{"text_format":"1","workbook":"xlsx","n_sheets":10,"sheets":["INFO","Explanation","Product_tech_data","Process_design_data","Input_series","Method_input","Method_calculation","Method_output","Output_series","Graphs"],"not_rendered":{"charts":5,"images":18,"macros":1,"external_links":0,"defined_names":50,"comments":1,"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":51,"n_cols":3,"rows_kept":51,"cut":false,"hidden":false,"merged":[]}
[]
[null,"This spreadsheet:"]
[null,"This spreadsheet is part of a series, to support the implementation and use of the set of (CEN, ISO) EPB standards"]
[null,"(see below)"]
[]
[null,"Main related standard(s):","EN 16798-7:2017, Energy performance of buildings — Ventilation for buildings — Part 7: Calculation methods for the determination of air flow rates in buildings including infiltration (Modules M5-5)"]
[]
[null,"Spreadsheet created by:","Gerhard Zweifel (EPB Center expert)"]
[]
[]
[null,"Contact:","https://epb.center/contact/"]
[]
[null,"Date:","2021-07-13"]
[null,null,"Replaces file: Demo_FprEN_16798-7_2016-02-11.xlsm.    Date: 2016-02-11"]
[]
[null,"Detailed info:","See sheet \"Explanation\""]
[]
[null,"The series of spreadsheets to support the implementation and use of the set of EPB standards:"]
[]
[null,"EPB spreadsheets:","This spreadsheet is part of a series of spreadsheets to support the implementation and use of the set of (CEN, ISO) EPB standards"]
[null,null,"Each of these spreadsheets complies with a specific template and follows specific rules"]
[]
[null,"Main purpose:","The main purpose of these EPB spreadsheets is to support the implementation and use of the standards."]
[null,null,"They aim to demonstrate the validity of the calculation procedures and the required input and provided output data defined in the standard."]
[null,null,"They support 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 into software, to understand the correct interpretation of the formulae and calculation steps in the standard, or e.g. to explore the sensitivity for variations in input values."]
[null,null,"Some spreadsheets have been further developed to include more advanced features or to become more user friendly (see sheet \"Explanation\")"]
[]
[null,"Limitations:","In general, these spreadsheets do not cover the full range of calculation options that are possible according to the standard to which it applies. This concerns e.g. the number of instances of a variable, the number of time intervals and/or special calculation cases."]
[null,null,"These spreadsheets cover only a single or a cluster of EPB standards and are not meant to perform a full energy performance calculation."]
[null,null,"Note also that these spreadsheets are mainly intended for testing and demonstration and therefore not aiming to be user friendly or to be protected against wrong or improper use. "]
[null,null,"The spreadsheets related to the EPB standards are provided to demonstrate specific elements of the calculation procedures in the relevant standard(s). Consequently, they do not replace the EPB standards, but they shall be used along with the EPB standards."]
[]
[null,"Responsible:","In general, the preparation of the spreadsheet is a collective process in which several experts (including main developers of the standard) are involved"]
[null,null,"See \"Background\" below for information on the first versions of (most of) these spreadsheets"]
[]
[null,"Acknowledgement:","The EPB spreadsheets produced or upgraded after 2018 have been prepared under a contract with the European Union, represented by the European Commission (Service contract ENER/C3/2017-437/SI2-785.185). Start: 21 September 2018 for 3 years. \nSee  \"Background\" for information on previous (2012-2017) versions of many of these spreadsheets"]
[]
[null,"Disclaimer:","Although these spreadsheets have been developed with care, neither the authors or contributors warrant that the calculations and procedures in this spreadsheet are free of errors. The EPB Center expressly disclaims 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."]
[null,null,"The information and views set out in this document are those of the author(s) and do not necessarily reflect the official opinion of the European Union. Neither the European Union institutions and bodies nor any person acting on their behalf may be held responsible for the use which may be made of the information contained therein."]
[]
[null,"Terms of use:","The user is not allowed to redistribute a modified version of this spreadsheet."]
[null,null,"The author(s) would appreciate your feed back on the spreadsheet (see Contact above)"]
[]
[null,"More information:","www.epb.center"]
[]
[null,"Background:","First published versions of these spreadsheets were developed during 2012-2017, 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 2010, under Mandate M/480 of the European Commission to CEN."]
[null,null,"These first versions were 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. "]
[null,null,"These first public versions of the spreadsheets were mainly intended to support checking  that all formulae in the standard under development were consistent and could be linked with other relevant (EPB) standards."]
[null,null,"Many of these spreadsheets have been developed parallel to the preparation of the set of EPB standards under the M/480 mandate from the European Commission (2012 - 2017) and do not necessarily reflect the final status of the standard."]
[null,null,"More information: "]
[null,null,"https://epb.center/epb-standards/background/"]

{"sheet":"Explanation","index":1,"n_rows":72,"n_cols":5,"rows_kept":72,"cut":false,"hidden":false,"merged":[[25,2,25,4],[48,10,57,10]]}
[]
[null,"EPB standard:","EN 16798-7:2017","EN 16798-7:2017, Energy performance of buildings — Ventilation for buildings — Part 7: Calculation methods for the determination of air flow rates in buildings including infiltration (Modules M5-5)"]
[null,"Responsible in ISO and/or CEN:",null,"CEN/TC 156 WG 21"]
[]
[]
[null,"Convention:","Font colors and/or cell shading on calculation sheet(s):"]
[null,null,"orange shading","calculated with corrected formula or changes in input/output"]
[]
[]
[]
[]
[]
[]
[null,"Run:","Only necessary for Series calculations, see top of sheet \"Output_series\""]
[]
[null,"Status:","published"]
[]
[null,"Main features:","This spreadsheet comprises the  implementation of the calculation method for air flow rates for mechanical ventilation."]
[null,null,"A separate spreadsheet has been created for the natural ventilation flow rates."]
[]
[]
[]
[]
[]
[]
[null,"Time intervals and period:","This hourly calculation covers one instance of an hourly calculation (sheet \"Method_calculation\"); \nthe series calculation currently comprises one typical winter day and one typical summer day; this can be expanded"]
[]
[null,"Main limitations:"]
[]
[]
[]
[]
[]
[null,"Protection:","--"]
[]
[null,"Why a macro?","Macros are only needed for the series calculation"]
[]
[null,"More information:","CEN/TR 16798-8, Energy performance of buildings "]
[null,null,"— Part 8: Ventilation for buildings - Modules M5-1, M5-5, M5-6, M5-8"]
[null,null,"— Calculation methods for the determination of air flow rates in buildings including infiltration"]
[null,null,"— Technical report — interpretation of the requirements in EN 16798-7"]
[null,null,"Published  2017"]
[]
[null,"Links:","https://epb.center/documents/en-16798-7/"]
[null,null,"includes also links to published articles and more"]
[null,null,"https://epb.center/documents/centr-16798-8/"]
[]
[null,"Overview of the meaning of each sheet in this file"]
[null,"Sheet",null,"Description"," Tab colour coding is used to facilitate navigation:\n"]
[null,"INFO",null,"Common info for all EPB spreadsheets, including DISCLAIMER","Red tab colour (do not touch) for INFO, Explanation and History"]
[null,"Explanation",null,"Explanation on this spreadsheet"]
[null,"Product_tech_data",null,"Product related properties calculations"]
[null,"System_configuration",null,"Option choices based on drop down menus"]
[null,"Input_series",null,"Time series of input data sets"]
[null,"Method_input",null,"Tabulated overview of all input data, according to common template for all EPB spreadsheets","Green tab colour for Method_input/calculation/output"]
[null,"Method_calculation",null,"Step-by-step calculation, according to common template for all EPB spreadsheets. But see ATTENTION above"]
[null,"Method_output",null,"Tabulated overview of all output data, according to common template for all EPB spreadsheets"]
[null,"Output_series",null,"Time series of results"]
[null,"Graphs",null,"Graphical output based on Output_series"]
[]
[]
[null,"History of this spreadsheet"]
[null,"Date","Developer","Description"]
[]
[null,"2016-02-11","G. Zweifel","Adapted to final version of the standard, published"]
[null,"2019-05-22","G. Zweifel","Equations (5) and (7) corrected"]
[null,"2020-09-28","G. Zweifel","Spreadsheet separated in two parts, mechanical and natural ventilation;\nin this spreadsheet: only mechanical part kept (formulae (7) to (24)), including related input and output."]
[null,"2021-01-21","G. Zweifel","- Unit of zone temperature input variable changed from K to °C;\n- new equation added on top of \"Calculation\" sheet for unit conversion;\n- new output variables added to output table, looped through from input table, for coupling with M2-6 spreadsheet, to avoid coupling with 2 different spreadsheets (unused at the end);\n- new variables added to \"Method_input\" sheet: design heating and cooling supply temp. and identifiers SUP_AIR_TEMP_CTRL and SUP_AIR_FLW_CTRL;\n- limitations added to formula (7) in sheet \"Method_Calculation\", to avoid extreme results;\n- comments and warnings added to control options for \"illegal\" combinations in sheet \"Process_design_data\";\n- 3 variable columns added to \"Input_series\" sheet for H/C load and occupancy level for coupling with EN ISO 52016-1 spreadsheet;\n- formula added to variable f_ctrl column in \"Input_series\" sheet, to provide varying q_V requirements depending on occupancy (value from \"Product_tech_data\" sheet was unused also in original speadsheet);\n- order of input values changed for easier coupling with other spreadsheets;\n- \"Single step\" option added to macro for coupling with M2-6 module;\n   -> Sheet \"Output_Series\" curently contains several blocks of data originating from coupled runs with other modules"]
[null,"2021-02-17","G. Zweifel","Wrong variable in \"Method_output\" sheet replaced;\nOutput variables rearranged;\nnon-varying variables eliminated from \"Output_series\";\n"]
[null,"2021-05-28","G. Zweifel","Adapted to epb.center template;\nnew output variables removed from output table again, since unused at the end;"]
[null,"2021-06-06","G. Zweifel","Name manager cleaned up"]
[null,"2021-07-13","G. Zweifel","\"Main features\" text revised, published"]

{"sheet":"Product_tech_data","index":2,"n_rows":25,"n_cols":4,"rows_kept":25,"cut":false,"hidden":false,"merged":[]}
[]
[]
[]
["B.3.2.4 Mecanical ventilation","f_ctrl",null,{"$f":"OFFSET(C10,A7,0)","v":1}]
[]
[]
[3]
["Table B.4"]
[]
["Sensor type","Building type","fctrl"]
["People count or CO2 sensor","Non-residential",0.8]
["Occupancy sensor","Non-residential",0.9]
["All other sensor","Non-residential",1]
["All","Residential",1]
[]
["B.3.2.4 Mecanical ventilation","f_sys",null,{"$f":"OFFSET(C22,A19,0)","v":1}]
[]
[]
[1]
["Table B.5"]
[]
["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]

{"sheet":"Process_design_data","index":3,"n_rows":31,"n_cols":5,"rows_kept":31,"cut":false,"hidden":false,"merged":[[0,0,0,2],[19,4,21,4],[29,3,29,8]]}
["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 (Table 6)"]
[1,"VENT_SYS_OP",{"$f":"INDEX(C11:C14,A9)","v":"BALANCED_OP"},{"$f":"IF(AND(C9<>\"BALANCED_OP\",C9<>\"SUPPLY_OP\",C27=\"LOAD\"),\"Illegal combination\",\"\")","v":""}]
[]
["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 (Table 8)"]
[4,"SUP_AIR_TEMP_CTRL",{"$f":"INDEX(C20:C24,A18)","v":"LOAD_COMP"},{"$f":"IF(AND(C18=\"LOAD_COMP\",C27=\"LOAD\"),\"Illegal combination\",\"\")","v":""}]
[]
["No supply air temperature control",null,"NO_CTRL","unused","it is only distinguished between \"LOAD_COMP\" or not \"LOAD_COMP\""]
["Constant supply air temperature",null,"CONST","unused"]
["Variable set point with outdoor temperature compensation",null,"ODA_COMP","unused"]
["Variable set point with load dependent compensation",null,"LOAD_COMP","option only to be used in combination with SUP_AIR_FLW_CTRL=ODA"]
[]
[]
["Control of supply flowrate (Table 9)"]
[1,"SUP_AIR_FLW_CTRL",{"$f":"INDEX(C29:C32,A27)","v":"ODA"},{"$f":"IF(AND(C27=\"LOAD\",OR(C18=\"LOAD_COMP\",AND(C9<>\"BALANCED_OP\",C9<>\"SUPPLY_OP\"))),\"Illegal combination\",\"\")","v":""}]
[]
["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","option only to be used in combination with SUP_AIR_TEMP_CTRL ¹ LOAD_COMP\nand in combination with VENT_SYS_OP = BALANCED_OP or SUPPLY_OP"]
[null,null,null,"see text and note after equation (22) in the standard "]

{"sheet":"Input_series","index":4,"n_rows":10017,"n_cols":20,"rows_kept":10017,"cut":false,"hidden":false,"merged":[[10,17,10,18]]}
["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"]
["Settings"]
["Number of input data",null,null,null,null,13]
["Number of input data to transfer",null,null,null,null,13]
["Number of first time step",null,null,null,null,{"$f":"+Time_step_first","v":1},"<-- This value is set in the \"output_series\" sheet"]
["Number of time steps",null,null,null,null,{"$f":"+TIME_STEPS_COUNT","v":48},"<-- This value is set in the \"output_series\" sheet"]
["Last time step",null,null,12,null,{"$f":"+F7+TIME_STEPS_COUNT-1","v":48}]
["Single step mode: does only this step if value ≠ 0",null,null,null,null,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"From EN ISO 52016-1"]
["Description","Month","Day of month","Hour of day","Control factor","Operation requirement signal (ventilation)","Ventilation zone cooling need to be covered by the mechanical ventilation system","Ventilation zone heating need to be covered by the mechanical ventilation system","Thermal zone set point temperature","Ventilation zone temperature","Corrected outdoor temperature","Supply outdoor air fraction","Supply air temperature","Supply volume flow rate going to ventilation zone","Extract volume flow from a ventilation zone","Duct leakage volume flow extracted from a ventilation zone","Duct leakage volume flow going to a ventilation zone","Heating/Cooling need\n-> split into C/H, \ncolumns G and H","Occupancy level","Occupancy"]
["Symbol",null,null,null,"fctrl ","fop;V","QC;V;req","QH;V;req","Jzt","qz","Je;comb","fODA","JSUP;dis;out","qV;SUP;dis","qV;ETA;dis","qV;lea;ETA;dis","qV;lea;SUP;dis","QHC;V;req"]
["Unit",null,null,null,"-","-","kWh","kWh","°C","°C","°C","-","°C","m3/h","m3/h","m3/h","m3/h","kWh","0, 1, 2","-"]
[null,null,null,null,"Local","Local","M2-2","M2-2","M2-2","M2-2","M3-5, M4-5","M5-6","M5-6","M5-6","M5-6","M5-6","M5-6"]
[]
["Time stamp"]
[1,null,null,1,{"$f":"T18+0.5*(1-T18)","v":0.63333349999999999},0,{"$f":"MIN(0,R18)","v":0},{"$f":"MAX(0,R18)","v":0.57982597655293533},19,21,5,0.36683711494698451,23,100,{"$f":"-N18","v":-100},{"$f":"-Q18","v":-10.000000000000009},10.000000000000009,0.57982597655293533,1,{"$f":"IF(S18=2,0.65,IF(S18=1,0.266667,0))","v":0.26666699999999999}]
[2,null,null,2,{"$f":"T19+0.5*(1-T19)","v":0.63333349999999999},0,{"$f":"MIN(0,R19)","v":0},{"$f":"MAX(0,R19)","v":0.57413604754796166},19,21,5,0.38303913999083106,23,110,-110,{"$f":"-Q19","v":-10.000000000000009},10.000000000000009,0.57413604754796166,1,{"$f":"IF(S19=2,0.65,IF(S19=1,0.266667,0))","v":0.26666699999999999}]
[3,null,null,3,0.63333349999999999,0,0,0.57271356529671846,19,21,5,0.38738441755833286,23,120,-120,-10.000000000000009,10.000000000000009,0.57271356529671846,1,0.26666699999999999]
[4,null,null,4,0.63333349999999999,0,0,0.57698101205044883,19,21,5,0.37471217643222055,23,130,-130,-10.000000000000009,10.000000000000009,0.57698101205044883,1,0.26666699999999999]
[5,null,null,5,0.63333349999999999,0,0,0.57413604754796166,19,21,5,0.38303913999083106,23,140,-140,-10.000000000000009,10.000000000000009,0.57413604754796166,1,0.26666699999999999]
[6,null,null,6,0.63333349999999999,0,0,0.56702363629174546,19,21,5,0.40610861301658374,23,150,-150,-10.000000000000009,10.000000000000009,0.56702363629174546,1,0.26666699999999999]
[7,null,null,7,0.5,0,0,1.1755960588808403,19,21,5,0.46171491795786751,23,160,-160,-20.000000000000018,20.000000000000018,1.1755960588808403,0,0]
[8,null,null,8,0.63333349999999999,0,0,2.5875343823922545,19,21,5,0.4903343566638465,23,170,-170,-40.000000000000036,40.000000000000036,2.5875343823922545,1,0.26666699999999999]
[9,null,null,9,0.63333349999999999,0,0,4.1743190626459592,19,21,5,0.5,23,180,-180,-60.000000000000057,60.000000000000057,4.1743190626459592,1,0.26666699999999999]
[10,null,null,10,0.5,1,0,5.874498499940783,19,21,5,0.5,23,190,-190,-80.000000000000071,80.000000000000071,5.874498499940783,0,0]
[11,null,null,11,0.5,1,0,5.6989758064913394,19,21,5,0.50000000000000022,23,200,-200,-80.000000000000071,80.000000000000071,5.6989758064913394,0,0]
[12,null,null,12,0.5,1,0,2.4122196679732881,19,21,5,0.5,23,100,-100,-40.000000000000036,40.000000000000036,2.4122196679732881,0,0]
[13,null,null,13,0.5,1,0,3.8190727895382603,19,21,5,0.49999999999999972,23,110,-110,-60.000000000000057,60.000000000000057,3.8190727895382603,0,0]
[14,null,null,14,0.5,1,0,5.3654826889373846,19,21,-5,0.50000000000000011,23,120,-120,-80.000000000000071,80.000000000000071,5.3654826889373846,0,0]
[15,null,null,15,0.5,1,0,5.3654826889373846,19,21,-5,0.50000000000000011,23,130,-130,-80.000000000000071,80.000000000000071,5.3654826889373846,0,0]
[16,null,null,16,0.5,1,0,2.300018250745151,19,21,-5,0.5,23,140,-140,-40.000000000000036,40.000000000000036,2.300018250745151,0,0]
[17,null,null,17,0.63333349999999999,1,0,1.0376527094805512,19,21,-5,0.49999999999999961,23,150,-150,-20.000000000000018,20.000000000000018,1.0376527094805512,1,0.26666699999999999]
[18,null,null,18,0.63333349999999999,1,0,0.49020959472460623,19,21,-5,0.49999999999999956,23,160,-160,-10.000000000000009,10.000000000000009,0.49020959472460623,1,0.26666699999999999]
[19,null,null,19,0.63333349999999999,1,0,0.49163207697584943,19,21,-5,0.49999999999999956,23,170,-170,-10.000000000000009,10.000000000000009,0.49163207697584943,1,0.26666699999999999]
[20,null,null,20,0.82499999999999996,1,0,0.49305455922709268,19,21,-5,0.49999999999999956,23,180,-180,-10.000000000000009,10.000000000000009,0.49305455922709268,2,0.65]
[21,null,null,21,0.82499999999999996,1,0,0.49447704147833593,19,21,0,0.49999999999999956,23,190,-190,-10.000000000000009,10.000000000000009,0.49447704147833593,2,0.65]
[22,null,null,22,0.82499999999999996,1,0,0.49589952372957918,19,21,0,0.49999999999999911,23,200,-200,-10.000000000000009,10.000000000000009,0.49589952372957918,2,0.65]
[23,null,null,23,0.82499999999999996,1,0,0.5044344172370393,19,21,0,0.49999999999999917,23,100,-100,-10.000000000000009,10.000000000000009,0.5044344172370393,2,0.65]
[24,null,null,24,0.82499999999999996,1,0,0.51154682849325617,19,21,0,0.5,23,110,-110,-10.000000000000009,10.000000000000009,0.51154682849325617,2,0.65]
[25,null,null,1,0.63333349999999999,1,-2.3176808209732173E-2,0,21,26,0,1,20.680115333602316,120,-120,-10.000000000000009,10.000000000000009,-2.3176808209732173E-2,1,0.26666699999999999]
[26,null,null,2,0.63333349999999999,1,-2.3176808209732173E-2,0,21,26,5,1,20.680115333602316,130,-130,-10.000000000000009,10.000000000000009,-2.3176808209732173E-2,1,0.26666699999999999]
[27,null,null,3,0.63333349999999999,1,0,0,21,26,5,1,21.000115333602317,140,-140,-10.000000000000009,10.000000000000009,0,1,0.26666699999999999]
[28,null,null,4,0.63333349999999999,1,0,0,21,26,5,1,21.160115333602317,150,-150,-10.000000000000009,10.000000000000009,0,1,0.26666699999999999]
[29,null,null,5,0.63333349999999999,1,0,0,21,26,5,1,21.240115333602319,160,-160,-10.000000000000009,10.000000000000009,0,1,0.26666699999999999]
[30,null,null,6,0.63333349999999999,1,0,0,21,26,5,1,20.800115333602314,170,-170,-10.000000000000009,10.000000000000009,0,1,0.26666699999999999]
[31,null,null,7,0.5,1,-1.0113598498585148,0,21,26,5,1,19.920057668463986,180,-180,-20.000000000000018,20.000000000000018,-1.0113598498585148,0,0]
[32,null,null,8,0.63333349999999999,1,-3.7713026627114137,0,21,26,-5,1,19.24002883464771,190,-190,-40.000000000000036,40.000000000000036,-3.7713026627114137,1,0.26666699999999999]
[33,null,null,9,0.63333349999999999,1,-9.2346930293968459,0,21,26,-5,1,19.000019223190858,200,{"$f":"-N50","v":-200},-60.000000000000057,60.000000000000057,-9.2346930293968459,1,0.26666699999999999]
[34,null,null,10,0.5,1,-17.337252215428975,0,21,26,-5,0.5,19.000014417427789,100,-100,-80.000000000000071,80.000000000000071,-17.337252215428975,0,0]
[35,null,null,11,0.5,1,-17.429845401520968,0,21,26,-5,0.5,19.000014417427789,110,-110,-80.000000000000071,80.000000000000071,-17.429845401520968,0,0]
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[37,null,null,13,0.5,1,-13.523437366155447,0,21,26,-5,0.5,19.000019223190858,130,-130,-60.000000000000057,60.000000000000057,-13.523437366155447,0,0]
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{"sheet":"Method_input","index":5,"n_rows":42,"n_cols":20,"rows_kept":42,"cut":false,"hidden":false,"merged":[[0,0,0,8],[7,9,19,9]]}
["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,"Time step to be loaded",null,1]
[]
[]
["Name","Symbol","Software name","Unit","Value","Range","Origin","Varying","Notes"]
["Varying data"]
["Control factor","fctrl ","f_ctrl","-",0.82499999999999996,"0 to 1","Local","Yes","Variable \"varying\", but Annex A/B only give constant values; dependency of occuppancy used here; therefore there would be a need for an input variable \"occuppancy\"","Order rearranged for easier interaction with other spreadsheets",0.82499999999999996,1,-3.5554420728040559,0,26,28.53090412610473,25,0.78518518518518521,46.394797484056276,254.71698113207546]
["Operation requirement signal (ventilation) (0= fan OFF; 1= fan ON)","fop;V","f_op_V","-",0,"0 to 1","Local","Yes"]
["Ventilation zone cooling need to be covered by the mechanical ventilation system","QC;V;req","Q_C_V_req","kWh",-0.27564720820973193,"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"]
["Ventilation zone temperature","qz","theta_z","°C",26,"0 to 50","M2-2","Yes","new in Celsius for better communication with other standards"]
["Corrected outdoor temperature","Je;comb","theta_e_comb","°C",5,"-∞ to 40","M3-5, M4-5","Yes"]
["Supply outdoor air fraction","fODA","f_ODA","-",1,"0 to 1","M5-6","Yes"]
["Supply air temperature","JSUP;dis;out","theta_SUP_dis_out","°C",20.280115333602318,"-273 to ∞","M5-6","Yes"]
["Supply air volume flow rate going to ventilation zone","qV;SUP;dis","q_V_SUP_dis","m3/h",240,"0 to ∞","M5-6","Yes"]
["Extract air volume flow from a ventilation zone","qV;ETA;dis","q_V_ETA_dis","m3/h",-240,"-∞ to 0","M5-6","Yes","variable unused in this spreadsheet"]
["Duct leakage air volume flow extracted from a ventilation zone","qV;lea;ETA;dis","q_V_lea_ETA_dis","m3/h",-10.000000000000009,"-∞ to 0","M5-6","Yes","variable unused in this spreadsheet"]
["Duct leakage air volume flow going to a ventilation zone","qV;lea;SUP;dis","q_V_lea_SUP_dis","m3/h",10.000000000000009,"0 to ∞","M5-6","Yes","variable unused in this spreadsheet"]
[null,null,null,null,0]
["Product technical input data list"]
["Distribution system correction factor","fsys","f_sys","-",{"$f":"Product_tech_data!D16","v":1},"1 to 3","Local","No"]
[]
["Process design input data list"]
["Ventilation system effectiveness","eV","epsilon_V","-",1,"0 to 3","Local","No","Line moved to process design, value not varying, to be taken from A/B.3.3.7"]
["Design zone cooling need to be covered by the mechanical ventilation system","QC;des","Q_C_des","kWh",3.4,"0 to ∞","M4-3","No"]
["Design zone heating need to be covered by the mechanical ventilation system","QH;des","Q_H_des","kWh",0,"0 to ∞","M3-3","No"]
["Design cooling supply air temperature","JSUP;dis;out;des","theta_SUP_dis_out","°C",10,"-273 to ∞","M5-6","No","new variable; design cooling need needs to be calculated with a design supply temperature"]
["Design heating supply air temperature","JSUP;dis;out;des","theta_SUP_dis_out","°C",50,"-273 to ∞","M5-6","No","new variable; design cooling need needs to be calculated with a design supply temperature"]
[]
["Operating condition"]
["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",1000,"0 to ∞","M1-6","No"]
["       Calculation interval","tci ","t_ci","h",1,"10-4 to 744","M1-9","No"]
["Ventilation system operation","VENT_SYS_OP","VENT_SYS_OP","-",{"$f":"Process_design_data!C9","v":"BALANCED_OP"},"List","Local","No"]
["Supply air temperature control","SUP_AIR_TEMP_CTRL","SUP_AIR_TEMP_CTRL","-",{"$f":"Process_design_data!C18","v":"LOAD_COMP"},"List","Local","No","Currently not in input list of the standard"]
["Supply air flow rate control","SUP_AIR_FLW_CTRL","SUP_AIR_FLW_CTRL","-",{"$f":"Process_design_data!C27","v":"ODA"},"List","Local","No","Currently not in input list of the standard"]
["Temperature variation based on control system","DJctrl;syst","Deltatheta_ctrl_syst","K",1,"-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]
["Temperature at 0°C","T0;abs","T0_abs","K",273.14999999999998]

{"sheet":"Method_calculation","index":6,"n_rows":27,"n_cols":8,"rows_kept":27,"cut":false,"hidden":false,"merged":[[20,3,21,3],[22,0,23,0],[22,1,23,1],[22,2,23,2],[22,3,23,3],[20,0,21,0],[20,1,21,1],[20,2,21,2],[0,0,0,6],[15,0,18,0],[15,1,18,1],[15,2,18,2],[15,3,18,3],[11,0,14,0],[11,1,14,1],[11,2,14,2],[11,3,14,3]]}
["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"]
["Absolute zone air temperature","Tz","K",{"$f":"theta_z+T0_abs","v":299.14999999999998},"new","calculation from celsius to kelvin","New formula, added for better interaction with other spreadsheets"]
["6.4.2.5 Required supply air temperature for mechanical ventilation air condition calculations"]
["Required thermal zone supply air temperature","J SUP;dis;out;req ","°C",{"$f":"IF(AND(q_V_SUP_dis<>0,SUP_AIR_TEMP_CTRL=\"LOAD_COMP\"),MIN(Method_input!E30,MAX(Method_input!E29,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))),999)","v":24.589156356897551},"(7)","If SUP_AIR_TEMP_CTRL=LOAD_COMP\n\n\n","output","to avoid extreme values limited to set values"]
["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":-1.7227950513108246E-2},"(8)"]
["6.4.3.2.1 Required outdoor ventilation air flow rates for energy calculations"]
["Required outdoor airflow rate","qV;ODA;req","m3/h",{"$f":"f_ctrl*f_sys/epsilon_V*q_V_ODA_req_des","v":825},"(9)",null,"output"]
["6.4.3.2.2 Required outdoor air flow rates at air terminal devices",null,null,null,null,null,"Title is wrong: it's the required flow rate, not only outdoor air"]
["Required supply air flow rate for the ventilation zone","qV;SUP;req","m3/h",{"$f":"IF(VENT_SYS_OP=\"BALANCED_OP\",q_V_ODA_req,IF(VENT_SYS_OP=\"SUPPLY_OP\",q_V_ODA_req,0))","v":825},"(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",{"$f":"-IF(VENT_SYS_OP=\"BALANCED_OP\",q_V_ODA_req,IF(VENT_SYS_OP=\"EXTRACT_OP\",q_V_ODA_req,0))","v":-825},"(11)","If VENT_SYS_OP= BALANCED_OP  \n"]
[null,null,null,null,"(13)","If VENT_SYS_OP=EXTRACT_OP"]
[null,null,null,null,"(15)","If VENT_SYS_OP=SUPPLY_OP"]
[null,null,null,null,"(17)","If VENT_SYS_OP=NATURAL_OP"]
["6.4.3.2.3  Mechanical air flow rates to the ventilation zone required to be distributed through air terminal devices"]
["Required air flow rate to be supplied to the ventilation zone through the air terminal device","qV;SUP;dis;req","m3/h",{"$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":0},"(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",{"$f":"IF(SUP_AIR_FLW_CTRL=\"ODA\",f_op_V*q_V_ETA_req,IF(VENT_SYS_OP=\"BALANCED_OP\",-q_V_SUP_dis_req,0))","v":0},"(19)","If SUP_AIR_FLW_CTRL = ODA"]
[null,null,null,null,"(21)(22)","else  if VENT_SYS_OP = BALANCED_OP\n\nelse"]
["Maximum design mechanical air flow rates required to be supplied to ventilation zone through the air terminal devices","qV;SUP;dis;max;des","m3/h",{"$f":"MAX(Q_H_des/(rhoc_a*(Method_input!E30-T_z+T0_abs)*t_ci),Q_C_des/(rhoc_a*(T_z-T0_abs-Method_input!E29)*t_ci),q_V_ODA_req_des)","v":1000},"(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":240},"(24)",null,"should be an output, but is not requested anywhere"]

{"sheet":"Method_output","index":7,"n_rows":13,"n_cols":10,"rows_kept":13,"cut":false,"hidden":false,"merged":[[0,0,0,11],[1,2,2,5],[5,9,12,9]]}
["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"]
[]
["Operation requirement signal (ventilation) (0=fan OFF;1=fan ON)","fop;V","f_op_V","-",{"$f":"f_op_V","v":0},"0 or 1","M5-6","Yes",null,"Variables rearranged for easier exchange with coupled spreadsheets"]
["Supply air flow rate required at the air terminal devices of the mechanical ventilation system","qV;SUP;dis;req","q_V_SUP_dis_req","m3/h",{"$f":"q_V_SUP_dis_req","v":0},"0 to ∞","M5-6","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",{"$f":"q_V_ETA_dis_req","v":0},"-∞ to 0","M5-6","Yes"]
["Required supply outdoor air volume flow rate","qV;ODA;req","q_V_ODA_req","m3/h",{"$f":"q_V_ODA_req","v":825},"0 to ∞","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",{"$f":"theta_SUP_dis_out_req","v":24.589156356897551},"0 to ∞","M5-6","Yes","This case may be blank if the ventilation system is a natural or an extract system"]
["Thermal zone temperature","Jz","theta_z","°C",{"$f":"theta_z","v":26},"0 to 50","M5-6","Yes","Wrong variable linked -> corrected to theta_z, which is to be linked as the \"return temperature\""]
["Maximum design required supply air volume flow rate for ventilation zone","qV;SUP;dis;max;des","q_V_SUP_dis_max_des","m3/h",{"$f":"q_V_SUP_dis_max_des","v":1000},"0 to ∞","M5-6","No","since varying = \"no\": no link to output-series"]
["Design supply outdoor air volume flow rate for ventilation zone","qV;ODA;req;des","q_V_ODA_req_des","m3/h",{"$f":"q_V_ODA_req_des","v":1000},"0 to ∞","M5-6","No","since varying = \"no\": no link to output-series"]

{"sheet":"Output_series","index":8,"n_rows":10021,"n_cols":14,"rows_kept":10021,"cut":false,"hidden":false,"merged":[[0,0,0,5],[6,0,6,6]]}
["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,6]
[]
["This sheet will be filled automatically by a macro which will scan the \"input_series\" and perform the calculation defined in the \"Method_calculation\" sheet for each calculation interval.",null,null,null,null,null,null,null,null,null,null,null,"Calculation intervals to be processed"]
["Press \"Clear output data\" to reset output series",null,null,null,null,null,null,null,null,null,null,"First calculation interval",null,1]
["Select the calculation intervals to process (first one and number, last is calculated)",null,null,null,null,null,null,null,null,null,null,"Number of calculation intervals",null,48]
["Press \"Run calculation\" to start calculation of individual time steps",null,null,null,null,null,null,null,null,null,null,"Last calculation interval",null,{"$f":"+N9+N8-1","v":48}]
[]
[]
[null,"Month","Day of month","Hour of day","Operation requirement signal","Supply air flow rate required at the air terminal devices of the mechanical ventilation system","Extract air flow rate required at the air terminal devices of the mechanical ventilation system","Required supply outdoor air volume flow rate","Required ventilation zone supply air temperature for the case of SUP_TEMP_CTRL = LOAD_COMP","Thermal zone temperature"]
["Symbol",null,null,null,"fop;V","qV;SUP;dis;req","qV;ETA;dis;req","qV;ODA;req","J SUP;dis;out;req ","Jz"]
["Unit",null,null,null,"-","m3/h","m3/h","m3/h","°C","°C"]
["Destination",null,null,null,"M5-6","M5-6","M5-6","M5-6","M5-6","M5-6"]
["MAX",null,null,null,{"$f":"MAX(E$22:E$10021)","v":1},{"$f":"MAX(F$22:F$10021)","v":825},0,825,50,26]
["MIN",null,null,null,{"$f":"MIN(E$22:E$10021)","v":0},{"$f":"MIN(F$22:F$10021)","v":0},-825,500,21,21]
["AVG",null,null,null,{"$f":"IFERROR(AVERAGE(E$22:E$10021),\"\")","v":0.70833333333333337},{"$f":"IFERROR(AVERAGE(F$22:F$10021),\"\")","v":426.90977083333343},-426.90977083333343,628.81952083333351,39.091137287804834,23.5]
["TOT",null,null,null,{"$f":"SUM(E$22:E$10021)","v":34},{"$f":"SUM(F$22:F$10021)","v":20491.669000000005},-20491.669000000005,30183.337000000007,1876.3745898146319,1128]
["Time stamp"]
[1,{"$f":"IF(Input_series!B18=\"\",\"\",Input_series!B18)","v":""},{"$f":"IF(Input_series!C18=\"\",\"\",Input_series!C18)","v":""},{"$f":"IF(Input_series!D18=\"\",\"\",Input_series!D18)","v":1},0,0,0,633.33349999999996,37.271826992214343,21]
[2,{"$f":"IF(Input_series!B19=\"\",\"\",Input_series!B19)","v":""},{"$f":"IF(Input_series!C19=\"\",\"\",Input_series!C19)","v":""},{"$f":"IF(Input_series!D19=\"\",\"\",Input_series!D19)","v":2},0,0,0,633.33349999999996,35.447747733421359,21]
[3,{"$f":"IF(Input_series!B20=\"\",\"\",Input_series!B20)","v":""},{"$f":"IF(Input_series!C20=\"\",\"\",Input_series!C20)","v":""},{"$f":"IF(Input_series!D20=\"\",\"\",Input_series!D20)","v":3},0,0,0,633.33349999999996,34.039746987833993,21]
[4,{"$f":"IF(Input_series!B21=\"\",\"\",Input_series!B21)","v":""},{"$f":"IF(Input_series!C21=\"\",\"\",Input_series!C21)","v":""},{"$f":"IF(Input_series!D21=\"\",\"\",Input_series!D21)","v":4},0,0,0,633.33349999999996,32.98628826883764,21]
[5,{"$f":"IF(Input_series!B22=\"\",\"\",Input_series!B22)","v":""},{"$f":"IF(Input_series!C22=\"\",\"\",Input_series!C22)","v":""},{"$f":"IF(Input_series!D22=\"\",\"\",Input_series!D22)","v":5},0,0,0,633.33349999999996,31.923230361973925,21]
[6,{"$f":"IF(Input_series!B23=\"\",\"\",Input_series!B23)","v":""},{"$f":"IF(Input_series!C23=\"\",\"\",Input_series!C23)","v":""},{"$f":"IF(Input_series!D23=\"\",\"\",Input_series!D23)","v":6},0,0,0,633.33349999999996,30.912261266633308,21]
[7,{"$f":"IF(Input_series!B24=\"\",\"\",Input_series!B24)","v":""},{"$f":"IF(Input_series!C24=\"\",\"\",Input_series!C24)","v":""},{"$f":"IF(Input_series!D24=\"\",\"\",Input_series!D24)","v":7},0,0,0,500,42.153808932789659,21]
[8,{"$f":"IF(Input_series!B25=\"\",\"\",Input_series!B25)","v":""},{"$f":"IF(Input_series!C25=\"\",\"\",Input_series!C25)","v":""},{"$f":"IF(Input_series!D25=\"\",\"\",Input_series!D25)","v":8},0,0,0,633.33349999999996,50,21]
[9,{"$f":"IF(Input_series!B26=\"\",\"\",Input_series!B26)","v":""},{"$f":"IF(Input_series!C26=\"\",\"\",Input_series!C26)","v":""},{"$f":"IF(Input_series!D26=\"\",\"\",Input_series!D26)","v":9},0,0,0,633.33349999999996,50,21]
[10,{"$f":"IF(Input_series!B27=\"\",\"\",Input_series!B27)","v":""},{"$f":"IF(Input_series!C27=\"\",\"\",Input_series!C27)","v":""},{"$f":"IF(Input_series!D27=\"\",\"\",Input_series!D27)","v":10},1,500,-500,500,50,21]
[11,{"$f":"IF(Input_series!B28=\"\",\"\",Input_series!B28)","v":""},{"$f":"IF(Input_series!C28=\"\",\"\",Input_series!C28)","v":""},{"$f":"IF(Input_series!D28=\"\",\"\",Input_series!D28)","v":11},1,500,-500,500,50,21]
[12,{"$f":"IF(Input_series!B29=\"\",\"\",Input_series!B29)","v":""},{"$f":"IF(Input_series!C29=\"\",\"\",Input_series!C29)","v":""},{"$f":"IF(Input_series!D29=\"\",\"\",Input_series!D29)","v":12},1,500,-500,500,50,21]
[13,{"$f":"IF(Input_series!B30=\"\",\"\",Input_series!B30)","v":""},{"$f":"IF(Input_series!C30=\"\",\"\",Input_series!C30)","v":""},{"$f":"IF(Input_series!D30=\"\",\"\",Input_series!D30)","v":13},1,500,-500,500,50,21]
[14,{"$f":"IF(Input_series!B31=\"\",\"\",Input_series!B31)","v":""},{"$f":"IF(Input_series!C31=\"\",\"\",Input_series!C31)","v":""},{"$f":"IF(Input_series!D31=\"\",\"\",Input_series!D31)","v":14},1,500,-500,500,50,21]
[15,{"$f":"IF(Input_series!B32=\"\",\"\",Input_series!B32)","v":""},{"$f":"IF(Input_series!C32=\"\",\"\",Input_series!C32)","v":""},{"$f":"IF(Input_series!D32=\"\",\"\",Input_series!D32)","v":15},1,500,-500,500,50,21]
[16,{"$f":"IF(Input_series!B33=\"\",\"\",Input_series!B33)","v":""},{"$f":"IF(Input_series!C33=\"\",\"\",Input_series!C33)","v":""},{"$f":"IF(Input_series!D33=\"\",\"\",Input_series!D33)","v":16},1,500,-500,500,50,21]
[17,{"$f":"IF(Input_series!B34=\"\",\"\",Input_series!B34)","v":""},{"$f":"IF(Input_series!C34=\"\",\"\",Input_series!C34)","v":""},{"$f":"IF(Input_series!D34=\"\",\"\",Input_series!D34)","v":17},1,633.33349999999996,-633.33349999999996,633.33349999999996,40.19388704004394,21]
[18,{"$f":"IF(Input_series!B35=\"\",\"\",Input_series!B35)","v":""},{"$f":"IF(Input_series!C35=\"\",\"\",Input_series!C35)","v":""},{"$f":"IF(Input_series!D35=\"\",\"\",Input_series!D35)","v":18},1,633.33349999999996,-633.33349999999996,633.33349999999996,28.386672693102909,21]
[19,{"$f":"IF(Input_series!B36=\"\",\"\",Input_series!B36)","v":""},{"$f":"IF(Input_series!C36=\"\",\"\",Input_series!C36)","v":""},{"$f":"IF(Input_series!D36=\"\",\"\",Input_series!D36)","v":19},1,633.33349999999996,-633.33349999999996,633.33349999999996,27.86015132958206,21]
[20,{"$f":"IF(Input_series!B37=\"\",\"\",Input_series!B37)","v":""},{"$f":"IF(Input_series!C37=\"\",\"\",Input_series!C37)","v":""},{"$f":"IF(Input_series!D37=\"\",\"\",Input_series!D37)","v":20},1,825,-825,825,27.392132339785753,21]
[21,{"$f":"IF(Input_series!B38=\"\",\"\",Input_series!B38)","v":""},{"$f":"IF(Input_series!C38=\"\",\"\",Input_series!C38)","v":""},{"$f":"IF(Input_series!D38=\"\",\"\",Input_series!D38)","v":21},1,825,-825,825,27.0573088068818,21]
[22,{"$f":"IF(Input_series!B39=\"\",\"\",Input_series!B39)","v":""},{"$f":"IF(Input_series!C39=\"\",\"\",Input_series!C39)","v":""},{"$f":"IF(Input_series!D39=\"\",\"\",Input_series!D39)","v":22},1,825,-825,825,26.676463215628161,21]
[23,{"$f":"IF(Input_series!B40=\"\",\"\",Input_series!B40)","v":""},{"$f":"IF(Input_series!C40=\"\",\"\",Input_series!C40)","v":""},{"$f":"IF(Input_series!D40=\"\",\"\",Input_series!D40)","v":23},1,825,-825,825,34.617164620341775,21]
[24,{"$f":"IF(Input_series!B41=\"\",\"\",Input_series!B41)","v":""},{"$f":"IF(Input_series!C41=\"\",\"\",Input_series!C41)","v":""},{"$f":"IF(Input_series!D41=\"\",\"\",Input_series!D41)","v":24},1,825,-825,825,33.397602828405745,21]
[25,{"$f":"IF(Input_series!B42=\"\",\"\",Input_series!B42)","v":""},{"$f":"IF(Input_series!C42=\"\",\"\",Input_series!C42)","v":""},{"$f":"IF(Input_series!D42=\"\",\"\",Input_series!D42)","v":1},1,633.33349999999996,-633.33349999999996,633.33349999999996,21.595109454498257,26]
[26,{"$f":"IF(Input_series!B43=\"\",\"\",Input_series!B43)","v":""},{"$f":"IF(Input_series!C43=\"\",\"\",Input_series!C43)","v":""},{"$f":"IF(Input_series!D43=\"\",\"\",Input_series!D43)","v":2},1,633.33349999999996,-633.33349999999996,633.33349999999996,21.557134812733945,26]
[27,{"$f":"IF(Input_series!B44=\"\",\"\",Input_series!B44)","v":""},{"$f":"IF(Input_series!C44=\"\",\"\",Input_series!C44)","v":""},{"$f":"IF(Input_series!D44=\"\",\"\",Input_series!D44)","v":3},1,633.33349999999996,-633.33349999999996,633.33349999999996,21,26]
[28,{"$f":"IF(Input_series!B45=\"\",\"\",Input_series!B45)","v":""},{"$f":"IF(Input_series!C45=\"\",\"\",Input_series!C45)","v":""},{"$f":"IF(Input_series!D45=\"\",\"\",Input_series!D45)","v":4},1,633.33349999999996,-633.33349999999996,633.33349999999996,21,26]
[29,{"$f":"IF(Input_series!B46=\"\",\"\",Input_series!B46)","v":""},{"$f":"IF(Input_series!C46=\"\",\"\",Input_series!C46)","v":""},{"$f":"IF(Input_series!D46=\"\",\"\",Input_series!D46)","v":5},1,633.33349999999996,-633.33349999999996,633.33349999999996,21,26]
[30,{"$f":"IF(Input_series!B47=\"\",\"\",Input_series!B47)","v":""},{"$f":"IF(Input_series!C47=\"\",\"\",Input_series!C47)","v":""},{"$f":"IF(Input_series!D47=\"\",\"\",Input_series!D47)","v":6},1,633.33349999999996,-633.33349999999996,633.33349999999996,21,26]
[31,{"$f":"IF(Input_series!B48=\"\",\"\",Input_series!B48)","v":""},{"$f":"IF(Input_series!C48=\"\",\"\",Input_series!C48)","v":""},{"$f":"IF(Input_series!D48=\"\",\"\",Input_series!D48)","v":7},1,500,-500,500,38.558330726710324,26]
[32,{"$f":"IF(Input_series!B49=\"\",\"\",Input_series!B49)","v":""},{"$f":"IF(Input_series!C49=\"\",\"\",Input_series!C49)","v":""},{"$f":"IF(Input_series!D49=\"\",\"\",Input_series!D49)","v":8},1,633.33349999999996,-633.33349999999996,633.33349999999996,50,26]
[33,{"$f":"IF(Input_series!B50=\"\",\"\",Input_series!B50)","v":""},{"$f":"IF(Input_series!C50=\"\",\"\",Input_series!C50)","v":""},{"$f":"IF(Input_series!D50=\"\",\"\",Input_series!D50)","v":9},1,633.33349999999996,-633.33349999999996,633.33349999999996,50,26]
[34,{"$f":"IF(Input_series!B51=\"\",\"\",Input_series!B51)","v":""},{"$f":"IF(Input_series!C51=\"\",\"\",Input_series!C51)","v":""},{"$f":"IF(Input_series!D51=\"\",\"\",Input_series!D51)","v":10},1,500,-500,500,50,26]
[35,{"$f":"IF(Input_series!B52=\"\",\"\",Input_series!B52)","v":""},{"$f":"IF(Input_series!C52=\"\",\"\",Input_series!C52)","v":""},{"$f":"IF(Input_series!D52=\"\",\"\",Input_series!D52)","v":11},1,500,-500,500,50,26]
[36,{"$f":"IF(Input_series!B53=\"\",\"\",Input_series!B53)","v":""},{"$f":"IF(Input_series!C53=\"\",\"\",Input_series!C53)","v":""},{"$f":"IF(Input_series!D53=\"\",\"\",Input_series!D53)","v":12},1,500,-500,500,50,26]
[37,{"$f":"IF(Input_series!B54=\"\",\"\",Input_series!B54)","v":""},{"$f":"IF(Input_series!C54=\"\",\"\",Input_series!C54)","v":""},{"$f":"IF(Input_series!D54=\"\",\"\",Input_series!D54)","v":13},1,500,-500,500,50,26]
[38,{"$f":"IF(Input_series!B55=\"\",\"\",Input_series!B55)","v":""},{"$f":"IF(Input_series!C55=\"\",\"\",Input_series!C55)","v":""},{"$f":"IF(Input_series!D55=\"\",\"\",Input_series!D55)","v":14},1,500,-500,500,50,26]
[39,{"$f":"IF(Input_series!B56=\"\",\"\",Input_series!B56)","v":""},{"$f":"IF(Input_series!C56=\"\",\"\",Input_series!C56)","v":""},{"$f":"IF(Input_series!D56=\"\",\"\",Input_series!D56)","v":15},1,500,-500,500,50,26]
[40,{"$f":"IF(Input_series!B57=\"\",\"\",Input_series!B57)","v":""},{"$f":"IF(Input_series!C57=\"\",\"\",Input_series!C57)","v":""},{"$f":"IF(Input_series!D57=\"\",\"\",Input_series!D57)","v":16},1,500,-500,500,50,26]
[41,{"$f":"IF(Input_series!B58=\"\",\"\",Input_series!B58)","v":""},{"$f":"IF(Input_series!C58=\"\",\"\",Input_series!C58)","v":""},{"$f":"IF(Input_series!D58=\"\",\"\",Input_series!D58)","v":17},1,633.33349999999996,-633.33349999999996,633.33349999999996,50,26]
[42,{"$f":"IF(Input_series!B59=\"\",\"\",Input_series!B59)","v":""},{"$f":"IF(Input_series!C59=\"\",\"\",Input_series!C59)","v":""},{"$f":"IF(Input_series!D59=\"\",\"\",Input_series!D59)","v":18},1,633.33349999999996,-633.33349999999996,633.33349999999996,50,26]
[43,{"$f":"IF(Input_series!B60=\"\",\"\",Input_series!B60)","v":""},{"$f":"IF(Input_series!C60=\"\",\"\",Input_series!C60)","v":""},{"$f":"IF(Input_series!D60=\"\",\"\",Input_series!D60)","v":19},1,633.33349999999996,-633.33349999999996,633.33349999999996,50,26]
[44,{"$f":"IF(Input_series!B61=\"\",\"\",Input_series!B61)","v":""},{"$f":"IF(Input_series!C61=\"\",\"\",Input_series!C61)","v":""},{"$f":"IF(Input_series!D61=\"\",\"\",Input_series!D61)","v":20},0,0,0,825,50,26]
[45,{"$f":"IF(Input_series!B62=\"\",\"\",Input_series!B62)","v":""},{"$f":"IF(Input_series!C62=\"\",\"\",Input_series!C62)","v":""},{"$f":"IF(Input_series!D62=\"\",\"\",Input_series!D62)","v":21},0,0,0,825,36.89846254542757,26]
[46,{"$f":"IF(Input_series!B63=\"\",\"\",Input_series!B63)","v":""},{"$f":"IF(Input_series!C63=\"\",\"\",Input_series!C63)","v":""},{"$f":"IF(Input_series!D63=\"\",\"\",Input_series!D63)","v":22},0,0,0,825,31.370652389342791,26]
[47,{"$f":"IF(Input_series!B64=\"\",\"\",Input_series!B64)","v":""},{"$f":"IF(Input_series!C64=\"\",\"\",Input_series!C64)","v":""},{"$f":"IF(Input_series!D64=\"\",\"\",Input_series!D64)","v":23},0,0,0,825,27.489450111545274,26]
[48,{"$f":"IF(Input_series!B65=\"\",\"\",Input_series!B65)","v":""},{"$f":"IF(Input_series!C65=\"\",\"\",Input_series!C65)","v":""},{"$f":"IF(Input_series!D65=\"\",\"\",Input_series!D65)","v":24},0,0,0,825,24.589156356897551,26]
[49,{"$f":"IF(Input_series!B66=\"\",\"\",Input_series!B66)","v":""},{"$f":"IF(Input_series!C66=\"\",\"\",Input_series!C66)","v":""},{"$f":"IF(Input_series!D66=\"\",\"\",Input_series!D66)","v":""}]
[50,{"$f":"IF(Input_series!B67=\"\",\"\",Input_series!B67)","v":""},{"$f":"IF(Input_series!C67=\"\",\"\",Input_series!C67)","v":""},{"$f":"IF(Input_series!D67=\"\",\"\",Input_series!D67)","v":""}]
[51,{"$f":"IF(Input_series!B68=\"\",\"\",Input_series!B68)","v":""},{"$f":"IF(Input_series!C68=\"\",\"\",Input_series!C68)","v":""},{"$f":"IF(Input_series!D68=\"\",\"\",Input_series!D68)","v":""}]
[52,{"$f":"IF(Input_series!B69=\"\",\"\",Input_series!B69)","v":""},{"$f":"IF(Input_series!C69=\"\",\"\",Input_series!C69)","v":""},{"$f":"IF(Input_series!D69=\"\",\"\",Input_series!D69)","v":""}]
[53,{"$f":"IF(Input_series!B70=\"\",\"\",Input_series!B70)","v":""},{"$f":"IF(Input_series!C70=\"\",\"\",Input_series!C70)","v":""},{"$f":"IF(Input_series!D70=\"\",\"\",Input_series!D70)","v":""}]
[54,{"$f":"IF(Input_series!B71=\"\",\"\",Input_series!B71)","v":""},{"$f":"IF(Input_series!C71=\"\",\"\",Input_series!C71)","v":""},{"$f":"IF(Input_series!D71=\"\",\"\",Input_series!D71)","v":""}]
[55,{"$f":"IF(Input_series!B72=\"\",\"\",Input_series!B72)","v":""},{"$f":"IF(Input_series!C72=\"\",\"\",Input_series!C72)","v":""},{"$f":"IF(Input_series!D72=\"\",\"\",Input_series!D72)","v":""}]
[56,{"$f":"IF(Input_series!B73=\"\",\"\",Input_series!B73)","v":""},{"$f":"IF(Input_series!C73=\"\",\"\",Input_series!C73)","v":""},{"$f":"IF(Input_series!D73=\"\",\"\",Input_series!D73)","v":""}]
[57,{"$f":"IF(Input_series!B74=\"\",\"\",Input_series!B74)","v":""},{"$f":"IF(Input_series!C74=\"\",\"\",Input_series!C74)","v":""},{"$f":"IF(Input_series!D74=\"\",\"\",Input_series!D74)","v":""}]
[58,{"$f":"IF(Input_series!B75=\"\",\"\",Input_series!B75)","v":""},{"$f":"IF(Input_series!C75=\"\",\"\",Input_series!C75)","v":""},{"$f":"IF(Input_series!D75=\"\",\"\",Input_series!D75)","v":""}]
[59,{"$f":"IF(Input_series!B76=\"\",\"\",Input_series!B76)","v":""},{"$f":"IF(Input_series!C76=\"\",\"\",Input_series!C76)","v":""},{"$f":"IF(Input_series!D76=\"\",\"\",Input_series!D76)","v":""}]
[60,{"$f":"IF(Input_series!B77=\"\",\"\",Input_series!B77)","v":""},{"$f":"IF(Input_series!C77=\"\",\"\",Input_series!C77)","v":""},{"$f":"IF(Input_series!D77=\"\",\"\",Input_series!D77)","v":""}]
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