create here a simulation of each correlation method in your Annex C, if any"]
[null,"NO ANNEX C"]
[]
["Name","Symbol","Unit","Value","Range","Formula ref.","Formula","Notes"]

{"sheet":"Product_descriptive_data","index":2,"n_rows":6,"n_cols":1,"rows_kept":6,"cut":false,"hidden":false,"merged":[[0,0,0,2]]}
["Example of descriptive data.\nIn a simple structure, this can be connected directly to the \"method_input\" sheet where this data is required.\nIn this example spreadsheet the \"Method_input\" is linked to the \"data_catalogue\"."]
[]
[]
[]
[]
[" Product descriptive data (qualitative)"]

{"sheet":"Product_tech_data","index":3,"n_rows":114,"n_cols":10922,"rows_kept":114,"cut":false,"hidden":false,"merged":[[0,0,0,3],[5,0,5,3],[24,0,24,1],[37,0,37,1],[52,4,52,10],[55,8,55,11],[56,6,57,6],[56,12,57,12],[56,13,57,13],[65,0,68,0],[58,12,59,12],[58,13,59,13],[58,7,59,7],[58,8,59,8],[58,9,59,9],[58,10,59,10],[58,11,59,11]]}
["EXAMPLE OF A SHEET WITH DEFAULT INPUT\nCreate here a simulation of each default data formula given in annex A of the standard.\nOptionally connect the selected values to the detailed input data selection sheet  (detailed input)"]
[]
[null,"To be completed","Calculated automaticaly (do not modify)","Not used in the choosen  configuration"]
[]
["Windows","Nw",4]
["Choose the kind of calculation (WIN_FLOW_CALC) you want to use in Process_design_data\nFill the number of window (Nw)\nFill below the description of each window of the building, blue cells only brown ones are calculated automaticaly.  Grey ones are not used for the kind of calculation choosen.\nUse one column for each window\nDo not leave void\nThose data are not used if you make a simplified calculation"]
["Maximum window opening area","Aw;max,i",2,1,1,1]
["Ratio of window opening area to maximum window opening area for a window 'i'","Rw;arg,i",1,1,1,1]
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[]
["Vents"]
["Fill below the description for each vent of the building, blue cells only brown ones are calculated automaticaly. \nUse one column for each vent\nDo not leave void\nTo estimate Cvent;path you can either fill the three first line or directly enter the value in the Cvent;path;i"]
["Area of vents (cm²)","Avent,i",100,100,100,100]
["Discharge coefficient for vents","CD;vent,i",0.6,0.6,0.6,0.6]
["Reference pressure difference for a vent","Dpvent;ref,i",20,20,20,20]
["Or enter directly the coefficient  of vent \"i\"  in the external envelope (Or Use tables below to complete if you know Cvent)\n","Cvent;path,i"]
["Coefficient  of vent \"i\"  in the external envelope (59)\n",null,{"$f":"IF(C29<>\"\",C29,IF(C28<>\"\",3600/10000*C27*C26*(2/rho_a_ref)^0.5*(1/Product_tech_data!C28)^(C31-0.5),\"\"))","v":27.839120160229225},{"$f":"IF(D29<>\"\",D29,IF(D28<>\"\",3600/10000*D27*D26*(2/rho_a_ref)^0.5*(1/Product_tech_data!D28)^(D31-0.5),\"\"))","v":27.839120160229225},{"$f":"IF(E29<>\"\",E29,IF(E28<>\"\",3600/10000*E27*E26*(2/rho_a_ref)^0.5*(1/Product_tech_data!E28)^(E31-0.5),\"\"))","v":27.839120160229225},{"$f":"IF(F29<>\"\",F29,IF(F28<>\"\",3600/10000*F27*F26*(2/rho_a_ref)^0.5*(1/Product_tech_data!F28)^(F31-0.5),\"\"))","v":27.839120160229225},{"$f":"IF(G29<>\"\",G29,IF(G28<>\"\",3600/10000*G27*G26*(2/rho_a_ref)^0.5*(1/Product_tech_data!G28)^(G31-0.5),\"\"))","v":""},{"$f":"IF(H29<>\"\",H29,IF(H28<>\"\",3600/10000*H27*H26*(2/rho_a_ref)^0.5*(1/Product_tech_data!H28)^(H31-0.5),\"\"))","v":""},{"$f":"IF(I29<>\"\",I29,IF(I28<>\"\",3600/10000*I27*I26*(2/rho_a_ref)^0.5*(1/Product_tech_data!I28)^(I31-0.5),\"\"))","v":""},{"$f":"IF(J29<>\"\",J29,IF(J28<>\"\",3600/10000*J27*J26*(2/rho_a_ref)^0.5*(1/Product_tech_data!J28)^(J31-0.5),\"\"))","v":""},{"$f":"IF(K29<>\"\",K29,IF(K28<>\"\",3600/10000*K27*K26*(2/rho_a_ref)^0.5*(1/Product_tech_data!K28)^(K31-0.5),\"\"))","v":""},{"$f":"IF(L29<>\"\",L29,IF(L28<>\"\",3600/10000*L27*L26*(2/rho_a_ref)^0.5*(1/Product_tech_data!L28)^(L31-0.5),\"\"))","v":""},{"$f":"IF(M29<>\"\",M29,IF(M28<>\"\",3600/10000*M27*M26*(2/rho_a_ref)^0.5*(1/Product_tech_data!M28)^(M31-0.5),\"\"))","v":""},{"$f":"IF(N29<>\"\",N29,IF(N28<>\"\",3600/10000*N27*N26*(2/rho_a_ref)^0.5*(1/Product_tech_data!N28)^(N31-0.5),\"\"))","v":""},{"$f":"IF(O29<>\"\",O29,IF(O28<>\"\",3600/10000*O27*O26*(2/rho_a_ref)^0.5*(1/Product_tech_data!O28)^(O31-0.5),\"\"))","v":""},{"$f":"IF(P29<>\"\",P29,IF(P28<>\"\",3600/10000*P27*P26*(2/rho_a_ref)^0.5*(1/Product_tech_data!P28)^(P31-0.5),\"\"))","v":""},{"$f":"IF(Q29<>\"\",Q29,IF(Q28<>\"\",3600/10000*Q27*Q26*(2/rho_a_ref)^0.5*(1/Product_tech_data!Q28)^(Q31-0.5),\"\"))","v":""},{"$f":"IF(R29<>\"\",R29,IF(R28<>\"\",3600/10000*R27*R26*(2/rho_a_ref)^0.5*(1/Product_tech_data!R28)^(R31-0.5),\"\"))","v":""},{"$f":"IF(S29<>\"\",S29,IF(S28<>\"\",3600/10000*S27*S26*(2/rho_a_ref)^0.5*(1/Product_tech_data!S28)^(S31-0.5),\"\"))","v":""},{"$f":"IF(T29<>\"\",T29,IF(T28<>\"\",3600/10000*T27*T26*(2/rho_a_ref)^0.5*(1/Product_tech_data!T28)^(T31-0.5),\"\"))","v":""},{"$f":"IF(U29<>\"\",U29,IF(U28<>\"\",3600/10000*U27*U26*(2/rho_a_ref)^0.5*(1/Product_tech_data!U28)^(U31-0.5),\"\"))","v":""},{"$f":"IF(V29<>\"\",V29,IF(V28<>\"\",3600/10000*V27*V26*(2/rho_a_ref)^0.5*(1/Product_tech_data!V28)^(V31-0.5),\"\"))","v":""},{"$f":"IF(W29<>\"\",W29,IF(W28<>\"\",3600/10000*W27*W26*(2/rho_a_ref)^0.5*(1/Product_tech_data!W28)^(W31-0.5),\"\"))","v":""},{"$f":"IF(X29<>\"\",X29,IF(X28<>\"\",3600/10000*X27*X26*(2/rho_a_ref)^0.5*(1/Product_tech_data!X28)^(X31-0.5),\"\"))","v":""},{"$f":"IF(Y29<>\"\",Y29,IF(Y28<>\"\",3600/10000*Y27*Y26*(2/rho_a_ref)^0.5*(1/Product_tech_data!Y28)^(Y31-0.5),\"\"))","v":""},{"$f":"IF(Z29<>\"\",Z29,IF(Z28<>\"\",3600/10000*Z27*Z26*(2/rho_a_ref)^0.5*(1/Product_tech_data!Z28)^(Z31-0.5),\"\"))","v":""},{"$f":"IF(AA29<>\"\",AA29,IF(AA28<>\"\",3600/10000*AA27*AA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AA28)^(AA31-0.5),\"\"))","v":""},{"$f":"IF(AB29<>\"\",AB29,IF(AB28<>\"\",3600/10000*AB27*AB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AB28)^(AB31-0.5),\"\"))","v":""},{"$f":"IF(AC29<>\"\",AC29,IF(AC28<>\"\",3600/10000*AC27*AC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AC28)^(AC31-0.5),\"\"))","v":""},{"$f":"IF(AD29<>\"\",AD29,IF(AD28<>\"\",3600/10000*AD27*AD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AD28)^(AD31-0.5),\"\"))","v":""},{"$f":"IF(AE29<>\"\",AE29,IF(AE28<>\"\",3600/10000*AE27*AE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AE28)^(AE31-0.5),\"\"))","v":""},{"$f":"IF(AF29<>\"\",AF29,IF(AF28<>\"\",3600/10000*AF27*AF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AF28)^(AF31-0.5),\"\"))","v":""},{"$f":"IF(AG29<>\"\",AG29,IF(AG28<>\"\",3600/10000*AG27*AG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AG28)^(AG31-0.5),\"\"))","v":""},{"$f":"IF(AH29<>\"\",AH29,IF(AH28<>\"\",3600/10000*AH27*AH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AH28)^(AH31-0.5),\"\"))","v":""},{"$f":"IF(AI29<>\"\",AI29,IF(AI28<>\"\",3600/10000*AI27*AI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AI28)^(AI31-0.5),\"\"))","v":""},{"$f":"IF(AJ29<>\"\",AJ29,IF(AJ28<>\"\",3600/10000*AJ27*AJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AJ28)^(AJ31-0.5),\"\"))","v":""},{"$f":"IF(AK29<>\"\",AK29,IF(AK28<>\"\",3600/10000*AK27*AK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AK28)^(AK31-0.5),\"\"))","v":""},{"$f":"IF(AL29<>\"\",AL29,IF(AL28<>\"\",3600/10000*AL27*AL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AL28)^(AL31-0.5),\"\"))","v":""},{"$f":"IF(AM29<>\"\",AM29,IF(AM28<>\"\",3600/10000*AM27*AM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AM28)^(AM31-0.5),\"\"))","v":""},{"$f":"IF(AN29<>\"\",AN29,IF(AN28<>\"\",3600/10000*AN27*AN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AN28)^(AN31-0.5),\"\"))","v":""},{"$f":"IF(AO29<>\"\",AO29,IF(AO28<>\"\",3600/10000*AO27*AO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AO28)^(AO31-0.5),\"\"))","v":""},{"$f":"IF(AP29<>\"\",AP29,IF(AP28<>\"\",3600/10000*AP27*AP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AP28)^(AP31-0.5),\"\"))","v":""},{"$f":"IF(AQ29<>\"\",AQ29,IF(AQ28<>\"\",3600/10000*AQ27*AQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AQ28)^(AQ31-0.5),\"\"))","v":""},{"$f":"IF(AR29<>\"\",AR29,IF(AR28<>\"\",3600/10000*AR27*AR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AR28)^(AR31-0.5),\"\"))","v":""},{"$f":"IF(AS29<>\"\",AS29,IF(AS28<>\"\",3600/10000*AS27*AS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AS28)^(AS31-0.5),\"\"))","v":""},{"$f":"IF(AT29<>\"\",AT29,IF(AT28<>\"\",3600/10000*AT27*AT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AT28)^(AT31-0.5),\"\"))","v":""},{"$f":"IF(AU29<>\"\",AU29,IF(AU28<>\"\",3600/10000*AU27*AU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AU28)^(AU31-0.5),\"\"))","v":""},{"$f":"IF(AV29<>\"\",AV29,IF(AV28<>\"\",3600/10000*AV27*AV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AV28)^(AV31-0.5),\"\"))","v":""},{"$f":"IF(AW29<>\"\",AW29,IF(AW28<>\"\",3600/10000*AW27*AW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AW28)^(AW31-0.5),\"\"))","v":""},{"$f":"IF(AX29<>\"\",AX29,IF(AX28<>\"\",3600/10000*AX27*AX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AX28)^(AX31-0.5),\"\"))","v":""},{"$f":"IF(AY29<>\"\",AY29,IF(AY28<>\"\",3600/10000*AY27*AY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AY28)^(AY31-0.5),\"\"))","v":""},{"$f":"IF(AZ29<>\"\",AZ29,IF(AZ28<>\"\",3600/10000*AZ27*AZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!AZ28)^(AZ31-0.5),\"\"))","v":""},{"$f":"IF(BA29<>\"\",BA29,IF(BA28<>\"\",3600/10000*BA27*BA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BA28)^(BA31-0.5),\"\"))","v":""},{"$f":"IF(BB29<>\"\",BB29,IF(BB28<>\"\",3600/10000*BB27*BB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BB28)^(BB31-0.5),\"\"))","v":""},{"$f":"IF(BC29<>\"\",BC29,IF(BC28<>\"\",3600/10000*BC27*BC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BC28)^(BC31-0.5),\"\"))","v":""},{"$f":"IF(BD29<>\"\",BD29,IF(BD28<>\"\",3600/10000*BD27*BD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BD28)^(BD31-0.5),\"\"))","v":""},{"$f":"IF(BE29<>\"\",BE29,IF(BE28<>\"\",3600/10000*BE27*BE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BE28)^(BE31-0.5),\"\"))","v":""},{"$f":"IF(BF29<>\"\",BF29,IF(BF28<>\"\",3600/10000*BF27*BF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BF28)^(BF31-0.5),\"\"))","v":""},{"$f":"IF(BG29<>\"\",BG29,IF(BG28<>\"\",3600/10000*BG27*BG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BG28)^(BG31-0.5),\"\"))","v":""},{"$f":"IF(BH29<>\"\",BH29,IF(BH28<>\"\",3600/10000*BH27*BH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BH28)^(BH31-0.5),\"\"))","v":""},{"$f":"IF(BI29<>\"\",BI29,IF(BI28<>\"\",3600/10000*BI27*BI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BI28)^(BI31-0.5),\"\"))","v":""},{"$f":"IF(BJ29<>\"\",BJ29,IF(BJ28<>\"\",3600/10000*BJ27*BJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BJ28)^(BJ31-0.5),\"\"))","v":""},{"$f":"IF(BK29<>\"\",BK29,IF(BK28<>\"\",3600/10000*BK27*BK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BK28)^(BK31-0.5),\"\"))","v":""},{"$f":"IF(BL29<>\"\",BL29,IF(BL28<>\"\",3600/10000*BL27*BL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BL28)^(BL31-0.5),\"\"))","v":""},{"$f":"IF(BM29<>\"\",BM29,IF(BM28<>\"\",3600/10000*BM27*BM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BM28)^(BM31-0.5),\"\"))","v":""},{"$f":"IF(BN29<>\"\",BN29,IF(BN28<>\"\",3600/10000*BN27*BN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BN28)^(BN31-0.5),\"\"))","v":""},{"$f":"IF(BO29<>\"\",BO29,IF(BO28<>\"\",3600/10000*BO27*BO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BO28)^(BO31-0.5),\"\"))","v":""},{"$f":"IF(BP29<>\"\",BP29,IF(BP28<>\"\",3600/10000*BP27*BP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BP28)^(BP31-0.5),\"\"))","v":""},{"$f":"IF(BQ29<>\"\",BQ29,IF(BQ28<>\"\",3600/10000*BQ27*BQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQ28)^(BQ31-0.5),\"\"))","v":""},{"$f":"IF(BR29<>\"\",BR29,IF(BR28<>\"\",3600/10000*BR27*BR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BR28)^(BR31-0.5),\"\"))","v":""},{"$f":"IF(BS29<>\"\",BS29,IF(BS28<>\"\",3600/10000*BS27*BS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BS28)^(BS31-0.5),\"\"))","v":""},{"$f":"IF(BT29<>\"\",BT29,IF(BT28<>\"\",3600/10000*BT27*BT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BT28)^(BT31-0.5),\"\"))","v":""},{"$f":"IF(BU29<>\"\",BU29,IF(BU28<>\"\",3600/10000*BU27*BU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BU28)^(BU31-0.5),\"\"))","v":""},{"$f":"IF(BV29<>\"\",BV29,IF(BV28<>\"\",3600/10000*BV27*BV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BV28)^(BV31-0.5),\"\"))","v":""},{"$f":"IF(BW29<>\"\",BW29,IF(BW28<>\"\",3600/10000*BW27*BW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BW28)^(BW31-0.5),\"\"))","v":""},{"$f":"IF(BX29<>\"\",BX29,IF(BX28<>\"\",3600/10000*BX27*BX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BX28)^(BX31-0.5),\"\"))","v":""},{"$f":"IF(BY29<>\"\",BY29,IF(BY28<>\"\",3600/10000*BY27*BY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BY28)^(BY31-0.5),\"\"))","v":""},{"$f":"IF(BZ29<>\"\",BZ29,IF(BZ28<>\"\",3600/10000*BZ27*BZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BZ28)^(BZ31-0.5)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26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KR28)^(KR31-0.5),\"\"))","v":""},{"$f":"IF(KS29<>\"\",KS29,IF(KS28<>\"\",3600/10000*KS27*KS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KS28)^(KS31-0.5),\"\"))","v":""},{"$f":"IF(KT29<>\"\",KT29,IF(KT28<>\"\",3600/10000*KT27*KT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KT28)^(KT31-0.5),\"\"))","v":""},{"$f":"IF(KU29<>\"\",KU29,IF(KU28<>\"\",3600/10000*KU27*KU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KU28)^(KU31-0.5),\"\"))","v":""},{"$f":"IF(KV29<>\"\",KV29,IF(KV28<>\"\",3600/10000*KV27*KV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KV28)^(KV31-0.5),\"\"))","v":""},{"$f":"IF(KW29<>\"\",KW29,IF(KW28<>\"\",3600/10000*KW27*KW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KW28)^(KW31-0.5),\"\"))","v":""},{"$f":"IF(KX29<>\"\",KX29,IF(KX28<>\"\",3600/10000*KX27*KX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KX28)^(KX31-0.5),\"\"))","v":""},{"$f":"IF(KY29<>\"\",KY29,IF(KY28<>\"\",3600/10000*KY27*KY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KY28)^(KY31-0.5),\"\"))","v":""},{"$f":"IF(KZ29<>\"\",KZ29,IF(KZ28<>\"\",3600/10000*KZ27*KZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!KZ28)^(KZ31-0.5),\"\"))","v":""},{"$f":"IF(LA29<>\"\",LA29,IF(LA28<>\"\",3600/10000*LA27*LA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LA28)^(LA31-0.5),\"\"))","v":""},{"$f":"IF(LB29<>\"\",LB29,IF(LB28<>\"\",3600/10000*LB27*LB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LB28)^(LB31-0.5),\"\"))","v":""},{"$f":"IF(LC29<>\"\",LC29,IF(LC28<>\"\",3600/10000*LC27*LC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LC28)^(LC31-0.5),\"\"))","v":""},{"$f":"IF(LD29<>\"\",LD29,IF(LD28<>\"\",3600/10000*LD27*LD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LD28)^(LD31-0.5),\"\"))","v":""},{"$f":"IF(LE29<>\"\",LE29,IF(LE28<>\"\",3600/10000*LE27*LE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LE28)^(LE31-0.5),\"\"))","v":""},{"$f":"IF(LF29<>\"\",LF29,IF(LF28<>\"\",3600/10000*LF27*LF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LF28)^(LF31-0.5),\"\"))","v":""},{"$f":"IF(LG29<>\"\",LG29,IF(LG28<>\"\",3600/10000*LG27*LG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LG28)^(LG31-0.5),\"\"))","v":""},{"$f":"IF(LH29<>\"\",LH29,IF(LH28<>\"\",3600/10000*LH27*LH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LH28)^(LH31-0.5),\"\"))","v":""},{"$f":"IF(LI29<>\"\",LI29,IF(LI28<>\"\",3600/10000*LI27*LI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LI28)^(LI31-0.5),\"\"))","v":""},{"$f":"IF(LJ29<>\"\",LJ29,IF(LJ28<>\"\",3600/10000*LJ27*LJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LJ28)^(LJ31-0.5),\"\"))","v":""},{"$f":"IF(LK29<>\"\",LK29,IF(LK28<>\"\",3600/10000*LK27*LK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LK28)^(LK31-0.5),\"\"))","v":""},{"$f":"IF(LL29<>\"\",LL29,IF(LL28<>\"\",3600/10000*LL27*LL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LL28)^(LL31-0.5),\"\"))","v":""},{"$f":"IF(LM29<>\"\",LM29,IF(LM28<>\"\",3600/10000*LM27*LM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LM28)^(LM31-0.5),\"\"))","v":""},{"$f":"IF(LN29<>\"\",LN29,IF(LN28<>\"\",3600/10000*LN27*LN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LN28)^(LN31-0.5),\"\"))","v":""},{"$f":"IF(LO29<>\"\",LO29,IF(LO28<>\"\",3600/10000*LO27*LO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LO28)^(LO31-0.5),\"\"))","v":""},{"$f":"IF(LP29<>\"\",LP29,IF(LP28<>\"\",3600/10000*LP27*LP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LP28)^(LP31-0.5),\"\"))","v":""},{"$f":"IF(LQ29<>\"\",LQ29,IF(LQ28<>\"\",3600/10000*LQ27*LQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LQ28)^(LQ31-0.5),\"\"))","v":""},{"$f":"IF(LR29<>\"\",LR29,IF(LR28<>\"\",3600/10000*LR27*LR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LR28)^(LR31-0.5),\"\"))","v":""},{"$f":"IF(LS29<>\"\",LS29,IF(LS28<>\"\",3600/10000*LS27*LS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LS28)^(LS31-0.5),\"\"))","v":""},{"$f":"IF(LT29<>\"\",LT29,IF(LT28<>\"\",3600/10000*LT27*LT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LT28)^(LT31-0.5),\"\"))","v":""},{"$f":"IF(LU29<>\"\",LU29,IF(LU28<>\"\",3600/10000*LU27*LU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LU28)^(LU31-0.5),\"\"))","v":""},{"$f":"IF(LV29<>\"\",LV29,IF(LV28<>\"\",3600/10000*LV27*LV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LV28)^(LV31-0.5),\"\"))","v":""},{"$f":"IF(LW29<>\"\",LW29,IF(LW28<>\"\",3600/10000*LW27*LW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LW28)^(LW31-0.5),\"\"))","v":""},{"$f":"IF(LX29<>\"\",LX29,IF(LX28<>\"\",3600/10000*LX27*LX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LX28)^(LX31-0.5),\"\"))","v":""},{"$f":"IF(LY29<>\"\",LY29,IF(LY28<>\"\",3600/10000*LY27*LY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LY28)^(LY31-0.5),\"\"))","v":""},{"$f":"IF(LZ29<>\"\",LZ29,IF(LZ28<>\"\",3600/10000*LZ27*LZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!LZ28)^(LZ31-0.5),\"\"))","v":""},{"$f":"IF(MA29<>\"\",MA29,IF(MA28<>\"\",3600/10000*MA27*MA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!MA28)^(MA31-0.5),\"\"))","v":""},{"$f":"IF(MB29<>\"\",MB29,IF(MB28<>\"\",3600/10000*MB27*MB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!MB28)^(MB31-0.5),\"\"))","v":""},{"$f":"IF(MC29<>\"\",MC29,IF(MC28<>\"\",3600/10000*MC27*MC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!MC28)^(MC31-0.5),\"\"))","v":""},{"$f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o_a_ref)^0.5*(1/Product_tech_data!BCA28)^(BCA31-0.5),\"\"))","v":""},{"$f":"IF(BCB29<>\"\",BCB29,IF(BCB28<>\"\",3600/10000*BCB27*BCB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCB28)^(BCB31-0.5),\"\"))","v":""},{"$f":"IF(BCC29<>\"\",BCC29,IF(BCC28<>\"\",3600/10000*BCC27*BCC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCC28)^(BCC31-0.5),\"\"))","v":""},{"$f":"IF(BCD29<>\"\",BCD29,IF(BCD28<>\"\",3600/10000*BCD27*BCD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCD28)^(BCD31-0.5),\"\"))","v":""},{"$f":"IF(BCE29<>\"\",BCE29,IF(BCE28<>\"\",3600/10000*BCE27*BCE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCE28)^(BCE31-0.5),\"\"))","v":""},{"$f":"IF(BCF29<>\"\",BCF29,IF(BCF28<>\"\",3600/10000*BCF27*BCF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCF28)^(BCF31-0.5),\"\"))","v":""},{"$f":"IF(BCG29<>\"\",BCG29,IF(BCG28<>\"\",3600/10000*BCG27*BCG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCG28)^(BCG31-0.5),\"\"))","v":""},{"$f":"IF(BCH29<>\"\",BCH29,IF(BCH28<>\"\",3600/10000*BCH27*BCH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCH28)^(BCH31-0.5),\"\"))","v":""},{"$f":"IF(BCI29<>\"\",BCI29,IF(BCI28<>\"\",3600/10000*BCI27*BCI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCI28)^(BCI31-0.5),\"\"))","v":""},{"$f":"IF(BCJ29<>\"\",BCJ29,IF(BCJ28<>\"\",3600/10000*BCJ27*BCJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCJ28)^(BCJ31-0.5),\"\"))","v":""},{"$f":"IF(BCK29<>\"\",BCK29,IF(BCK28<>\"\",3600/10000*BCK27*BCK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCK28)^(BCK31-0.5),\"\"))","v":""},{"$f":"IF(BCL29<>\"\",BCL29,IF(BCL28<>\"\",3600/10000*BCL27*BCL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCL28)^(BCL31-0.5),\"\"))","v":""},{"$f":"IF(BCM29<>\"\",BCM29,IF(BCM28<>\"\",3600/10000*BCM27*BCM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCM28)^(BCM31-0.5),\"\"))","v":""},{"$f":"IF(BCN29<>\"\",BCN29,IF(BCN28<>\"\",3600/10000*BCN27*BCN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCN28)^(BCN31-0.5),\"\"))","v":""},{"$f":"IF(BCO29<>\"\",BCO29,IF(BCO28<>\"\",3600/10000*BCO27*BCO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCO28)^(BCO31-0.5),\"\"))","v":""},{"$f":"IF(BCP29<>\"\",BCP29,IF(BCP28<>\"\",3600/10000*BCP27*BCP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCP28)^(BCP31-0.5),\"\"))","v":""},{"$f":"IF(BCQ29<>\"\",BCQ29,IF(BCQ28<>\"\",3600/10000*BCQ27*BCQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCQ28)^(BCQ31-0.5),\"\"))","v":""},{"$f":"IF(BCR29<>\"\",BCR29,IF(BCR28<>\"\",3600/10000*BCR27*BCR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCR28)^(BCR31-0.5),\"\"))","v":""},{"$f":"IF(BCS29<>\"\",BCS29,IF(BCS28<>\"\",3600/10000*BCS27*BCS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCS28)^(BCS31-0.5),\"\"))","v":""},{"$f":"IF(BCT29<>\"\",BCT29,IF(BCT28<>\"\",3600/10000*BCT27*BCT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCT28)^(BCT31-0.5),\"\"))","v":""},{"$f":"IF(BCU29<>\"\",BCU29,IF(BCU28<>\"\",3600/10000*BCU27*BCU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCU28)^(BCU31-0.5),\"\"))","v":""},{"$f":"IF(BCV29<>\"\",BCV29,IF(BCV28<>\"\",3600/10000*BCV27*BCV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCV28)^(BCV31-0.5),\"\"))","v":""},{"$f":"IF(BCW29<>\"\",BCW29,IF(BCW28<>\"\",3600/10000*BCW27*BCW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCW28)^(BCW31-0.5),\"\"))","v":""},{"$f":"IF(BCX29<>\"\",BCX29,IF(BCX28<>\"\",3600/10000*BCX27*BCX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCX28)^(BCX31-0.5),\"\"))","v":""},{"$f":"IF(BCY29<>\"\",BCY29,IF(BCY28<>\"\",3600/10000*BCY27*BCY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCY28)^(BCY31-0.5),\"\"))","v":""},{"$f":"IF(BCZ29<>\"\",BCZ29,IF(BCZ28<>\"\",3600/10000*BCZ27*BCZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BCZ28)^(BCZ31-0.5),\"\"))","v":""},{"$f":"IF(BDA29<>\"\",BDA29,IF(BDA28<>\"\",3600/10000*BDA27*BDA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDA28)^(BDA31-0.5),\"\"))","v":""},{"$f":"IF(BDB29<>\"\",BDB29,IF(BDB28<>\"\",3600/10000*BDB27*BDB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDB28)^(BDB31-0.5),\"\"))","v":""},{"$f":"IF(BDC29<>\"\",BDC29,IF(BDC28<>\"\",3600/10000*BDC27*BDC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDC28)^(BDC31-0.5),\"\"))","v":""},{"$f":"IF(BDD29<>\"\",BDD29,IF(BDD28<>\"\",3600/10000*BDD27*BDD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDD28)^(BDD31-0.5),\"\"))","v":""},{"$f":"IF(BDE29<>\"\",BDE29,IF(BDE28<>\"\",3600/10000*BDE27*BDE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDE28)^(BDE31-0.5),\"\"))","v":""},{"$f":"IF(BDF29<>\"\",BDF29,IF(BDF28<>\"\",3600/10000*BDF27*BDF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDF28)^(BDF31-0.5),\"\"))","v":""},{"$f":"IF(BDG29<>\"\",BDG29,IF(BDG28<>\"\",3600/10000*BDG27*BDG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDG28)^(BDG31-0.5),\"\"))","v":""},{"$f":"IF(BDH29<>\"\",BDH29,IF(BDH28<>\"\",3600/10000*BDH27*BDH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDH28)^(BDH31-0.5),\"\"))","v":""},{"$f":"IF(BDI29<>\"\",BDI29,IF(BDI28<>\"\",3600/10000*BDI27*BDI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDI28)^(BDI31-0.5),\"\"))","v":""},{"$f":"IF(BDJ29<>\"\",BDJ29,IF(BDJ28<>\"\",3600/10000*BDJ27*BDJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDJ28)^(BDJ31-0.5),\"\"))","v":""},{"$f":"IF(BDK29<>\"\",BDK29,IF(BDK28<>\"\",3600/10000*BDK27*BDK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDK28)^(BDK31-0.5),\"\"))","v":""},{"$f":"IF(BDL29<>\"\",BDL29,IF(BDL28<>\"\",3600/10000*BDL27*BDL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDL28)^(BDL31-0.5),\"\"))","v":""},{"$f":"IF(BDM29<>\"\",BDM29,IF(BDM28<>\"\",3600/10000*BDM27*BDM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDM28)^(BDM31-0.5),\"\"))","v":""},{"$f":"IF(BDN29<>\"\",BDN29,IF(BDN28<>\"\",3600/10000*BDN27*BDN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDN28)^(BDN31-0.5),\"\"))","v":""},{"$f":"IF(BDO29<>\"\",BDO29,IF(BDO28<>\"\",3600/10000*BDO27*BDO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDO28)^(BDO31-0.5),\"\"))","v":""},{"$f":"IF(BDP29<>\"\",BDP29,IF(BDP28<>\"\",3600/10000*BDP27*BDP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDP28)^(BDP31-0.5),\"\"))","v":""},{"$f":"IF(BDQ29<>\"\",BDQ29,IF(BDQ28<>\"\",3600/10000*BDQ27*BDQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDQ28)^(BDQ31-0.5),\"\"))","v":""},{"$f":"IF(BDR29<>\"\",BDR29,IF(BDR28<>\"\",3600/10000*BDR27*BDR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDR28)^(BDR31-0.5),\"\"))","v":""},{"$f":"IF(BDS29<>\"\",BDS29,IF(BDS28<>\"\",3600/10000*BDS27*BDS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDS28)^(BDS31-0.5),\"\"))","v":""},{"$f":"IF(BDT29<>\"\",BDT29,IF(BDT28<>\"\",3600/10000*BDT27*BDT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDT28)^(BDT31-0.5),\"\"))","v":""},{"$f":"IF(BDU29<>\"\",BDU29,IF(BDU28<>\"\",3600/10000*BDU27*BDU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDU28)^(BDU31-0.5),\"\"))","v":""},{"$f":"IF(BDV29<>\"\",BDV29,IF(BDV28<>\"\",3600/10000*BDV27*BDV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDV28)^(BDV31-0.5),\"\"))","v":""},{"$f":"IF(BDW29<>\"\",BDW29,IF(BDW28<>\"\",3600/10000*BDW27*BDW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDW28)^(BDW31-0.5),\"\"))","v":""},{"$f":"IF(BDX29<>\"\",BDX29,IF(BDX28<>\"\",3600/10000*BDX27*BDX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDX28)^(BDX31-0.5),\"\"))","v":""},{"$f":"IF(BDY29<>\"\",BDY29,IF(BDY28<>\"\",3600/10000*BDY27*BDY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDY28)^(BDY31-0.5),\"\"))","v":""},{"$f":"IF(BDZ29<>\"\",BDZ29,IF(BDZ28<>\"\",3600/10000*BDZ27*BDZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BDZ28)^(BDZ31-0.5),\"\"))","v":""},{"$f":"IF(BEA29<>\"\",BEA29,IF(BEA28<>\"\",3600/10000*BEA27*BEA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEA28)^(BEA31-0.5),\"\"))","v":""},{"$f":"IF(BEB29<>\"\",BEB29,IF(BEB28<>\"\",3600/10000*BEB27*BEB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEB28)^(BEB31-0.5),\"\"))","v":""},{"$f":"IF(BEC29<>\"\",BEC29,IF(BEC28<>\"\",3600/10000*BEC27*BEC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEC28)^(BEC31-0.5),\"\"))","v":""},{"$f":"IF(BED29<>\"\",BED29,IF(BED28<>\"\",3600/10000*BED27*BED26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BED28)^(BED31-0.5),\"\"))","v":""},{"$f":"IF(BEE29<>\"\",BEE29,IF(BEE28<>\"\",3600/10000*BEE27*BEE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEE28)^(BEE31-0.5),\"\"))","v":""},{"$f":"IF(BEF29<>\"\",BEF29,IF(BEF28<>\"\",3600/10000*BEF27*BEF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEF28)^(BEF31-0.5),\"\"))","v":""},{"$f":"IF(BEG29<>\"\",BEG29,IF(BEG28<>\"\",3600/10000*BEG27*BEG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEG28)^(BEG31-0.5),\"\"))","v":""},{"$f":"IF(BEH29<>\"\",BEH29,IF(BEH28<>\"\",3600/10000*BEH27*BEH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEH28)^(BEH31-0.5),\"\"))","v":""},{"$f":"IF(BEI29<>\"\",BEI29,IF(BEI28<>\"\",3600/10000*BEI27*BEI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEI28)^(BEI31-0.5),\"\"))","v":""},{"$f":"IF(BEJ29<>\"\",BEJ29,IF(BEJ28<>\"\",3600/10000*BEJ27*BEJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEJ28)^(BEJ31-0.5),\"\"))","v":""},{"$f":"IF(BEK29<>\"\",BEK29,IF(BEK28<>\"\",3600/10000*BEK27*BEK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEK28)^(BEK31-0.5),\"\"))","v":""},{"$f":"IF(BEL29<>\"\",BEL29,IF(BEL28<>\"\",3600/10000*BEL27*BEL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEL28)^(BEL31-0.5),\"\"))","v":""},{"$f":"IF(BEM29<>\"\",BEM29,IF(BEM28<>\"\",3600/10000*BEM27*BEM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEM28)^(BEM31-0.5),\"\"))","v":""},{"$f":"IF(BEN29<>\"\",BEN29,IF(BEN28<>\"\",3600/10000*BEN27*BEN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEN28)^(BEN31-0.5),\"\"))","v":""},{"$f":"IF(BEO29<>\"\",BEO29,IF(BEO28<>\"\",3600/10000*BEO27*BEO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEO28)^(BEO31-0.5),\"\"))","v":""},{"$f":"IF(BEP29<>\"\",BEP29,IF(BEP28<>\"\",3600/10000*BEP27*BEP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEP28)^(BEP31-0.5),\"\"))","v":""},{"$f":"IF(BEQ29<>\"\",BEQ29,IF(BEQ28<>\"\",3600/10000*BEQ27*BEQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BEQ28)^(BEQ31-0.5),\"\"))","v":""},{"$f":"IF(BER29<>\"\",BER29,IF(BER28<>\"\",3600/10000*BER27*BER26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BER28)^(BER31-0.5),\"\"))","v":""},{"$f":"IF(BES29<>\"\",BES29,IF(BES28<>\"\",3600/10000*BES27*BES26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BES28)^(BES31-0.5),\"\"))","v":""},{"$f":"IF(BET29<>\"\",BET29,IF(BET28<>\"\",3600/10000*BET27*BET26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BET28)^(BET31-0.5),\"\"))"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uct_tech_data!BGD28)^(BGD31-0.5),\"\"))","v":""},{"$f":"IF(BGE29<>\"\",BGE29,IF(BGE28<>\"\",3600/10000*BGE27*BGE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGE28)^(BGE31-0.5),\"\"))","v":""},{"$f":"IF(BGF29<>\"\",BGF29,IF(BGF28<>\"\",3600/10000*BGF27*BGF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGF28)^(BGF31-0.5),\"\"))","v":""},{"$f":"IF(BGG29<>\"\",BGG29,IF(BGG28<>\"\",3600/10000*BGG27*BGG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGG28)^(BGG31-0.5),\"\"))","v":""},{"$f":"IF(BGH29<>\"\",BGH29,IF(BGH28<>\"\",3600/10000*BGH27*BGH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGH28)^(BGH31-0.5),\"\"))","v":""},{"$f":"IF(BGI29<>\"\",BGI29,IF(BGI28<>\"\",3600/10000*BGI27*BGI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGI28)^(BGI31-0.5),\"\"))","v":""},{"$f":"IF(BGJ29<>\"\",BGJ29,IF(BGJ28<>\"\",3600/10000*BGJ27*BGJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGJ28)^(BGJ31-0.5),\"\"))","v":""},{"$f":"IF(BGK29<>\"\",BGK29,IF(BGK28<>\"\",3600/10000*BGK27*BGK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGK28)^(BGK31-0.5),\"\"))","v":""},{"$f":"IF(BGL29<>\"\",BGL29,IF(BGL28<>\"\",3600/10000*BGL27*BGL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGL28)^(BGL31-0.5),\"\"))","v":""},{"$f":"IF(BGM29<>\"\",BGM29,IF(BGM28<>\"\",3600/10000*BGM27*BGM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGM28)^(BGM31-0.5),\"\"))","v":""},{"$f":"IF(BGN29<>\"\",BGN29,IF(BGN28<>\"\",3600/10000*BGN27*BGN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGN28)^(BGN31-0.5),\"\"))","v":""},{"$f":"IF(BGO29<>\"\",BGO29,IF(BGO28<>\"\",3600/10000*BGO27*BGO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGO28)^(BGO31-0.5),\"\"))","v":""},{"$f":"IF(BGP29<>\"\",BGP29,IF(BGP28<>\"\",3600/10000*BGP27*BGP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGP28)^(BGP31-0.5),\"\"))","v":""},{"$f":"IF(BGQ29<>\"\",BGQ29,IF(BGQ28<>\"\",3600/10000*BGQ27*BGQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGQ28)^(BGQ31-0.5),\"\"))","v":""},{"$f":"IF(BGR29<>\"\",BGR29,IF(BGR28<>\"\",3600/10000*BGR27*BGR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGR28)^(BGR31-0.5),\"\"))","v":""},{"$f":"IF(BGS29<>\"\",BGS29,IF(BGS28<>\"\",3600/10000*BGS27*BGS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGS28)^(BGS31-0.5),\"\"))","v":""},{"$f":"IF(BGT29<>\"\",BGT29,IF(BGT28<>\"\",3600/10000*BGT27*BGT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGT28)^(BGT31-0.5),\"\"))","v":""},{"$f":"IF(BGU29<>\"\",BGU29,IF(BGU28<>\"\",3600/10000*BGU27*BGU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGU28)^(BGU31-0.5),\"\"))","v":""},{"$f":"IF(BGV29<>\"\",BGV29,IF(BGV28<>\"\",3600/10000*BGV27*BGV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGV28)^(BGV31-0.5),\"\"))","v":""},{"$f":"IF(BGW29<>\"\",BGW29,IF(BGW28<>\"\",3600/10000*BGW27*BGW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGW28)^(BGW31-0.5),\"\"))","v":""},{"$f":"IF(BGX29<>\"\",BGX29,IF(BGX28<>\"\",3600/10000*BGX27*BGX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGX28)^(BGX31-0.5),\"\"))","v":""},{"$f":"IF(BGY29<>\"\",BGY29,IF(BGY28<>\"\",3600/10000*BGY27*BGY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGY28)^(BGY31-0.5),\"\"))","v":""},{"$f":"IF(BGZ29<>\"\",BGZ29,IF(BGZ28<>\"\",3600/10000*BGZ27*BGZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BGZ28)^(BGZ31-0.5),\"\"))","v":""},{"$f":"IF(BHA29<>\"\",BHA29,IF(BHA28<>\"\",3600/10000*BHA27*BHA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHA28)^(BHA31-0.5),\"\"))","v":""},{"$f":"IF(BHB29<>\"\",BHB29,IF(BHB28<>\"\",3600/10000*BHB27*BHB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHB28)^(BHB31-0.5),\"\"))","v":""},{"$f":"IF(BHC29<>\"\",BHC29,IF(BHC28<>\"\",3600/10000*BHC27*BHC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHC28)^(BHC31-0.5),\"\"))","v":""},{"$f":"IF(BHD29<>\"\",BHD29,IF(BHD28<>\"\",3600/10000*BHD27*BHD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHD28)^(BHD31-0.5),\"\"))","v":""},{"$f":"IF(BHE29<>\"\",BHE29,IF(BHE28<>\"\",3600/10000*BHE27*BHE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHE28)^(BHE31-0.5),\"\"))","v":""},{"$f":"IF(BHF29<>\"\",BHF29,IF(BHF28<>\"\",3600/10000*BHF27*BHF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHF28)^(BHF31-0.5),\"\"))","v":""},{"$f":"IF(BHG29<>\"\",BHG29,IF(BHG28<>\"\",3600/10000*BHG27*BHG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHG28)^(BHG31-0.5),\"\"))","v":""},{"$f":"IF(BHH29<>\"\",BHH29,IF(BHH28<>\"\",3600/10000*BHH27*BHH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHH28)^(BHH31-0.5),\"\"))","v":""},{"$f":"IF(BHI29<>\"\",BHI29,IF(BHI28<>\"\",3600/10000*BHI27*BHI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHI28)^(BHI31-0.5),\"\"))","v":""},{"$f":"IF(BHJ29<>\"\",BHJ29,IF(BHJ28<>\"\",3600/10000*BHJ27*BHJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHJ28)^(BHJ31-0.5),\"\"))","v":""},{"$f":"IF(BHK29<>\"\",BHK29,IF(BHK28<>\"\",3600/10000*BHK27*BHK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHK28)^(BHK31-0.5),\"\"))","v":""},{"$f":"IF(BHL29<>\"\",BHL29,IF(BHL28<>\"\",3600/10000*BHL27*BHL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHL28)^(BHL31-0.5),\"\"))","v":""},{"$f":"IF(BHM29<>\"\",BHM29,IF(BHM28<>\"\",3600/10000*BHM27*BHM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BHM28)^(BHM31-0.5),\"\"))","v":""},{"$f":"IF(BHN29<>\"\",BHN29,IF(BHN28<>\"\",3600/100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^(BKG31-0.5),\"\"))","v":""},{"$f":"IF(BKH29<>\"\",BKH29,IF(BKH28<>\"\",3600/10000*BKH27*BKH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKH28)^(BKH31-0.5),\"\"))","v":""},{"$f":"IF(BKI29<>\"\",BKI29,IF(BKI28<>\"\",3600/10000*BKI27*BKI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKI28)^(BKI31-0.5),\"\"))","v":""},{"$f":"IF(BKJ29<>\"\",BKJ29,IF(BKJ28<>\"\",3600/10000*BKJ27*BKJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKJ28)^(BKJ31-0.5),\"\"))","v":""},{"$f":"IF(BKK29<>\"\",BKK29,IF(BKK28<>\"\",3600/10000*BKK27*BKK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKK28)^(BKK31-0.5),\"\"))","v":""},{"$f":"IF(BKL29<>\"\",BKL29,IF(BKL28<>\"\",3600/10000*BKL27*BKL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKL28)^(BKL31-0.5),\"\"))","v":""},{"$f":"IF(BKM29<>\"\",BKM29,IF(BKM28<>\"\",3600/10000*BKM27*BKM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKM28)^(BKM31-0.5),\"\"))","v":""},{"$f":"IF(BKN29<>\"\",BKN29,IF(BKN28<>\"\",3600/10000*BKN27*BKN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKN28)^(BKN31-0.5),\"\"))","v":""},{"$f":"IF(BKO29<>\"\",BKO29,IF(BKO28<>\"\",3600/10000*BKO27*BKO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKO28)^(BKO31-0.5),\"\"))","v":""},{"$f":"IF(BKP29<>\"\",BKP29,IF(BKP28<>\"\",3600/10000*BKP27*BKP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKP28)^(BKP31-0.5),\"\"))","v":""},{"$f":"IF(BKQ29<>\"\",BKQ29,IF(BKQ28<>\"\",3600/10000*BKQ27*BKQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKQ28)^(BKQ31-0.5),\"\"))","v":""},{"$f":"IF(BKR29<>\"\",BKR29,IF(BKR28<>\"\",3600/10000*BKR27*BKR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKR28)^(BKR31-0.5),\"\"))","v":""},{"$f":"IF(BKS29<>\"\",BKS29,IF(BKS28<>\"\",3600/10000*BKS27*BKS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKS28)^(BKS31-0.5),\"\"))","v":""},{"$f":"IF(BKT29<>\"\",BKT29,IF(BKT28<>\"\",3600/10000*BKT27*BKT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKT28)^(BKT31-0.5),\"\"))","v":""},{"$f":"IF(BKU29<>\"\",BKU29,IF(BKU28<>\"\",3600/10000*BKU27*BKU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKU28)^(BKU31-0.5),\"\"))","v":""},{"$f":"IF(BKV29<>\"\",BKV29,IF(BKV28<>\"\",3600/10000*BKV27*BKV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKV28)^(BKV31-0.5),\"\"))","v":""},{"$f":"IF(BKW29<>\"\",BKW29,IF(BKW28<>\"\",3600/10000*BKW27*BKW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKW28)^(BKW31-0.5),\"\"))","v":""},{"$f":"IF(BKX29<>\"\",BKX29,IF(BKX28<>\"\",3600/10000*BKX27*BKX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKX28)^(BKX31-0.5),\"\"))","v":""},{"$f":"IF(BKY29<>\"\",BKY29,IF(BKY28<>\"\",3600/10000*BKY27*BKY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKY28)^(BKY31-0.5),\"\"))","v":""},{"$f":"IF(BKZ29<>\"\",BKZ29,IF(BKZ28<>\"\",3600/10000*BKZ27*BKZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BKZ28)^(BKZ31-0.5),\"\"))","v":""},{"$f":"IF(BLA29<>\"\",BLA29,IF(BLA28<>\"\",3600/10000*BLA27*BLA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLA28)^(BLA31-0.5),\"\"))","v":""},{"$f":"IF(BLB29<>\"\",BLB29,IF(BLB28<>\"\",3600/10000*BLB27*BLB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLB28)^(BLB31-0.5),\"\"))","v":""},{"$f":"IF(BLC29<>\"\",BLC29,IF(BLC28<>\"\",3600/10000*BLC27*BLC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLC28)^(BLC31-0.5),\"\"))","v":""},{"$f":"IF(BLD29<>\"\",BLD29,IF(BLD28<>\"\",3600/10000*BLD27*BLD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLD28)^(BLD31-0.5),\"\"))","v":""},{"$f":"IF(BLE29<>\"\",BLE29,IF(BLE28<>\"\",3600/10000*BLE27*BLE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLE28)^(BLE31-0.5),\"\"))","v":""},{"$f":"IF(BLF29<>\"\",BLF29,IF(BLF28<>\"\",3600/10000*BLF27*BLF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLF28)^(BLF31-0.5),\"\"))","v":""},{"$f":"IF(BLG29<>\"\",BLG29,IF(BLG28<>\"\",3600/10000*BLG27*BLG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLG28)^(BLG31-0.5),\"\"))","v":""},{"$f":"IF(BLH29<>\"\",BLH29,IF(BLH28<>\"\",3600/10000*BLH27*BLH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLH28)^(BLH31-0.5),\"\"))","v":""},{"$f":"IF(BLI29<>\"\",BLI29,IF(BLI28<>\"\",3600/10000*BLI27*BLI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLI28)^(BLI31-0.5),\"\"))","v":""},{"$f":"IF(BLJ29<>\"\",BLJ29,IF(BLJ28<>\"\",3600/10000*BLJ27*BLJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLJ28)^(BLJ31-0.5),\"\"))","v":""},{"$f":"IF(BLK29<>\"\",BLK29,IF(BLK28<>\"\",3600/10000*BLK27*BLK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLK28)^(BLK31-0.5),\"\"))","v":""},{"$f":"IF(BLL29<>\"\",BLL29,IF(BLL28<>\"\",3600/10000*BLL27*BLL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLL28)^(BLL31-0.5),\"\"))","v":""},{"$f":"IF(BLM29<>\"\",BLM29,IF(BLM28<>\"\",3600/10000*BLM27*BLM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLM28)^(BLM31-0.5),\"\"))","v":""},{"$f":"IF(BLN29<>\"\",BLN29,IF(BLN28<>\"\",3600/10000*BLN27*BLN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLN28)^(BLN31-0.5),\"\"))","v":""},{"$f":"IF(BLO29<>\"\",BLO29,IF(BLO28<>\"\",3600/10000*BLO27*BLO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLO28)^(BLO31-0.5),\"\"))","v":""},{"$f":"IF(BLP29<>\"\",BLP29,IF(BLP28<>\"\",3600/10000*BLP27*BLP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLP28)^(BLP31-0.5),\"\"))","v":""},{"$f":"IF(BLQ29<>\"\",BLQ29,IF(BLQ28<>\"\",3600/10000*BLQ27*BLQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLQ28)^(BLQ31-0.5),\"\"))","v":""},{"$f":"IF(BLR29<>\"\",BLR29,IF(BLR28<>\"\",3600/10000*BLR27*BLR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLR28)^(BLR31-0.5),\"\"))","v":""},{"$f":"IF(BLS29<>\"\",BLS29,IF(BLS28<>\"\",3600/10000*BLS27*BLS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLS28)^(BLS31-0.5),\"\"))","v":""},{"$f":"IF(BLT29<>\"\",BLT29,IF(BLT28<>\"\",3600/10000*BLT27*BLT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLT28)^(BLT31-0.5),\"\"))","v":""},{"$f":"IF(BLU29<>\"\",BLU29,IF(BLU28<>\"\",3600/10000*BLU27*BLU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLU28)^(BLU31-0.5),\"\"))","v":""},{"$f":"IF(BLV29<>\"\",BLV29,IF(BLV28<>\"\",3600/10000*BLV27*BLV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLV28)^(BLV31-0.5),\"\"))","v":""},{"$f":"IF(BLW29<>\"\",BLW29,IF(BLW28<>\"\",3600/10000*BLW27*BLW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLW28)^(BLW31-0.5),\"\"))","v":""},{"$f":"IF(BLX29<>\"\",BLX29,IF(BLX28<>\"\",3600/10000*BLX27*BLX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLX28)^(BLX31-0.5),\"\"))","v":""},{"$f":"IF(BLY29<>\"\",BLY29,IF(BLY28<>\"\",3600/10000*BLY27*BLY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLY28)^(BLY31-0.5),\"\"))","v":""},{"$f":"IF(BLZ29<>\"\",BLZ29,IF(BLZ28<>\"\",3600/10000*BLZ27*BLZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BLZ28)^(BLZ31-0.5),\"\"))","v":""},{"$f":"IF(BMA29<>\"\",BMA29,IF(BMA28<>\"\",3600/10000*BMA27*BMA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMA28)^(BMA31-0.5),\"\"))","v":""},{"$f":"IF(BMB29<>\"\",BMB29,IF(BMB28<>\"\",3600/10000*BMB27*BMB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMB28)^(BMB31-0.5),\"\"))","v":""},{"$f":"IF(BMC29<>\"\",BMC29,IF(BMC28<>\"\",3600/10000*BMC27*BMC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMC28)^(BMC31-0.5),\"\"))","v":""},{"$f":"IF(BMD29<>\"\",BMD29,IF(BMD28<>\"\",3600/10000*BMD27*BMD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMD28)^(BMD31-0.5),\"\"))","v":""},{"$f":"IF(BME29<>\"\",BME29,IF(BME28<>\"\",3600/10000*BME27*BME26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BME28)^(BME31-0.5),\"\"))","v":""},{"$f":"IF(BMF29<>\"\",BMF29,IF(BMF28<>\"\",3600/10000*BMF27*BMF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMF28)^(BMF31-0.5),\"\"))","v":""},{"$f":"IF(BMG29<>\"\",BMG29,IF(BMG28<>\"\",3600/10000*BMG27*BMG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMG28)^(BMG31-0.5),\"\"))","v":""},{"$f":"IF(BMH29<>\"\",BMH29,IF(BMH28<>\"\",3600/10000*BMH27*BMH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMH28)^(BMH31-0.5),\"\"))","v":""},{"$f":"IF(BMI29<>\"\",BMI29,IF(BMI28<>\"\",3600/10000*BMI27*BMI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMI28)^(BMI31-0.5),\"\"))","v":""},{"$f":"IF(BMJ29<>\"\",BMJ29,IF(BMJ28<>\"\",3600/10000*BMJ27*BMJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMJ28)^(BMJ31-0.5),\"\"))","v":""},{"$f":"IF(BMK29<>\"\",BMK29,IF(BMK28<>\"\",3600/10000*BMK27*BMK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMK28)^(BMK31-0.5),\"\"))","v":""},{"$f":"IF(BML29<>\"\",BML29,IF(BML28<>\"\",3600/10000*BML27*BML26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BML28)^(BML31-0.5),\"\"))","v":""},{"$f":"IF(BMM29<>\"\",BMM29,IF(BMM28<>\"\",3600/10000*BMM27*BMM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMM28)^(BMM31-0.5),\"\"))","v":""},{"$f":"IF(BMN29<>\"\",BMN29,IF(BMN28<>\"\",3600/10000*BMN27*BMN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMN28)^(BMN31-0.5),\"\"))","v":""},{"$f":"IF(BMO29<>\"\",BMO29,IF(BMO28<>\"\",3600/10000*BMO27*BMO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMO28)^(BMO31-0.5),\"\"))","v":""},{"$f":"IF(BMP29<>\"\",BMP29,IF(BMP28<>\"\",3600/10000*BMP27*BMP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMP28)^(BMP31-0.5),\"\"))","v":""},{"$f":"IF(BMQ29<>\"\",BMQ29,IF(BMQ28<>\"\",3600/10000*BMQ27*BMQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMQ28)^(BMQ31-0.5),\"\"))","v":""},{"$f":"IF(BMR29<>\"\",BMR29,IF(BMR28<>\"\",3600/10000*BMR27*BMR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMR28)^(BMR31-0.5),\"\"))","v":""},{"$f":"IF(BMS29<>\"\",BMS29,IF(BMS28<>\"\",3600/10000*BMS27*BMS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMS28)^(BMS31-0.5),\"\"))","v":""},{"$f":"IF(BMT29<>\"\",BMT29,IF(BMT28<>\"\",3600/10000*BMT27*BMT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMT28)^(BMT31-0.5),\"\"))","v":""},{"$f":"IF(BMU29<>\"\",BMU29,IF(BMU28<>\"\",3600/10000*BMU27*BMU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMU28)^(BMU31-0.5),\"\"))","v":""},{"$f":"IF(BMV29<>\"\",BMV29,IF(BMV28<>\"\",3600/10000*BMV27*BMV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMV28)^(BMV31-0.5),\"\"))","v":""},{"$f":"IF(BMW29<>\"\",BMW29,IF(BMW28<>\"\",3600/10000*BMW27*BMW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMW28)^(BMW31-0.5),\"\"))","v":""},{"$f":"IF(BMX29<>\"\",BMX29,IF(BMX28<>\"\",3600/10000*BMX27*BMX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMX28)^(BMX31-0.5),\"\"))","v":""},{"$f":"IF(BMY29<>\"\",BMY29,IF(BMY28<>\"\",3600/10000*BMY27*BMY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMY28)^(BMY31-0.5),\"\"))","v":""},{"$f":"IF(BMZ29<>\"\",BMZ29,IF(BMZ28<>\"\",3600/10000*BMZ27*BMZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BMZ28)^(BMZ31-0.5),\"\"))","v":""},{"$f":"IF(BNA29<>\"\",BNA29,IF(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uct_tech_data!BPT28)^(BPT31-0.5),\"\"))","v":""},{"$f":"IF(BPU29<>\"\",BPU29,IF(BPU28<>\"\",3600/10000*BPU27*BPU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BPU28)^(BPU31-0.5),\"\"))","v":""},{"$f":"IF(BPV29<>\"\",BPV29,IF(BPV28<>\"\",3600/10000*BPV27*BPV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BPV28)^(BPV31-0.5),\"\"))","v":""},{"$f":"IF(BPW29<>\"\",BPW29,IF(BPW28<>\"\",3600/10000*BPW27*BPW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BPW28)^(BPW31-0.5),\"\"))","v":""},{"$f":"IF(BPX29<>\"\",BPX29,IF(BPX28<>\"\",3600/10000*BPX27*BPX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BPX28)^(BPX31-0.5),\"\"))","v":""},{"$f":"IF(BPY29<>\"\",BPY29,IF(BPY28<>\"\",3600/10000*BPY27*BPY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BPY28)^(BPY31-0.5),\"\"))","v":""},{"$f":"IF(BPZ29<>\"\",BPZ29,IF(BPZ28<>\"\",3600/10000*BPZ27*BPZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BPZ28)^(BPZ31-0.5),\"\"))","v":""},{"$f":"IF(BQA29<>\"\",BQA29,IF(BQA28<>\"\",3600/10000*BQA27*BQA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQA28)^(BQA31-0.5),\"\"))","v":""},{"$f":"IF(BQB29<>\"\",BQB29,IF(BQB28<>\"\",3600/10000*BQB27*BQB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQB28)^(BQB31-0.5),\"\"))","v":""},{"$f":"IF(BQC29<>\"\",BQC29,IF(BQC28<>\"\",3600/10000*BQC27*BQC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQC28)^(BQC31-0.5),\"\"))","v":""},{"$f":"IF(BQD29<>\"\",BQD29,IF(BQD28<>\"\",3600/10000*BQD27*BQD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQD28)^(BQD31-0.5),\"\"))","v":""},{"$f":"IF(BQE29<>\"\",BQE29,IF(BQE28<>\"\",3600/10000*BQE27*BQE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQE28)^(BQE31-0.5),\"\"))","v":""},{"$f":"IF(BQF29<>\"\",BQF29,IF(BQF28<>\"\",3600/10000*BQF27*BQF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQF28)^(BQF31-0.5),\"\"))","v":""},{"$f":"IF(BQG29<>\"\",BQG29,IF(BQG28<>\"\",3600/10000*BQG27*BQG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQG28)^(BQG31-0.5),\"\"))","v":""},{"$f":"IF(BQH29<>\"\",BQH29,IF(BQH28<>\"\",3600/10000*BQH27*BQH26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQH28)^(BQH31-0.5),\"\"))","v":""},{"$f":"IF(BQI29<>\"\",BQI29,IF(BQI28<>\"\",3600/10000*BQI27*BQI26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQI28)^(BQI31-0.5),\"\"))","v":""},{"$f":"IF(BQJ29<>\"\",BQJ29,IF(BQJ28<>\"\",3600/10000*BQJ27*BQJ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQJ28)^(BQJ31-0.5),\"\"))","v":""},{"$f":"IF(BQK29<>\"\",BQK29,IF(BQK28<>\"\",3600/10000*BQK27*BQK26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQK28)^(BQK31-0.5),\"\"))","v":""},{"$f":"IF(BQL29<>\"\",BQL29,IF(BQL28<>\"\",3600/10000*BQL27*BQL26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQL28)^(BQL31-0.5),\"\"))","v":""},{"$f":"IF(BQM29<>\"\",BQM29,IF(BQM28<>\"\",3600/10000*BQM27*BQM26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQM28)^(BQM31-0.5),\"\"))","v":""},{"$f":"IF(BQN29<>\"\",BQN29,IF(BQN28<>\"\",3600/10000*BQN27*BQN26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQN28)^(BQN31-0.5),\"\"))","v":""},{"$f":"IF(BQO29<>\"\",BQO29,IF(BQO28<>\"\",3600/10000*BQO27*BQO26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQO28)^(BQO31-0.5),\"\"))","v":""},{"$f":"IF(BQP29<>\"\",BQP29,IF(BQP28<>\"\",3600/10000*BQP27*BQP26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQP28)^(BQP31-0.5),\"\"))","v":""},{"$f":"IF(BQQ29<>\"\",BQQ29,IF(BQQ28<>\"\",3600/10000*BQQ27*BQQ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQQ28)^(BQQ31-0.5),\"\"))","v":""},{"$f":"IF(BQR29<>\"\",BQR29,IF(BQR28<>\"\",3600/10000*BQR27*BQR26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQR28)^(BQR31-0.5),\"\"))","v":""},{"$f":"IF(BQS29<>\"\",BQS29,IF(BQS28<>\"\",3600/10000*BQS27*BQS26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQS28)^(BQS31-0.5),\"\"))","v":""},{"$f":"IF(BQT29<>\"\",BQT29,IF(BQT28<>\"\",3600/10000*BQT27*BQT26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQT28)^(BQT31-0.5),\"\"))","v":""},{"$f":"IF(BQU29<>\"\",BQU29,IF(BQU28<>\"\",3600/10000*BQU27*BQU26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQU28)^(BQU31-0.5),\"\"))","v":""},{"$f":"IF(BQV29<>\"\",BQV29,IF(BQV28<>\"\",3600/10000*BQV27*BQV26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQV28)^(BQV31-0.5),\"\"))","v":""},{"$f":"IF(BQW29<>\"\",BQW29,IF(BQW28<>\"\",3600/10000*BQW27*BQW26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQW28)^(BQW31-0.5),\"\"))","v":""},{"$f":"IF(BQX29<>\"\",BQX29,IF(BQX28<>\"\",3600/10000*BQX27*BQX26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQX28)^(BQX31-0.5),\"\"))","v":""},{"$f":"IF(BQY29<>\"\",BQY29,IF(BQY28<>\"\",3600/10000*BQY27*BQY26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQY28)^(BQY31-0.5),\"\"))","v":""},{"$f":"IF(BQZ29<>\"\",BQZ29,IF(BQZ28<>\"\",3600/10000*BQZ27*BQZ26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BQZ28)^(BQZ31-0.5),\"\"))","v":""},{"$f":"IF(BRA29<>\"\",BRA29,IF(BRA28<>\"\",3600/10000*BRA27*BRA26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BRA28)^(BRA31-0.5),\"\"))","v":""},{"$f":"IF(BRB29<>\"\",BRB29,IF(BRB28<>\"\",3600/10000*BRB27*BRB26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BRB28)^(BRB31-0.5),\"\"))","v":""},{"$f":"IF(BRC29<>\"\",BRC29,IF(BRC28<>\"\",3600/10000*BRC27*BRC26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BRC28)^(BRC31-0.5),\"\"))","v":""},{"$f":"IF(BRD29<>\"\",BRD29,IF(BRD28<>\"\",3600/10000*BRD27*BRD26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BRD28)^(BRD31-0.5),\"\"))","v":""},{"$f":"IF(BRE29<>\"\",BRE29,IF(BRE28<>\"\",3600/10000*BRE27*BRE26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BRE28)^(BRE31-0.5),\"\"))","v":""},{"$f":"IF(BRF29<>\"\",BRF29,IF(BRF28<>\"\",3600/10000*BRF27*BRF26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BRF28)^(BRF31-0.5),\"\"))","v":""},{"$f":"IF(BRG29<>\"\",BRG29,IF(BRG28<>\"\",3600/10000*BRG27*BRG26*(2/rho_a_ref)^0.5*(1/Product_tech_data!BRG28)^(BRG31-0.5),\"\"))","v":""}]
["Flow exponent of vents in the external envelope intended for ventilation","nvent,i",0.5,0.5,0.5,0.5]
["Wind pressure coefficient for air flow path \"i\"Use table in Process_design_data to complete","Cp;path,i",0.25,0.25,-0.5,-0.5]
["Mid-height of the air flow path \"i\" relative to ventilation zone floor level Use tables below for default distribution","hpath,i",{"$f":"0.25*h_z","v":1},{"$f":"0.75*h_z","v":3},{"$f":"0.25*h_z","v":1},{"$f":"0.75*h_z","v":3}]
["Pressure difference at the  \"i\" 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[]
["Leaks"]
["Fill below the description for each leak of the building, blue cells only brown ones are calculated automaticaly. . \nUse one column for each leak\nDo not leave void\n"]
["Coefficient  of leakage \"i\"  in the external envelope Use tables below for default repartition from airtighness coefficient\n","Cleak;path,i",2.6,2.6,2.6,2.6,8.8000000000000007]
["Flow exponent of vents in the external envelope intended for ventilation","nleak",0.66700000000000004,0.66700000000000004,0.66700000000000004,0.66700000000000004,0.66700000000000004]
["Wind pressure coefficient for air flow path \"i\" Use table in Process_design_data to complete","Cp;path,i",0.25,0.25,-0.5,-0.5,-0.5]
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[]
["B.3.2.3 Combustion air flow factor","f_as",null,{"$f":"OFFSET(D50,A49,0)","v":1}]
["Data for appliance system factor"]
[]
[2]
["Combustion airsupply situation","Flue gas exhaust situation","Typical combustionappliance system","Appliance system factor  (fas)\n"]
["Combustion air is taken from room air (1)","Flue gases are exhausted into room"," Kitchen stove\nGas appliance according to CEN/TR 1749 Type A\n",0]
["Combustion air is taken from room air (2)","Flue gases are exhausted into separate duct"," Open fire place\nGas appliance according to CEN/TR1749 Type B",1]
["Combustion air is taken from room air","Flue gases are exhausted in duct simultaneously with mechanical ventilation exhaust air","Specific  gas appliance",null,"Considered as a mechanical extraction system, but with variable air flow, depending of both the exhaust and the combustion appliance. No default value: in this case enter the system value\n"]
["Combustion air is delivered directly from outside in a separate duct, sealed from room air","Flue gases are exhausted into a separate duct"," Gas appliance according to CEN/TR 1749 Type C (room air sealed systems)\n Closed fire place (wood, coal or wood/coal-effect gas fire)",0]
[]
[]
[]
["B.3.2.3 Combustion air flow factor","f_ff",null,{"$f":"OFFSET(C64,A61,0)","v":3.35}]
["Data for fuel flow factor"]
[]
[4]
[]
[]
["Fuel type","Appliance type","Fuel flow factor,fff [l/s per kW]"]
["Wood","Open fire place",2.8]
["Gas","Closed with built in fan",0.38]
[null,"Open gas with fue balancer",0.78]
[null,"Open gas kitchen stove",3.35]
[null,"Open gas/wood/coal effect gas fire\n",3.35]
["oil","Closed fire (oil)",0.32]
["Coal","Closed fire (Coal)",0.52]
[]
[]
["B.3.2.4 Mecanical ventilation","f_ctrl",null,{"$f":"OFFSET(C80,A77,0)","v":1}]
[]
[]
[4]
[]
[]
["Sensor type","Building type","fctrl"]
["People count or CO2 sensor","Non-residential",0.8]
["Occupancy sensor","Non-residential",0.9]
["All other sensor","Non-residential",1]
["All","Residential",1]
[]
["B.3.2.4 Mecanical ventilation","f_sys",null,{"$f":"OFFSET(C92,A89,0)","v":1.2}]
[]
[]
[3]
[]
[]
["Sensor type",null,"fsys"]
["Certified system with fctrl<1",null,1]
["Certified system with fctrl=1",null,1.1000000000000001]
["Non-certified system",null,1.2]
[]
[]
["B.3.3.12 Distribution of Vents"]
["To update values first complete Cvent in Method input"]
["Air flow path height","Windward facade","Leeward facade"]
[" 0,25 hz",{"$f":"0.25*C_vent","v":30},{"$f":"0.25*C_vent","v":30}]
[" 0,75 hz",{"$f":"0.25*C_vent","v":30},{"$f":"0.25*C_vent","v":30}]
[]
[]
["B3.3.15 leakage coefficient of the ventilation zone"]
["To update values first complete corresponding data  in Method input"]
["Clea",{"$f":"q_V_DeltaPlea_ref*A_lea/Deltap_lea_ref^n_lea","v":19.426337695692062},"(B.5)"]
[]
["B.3.3.16 Enveloppe leakage distribution"]
[]
["Air flow path height","Windward facade","Leeward façade","Roof"]
["0,25 hz",{"$f":"0.25*$B$107*A_fde/(A_fde+A_roof)","v":2.6490460494125543},{"$f":"0.25*$B$107*A_fde/(A_fde+A_roof)","v":2.6490460494125543},"-"]
["0,75 hz",{"$f":"0.25*$B$107*A_fde/(A_fde+A_roof)","v":2.6490460494125543},{"$f":"0.25*$B$107*A_fde/(A_fde+A_roof)","v":2.6490460494125543},"-"]
[" hz","-","-",{"$f":"$B$107*A_roof/(A_fde+A_roof)","v":8.830153498041847}]

{"sheet":"Process_design_data","index":4,"n_rows":115,"n_cols":6,"rows_kept":115,"cut":false,"hidden":false,"merged":[[0,0,0,2],[49,1,49,5]]}
["Example of process design data.\nIn a simple structure, this can be connected directly to the \"method_input\" sheet where this data is required.\nIn this example spreadsheet the \"Method input\" is linked to the detailed input."]
[]
[]
[]
[]
[" Process design data (qualitative)"]
[]
["Operation of the Ventilation system"]
[1,"VENT_SYS_OP",{"$f":"INDEX(C11:C14,A9)","v":"BALANCED_OP"}]
[]
["Operation as balanced mechanical system with supply and extract flow",null,"BALANCED_OP"]
["Operation as extract air system only",null,"EXTRACT_OP"]
["Operation as supply air system only",null,"SUPPLY_OP"]
["Operation as natural ventilation, no mechanical system",null,"NATURAL_OP"]
[]
["Control"]
[]
[]
["Control of supply temperature"]
[4,"SUP_AIR_TEMP_CTRL",{"$f":"INDEX(C22:C27,A20)","v":"LOAD_COMP"}]
[]
["No supply air temperature control",null,"NO_CTRL"]
["Constant supply air temperature",null,"CONST"]
["Variable set point with outdoor temperature compensation",null,"ODA_COMP"]
["Variable set point with load dependent compensation",null,"LOAD_COMP"]
[]
[]
[]
["Control of supply flowrate"]
[2,"SUP_AIR_FLW_CTRL",{"$f":"INDEX(C32:C35,A30)","v":"LOAD"}]
[]
["Flow rate controlled according to outdoor air requirements only",null,"ODA"]
["Flow rate controlled according to heating/cooling load with a minimum flow rate set by outdoor air requirements",null,"LOAD"]
[]
[]
[]
["Calculation of airflow through windows opening"]
[4,"WIN_FLOW_CALC",{"$f":"INDEX(C40:C44,A38)","v":"ITERATIVE"}]
[]
["Simplified calculation using required air flow rates as inputs",null,"SIMPLE"]
["Calculation using wind velocity and temperature\ndifference as inputs: single sided ventilation",null,"DIRECT_SINGLE"]
["Calculation using wind velocity and temperature difference as inputs: cross ventilation",null,"DIRECT_CROSS"]
["Calculation using internal reference pressure as input",null,"ITERATIVE"]
[]
["B.3.3.3 Pressure coefficient assiciated to an air flow path\n","Cp",1,null,{"$f":"IF(C45=1,OFFSET(A51,A48,B48),OFFSET(B62,A61,0))","v":-0.4},"Windward"]
["For ventilation zone that can be cross-ventilated",null,null,null,null,"Leeward"]
["For non-transverse ventilation zone",null,null,null,null,"Roof <10°"]
[3,4,null,null,null,"Roof 10°-30°"]
[null,null,null,null,null,"Roof>30°"]
["Height of air flow path on façade and shielding class","Dimensionless wind pressures Cp"]
[null,"Windward","Leeward","Roof <10°","Roof 10°-30°","Roof>30°"]
["Low hpath < 15 m, open",0.5,-0.7,-0.7,-0.6,-0.2]
["Low hpath < 15 m, normal",0.25,-0.5,-0.6,-0.5,-0.2]
["Low hpath < 15 m, shielded",0.05,-0.3,-0.5,-0.4,-0.2]
["Medium 15 ≤ hpath < 50 m, open",0.65,-0.7,-0.7,-0.6,-0.2]
["Medium 15 ≤ hpath < 50 m, normal",0.45,-0.5,-0.6,-0.5,-0.2]
["Medium 15 ≤ hpath < 50 m, shielded",0.25,-0.3,-0.5,-0.4,-0.2]
["High hpath ≥ 50 m, open",0.8,-0.7,-0.7,-0.6,-0.2]
[]
["For ventilation zone that cannot be cross-ventilated"]
[1]
[null,"Cp"]
["Windward",0.05]
["Leeward",-0.05]
["Roof",0]
[]
[]
["B.3.3.6 Correction coefficient for accounting for height of cowl above roof level\n","DCcowl;height",null,{"$f":"OFFSET(B74,A71,0)","v":-0.1}]
["Examples of values"]
[]
[2]
[]
[]
["Between the top of the roof and the roof outlet in m","DCcowl;height"]
["< 0,5 m",0]
["0,5 –1,0 m",-0.1]
["> 1 m",-0.2]
[]
[]
["B.3.3.9 Cross-ventilation factor\n","fcros",null,{"$f":"OFFSET(B86,A83,0)","v":1}]
["Examples of values"]
[]
[1]
[]
[]
["Building type","Cross-ventilation factor, fcros\n"]
["Single family houses of different types",1]
["Apartment bloc (1) at list half of the floor area of the  ventilation zone can be cross-ventilated\n",1]
["Apartment bloc (2) other case\n",0]
["Office buildings",0]
["Educational buildings",1]
["Hospitals",0]
["Hotels and restaurants",0]
["Sport facilities",1]
["Wholesale and retail trade services buildings",1]
["Other types of energy consuming buildings",0]
[]
[]
["B.3.3.11 Stack effect in passive and hybrid duct"]
[2,"USE_HEIGHT",{"$f":"INDEX(C102:C103,A100)","v":"NO_VERT_TRANS"}]
[]
["Air transfer between levels and zone is higher than 3m",null,"VERT_TRANS"]
["No air transfer between levels of the ventilation zone or zone is smaller or equal to 3m",null,"NO_VERT_TRANS"]
[]
[]
["B.3.4.2 Wind speed correction factors\n","Crgh:10;site",null,{"$f":"OFFSET(B112,A109,0)","v":1}]
[]
[]
[1]
[]
[]
["Terrain class, TER_CLASS","Crgh;10;site "]
["Open terrain",1]
["Country",0.9]
["Urban/City",0.8]

{"sheet":"Input_series","index":5,"n_rows":62,"n_cols":22,"rows_kept":62,"cut":false,"hidden":false,"merged":[[0,0,0,6],[2,4,5,7]]}
["Load here the value of input variables for each time-step (time series)\nSet the number of input data for each time steps and the number of time step before running The macro from sheet \"Output series\".\n\nLocal constant data may be input via the sheets \"Constants\" "]
[]
["Time series for data input",null,null,null,"With this spreadsheet it is not possible to have varying:\n- the wind direction\n- the vent and ATD airflow coefficients\n"]
["Settings"]
["Number of input data",null,21]
["Number of time steps",null,49]
[]
["Description","Pressure factor of the cowl","Equivalent area of the air terminal device","Ventilation system effectiveness","Control factor","Supply outdoor air fraction","Operation requirement signal (combustion appliance)","Operation requirement signal (ventilation)","Combustion appliance heating fuel input power","Ventilation zone cooling need to be covered by the mechanical ventilation system","Ventilation zone heating need to be covered by the mechanical ventilation system","Thermal zone set point temperature","Extract volume flow from a ventilation zone","Duct leakage volume flow extracted from a ventilation zone","Duct leakage volume flow going to a ventilation zone","Supply volume flow rate going to ventilation zone","External temperature","Ventilation zone temperature","Meteorological wind speed","Supply air temperature","Corrected outdoor temperature","Pressure drop through the ductwork"]
["Symbol","Ccowl","AATD","eV","fctrl ","fODA","fop;comb","fop;V","Ph;fi","QC;V;req","QH;V;req","Jzt","qV;ETA;dis","qV;lea;ETA;dis","qV;lea;SUP;dis","qV;SUP;dis","Te","Tz","u10","JSUP;dis;out","Je;comb","Dppdu"]
["Unit","-",null,"-","-","-","-","-","kW","kWh","kWh","°C","m3/h","m3/h","m3/h","m3/h","K","K","m/s","°C","°C","Pa"]
[]
[]
["Time stamp","VALUES"]
[1,-1,0,0.5,0,0.36683711494698451,1,0,5,0,0.57982597655293533,19,{"$f":"-P14","v":-100},{"$f":"-O14","v":-10.000000000000009},10.000000000000009,100,263.45,294.14999999999998,0,23,0,1]
[2,-1,0,0.6,0,0.38303913999083106,1,0,4.9000000000000004,0,0.57413604754796166,19,{"$f":"-P15","v":-110},{"$f":"-O15","v":-10.000000000000009},10.000000000000009,110,263.84999999999997,294.14999999999998,0,23,0,2]
[3,-1,0,0.7,1,0.38738441755833286,1,0,4.8,0,0.57271356529671846,19,-120,-10.000000000000009,10.000000000000009,120,263.95,294.14999999999998,0,23,0,3]
[4,-1,0,0.8,1,0.37471217643222055,1,0,4.7,0,0.57698101205044883,19,-130,-10.000000000000009,10.000000000000009,130,263.64999999999998,294.14999999999998,0,23,0,4]
[5,1,5,0.9,0,0.38303913999083106,1,0,4.5999999999999996,0,0.57413604754796166,19,-140,-10.000000000000009,10.000000000000009,140,263.84999999999997,294.14999999999998,0,23,0,5]
[6,1,10,1,0,0.40610861301658374,1,0,4.5,0,0.56702363629174546,19,-150,-10.000000000000009,10.000000000000009,150,264.34999999999997,294.14999999999998,0,23,5,1]
[7,1,10,1.1000000000000001,1,0.46171491795786751,1,0,4.4000000000000004,0,1.1755960588808403,19,-160,-20.000000000000018,20.000000000000018,160,265.04999999999995,294.14999999999998,0,23,5,2]
[8,1,10,1.2,1,0.4903343566638465,1,0,4.3,0,2.5875343823922545,19,-170,-40.000000000000036,40.000000000000036,170,265.04999999999995,294.14999999999998,0,23,5,3]
[9,-1,10,1.3,0,0.5,1,0,4.2,0,4.1743190626459592,19,-180,-60.000000000000057,60.000000000000057,180,265.45,294.14999999999998,5,23,5,4]
[10,-1,15,1.4,0,0.5,1,1,4.0999999999999996,0,5.874498499940783,19,-190,-80.000000000000071,80.000000000000071,190,266.14999999999998,294.14999999999998,5,23,5,5]
[11,-1,15,1.5,1,0.50000000000000022,1,1,4,0,5.6989758064913394,19,-200,-80.000000000000071,80.000000000000071,200,267.14999999999998,294.14999999999998,5,23,5,1]
[12,-1,15,1.6,1,0.5,1,1,3.9,0,2.4122196679732881,19,-100,-40.000000000000036,40.000000000000036,100,267.54999999999995,294.14999999999998,5,23,-5,2]
[13,1,15,1.7,0,0.49999999999999972,1,1,3.8,0,3.8190727895382603,19,-110,-60.000000000000057,60.000000000000057,110,268.45,294.14999999999998,5,23,-5,3]
[14,1,5,1.8,0,0.50000000000000011,1,1,3.7,0,5.3654826889373846,19,-120,-80.000000000000071,80.000000000000071,120,269.04999999999995,294.14999999999998,5,23,-5,4]
[15,1,5,1.9,1,0.50000000000000011,1,1,3.6,0,5.3654826889373846,19,-130,-80.000000000000071,80.000000000000071,130,269.04999999999995,294.14999999999998,5,23,-5,5]
[16,1,5,2,1,0.5,1,1,3.5000000000000102,0,2.300018250745151,19,-140,-40.000000000000036,40.000000000000036,140,269.14999999999998,294.14999999999998,0,23,-5,1]
[17,-1,5,2.1,0,0.49999999999999961,1,1,3.4000000000000101,0,1.0376527094805512,19,-150,-20.000000000000018,20.000000000000018,150,269.54999999999995,294.14999999999998,0,23,-5,2]
[18,-1,5,2.2000000000000002,0,0.49999999999999956,1,1,3.30000000000001,0,0.49020959472460623,19,-160,-10.000000000000009,10.000000000000009,160,269.75,294.14999999999998,0,23,-5,3]
[19,-1,10,2.2999999999999998,1,0.49999999999999956,1,1,3.2000000000000099,0,0.49163207697584943,19,-170,-10.000000000000009,10.000000000000009,170,269.64999999999998,294.14999999999998,0,23,-5,4]
[20,-1,10,2.4,1,0.49999999999999956,1,1,3.1000000000000099,0,0.49305455922709268,19,-180,-10.000000000000009,10.000000000000009,180,269.54999999999995,294.14999999999998,0,23,-5,5]
[21,1,10,2.5,0,0.49999999999999956,1,1,3.0000000000000102,0,0.49447704147833593,19,-190,-10.000000000000009,10.000000000000009,190,269.45,294.14999999999998,0,23,0,1]
[22,1,10,2.6,0,0.49999999999999911,1,1,2.9000000000000101,0,0.49589952372957918,19,-200,-10.000000000000009,10.000000000000009,200,269.34999999999997,294.14999999999998,0,23,0,2]
[23,1,15,2.7,1,0.49999999999999917,1,1,2.80000000000001,0,0.5044344172370393,19,-100,-10.000000000000009,10.000000000000009,100,268.75,294.14999999999998,0,23,0,3]
[24,1,15,2.8,1,0.5,1,1,2.7000000000000099,0,0.51154682849325617,19,-110,-10.000000000000009,10.000000000000009,110,268.25,294.14999999999998,5,23,0,4]
[25,-1,15,2.9,0,1,0,1,0,2.3176808209732173E-2,0,21,-120,-10.000000000000009,10.000000000000009,120,293.95,299.14999999999998,5,20.680115333602316,0,5]
[26,-1,15,3,0,1,0,1,0,2.3176808209732173E-2,0,21,-130,-10.000000000000009,10.000000000000009,130,293.95,299.14999999999998,5,20.680115333602316,5,1]
[27,-1,5,0.5,1,1,0,1,0,0,0,21,-140,-10.000000000000009,10.000000000000009,140,293.14999999999998,299.14999999999998,5,21.000115333602317,5,2]
[28,-1,5,0.6,1,1,0,1,0,0,0,21,-150,-10.000000000000009,10.000000000000009,150,292.75,299.14999999999998,5,21.160115333602317,5,3]
[29,1,5,0.7,0,1,0,1,0,0,0,21,-160,-10.000000000000009,10.000000000000009,160,292.54999999999995,299.14999999999998,5,21.240115333602319,5,4]
[30,1,5,0.8,0,1,0,1,0,0,0,21,-170,-10.000000000000009,10.000000000000009,170,293.64999999999998,299.14999999999998,5,20.800115333602314,5,5]
[31,1,5,0.9,1,1,0,1,0,1.0113598498585148,0,21,-180,-20.000000000000018,20.000000000000018,180,295.84999999999997,299.14999999999998,0,19.920057668463986,5,1]
[32,1,10,1,1,1,0,1,0,3.7713026627114137,0,21,-190,-40.000000000000036,40.000000000000036,190,297.54999999999995,299.14999999999998,0,19.24002883464771,-5,2]
[33,-1,10,1.1000000000000001,0,1,0,1,0,9.2346930293968459,0,21,-200,-60.000000000000057,60.000000000000057,200,299.45,299.14999999999998,0,19.000019223190858,-5,3]
[34,-1,10,1.2,0,0.5,0,1,0,17.337252215428975,0,21,-100,-80.000000000000071,80.000000000000071,100,301.45,299.14999999999998,0,19.000014417427789,-5,4]
[35,-1,10,1.3,1,0.5,0,1,0,17.429845401520968,0,21,-110,-80.000000000000071,80.000000000000071,110,303.25,299.14999999999998,0,19.000014417427789,-5,5]
[36,-1,15,1.4,1,0.50000000000000178,0,1,0,8.860768230012253,0,21,-120,-40.000000000000036,40.000000000000036,120,304.75,299.14999999999998,0,19.000028834647708,-5,1]
[37,1,15,1.5,0,0.5,0,1,0,13.523437366155447,0,21,-130,-60.000000000000057,60.000000000000057,130,305.84999999999997,299.14999999999998,0,19.000019223190858,-5,2]
[38,1,15,1.6,0,0.5,0,1,0,16.665874513015293,0,21,-140,-80.000000000000071,80.000000000000071,140,306.34999999999997,299.14999999999998,0,19.000014417427789,-5,3]
[39,1,15,1.7,1,0.5,0,1,0,15.490709248759261,0,21,-150,-80.000000000000071,80.000000000000071,150,306.95,299.14999999999998,5,19.000014417427789,-5,4]
[40,1,5,1.8,1,0.49999999999999872,0,1,0,7.6666352163278617,0,21,-160,-40.000000000000036,40.000000000000036,160,306.84999999999997,299.14999999999998,5,19.000028834647708,-5,5]
[41,-1,5,1.9,0,0.50000000000000178,0,1,0,3.9233293880677018,0,21,-170,-20.000000000000018,20.000000000000018,170,305.64999999999998,299.14999999999998,5,19.000057668463985,0,1]
[42,-1,5,2,0,0.49999999999999728,0,1,0,2.1637941308881969,0,21,-180,-10.000000000000009,10.000000000000009,180,303.84999999999997,299.14999999999998,5,19.000115333602317,0,2]
[43,-1,5,2.1,1,0.5,0,1,0,2.0212487387468037,0,21,-190,-10.000000000000009,10.000000000000009,190,302.54999999999995,299.14999999999998,5,19.000115333602317,0,3]
[44,-1,5,2.2000000000000002,1,0.49999999999997441,0,0,0,2.0031896694962432,0,21,-200,-10.000000000000009,10.000000000000009,200,300.14999999999998,299.14999999999998,5,19.000115333602317,0,4]
[45,1,10,2.2999999999999998,0,1,0,0,0,1.0835524882097318,0,21,-210,-10.000000000000009,10.000000000000009,210,298.14999999999998,299.14999999999998,5,19.000115333602317,0,5]
[46,1,10,2.4,0,1,0,0,0,0.73009392820973251,0,21,-220,-10.000000000000009,10.000000000000009,220,296.75,299.14999999999998,0,19.560115333602315,5,1]
[47,1,10,2.5,1,1,0,0,0,0.47762352820973214,0,21,-230,-10.000000000000009,10.000000000000009,230,295.75,299.14999999999998,0,19.960115333602317,5,2]
[48,1,10,2.6,1,1,0,0,0,0.27564720820973193,0,21,-240,-10.000000000000009,10.000000000000009,240,294.95,299.14999999999998,0,20.280115333602318,5,3]
[49,1,2.2000000000000002,1,1,0.85,1,1,3,0,0,21,-150,-3,3,150,273,293,1,15,5,5]

{"sheet":"Method_input","index":6,"n_rows":103,"n_cols":9,"rows_kept":103,"cut":false,"hidden":false,"merged":[[0,0,0,8]]}
["THIS IS A MANDATORY SHEET\nAll input data for the method shall be listed here.\nIn the simplest version, values for data input in column D (both green and blue background) may be inserted manually.\nVarying data (green background) can be fed from the \"input_series\" sheet.\nIn this sample data sheet, product data (blue background) is linked to a sample catalogue built in the \"Detailed_input\" sheet"]
[]
[null,null,null,null,"Values in green are default values from annexB"]
["Name","Symbol","Software name","Unit","Value","Range","Origin","Varying","Notes"]
["Varying data"]
["Pressure factor of the cowl","Ccowl","C_cowl","-",1,"-5 to 5","EN 13141-5","Yes"]
["Equivalent area of the air terminal device","AATD","A_ATD","cm²",2.2000000000000002,"0 to 105","Local","Yes"]
["Ventilation system effectiveness","eV","epsilon_V","-",1,"0 to 3","Local","Yes"]
["Control factor","fctrl ","f_ctrl","-",1,"0 to 1","Local","Yes"]
["Supply outdoor air fraction","fODA","f_ODA","-",0.85,"0 to 1","M5-6","Yes"]
["Operation requirement signal (combustion appliance)","fop;comb","f_op_comb","-",1,"0 or 1","Local","Yes"]
["Operation requirement signal (ventilation) (0= fan OFF; 1= fan ON)","fop;V","f_op_V","-",1,"0 to 1","Local","Yes"]
["Combustion appliance heating fuel input power","Ph;fi","P_h_fi","kW",3,"0 to ∞","M3-3","Yes"]
["Ventilation zone cooling need to be covered by the mechanical ventilation system","QC;V;req","Q_C_V_req","kWh",0,"0 to ∞","M2-2","Yes"]
["Ventilation zone heating need to be covered by the mechanical ventilation system","QH;V;req","Q_H_V_req","kWh",0,"0 to ∞","M2-2","Yes"]
["Thermal zone temperature","Jzt","theta_zt","°C",21,"0 to 50","M2-2","Yes"]
["Extract air volume flow from a ventilation zone","qV;ETA;dis","q_V_ETA_dis","m3/h",-150,"-∞ to 0","M5-6","Yes"]
["Duct leakage air volume flow extracted from a ventilation zone","qV;lea;ETA;dis","q_V_lea_ETA_dis","m3/h",-3,"-∞ to 0","M5-6","Yes"]
["Duct leakage air volume flow going to a ventilation zone","qV;lea;SUP;dis","q_V_lea_SUP_dis","m3/h",3,"0 to ∞","M5-6","Yes"]
["Supply air volume flow rate going to ventilation zone","qV;SUP;dis","q_V_SUP_dis","m3/h",150,"0 to ∞","M5-6","Yes"]
["External temperature","Te","T_e","K",273,"223 to 323","M1-13","Yes"]
["Ventilation zone temperature","Tz","T_z","K",293,"273 to 323","M2-2","Yes"]
["Meteorological wind speed","u10","u_10","m/s",1,"0 to 25","M1-13","Yes"]
["Supply air temperature","JSUP;dis;out","theta_SUP_dis_out","°C",15,"-273 to ∞","M5-6","Yes"]
["Corrected outdoor temperature","Je;comb","theta_e_comb","°C",5,"-∞ to 40","M3-5, M4-5","Yes"]
["Pressure drop through the ductwork","Dppdu","Deltap_pdu","Pa",5,"1 to 1000","Local","Yes"]
[]
["Airflow coefficient of air terminal device","CATD","C_ATD","m3/(h∙Pan)",{"$f":"3600/10000*C_D_ATD*A_ATD*(2/rho_a_ref)^2*(1/Deltap_ATD_ref)^(n_ATD-0.5)","v":1.3112438052560127},"0 to ∞","EN 13141-1 or EN 13141-2","Yes","May be calculated using this formula\nIn the present spreadsheet this input does not vary in the definition of input series.However one may consider that this input varies with time in a specific software"]
["Airflow coefficient of vents in the external envelope intended for ventilation","Cvent","C_vent","m3/(h Pan)",120,"0 to ∞","EN 13141-1 or EN 13141-2","Yes","In the present spreadsheet this input does not vary in the definition of input series.However one may consider that this input varies with time in a specific software"]
["Wind pressure coefficient for air flow path \"i\"","Cp;path,i","Cp_path_j","-",-0.25,"-1 to 1","Local","Yes","To be completed in Product_tech_data_sheet for each path\nIn the present spreadsheet this input does not vary in the definition of input series.However one may consider that this input varies with time in a specific software\n"]
["Ratio of window opening area to maximum window opening area for a window 'i'","Rw;arg,i","R_w_arg","-",0,"0 to 1","Local","Yes","To be completed in Product_tech_data_sheet for each window\nIn the present spreadsheet this input does not vary in the definition of input series.However one may consider that this input varies with time in a specific software\n"]
[]
["Product technical input data list"]
["Discharge coefficient for air terminal devices","CD;ATD","C_D_ATD","-",0.6,"0,6 to 1","Local","No"]
["Discharge coefficient for a vent \"i\"","CD;vent,i","C_D_vent","-",null,"0,6 to 1","Local","No","To be completed in Product_tech_data_sheet for each vent"]
["Discharge coefficient for windows","CD;w","C_D_w","-",0.67,"0,6 to 1","Local","No"]
["Coefficient  of vent \"i\" in the external envelope","Cvent;path,i","C_vent_path","m3/(h Pan)",null,"0 to ∞","EN 13141-1 or EN 13141-2","No","To be completed in Product_tech_data_sheet for each vent"]
["Combustion appliance system factor (see B.3.2.3)","fas","f_as","-",{"$f":"Product_tech_data!D46","v":1},"0 or 1","M3-8","No","To be completed in Product_tech_data_sheet "]
["Fuel flow factor (see B.1.2.3)","fff","f_ff","l/(s kW)",{"$f":"Product_tech_data!D58","v":3.35},"0 to 5","M3-8","No","To be completed in Product_tech_data_sheet "]
["Distribution system correction factor","fsys","f_sys","-",{"$f":"Product_tech_data!D86","v":1.2},"1 to 3","Local","No"]
["Flow exponent of air terminal devices","nATD","n_ATD","-",0.5,"0,5 to 1","EN 13141-1 or EN 13141-2","No"]
["Flow exponent of a vent \"i\" in the external envelope intended for ventilation","nvent,i","n_vent","-",null,"0,5 to 1","EN 13141-1 or EN 13141-2","No","To be completed in Product_tech_data_sheet for each vent"]
["Reference pressure difference for an air terminal device","DpATD;ref","Deltap_ATD_ref","Pa",10,"1 to 100","Local","No"]
["Reference pressure difference for a vent \"i\"","Dpvent;ref,i","Deltap_vent_ref","Pa",null,"1 to 100","Local","No","To be completed in Product_tech_data_sheet for each vent"]
["Pressure loss coefficient of the cowl in no wind condition","zcowl","zeta_cowl","-",1,"0 to 5","EN 13141-5","No"]
[]
["Process design input data list"]
["Area of a typical doorway","Adoor;min","A_door_min","m²",1.4,"0 to 10","Local","No"]
["Surface area of the façades of the ventilation zone","Afde","A_fde","m²",120,"0 to ∞","Local","No"]
["Reference area of the envelope airtightness index qv;∆Plea;ref (depends on national context)","Alea","A_lea","m²",220,"0 to ∞","EN 13829","No"]
["Surface area of the roof of the ventilation zone","Aroof","A_roof","m²",100,"0 to ∞","Local","No"]
["Cross-sectional area of the passive duct","As;pdu","A_s_pdu","m2",0.2,"0 to 2","Local","No"]
["Area of a vent \"i\"","Avent,i","A_vent","cm²",null,"0 to 105","Local","No","To be completed in Product_tech_data_sheet for each vent"]
["Maximum opening area of window \"i\"","Aw;max,i","A_w_max","m2",null,"0 to ∞","Local","No","To be completed in Product_tech_data_sheet for each window"]
["Equivalent window area relative to orientation of interest","Aw;ori","A_w_ori","m²",null,"0 to ∞","Local","No"]
["Pressure coefficient when the cowl is installed at roof height","Cp;cowl;roof","Cp_cowl_roof","-",0,"-1 to 1","Local","No"]
["Mid-height of the air flow path \"i\" relative to ventilation zone floor level","hpath,i","h_path_i","m",0.5,"0 to 100","Local","No","To be completed in Product_tech_data_sheet for each path"]
["Height of passive duct","hpdu","h_pdu","m",5,"0 to 100","Local","No"]
["Free area height of the window \"i\"","hw;fa,i","h_w_fa_j","m",null,"0 to 100","Local","No","To be completed in Product_tech_data_sheet for each window"]
["Mid-height of the window \"i\" relative to ventilation zone floor level","hw;path,i","h_w_path_j","m",null,"0 to 100","Local","No","To be completed in Product_tech_data_sheet for each window"]
["Mid-height of the part \"j\" of  window \"i\" relative to ventilation zone floor level","hw;path,i,j","h_w_path_i_j","m",null,"0 to 100","Local","No"]
["Height of ventilation zone","hz","h_z","m",4,"0 to 100","Local","No"]
["Air flow exponent for leaks","nlea","n_lea","-",0.66700000000000004,"0,5 to 1,0","Local","No","To be completed in Product_tech_data_sheet for each or enter the building value here"]
["Number of windows","Nw","N_w","-",{"$f":"Product_tech_data!C5","v":4},"0 to ∞","Local","No","To be completed in Product_tech_data sheet"]
["Flow exponent of window","nw","n_w","-",0.5,"0,5 to 1,0","Local","No"]
["Number of window divisions","Nw;div","N_w_div","-",1,"1 to ∞","Local","No"]
["Design zone cooling need to be covered by the mechanical ventilation system","QC;des","Q_C_des","kWh",0.1,"0 to ∞","M4-3","No"]
["Design zone heating need to be covered by the mechanical ventilation system","QH;des","Q_H_des","kWh",0.1,"0 to ∞","M3-3","No"]
["Envelope airtightness index of the ventilation zone","qV;DPlea;ref","q_V_DeltaPlea_ref","m3/h",1.2,"0 to ∞","EN 13829","No"]
["Correction of cowl pressure factor accounting for height above roof level (see Annex B.1.3.6)","DCcowl;height","DeltaC_cowl_height","-",{"$f":"Process_design_data!D68","v":-0.1},"-1 to 1","Local","No","To be completed in Process_design_data sheet"]
["Difference of wind pressure coefficients between the windward and leeward sides","DCp","DeltaC_p","-",0.75,"0 to 2","Local","No"]
["Orientation (0° = South, 90°= West, 270° = East, 180°= North) of window \"i\"","aw,i","alpha_w","-",null,"0° to 360°","Local","No","To be completed in Product_tech_data sheet"]
["Angle (0° = horizontal, 90° = vertical) of window \"i\"","bw,i","beta_w","-",null,"0° to 90°","Local","No","To be completed in Product_tech_data sheet"]
[]
["Operating condition"]
["Roughness coefficient at height of 10m depending on the local environment of the meteorological station","Crgh;met","C_rgh_met","-",1,"0 to ∞","ISO 15927-1","No"]
["Roughness coefficient at zone level depending on the local environment of the building site","Crgh;site","C_rgh_site","-",0.9,"0 to ∞","ISO 15927-1","No"]
["Roughness coefficient at height of 10m depending on the local environment of the building site","Crgh;10;site","C_rgh_10_site","-",0.9,"0 to ∞","ISO 15927-1","No"]
["Topography coefficient depending on the local environment of the meteorological station","Ctop;met","C_top_met","-",1,"0 to ∞","ISO 15927-1","No"]
["Topography coefficient depending on the local environment of the building site at building height","Ctop;site","C_top_site","-",1,"0 to ∞","ISO 15927-1","No"]
["Topography coefficient depending on the local environment of the building site at height of 10m","Ctop;10;site","C_top_10_site","-",1,"0 to ∞","ISO 15927-1","No"]
["Airing factor (see Annex B.3.3.8)","farg","f_arg","-",1.8,"0 to 3","Local","No"]
["Cross-ventilation factor","fcros","f_cros","-",{"$f":"Process_design_data!D80","v":1},"0 or 1","Local","No","To be determined in Process_design_data sheet"]
["Required design air flow rate to be supplied to or extracted from the ventilation zone assuming a ventilation effectiveness of 1 (perfect mixing).","qV;ODA;req;des","q_V_ODA_req_des","m3/h",175,"0 to ∞","M1-6","No"]
["Shielding class (see B.1.3.2)","SHIELD_CLASS","SHIELD_CLASS","-",null,"List","Local","No"]
["Terrain class (see B.1.4.1)","TER_CLASS","TER_CLASS","-",null,"List","Local","No"]
["       Calculation interval","tci ","t_ci","h",1,"10-4 to 744","M1-9","No"]
[]
["Maximum wind speed for cross-ventilation calculation","u10;site;max","u_10_site_max","m/s",3,"0 to 25","Local","No"]
["Ventilation system operation","VENT_SYS_OP","VENT_SYS_OP","-",null,"List","Local","No"]
["Temperature variation based on control system","DJctrl;syst","Deltatheta_ctrl_syst","K",null,"-5 to 40","M3-5, M4-5","No"]
[]
[]
["Constants and physical data"]
["Air volume related specific heat","(rc)a ","rhoc_a","kWh/(m3·K)",3.4000000000000002E-4]
["Coefficient taking into account stack effect in airing calculation","Cst","C_st"," (m/s)/ (m·K)",3.5000000000000001E-3]
["Coefficient taking into account wind speed in airing calculation","Cwnd","C_wnd","1/(m/s)",1E-3]
["Acceleration of gravity","g","g","m/s2",9.81]
["Standard atmospheric pressure","patm","p_atm","Pa",101325]
["Temperature at 0°C","T0;abs","T0_abs","K",273.14999999999998]
["External reference temperature","Te;ref","T_e_ref","K",293.14999999999998]
["Reference pressure for the envelope airtightness index","Dplea;ref","Deltap_lea_ref","Pa",50]
["Air density at 283 K and dry air","ra;ref","rho_a_ref","kg/m3",1.204]

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["THIS IS A MANDATORY SHEET\nOne time step calculation shall be described here.\nFor each calculation step (= 1 row) data for the formula in column D shall be taken from the \"Method_input\" sheet or previous calculation steps.\nInclude in the column \"Formula ref\" its number in the standard text. The example is based on EN 15316-4-1:2008\nCopy and paste a copy of the equation into column \"Formula\"\nUse the column note for information on the calculation"]
[]
["Description","Symbol","Unit","Value","Formula ref","Formula","Notes"]
["6.4.2.1         Air density calculation"]
["Air density at temperature T","rT","m3/h",{"$f":"T_e_ref/T_e*rho_a_ref","v":1.2928666666666666},"(1)"]
["External air density","ra;e","m3/h",{"$f":"T_e_ref/T_e*rho_a_ref","v":1.2928666666666666},"(1)"]
["Zone air density","ra;z","m3/h",{"$f":"T_e_ref/T_z*rho_a_ref","v":1.2046163822525595},"(1)"]
["6.4.2.2  Reference wind speed at site"]
["Wind speed at zone level","usite","m/s",{"$f":"C_rgh_site*C_top_site/C_rgh_met/C_top_met*u_10","v":0.9},"(2)"]
["Wind speed at site at 10m height","u10;site","m/s",{"$f":"C_rgh_10_site*C_top_10_site/C_rgh_met/C_top_met*u_10","v":0.9},"(3)"]
["6.4.2.4        Pressure difference at an air flow path"]
["External pressure at the airflow path \"i\" level","pe;path ,i","Pa",{"$f":"rho_a_e*T_e_ref/T_e*(0.5*Method_input!E30*Method_calculation!D9^2-Method_input!E57*Method_input!E98)","v":-6.9501395267857147},"(5)",null,"Factor T_e_ref / T_e was missing"]
["Internal pressure at the airflow path \"i\" level","pz;path,i","Pa",{"$f":"D93-Method_input!E103*Method_input!E57*Method_input!E98*Method_input!E101/Method_input!E22","v":-7.683463443906942},"(6)"]
["Pressure difference at air flow path \"i\" level","Dppath,i","Pa",{"$f":"D12-D13","v":0.73332391712122735},"(4)"]
["6.4.2.5 Required supply air temperature for mechanical ventilation air condition calculations"]
["Thermal zone set point temperature","J SUP;dis;out;req ","°C",{"$f":"IF(q_V_SUP_dis=0,\"\",IF(SUP_AIR_TEMP_CTRL=\"LOAD_COMP\",theta_zt+(Q_H_V_req+Q_H_V_em_ls)/(rhoc_a*q_V_SUP_dis*t_ci)-(Q_C_V_req+Q_C_V_em_ls)/(rhoc_a*q_V_SUP_dis*t_ci),0))","v":21},"(7)","If SUP_AIR_TEMP_CTRL=LOAD_COMP\n\n\nElse =0","output","else 0 instead of else \"\""]
["Heating emission losses","QH;V;em;ls","kWh",{"$f":"Q_H_V_req*(Deltatheta_ctrl_syst/(theta_zt-theta_e_comb))","v":0},"(8)"]
["Cooling emission losses","QC;V;em;ls","kWh",{"$f":"Q_C_V_req*(Deltatheta_ctrl_syst/(theta_zt-theta_e_comb))","v":0},"(8)"]
["6.4.3.2.1 Required outdoor ventilation air flow rates for energy calculations"]
["Required outdoor airflow rate","qV;ODA;req","m3/h",{"$f":"f_ctrl*f_sys/epsilon_V*q_V_ODA_req_des","v":210},"(9)",null,"output"]
["6.4.3.2.2 Required outdoor air flow rates at air terminal devices"]
["Required supply air flow rate for the ventilation zone","qV;SUP;req","m3/h",{"$f":"IF(VENT_SYS_OP=\"BALANCED_OP\",q_V_ODA_req,IF(VENT_SYS_OP=\"SUPPLY_OP\",q_V_ODA_req,0))","v":210},"(10)","If VENT_SYS_OP= BALANCED_OP  \n"]
[null,null,null,null,"(12)","If VENT_SYS_OP=EXHAUST_OP"]
[null,null,null,null,"(14)","If VENT_SYS_OP=SUPPLY_OP"]
[null,null,null,null,"(16)","If VENT_SYS_OP=NATURAL_OP"]
["Required extract air flow rate for the ventilation zone","qV;ETA;req","m3/h",{"$f":"-IF(VENT_SYS_OP=\"BALANCED_OP\",q_V_ODA_req,IF(VENT_SYS_OP=\"EXTRACT_OP\",q_V_ODA_req,0))","v":-210},"(11)","If VENT_SYS_OP= BALANCED_OP  \n"]
[null,null,null,null,"(13)","If VENT_SYS_OP=EXTRACT_OP"]
[null,null,null,null,"(15)","If VENT_SYS_OP=SUPPLY_OP"]
[null,null,null,null,"(17)","If VENT_SYS_OP=NATURAL_OP"]
["6.4.3.2.3  Mechanical air flow rates to the ventilation zone required to be distributed through air terminal devices"]
["Required air flow rate to be supplied to the ventilation zone through the air terminal device","qV;SUP;dis;req","m3/h",{"$f":"IF(SUP_AIR_FLW_CTRL=\"ODA\",f_op_V*q_V_SUP_req,f_op_V*MAX((Q_H_V_req+Q_H_V_em_ls)/(rhoc_a*(theta_SUP_dis_out-T_z+T0_abs)*t_ci),(Q_C_V_req+Q_C_V_em_ls)/(rhoc_a*(T_z-T0_abs-theta_SUP_dis_out)*t_ci),q_V_SUP_req))","v":210},"(18)","If SUP_AIR_FLW_CTRL = ODA"]
[null,null,null,null,"(20)","else"]
["Required air flow rate to be extracted from the ventilation zone through the air terminal device","qV;ETA;dis;req","m3/h",{"$f":"IF(SUP_AIR_FLW_CTRL=\"ODA\",f_op_V*q_V_ETA_req,IF(VENT_SYS_OP=\"BALANCED_OP\",-q_V_SUP_dis_req,0))","v":-210},"(19)","If SUP_AIR_FLW_CTRL = ODA"]
[null,null,null,null,"(21)(22)","else  if VENT_SYS_OP = BALANCED_OP\n\nelse"]
["Maximum design mechanical air flow rates required to be supplied to ventilation zone through the air terminal devices","qV;SUP;dis;max;des","m3/h",{"$f":"MAX(Q_H_des/(rhoc_a*(theta_SUP_dis_out-T_z+T0_abs)*t_ci),Q_C_des/(rhoc_a*(T_z-T0_abs-theta_SUP_dis_out)*t_ci),q_V_ODA_req_des)","v":175},"(23)"]
["6.4.3.2.4 Supply outdoor air flow rate"]
["Supply outdoor air provided to ventilation zone","qV;ODA;dis","m3/h",{"$f":"f_ODA*q_V_SUP_dis","v":127.5},"(24)"]
["6.4.3.3.2Pressure loss at internal air terminal devices"]
["Pressure drop at an internal air terminal device","DpATD","Pa",{"$f":"-SIGN(qvpdu)*(ABS(qvpdu)/C_ATD)^(1/n_ATD)","v":-0.27579904940191247},"(25)"]
["6.4.3.3.4  Cowl characteristics and corrections according to roof angle and position and height of the cowl"]
["pressure factor taken at the roof outlet or cowl ","Ccowl;tot ","-",{"$f":"C_cowl+Cp_cowl_roof+DeltaC_cowl_height","v":0.9},"(27)"]
["Pressure drop at the cowl","Dpcowl","Pa",{"$f":"IF(u_site=0,-0.5*SIGN(qvpdu)*zeta_cowl*rho_a_ref*(ABS(qvpdu)/3600/A_s_pdu)^2,-0.5*SIGN(qvpdu)*C_cowl_tot*rho_a_ref*u_site^2)","v":-0.43885799999999997},"(28)","If usite =0"]
[null,null,null,null,"(29)","else"]
["6.4.3.3.5 Overall calculation"]
["Airflow through passive or hybrid duct","qV;pdu","m3/h",0.68862031698095616,"(30)","Solve following equation by clicking on Solver button"]
["Solver residuals",null,"Pa",{"$f":"Delta_p_ATD+Deltap_pdu+Deltap_cowl-p_z_ref-h_pdu_st*g*(rho_a_e-rho_a_z)","v":1.6008839490488924E-5}]
["Useful height for stack effect in passive or hybrid duct","hpdu;st","m",{"$f":"IF(USE_HEIGHT=\"NO_VERT_TRANS\",h_pdu+2,h_z+2)","v":7},"(B1)(B2)","If VERT_TRANS\nElse"]
["Airflow through passive or hybrid duct entering in the ventilation zone","qV;pdu;in","m3/h",{"$f":"IF(qvpdu>=0,qvpdu,0)","v":0.68862031698095616},"(31)(33)","If\n\nElse"]
["Airflow through passive or hybrid duct leaving the ventilation zone","qV;pdu;out","m3/h",{"$f":"IF(qvpdu>=0,0,qvpdu)","v":0},"(32)(34)","If\n\nElse"]
["6.4.3.4 Combustion air flows"]
["Airflow through combustion appliance","qV;comb","m3/h",{"$f":"3.6*f_op_comb*f_as*f_ff*P_h_fi","v":36.18},"(35)"]
["Airflow through combustion appliance entering in the ventilation zone","qV;comb;in","m3/h",0,"(37)"]
["Airflow through combustion appliance leaving the ventilation zone","qV;comb;out","m3/h",{"$f":"IF(f_op_comb>0,-q_V_comb,0)","v":-36.18},"(38)","If fop;comb = 1 \n\nElse the flue shall be considered as vertical passive duct"]
["6.4.3.5.2 Window opening free area"]
["Total window opening area","Aw;tot","m²",{"$f":"SUM(Product_tech_data!C9:JQ9)","v":5},"(41)"]
["6.4.3.(.3 Simplified calculation"]
["Airflow through windows entering in the ventilation zone","qV;arg;in","m3/h",{"$f":"rho_a_ref/rho_a_e*f_arg*q_V_ODA_req","v":352.01773835920176},"(42)"]
["Airflow through windows leaving the ventilation zone","qV;arg;out","m3/h",{"$f":"-rho_a_ref/rho_a_z*f_arg*q_V_ODA_req","v":-377.80658366024221},"(43)"]
["6.4.3.5.4.1 General (calculation using wind velocity and temperature difference as inputs)"]
["Useful height for stack effect for airing","hw;st","m",{"$f":"MAX(Product_tech_data!12:12)-MIN(Product_tech_data!13:13)","v":4},"(44)"]
["6.4.3.5.4.2 Single-sided ventilation"]
["Airflow through windows entering in the ventilation zone","qV;arg;in","m3/h",{"$f":"3600*rho_a_ref/rho_a_e*awtot/2*MAX(C_wnd*u_10_site^2,C_st*h_w_st*ABS(T_z-T_e))^(0.5)","v":4435.0066322945249},"(45)"]
["Airflow through windows leaving the ventilation zone","qV;arg;out","m3/h",{"$f":"-3600*rho_a_ref/rho_a_z*awtot/2*MAX(C_wnd*u_10_site^2,C_st*h_w_st*ABS(T_z-T_e))^(0.5)","v":-4759.9155430853334},"(46)"]
["6.4.3.5.4.3 Cross-ventilation"]
["Equivalent windows area for cross ventilation","Aw;cros","m²",1.0745859193741767,"(49)(50)(51)(52)","See algorithm in standard"]
["Airflow through windows entering in the ventilation zone","qV;arg;in","m3/h",{"$f":"3600*rho_a_ref/rho_a_e*MAX((C_D_w*A_w_cros*MIN(u_10_site,u_10_site_max)*DeltaC_p^0.5),(A_w_tot/2*(C_st*h_w_st*ABS(T_z-T_e))^0.5))","v":4435.0066322945249},"(47)"]
["Airflow through windows leaving the ventilation zone","qV;arg;out","m3/h",{"$f":"-3600*rho_a_ref/rho_a_z*MAX((C_D_w*A_w_cros*MIN(u_10_site,u_10_site_max)*DeltaC_p^0.5),(A_w_tot/2*(C_st*h_w_st*ABS(T_z-T_e))^0.5))","v":-4759.9155430853325},"(48)"]
["6.4.3.5.5 Calculation of ventilation through windows using internal pressure as input"]
["Airflow through windows entering in the ventilation zone","qV;arg;in","m3/h",{"$f":"SUMIF(Product_tech_data!C22:PDB22,\">0\")","v":7215.2518513504092},"(56)"]
["Airflow through windows leaving the ventilation zone","qV;arg;out","m3/h",{"$f":"SUMIF(Product_tech_data!C22:PDB22,\"<0\")","v":-7708.1985305249937},"(57)"]
["6.4.3.6.4 Airflow through vents (openings in the external envelope intended for ventilation (other than windows))"]
["Airflow through vents entering in the ventilation zone","qV;vent;in","m3/h",{"$f":"SUMIF(Product_tech_data!C35:BLD35,\">0\")","v":50.7878672546667},"(60)"]
["Airflow through vents leaving the ventilation zone","qV;vent;out","m3/h",{"$f":"SUMIF(Product_tech_data!C35:BLD35,\"<0\")","v":-52.137094497236873},"(61)"]
["6.4.3.6.5 Airflow through leaks"]
["Airflow through leaks entering in the ventilation zone","qV;lea;in","m3/h",{"$f":"SUMIF(Product_tech_data!C44:BLD44,\">0\")","v":4.6141252512697539},"(63)"]
["Airflow through leaks leaving the ventilation zone","qV;lea;out","m3/h",{"$f":"SUMIF(Product_tech_data!C44:BLD44,\"<0\")","v":-18.514933903544158},"(64)"]
["6.4.3.8 conversion to mass airflow rates"]
["Supply volume flow rate going to ventilation zone","qm;SUP;dis","kg/h",{"$f":"q_V_SUP_dis*rho_a_e","v":193.92999999999998},"(64)(65)","If q>0 , \n\n\n \nElse   \n"]
["Extract mass flow from a ventilation zone","qm;ETA;dis","kg/h",{"$f":"q_V_ETA_dis*rho_a_z","v":-180.69245733788392},"(64)(65)"]
["Duct leakage mass flow extracted from a ventilation zone","qm;lea;ETA;dis","kg/h",{"$f":"q_V_lea_ETA_dis*rho_a_z","v":-3.6138491467576785},"(64)(65)"]
["Duct leakage mass flow going to a ventilation zone","qm;lea;SUP;dis","kg/h",{"$f":"q_V_lea_SUP_dis*rho_a_e","v":3.8785999999999996},"(64)(65)"]
["Airflow through passive or hybrid duct entering in the ventilation zone","qm;pdu;in","kg/h",{"$f":"q_V_pdu_in*rho_a_e","v":0.8902942538141122},"(64)(65)"]
["Airflow through passive or hybrid duct leaving the ventilation zone","qm;pdu;out","kg/h",{"$f":"q_V_pdu_out*rho_a_z","v":0},"(64)(65)"]
["Airflow through combustion appliance entering in the ventilation zone","qm;comb;in","kg/h",{"$f":"q_V_comb_in*rho_a_e","v":0},"(64)(65)"]
["Airflow through combustion appliance leaving the ventilation zone","qm;comb;out","kg/h",{"$f":"q_V_com_out*rho_a_z","v":-43.583020709897603},"(63)(64)"]
["Airflow through windows entering in the ventilation zone","qm;arg;in","kg/h",{"$f":"IF(WIN_FLOW_CALC=\"SIMPLE\",Method_calculation!D57,IF(WIN_FLOW_CALC=\"DIRECT_SINGLE\",Method_calculation!D62,IF(WIN_FLOW_CALC=\"DIRECT_CROSS\",Method_calculation!D66,q_V_arg_in_iter)))*rho_a_e","v":9328.3586102158988},"(63)(64)"]
["Airflow through windows leaving the ventilation zone","qm;arg;out","kg/h",{"$f":"IF(WIN_FLOW_CALC=\"SIMPLE\",Method_calculation!D58,IF(WIN_FLOW_CALC=\"DIRECT_SINGLE\",Method_calculation!D63,IF(WIN_FLOW_CALC=\"DIRECT_CROSS\",Method_calculation!D67,q_V_arg_out_iter)))*rho_a_z","v":-9285.4222275255124},"(63)(64)"]
["Airflow through vents entering in the ventilation zone","qm;vent;in","kg/h",{"$f":"q_V_vent_in*rho_a_e","v":65.661940644650088},"(63)(64)"]
["Airflow through vents leaving the ventilation zone","qm;vent;out","kg/h",{"$f":"q_V_vent_out*rho_a_z","v":-62.805198154421312},"(63)(64)"]
["Airflow through leaks entering in the ventilation zone","qm;leak;in","kg/h",{"$f":"q_V_lea_in*rho_a_e","v":5.9654487331916224},"(63)(64)"]
["Airflow through leaks leaving the ventilation zone","qm;leak;out","kg/h",{"$f":"q_V_lea_out*rho_a_z","v":-22.303392696532622},"(64)(65)"]
["6.4.3.9 Implicit mass balance formula for determining internal reference pressure"]
["Internal reference pressure","pz;ref","Pa",-1.7748200889581378,"(67)","Iterative calculation solver is necessary click on Solver button "]
["Solver residuals",null,"kg/h",{"$f":"SUM(D78,D79,D82:D91)","v":-2.5766929248050019E-6}]
["6.4.3.&0  Total air flow rate entering and leaving the ventilation zone"]
["The total volume airflow rate entering the zone","qV;tot;in","m3/h",{"$f":"(SUMIF(D78:D91,\">0\")-D81)/rho_a_e","v":7421.3424641733263},"(68)"]
["The total volume air flow rate leaving the zone","qV;tot;out","m3/h",{"$f":"(SUMIF(D78:D91,\"<0\")-D80)/rho_a_z","v":-7965.030558925775},"(69)"]

{"sheet":"Method_output","index":8,"n_rows":23,"n_cols":9,"rows_kept":23,"cut":false,"hidden":false,"merged":[[0,0,0,11],[1,2,2,5]]}
["THIS IS A MANDATORY SHEET\nOutput of one step calculation shall be indicated here.\nEach cell in the column value shall be a reference to a single cell in the \"Method_calculation\" sheet.\nThe macro will take the calculation step results and fill the values table in the \"Output_series\" sheet."]
[null,null,"Convergence not reached click on Sover Button in \"Method calculation sheet to reach convergence"]
[]
["Name","Symbol","Software name","Unit","Value","Range","Intended destination","Varying","Notes"]
[]
["Airflow entering through window opening","qV;arg;in","q_V_arg_in","m3/h",{"$f":"IF(Process_design_data!C38=Process_design_data!C40,Method_calculation!D57,IF(Process_design_data!C38=Process_design_data!C41,Method_calculation!D62,IF(Process_design_data!C38=Process_design_data!C42,Method_calculation!D66,q_V_arg_in_iter)))","v":7215.2518513504092},"0 to ∞","M2-6","Yes"]
["Airflow leaving through window opening","qV;arg;out","q_V_arg_out","m3/h",{"$f":"IF(Process_design_data!C38=Process_design_data!C40,Method_calculation!D58,IF(Process_design_data!C38=Process_design_data!C41,Method_calculation!D63,IF(Process_design_data!C38=Process_design_data!C42,Method_calculation!D67,q_V_arg_out_iter)))","v":-7708.1985305249937},"-∞ to 0","M2-6","Yes"]
["Airflow entering through combustion appliances","qV;comb;in","q_V_comb_in","m3/h",{"$f":"q_V_comb_in","v":0},"0 to ∞","M2-6","Yes"]
["Airflow leaving through combustion appliances","qV;comb;out","q_V_comb_out","m3/h",{"$f":"q_V_com_out","v":-36.18},"-∞ to 0","M2-6","Yes"]
["Extract air flow rate required at the air terminal devices of the mechanical ventilation system","qV;ETA;dis;req","q_V_ETA_dis_req","m3/h",{"$f":"q_V_ETA_dis_req","v":-210},"-∞ to 0","M5-6","Yes"]
["Airflow entering through envelope leakage","qV;lea;in","q_V_lea_in","m3/h",{"$f":"q_V_lea_in","v":4.6141252512697539},"0 to ∞","M2-6","Yes"]
["Airflow leaving through envelope leakage","qV;lea;out","q_V_lea_out","m3/h",{"$f":"q_V_lea_out","v":-18.514933903544158},"-∞ to 0","M2-6","Yes"]
["Required supply outdoor air volume flow rate","qV;ODA;req","q_V_ODA_req","m3/h",{"$f":"q_V_ODA_req","v":210},"0 to ∞","M5-6","Yes"]
["Airflow entering through passive or hybrid duct","qV;pdu;in","q_V_pdu_in","m3/h",{"$f":"q_V_pdu_in","v":0.68862031698095616},"0 to ∞","M2-6","Yes"]
["Airflow leaving through passive or hybrid duct","qV;pdu;out","q_V_pdu_out","m3/h",{"$f":"q_V_pdu_out","v":0},"-∞ to 0","M2-6","Yes"]
["Supply air flow rate required at the air terminal devices of the mechanical ventilation system","qV;SUP;dis;req","q_V_SUP_dis_req","m3/h",{"$f":"q_V_SUP_dis_req","v":210},"0 to ∞","M5-6","Yes"]
["Airflow entering through vents (openings in the external envelope)","qV;vent;in","q_V_vent_in","m3/h",{"$f":"q_V_vent_in","v":50.7878672546667},"0 to ∞","M2-6","Yes"]
["Airflow leaving through vents (openings in the external envelope)","qV;vent;out","q_V_vent_out","m3/h",{"$f":"q_V_vent_out","v":-52.137094497236873},"-∞ to 0","M2-6","Yes"]
["Maximum design required supply air volume flow rate for ventilation zone","qV;SUP;dis;max;des","q_V_SUP_dis_max_des","m3/h",{"$f":"q_V_SUP_dis_max_des","v":175},"0 to ∞","M5-6","No"]
["Design supply outdoor air volume flow rate for ventilation zone","qV;ODA;req;des","q_V_ODA_req_des","m3/h",{"$f":"q_V_ODA_req_des","v":175},"0 to ∞","M5-6","No"]
["Operation requirement signal (ventilation) (0=fan OFF;1=fan ON)","fop;V","f_op_V","-",{"$f":"f_op_V","v":1},"0 or 1","M5-6","Yes"]
["Required ventilation zone supply air temperature for the case of SUP_AIR_TEMP_CTRL = LOAD_COMP","J SUP;dis;out;req ","theta_SUP_dis_out_req","°C",{"$f":"theta_SUP_dis_out_req","v":21},"0 to ∞","M5-6","Yes","This case may be blank if the ventilation system is a natural or an extract system"]
["Thermal zone temperature","Jzt","theta_zt","°C",21,"0 to 50","M2-2","Yes"]

{"sheet":"Output_series","index":9,"n_rows":66,"n_cols":18,"rows_kept":66,"cut":false,"hidden":false,"merged":[[6,0,6,4],[0,0,0,5]]}
["Here a time series can be generated to test the method with variable input data.\nData input series must be inserted in the \"input_series\" sheet before."]
[]
["Time series for data output"]
["Settings"]
["Number of output data",null,17]
[]
["This table will be filled automatically via a macro scanning the \"input_series\" and performing for each time step the calculation defined in the \"Method_calculation\" sheet."]
["Press CLEAR OUTPUT to reset output series"]
["Press \"Run method\" to start calculation of individual time steps"]
[]
[]
[]
[null,"Airflow entering through window opening","Airflow leaving through window opening","Airflow entering through combustion appliances","Airflow leaving through combustion appliances","Extract air flow rate required at the air terminal devices of the mechanical ventilation system","Airflow entering through envelope leakage","Airflow leaving through envelope leakage","Required supply outdoor air volume flow rate","Airflow entering through passive or hybrid duct","Airflow leaving through passive or hybrid duct","Supply air flow rate required at the air terminal devices of the mechanical ventilation system","Airflow entering through vents (openings in the external envelope)","Airflow leaving through vents (openings in the external envelope)","Maximum design required supply air volume flow rate for ventilation zone","Design supply outdoor air volume flow rate for ventilation zone","Operation requirement signal","Required ventilation zone supply air temperature for the case of SUP_TEMP_CTRL = LOAD_COMP"]
["Symbol","qV;arg;in","qV;arg;out","qV;comb;in","qV;comb;out","qV;ETA;dis;req","qV;lea;in","qV;lea;out","qV;ODA;req","qV;pdu;in","qV;pdu;out","qV;SUP;dis;req","qV;vent;in","qV;vent;out","qV;SUP;dis;max;des","qV;ODA;req;des","fop;V","J SUP;dis;out;req "]
["Unit","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","m3/h","-","°C"]
["Destination","M2-6","M2-6","M2-6","M2-6","M5-6","M2-6","M2-6","M5-6","M2-6","M2-6","M5-6","M2-6","M2-6","M5-6","M5-6","M5-6","M5-6"]
["Time stamp",null,null,"VALUES"]
[1,8405.2941058512206,-9314.9429296727212,0,-60.300000000000004,0,5.7790761898454148,-25.111872588680107,0,0,0,0,60.26423132845845,-69.806140137184983,175,175,0,36.053705192733389]
[2,8352.5054554529634,-9244.2217057163107,0,-59.094000000000008,0,5.7273842588819033,-24.858435129576392,0,0,0,0,59.859696441400182,-69.267281010211875,175,175,0,34.351231217859933]
[3,8338.0366613780461,-9226.9045853451316,0,-57.887999999999998,0,5.7137989948127617,-24.796395374495077,300,0,0,0,59.753228339256744,-69.136573948599647,175,175,0,33.037097188645063]
[4,8374.8977193200935,-9280.9610545197283,0,-56.682000000000002,0,5.7511329403870226,-24.989752311005383,262.49999999999994,0,0,0,60.045663813459697,-69.55126547331723,175,175,0,32.053869050915132]
[5,8350.5186871214155,-9244.8833045966003,0,-55.475999999999999,0,5.7263444535531596,-24.860673913032731,0,0,-4.1668293762437338,0,59.851549693658278,-69.274320464886443,175,175,0,31.061681671175663]
[6,8291.4245002720963,-9153.6294490440996,0,-54.27,0,5.6653650154541024,-24.535073046032906,0,0,-14.383955045235409,0,59.37313261004573,-68.571693906463906,175,175,0,30.118110515524421]
[7,8197.3652226842169,-9028.5883866490185,0,-53.064000000000007,0,5.5741144505204527,-24.08999606918761,190.90909090909091,0,-12.844286570539316,0,58.654805044298634,-67.619410043969893,175,175,0,40.610221670603678]
[8,8194.7752372351406,-9029.45876812801,0,-51.857999999999997,0,5.5727602017945648,-24.092918240507498,175,0,-11.377907256397856,0,58.644122282858298,-67.628675065776449,175,175,0,63.767030837236234]
[9,17556.216513286221,-19440.841575920909,0,-50.652000000000001,0,18.442596494317929,-40.376868575858637,0,0,-21.008645030657814,0,143.60845000996184,-100.51853786843165,175,175,0,87.207827821012401]
[10,17514.497344093958,-19336.428302587308,0,-49.445999999999998,-8638.9683822658571,18.438884564908665,-40.037849473219623,0,0,-29.984927887507826,8638.9683822658571,143.59838934368378,-100.2656148452856,175,175,1,109.93650928700902]
[11,17452.438435373479,-19192.497214333562,0,-48.24,-8380.8467742519697,18.429009537082603,-39.567039207122392,140,0,-34.626602646750058,8380.8467742519697,143.55652320156094,-99.940431756707596,175,175,1,102.8084677425197]
[12,17429.54406047301,-19130.91526712785,0,-47.033999999999999,-3547.3818646666,18.428139416644633,-39.369119667903739,131.24999999999997,0,-33.332719753451137,3547.3818646666,143.55764795580396,-99.782554799011109,175,175,1,89.947637293331994]
[13,13648.723940130876,-24972.555467448808,0,-45.828000000000003,-5616.2835140268535,12.333402753253146,-54.400536291634609,0,9232.3214031746247,0,5616.2835140268535,105.94957894552005,-138.91062636210458,175,175,1,121.11424570957915]
[14,17322.76449645609,-18944.001494149845,0,-44.622000000000007,-7890.4157190255646,18.389353566868493,-38.735611317209397,0,0,-1.6373066393927782E-7,7890.4157190255646,143.35231091801063,-99.492743449143504,175,175,1,150.50692865042609]
[15,17322.100895687974,-18945.393706316605,0,-43.416000000000004,-7890.4157190255646,18.388251925831,-38.73901261944178,110.52631578947368,0,-3.1341848829710357E-8,7890.4157190255646,143.34584365745019,-99.502278993787272,175,175,1,140.39101106193175]
[16,7622.4280405522086,-8276.3137892251507,0,-42.210000000000122,-3382.3797805075747,5.0282244060575465,-21.455870230174128,105,0,-6.3978000202242127,3382.3797805075747,54.293701419077792,-61.896327936051684,175,175,1,67.319711150108219]
[17,7562.4401842002462,-8201.3760834508084,0,-41.004000000000126,-1525.9598668831634,4.9730354974881505,-21.197569598825165,0,0,-5.5833757087054545,1525.9598668831634,53.846369545732344,-61.328360588709593,175,175,1,39.346131558442181]
[18,7531.1691129455558,-8164.1358888832183,0,-39.798000000000123,-720.89646283030322,4.9447868214885018,-21.069424439714794,0,0,-4.6751053055671372,720.89646283030322,53.616920323047118,-61.047323988500622,175,175,1,28.011205785378792]
[19,7546.1189636131885,-8183.011096033606,0,-38.59200000000012,-722.98834849389618,4.9585559959311549,-21.134304162551732,91.304347826086953,0,-7.2857992053435749,722.98834849389618,53.728801009090702,-61.190518965562852,175,175,1,27.505745276398777]
[20,7557.1560057898314,-8203.2020884161084,0,-37.386000000000124,-725.08023415748914,4.9703032444475879,-21.203506647616834,87.5,0,-4.2945969068868042,725.08023415748914,53.824191165085644,-61.347826132461179,175,175,1,27.056447046194325]
[21,7576.0332563136553,-8220.6486240592039,0,-36.180000000000128,-727.17211982108222,4.9861047406899361,-21.263830019394014,0,0,-12.704537588498166,727.17211982108222,53.952413699390462,-61.475962467383525,175,175,1,26.654443366537706]
[22,7588.0587499359317,-8240.4258976848723,0,-34.974000000000125,-729.26400548467518,4.998363718339597,-21.331780544551208,0,0,-11.259091899367823,729.26400548467518,54.051820100321017,-61.629028679595166,175,175,1,26.292640054846753]
[23,7682.3660432802417,-8350.713578767316,0,-33.768000000000121,-741.8153194662342,5.0834043277277088,-21.713109755415374,77.777777777777771,0,-14.712642657856296,741.8153194662342,54.739733108900879,-62.459886956409264,175,175,1,33.836306389324683]
[24,17370.382604884602,-19063.19065863212,0,-32.562000000000118,-752.27474778420014,18.394608839909083,-39.120997699697796,75,0,-0.87295017390231944,752.27474778420014,143.37143308058921,-99.781933723762478,175,175,1,32.677722686985462]
[25,15844.094549860747,-16141.158274797919,0,0,-12.813639250559032,17.72716377642589,-29.664302948435029,0,0,-22.232192428723287,12.813639250559032,139.61869453046165,-93.575272672403997,175,175,1,20.431940975251663]
[26,15845.972433030194,-16137.005449866541,0,0,-12.813639250559032,17.730058559986894,-29.654410927860898,0,0,-28.52879695310785,12.813639250559032,139.63578809347655,-93.549736428232308,175,175,1,20.475637823309228]
[27,15894.907976527189,-16250.859588751911,0,0,-420,17.744712216375152,-30.013624302506386,420,0,-9.1085837710808129,420,139.7202177880412,-93.805922781833971,175,175,1,21]
[28,15922.079565950968,-16301.705337235582,0,0,-350,17.756159238424239,-30.17884608434867,350,0,-8.6477539019823606,350,139.78663240548391,-93.896882316597356,175,175,1,21]
[29,15933.015229543656,-16332.931613130713,0,0,0,17.757765705244331,-30.275328090613172,0,0,-1.3614159691453924E-7,0,139.79550465880271,-93.978383386344149,175,175,1,21]
[30,37716.046993972013,0,0,0,0,55.285349759409343,0,0,0,-38779.159879783052,0,291.73059094353613,0,175,175,1,21]
[31,2762.0304958585725,-2791.6352891114789,0,0,-489.24605390953189,1.2632444316697904,-5.0413584863326673,233.33333333333331,1.7503292847107847,0,489.24605390953189,19.276530340145655,-20.709311691353808,175,175,1,4.4745122572138101]
[32,1921.0674517286286,-1936.9880548914446,0,0,-1640.8452615722831,0.77763086031472395,-3.0961504232243673,210,7.735476769602216,0,1640.8452615722831,13.399000873896096,-14.364934538051358,175,175,1,-37.379298184387203]
[33,831.17657822308229,-841.60428299631053,0,0,-3880.1337771027629,1.0019935207802644,-0.25680466056248674,0,10.42493124520845,0,3880.1337771027629,6.1477352270119061,-5.8394887309430636,175,175,1,-114.80430925583596]
[34,2302.5419411945977,-2300.482869588725,0,0,-7284.5747579291419,3.8998633040539801,-0.98651674071802808,0,12.569376910796793,0,7284.5747579291419,17.060083198550615,-16.015183341343146,175,175,1,-488.91918280673451]
[35,3070.9071244781862,-3047.4738668614727,0,0,-7323.4795380973455,5.7255083429411124,-1.4388482652370966,161.53846153846152,14.34546627023018,0,7323.4795380973455,22.772524331339085,-21.252174962286961,175,175,1,-445.03864709949107]
[36,3586.1399865735821,-3537.2632889253259,0,0,-3723.0271973750637,7.0407068555825347,-1.7590288028944963,150,12.893287867244984,0,3723.0271973750637,26.613296948142999,-24.706665887594337,175,175,1,-196.17569191206502]
[37,3918.894419954901,-3853.3497458412849,0,0,-5682.1321445029753,7.9249142596438347,-1.9739549235452767,0,16.208817215328764,0,5682.1321445029753,29.093938673270216,-26.936650272042613,175,175,1,-284.96012140623179]
[38,4060.5487158129959,-3987.7017368721672,0,0,-7002.4827053207837,8.3091192789319877,-2.0671969783475408,0,18.712407121409175,0,7002.4827053207837,30.150129817035985,-27.884929290504758,175,175,1,-329.12341413897673]
[39,16076.90393410634,-11393.309287889655,0,0,-6508.7147705856423,19.002938397831898,-17.259500801255012,123.52941176470588,0,-4342.4460675592318,6508.7147705856423,147.08060301854331,-73.405418368566956,175,175,1,-282.73939703449531]
[40,13989.781910038588,-16504.748960848039,0,0,-3221.2885702239628,15.918911302778664,-29.192390014706191,116.66666666666666,2934.0506512842062,0,3221.2885702239628,128.79009468164855,-102.27206775608914,175,175,1,-119.93079441779156]
[41,14998.24685694766,-14722.97438817928,0,0,-1648.4713067657497,17.302911335430586,-25.021873206104338,0,12.91566162607074,0,1648.4713067657497,137.10295201593647,-91.443969509320468,175,175,1,-46.877671073835671]
[42,15130.808533867235,-14941.925137060134,0,0,-909.17217758109302,17.372663419791412,-25.736018417319585,0,13.148236175507881,0,909.17217758109302,137.52157301533168,-91.760606759167587,175,175,1,-14.356113249807137]
[43,15225.503527026765,-15100.759475310169,0,0,-849.27816884554682,17.421351302702796,-26.253701764095702,100,13.405048849355246,0,849.27816884554682,137.81274818338022,-91.997890109728246,175,175,1,-10.288680166359189]
[44,15398.212982478846,-15395.43851220913,0,0,0,17.507678128333666,-27.213697531656109,95.454545454545453,13.590557261635874,0,0,138.3267235841513,-92.453310140811723,175,175,0,-8.4586716102388699]
[45,13279.010606505206,-19781.588977482799,0,0,0,14.228329615614594,-38.266438378498769,0,6458.5324436517658,0,0,118.40859997661767,-117.67361878513421,175,175,0,5.8241948430009565]
[46,2354.8654236105795,-2375.9478309550595,0,0,0,1.0205377375752198,-4.0658835127740467,0,4.321245287460763,0,0,16.427438608259155,-17.62176372836641,175,175,0,11.239385986500903]
[47,2799.286629584381,-2835.9359953132862,0,0,0,1.2870740454202267,-5.1481029131033313,84,6.8623022522227242,0,0,19.548477069547811,-21.044060516314573,175,175,0,14.89228224795739]
[48,3108.2871329213772,-3158.9985800185964,0,0,0,1.481657033081861,-5.9445589741543206,80.769230769230759,8.766551594838889,0,0,21.724416840425352,-23.450498664550576,175,175,0,17.621970487625834]
[49,7215.2518513504092,-7708.1985305249937,0,-36.18,-210,4.6141252512697539,-18.514933903544158,210,0.68862031698095616,0,210,50.7878672546667,-52.137094497236873,175,175,1,21]

{"sheet":"Graphs","index":10,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Greek_to_soft","index":11,"n_rows":28,"n_cols":5,"rows_kept":28,"cut":false,"hidden":false,"merged":[[27,2,27,4]]}
[]
[null,"Greek","Software","Greek capital","Software"]
[null,"α","alpha","(A)","A"]
[null,"β ","beta","(B)","B"]
[null,"γ","gamma","Γ","Gamma"]
[null,"δ","delta","Δ","Delta"]
[null,"ε","epsilon","(Ε)","E"]
[null,"ζ","zeta","(Ζ)","Z"]
[null,"η","eta","(Η)","H"]
[null,"ϑ (var. θ)","theta","Θ","Theta"]
[null,"(ι)","iota","(Ι)","I"]
[null,"(κ)","kappa","(Κ)","K"]
[null,"λ","lambda","Λ","Lambda"]
[null,"μ","mu","(Μ)","M"]
[null,"(ν)","nu","(Ν)","N"]
[null,"ξ","xi","Ξ","XI"]
[null,"(ο)","omicron","(Ο)","O"]
[null,"π","pi","Π","Pi"]
[null,"ρ","rho","(Ρ)","P"]
[null,"σ (var. ς)","sigma","Σ","Sigma"]
[null,"(τ)","tau","(Τ)","T"]
[null,"(υ)","upsilon","Υ","Y"]
[null," φ (var. ϕ)","phi","Φ","Phi"]
[null,"(χ)","chi","(Χ)","X"]
[null,"ψ","psi","Ψ","Psi"]
[null,"ω","omega","Ω","Omega"]
[]
[null,null,"Do not use these letters: risk of confusion with latin alphabet"]

{"sheet":"Symbols","index":12,"n_rows":62,"n_cols":6,"rows_kept":62,"cut":false,"hidden":false,"merged":[[10,3,12,3],[10,4,12,4]]}
[]
[null,null,null,"Symbol","Meaning","Unit"]
[null,null,null,"A","area","m²"]
[null,null,null,"b","temperature reduction factor","-"]
[null,null,null,"C","heat capacity ","J/K a)"]
[null,null,null,"c","specific heat capacity ","J/(kg•K) a)"]
[null,null,null,"c","coefficient d)  ","various"]
[null,null,null,"d","thickness","m"]
[null,null,null,"D","diameter","m"]
[null,null,null,"E","energy in general e)","kg, m3, (kW•h), J a) b)"]
[null,null,null,"EP","energy performance indicator","J/(m2•a),"]
[null,null,null,null,null,"kg/(m2•a),"]
[null,null,null,null,null,"€/(m2•a) a) c) "]
[null,null,null,"f","factor (e.g. primary energy factor, policy factor, …)","– d)"]
[null,null,null,"H","heat transfer coefficient","W/K"]
[null,null,null,"H","calorific value","MJ/kg"]
[null,null,null,"h","surface coefficient of heat transfer ","W/(m²•K)"]
[null,null,null,"I","solar irradiance","W/m2"]
[null,null,null,"k","coefficient","d)"]
[null,null,null,"K","CO2 emission coefficient","kg/J; g/(kW•h)"]
[null,null,null,"L","length","m"]
[null,null,null,"m","mass (e.g. quantity of CO2 emissions)","kg"]
[null,null,null,"n","air exchange rate","1/h"]
[null,null,null,"N","number of items (integer only)","–"]
[null,null,null,"O","occupancy","persons"]
[null,null,null,"p","pressure","Pa"]
[null,null,null,"P","power in general including electrical power","W"]
[null,null,null,"Q","quantity of heat","J, (kW•h) a)"]
[null,null,null,"q","volumetric airflow rate","m3/s"]
[null,null,null,"q","heat flow density","W/m²"]
[null,null,null,"R","thermal resistance","m²·K/W"]
[null,null,null,"RER","renewable energy ratio","–"]
[null,null,null,"T","thermodynamic temperature","K"]
[null,null,null,"t","time, period of time","s a)"]
[null,null,null,"U","thermal transmittance ","W/(m²•K)"]
[null,null,null,"V","volume","m³"]
[null,null,null,"W","(electrical) auxiliary energy","(kW•h), J a)"]
[null,null,null,"x","mixing ratio","%kg/kg"]
[null,null,null,"X","volume fraction","%"]
[null,null,null,"X, Y","any property, system, …","–"]
[null,null,null,"Δ","delta (difference) prefix to be combined with symbols","various"]
[null,null,null,"h","efficiency factor","-"]
[null,null,null,"φ","relative humidity","%"]
[null,null,null,"ϑ","Celsius temperature  ","°C"]
[null,null,null,"ψ","linear thermal transmittance ","W/(m•K)"]
[null,null,null,"Φ","heat flow rate, thermal power","W"]
[null,null,null,"χ","point thermal transmittance","W/K"]
[null,null,null,"ρ","density","kg/m³"]
[null,null,null,"τ","time constant","s a)"]
[null,null,null,"τ","light transmittance","?"]
[null,null,null,"…","… your new symbol …","…"]
[]
[]
[]
[]
[]
[]
[null,null,null,"a)","Hours (h) may be used as the unit of time instead of seconds for all quantities involving time (i.e. for time periods as well as for air change rates), but in that case the unit of energy is (W•h) instead of J."]
[null,null,null,"b)","The unit depends on the type of energy carrier."]
[null,null,null,"c)","The unit depends on the indicator chosen"]
[null,null,null,"d)","Coefficients have dimensions; factors are dimensionless."]
[null,null,null,"e)","Including primary energy and energy carriers; note that for heat the symbol Q and for auxiliary energy and work the symbol W is used."]

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[]
[null,"COMMON SUBSCRIPTS: BUILDING"]
[]
[null,"Level 1",null,"Level 2",null,"Level 3"]
[null,"Service",null,"Building",null,"Utilised or non-utilised"]
[null,"H","heating","nd","need","ut","utilised"]
[null,"C","cooling","ht","heat transfer","nut","non-utilised"]
[null,"W","DHW","tr","transmission heat transfer","…","… your new subscript"]
[null,"V","ventilation","ve","ventilation heat transfer"]
[null,"HU","Humidification","gn","gains"]
[null,"DHU","Dehumidification","sol","solar"]
[null,"L","lighting","int","internal"]
[null,"BAC","Building automation and control","sens","sensible"]
[null,"E","Photovoltaic, wind","lat","latent"]
[null,"XY","combination  of H, C, W","…","… your new subscript"]
[null,"EPus","EPB services"]
[null,"nEPus","non EPB services"]
[null,"TOT","total"]
[null,"A","appliances"]
[null,"T","transport"]
[null,"…","… your new subscript"]
[]
[]
[]
[]
[]
[]
[null,"Please insert any new subscript in the yellow field"]

{"sheet":"Subs_system","index":14,"n_rows":26,"n_cols":11,"rows_kept":26,"cut":false,"hidden":false,"merged":[[3,1,3,2],[3,3,3,4],[3,5,3,6],[3,7,3,8],[3,9,3,10],[4,1,4,2],[4,3,4,4],[4,5,4,6],[4,7,4,8],[4,9,4,10]]}
[]
[null,"COMMON SUBSCRIPTS: ENERGY EXCHANGE BETWEEN SUBSYSTEMS"]
[]
[null,"Level 1",null,"Level 2",null,"Level 3",null,"Level 4",null,"Level 5"]
[null,"Service",null,"Technical building system",null,"Balance item",null,"Balance item specification",null,"Destination of recovery (service)"]
[null,"H","heating","us","use","ls","losses","rbl","recoverable","H","heating"]
[null,"C","cooling","sys","system","aux","auxiliary","rvd","recovered","C","cooling"]
[null,"W","DHW","em","emission","in","input","nrbl","non-recoverable","W","DHW"]
[null,"V","ventilation","dis","distribution","out","output","nrvd","non-recovered","V","ventilation"]
[null,"HU","Humidification","sto","storage","…","… your new subscript","…","… your new subscript","HU","Humidification"]
[null,"DHU","Dehumidification","nod","node",null,null,null,null,"DHU","Dehumidification"]
[null,"L","lighting","gen","generation",null,null,null,null,"L","lighting"]
[null,"BAC","BAC","hum","humidification a",null,null,null,null,"BAC","BAC"]
[null,"E","Photovoltaic, wind","dhum","dehumidification a",null,null,null,null,"E","Photovoltaic, wind"]
[null,"XY","combination  of H, C, W","hp","heat pump",null,null,null,null,"XY","combination  of H, C, W"]
[null,"EPus","EPBD services","blr","boiler",null,null,null,null,"EPus","EPBD services"]
[null,"nEPus","non EPBD services","cgn","cogeneration",null,null,null,null,"nEPus","non EPBD services"]
[null,"TOT","total","ts","thermal solar",null,null,null,null,"TOT","total"]
[null,"A","appliances","pv","Photovoltaic",null,null,null,null,"A","appliances"]
[null,"T","transport","lrh","local and radiant heaters",null,null,null,null,"T","transport"]
[null,"…","… your new subscript","…","… your new subscript",null,null,null,null,"…","… your new subscript"]
[]
[]
[]
[]
[null,"Please insert any new subscript in the yellow field"]

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[]
[null,"COMMON SUBSCRIPTS: ENERGY FLOWS AT ASSESSMENT BOUNDARY"]
[]
[null,"Level 1",null,"Level 2",null,"Level 3"]
[null,"Type of energy flow",null,"Energy carrier",null,"Qualifier "]
[null,null,null,null,null,"which service"]
[null,"del","delivered","gas","gas","H","heating"]
[null,"exp","exported","oil","oil","C","cooling"]
[null,"pr","produced","el","electricity","W","DHW"]
[null,"EPus","used for EPBD services","wd","wood","V","ventilation"]
[null,"nEPus","used for services other than EPBD","dh","district heating","HU","Humidification"]
[null,"…","… your new subscript","dc","district cooling","DHU","Dehumidification"]
[null,null,null,"sf","solid fuel","L","lighting"]
[null,null,null,"lf","liquid fuel","BAC","BAC"]
[null,null,null,"bm","biomass","E","Photovoltaic, wind"]
[null,null,null,"sol","solar heat","XY","combination  of H, C, W"]
[null,null,null,"pv","solar electricity","EPus","EPBD services"]
[null,null,null,"ah","Heat from surroundings","nEPus","non EPBD services"]
[null,null,null,"wnd","wind","TOT","total"]
[null,null,null,"cr","carrier (generic)","A","appliances"]
[null,null,null,"…","… your new subscript","T","transport"]
[null,null,null,null,null,"…","… your new subscript"]
[]
[null,null,null,null,null,"Qualifier "]
[null,null,null,null,null,"Origin"]
[null,null,null,null,null,"onst","on site"]
[null,null,null,null,null,"ofst","off site"]
[null,null,null,null,null,"nrby","neardy"]
[null,null,null,null,null,"dist","distant"]
[null,null,null,null,null,"…","… your new subscript"]
[]
[null,null,null,null,null,"Qualifier "]
[null,null,null,null,null,"which balance item"]
[null,null,null,null,null,"used","used in the same time step"]
[null,null,null,null,null,"nused","NOT used in the same time step"]
[null,null,null,null,null,"rdel","redelivered"]
[null,null,null,null,null,"tmp","temporary (exported)"]
[null,null,null,null,null,"grid","to/from grid"]
[null,null,null,null,null,"…","… your new subscript"]
[]
[]
[null,"Level 1",null,"Level 2",null,"Level 3",null,"Level 4"]
[null,"Primary energy",null,"Type of primary energy",null,"Qualifier",null,"Energy carrier"]
[null,null,null,null,null,"Type of energy flow"]
[null,"P","Primary","tot","total primary energy","del","delivered","See level 2…3 of table above"]
[null,"…","… your new subscript","ren","renewable primary fraction","exp","exported"]
[null,null,null,"nren","non renewable primary fraction","pr","produced"]
[null,null,null,"…","… your new subscript","…","… your new subscript"]
[]
[null,null,null,null,null,"Qualifier"]
[null,null,null,null,null,"Destination of energy flow"]
[null,null,null,null,null,"EPus","used for EPBD services"]
[null,null,null,null,null,"nEPus","used for services other than EPBD"]
[null,null,null,null,null,"X","Any EPB use"]
[null,null,null,null,null,"…","… your new subscript"]
[]
[null,null,null,null,null,"Qualifier"]
[null,null,null,null,null,"Origin of energy flow"]
[null,null,null,null,null,"onst","on site"]
[null,null,null,null,null,"ofst","off site"]
[null,null,null,null,null,"nrby","neardy"]
[null,null,null,null,null,"dist","distant"]
[null,null,null,null,null,"…","… your new subscript"]
[]
[]
[null,"Please insert any new subscript in the yellow field"]

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[null,"OTHER COMMON SUBSCRIPTS"]
[]
[null,"Level n + 1",null,"Level n + 2",null,"Level n + 3",null,"Level n + 4"]
[null,"Spatial coverage",null,"Time period",null,"How acquired",null,"Statistical"]
[null,"B","building","wk","weekly","calc","calculated","avg","time-average"]
[null,"zb","building zone","day","daily","meas","measured","mn","mean \n(time or space) a  "]
[null,"sp","space","h","hourly","est","estimated","max","maximum"]
[null,"bu ","building unit","m","monthly","…","… your new subscript","min","minimum"]
[null,"zt","thermal zone","seas","seasonal",null,null,"pk","peak"]
[null,"zV","ventilation zone","bin","bin",null,null,"…","… your new subscript"]
[null,"…","… your new subscript","an","annual"]
[null,null,null,"…","… your new subscript"]
[]
[]
[null,"a mean is used for time or spatial average (to be ascertained from the context)"]
[]
[null,"Please insert any new subscript in the yellow field"]

{"sheet":"History","index":17,"n_rows":9,"n_cols":4,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Date","Version scope","Changes, notes"]
[]
[null,"2012-07-04","Issued for discussion in CTL"]
[null,"2012-08-24","Issued for comments in TC 371","Improved readability"]
[null,"2013-07-03","Revised for the toolkit"]
[null,"2013-11-18","Revised to include software language and references to common symbols and subscripts"]
[null,"January 2016","1 Output variable added"]
[null,"February 2016","Disclaimer added"]