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["Solar Time, Angles, and Irradiance Calculator"]
[null,"Authors: Prof. Thomas Jenkins, Gabriel Bolivar"]
[null,"Copyright © NMSU 2013"]
[null,null,null,null,null,null,{"$f":"TODAY()","v":"2014-09-25"}]
[null,null,"Acknowledgments: "]
[null,null,"The authors wish to express extreme gratitude for the assistance of the following:"]
[null,null,"College of Engineering (COE) and Engineering NM:                      http://engr.nmsu.edu/index.shtml  "]
[null,null,"Cooperative Extension Service:                                                     http://extension.nmsu.edu/"]
[null,null,"New Mexico Space Grant Consortium (NMSGC):                        http://www.nmspacegrant.com/"]
[null,null,"Department of Engineering Technology and Surveying Engineering (ETSE):  http://et.nmsu.edu/"]
[]
[null,null,"Disclaimer: This document is only intended to provide an education tool and should not be used beyond "]
[null,null,"this purpose. The authors tried to use good engineering analysis but all situations are different and the user "]
[null,null,"should consult a professional in all cases."]
[]
[null,null,"See related energy videos at:",null,null,"http://www.youtube.com/playlist?list=PL89870B418A514D27  "]
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["http://www.youtube.com/playlist?list=PL89870B418A514D27  "]

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["Determining Solar Versus Local Time",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"January",1,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1},"N"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"February",2,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1},"Y"]
["Step 1: In the table to the right, enter the local latitude and  longitude angles of the location in degrees. For example, Las Cruces, NM, is at latitude 32.32 degrees north from the Equator and at longitude 106.75 degrees west from the Prime Meridian.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"March",3,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,"Location's Latitude Angle in degrees",null,null,null,32.28,"degrees",null,null,null,null,null,null,null,null,"April",4,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,"Location's Longitude Angle in degrees",null,null,null,106.75,"degrees",null,null,null,null,null,null,null,null,"May",5,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Step 2: In the same table to the right, enter the month and day for which you want to calculate the corresponding Julian Day (1–365) of the year, with 1 being Jan 1st and 365 being Dec 31st.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"June",6,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,"Enter the month and day to calculate the Julian day number:",null,null,null,null,null,null,null,null,null,null,null,null,null,"July",7,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Step 3: In the green cells below, enter the local time in the green  \"Enter the local time\" cell. Enter the value for the hour using 24-hour time—for example, 2:30 pm would be 14 hours (Hr) and 30 minutes (Min). Finally, enter whether or not Daylight Saving Time is active, along with the corresponding Time Zone of the location.",null,null,null,null,null,null,null,null,null,null,"Month",null,"Day",null,"Julian Day",null,null,null,null,null,null,null,null,null,"August",8,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,"November",null,14,null,{"$f":"IF(L9=\"January\",N9,IF(L9=\"February\",N9+31,IF(L9=\"March\",N9+59,IF(L9=\"April\",N9+90,IF(L9=\"May\",N9+120,IF(L9=\"June\",N9+151,IF(L9=\"July\",N9+181,IF(L9=\"August\",N9+212,IF(L9=\"September\",N9+243,IF(L9=\"October\",N9+273,IF(L9=\"November\",N9+304,IF(L9=\"December\",N9+334,0))))))))))))","v":318},null,null,null,null,null,null,null,null,null,"September",9,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IFERROR(IF(INDEX(AB1:AB31,MATCH(N9,AA1:AA31,0))=0,\"The date value entered is INCORRECT\",\"\"),\"The date value entered is INCORRECT\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,"October",10,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"November",11,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,"Hr","Min",null,"Time in decimal",null,null,null,"Julian Day Number for the 1st Day of Each Month",null,null,null,null,null,null,null,null,null,null,null,null,null,"December",12,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Enter the local time: (hours and  min)",null,null,null,14,34,null,{"$f":"E13+(F13/60)","v":14.566666666666666},null,null,null,"Month","n = ","Month","n =","Month","n =",null,null,null,null,null,null,null,null,null,13,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Are you in Daylight Saving Time (Y/N)?",null,null,null,"N",{"$f":"IF(AND(E14=\"Y\",(OR(L9=\"April\",L9=\"May\",L9=\"June\",L9=\"July\",L9=\"August\",L9=\"September\",L9=\"October\",AND(L9=\"November\",N9<=7),AND(L9=\"March\",N9>=8)))),\"\",IF(AND(E14=\"N\",(OR(L9=\"December\",L9=\"January\",L9=\"February\",AND(L9=\"November\",N9>=1),AND(L9=\"March\",N9<=14)))),\"\",\"Warning: Check the Daylight Savings Time\"))","v":""},null,null,null,null,null,"January",1,"May",121,"September",244,null,null,null,null,null,null,null,null,null,14,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Time Zone (use drop-down menu)",null,null,null,"Mountain",{"$f":"IF(AND(E15=\"Eastern\",AND(P5>=70,P5<=85)),\"\",IF(AND(E15=\"Central\",AND(P5>=85,P5<=100)),\"\",IF(AND(E15=\"Mountain\",AND(P5>=100,P5<=115)),\"\",IF(AND(E15=\"Pacific\",AND(P5>=115,P5<=125)),\"\",\"Warning: Check the Time Zone\"))))","v":""},null,null,null,null,null,"February",32,"June",152,"October",274,null,null,null,null,null,null,null,null,null,15,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,"March",60,"July",182,"November",305,null,null,null,null,null,null,null,null,null,16,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,"Calculations:",null,null,null,null,null,null,null,"April",91,"August",213,"December",335,null,null,null,null,null,null,null,null,null,17,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Longitude Correction (B)",null,null,null,{"$f":"(360/364*(P9-81))","v":234.39560439560441},"degrees",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Equation of Time (E)",null,null,null,{"$f":"(9.87*SIN(RADIANS(2*E18)))-(7.53*COS(RADIANS(E18)))-(1.5*SIN(RADIANS(E18)))","v":14.947355946905493},"minutes",null,null,null,null,null,null,null,"Local Time Zones",null,null,null,null,null,null,null,null,null,null,null,null,19,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Local Meridian (degrees West of Greenwich)",null,null,null,{"$f":"IF(E15=\"Eastern\",75,IF(E15=\"Central\",90,IF(E15=\"Mountain\",105,IF(E15=\"Pacific\",120,\"error\"))))","v":105},"degrees",null,null,null,null,null,null,null,"Eastern",75,"degrees West",null,null,null,null,null,null,null,null,null,null,20,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Hours before (+) or after (-) solar noon",null,null,null,{"$f":"C27-H13","v":-2.6991225991150927},"hours","or",{"$f":"ABS(E21)/24","v":"02:41:56.841"},{"$f":"IF(E21<0,\"AFTER solar noon\",\"BEFORE solar noon\")","v":"AFTER solar noon"},null,null,null,null,"Central",90,"degrees West",null,null,null,null,null,null,null,null,null,null,21,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Mountain",105,"degrees West",null,null,null,null,null,null,null,null,null,null,22,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,"Time Conversion",null,null,null,null,null,null,null,null,null,"Pacific",120,"degrees West",null,null,null,null,null,null,null,null,null,null,23,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,"Decimal",null,"24-hour Format",null,null,"12-hour Format",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["Solar Time is:",null,{"$f":"((H13*60+4*(E20-P5)+E19)/60)+IF(E14=\"Y\",-1,0)","v":14.699122599115093},null,{"$f":"TEXT(C25/24, \"h:mm\")","v":"14:41"},null,null,{"$f":"C25/24","v":"14:41:56.841"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
["On this day, solar noon is at this local time:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,{"$f":"((12*60)-4*(E20-P5)-(E19))/60+IF(E14=\"Y\",1,0)","v":11.867544067551574},null,{"$f":"TEXT(C27/24, \"h:mm\")","v":"11:52"},null,null,{"$f":"C27/24","v":"11:52:03.159"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,{"$f":"IF(L9=\"January\",1,IF(L9=\"February\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0))))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,{"$f":"IF(L9=\"January\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0)))))))))))","v":1}]
["Step 4: To convert from solar time to local time, use the input cells below. Enter the solar time in the green cells (hours in 24-hour time format). A decimal hour value and the corresponding local time for the location previously entered will be displayed.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,{"$f":"IF(L9=\"January\",1,IF(L9=\"March\",1,IF(L9=\"April\",1,IF(L9=\"May\",1,IF(L9=\"June\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"September\",1,IF(L9=\"October\",1,IF(L9=\"November\",1,IF(L9=\"December\",1,0)))))))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,{"$f":"IF(L9=\"January\",1,IF(L9=\"March\",1,IF(L9=\"May\",1,IF(L9=\"July\",1,IF(L9=\"August\",1,IF(L9=\"October\",1,IF(L9=\"December\",1,0)))))))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Useful",{"$f":"COUNTIF(AB1:AB31,\"=1\")","v":30}]
[]
[null,null,"Hr","Min",null,"Time in decimal",null,"12-hour Format"]
["Solar Time (ST) ",null,15,19,null,{"$f":"C35+D35/60","v":15.316666666666666},null,{"$f":"F35/24","v":"15:19:00"}]
["Local Time (CT)",null,{"$f":"INT(F36)","v":15},{"$f":"ROUNDDOWN((F36-C36)*60,0)","v":11},null,{"$f":"((F35*60)-4*(E20-P5)-(E19))/60+IF(E14=\"Y\",1,0)","v":15.184210734218242},null,{"$f":"F36/24","v":"15:11:03.159"}]

{"sheet":"Angles","index":2,"n_rows":21,"n_cols":20,"rows_kept":21,"cut":false,"hidden":false,"merged":[[0,0,1,11],[2,8,2,10],[3,8,3,10],[4,8,4,10],[6,8,6,10],[2,0,6,7],[5,8,5,10],[20,0,20,3],[15,0,15,3],[16,0,16,3],[17,0,17,3],[18,0,18,3],[19,0,19,3],[9,0,9,3],[10,0,10,3],[11,0,11,3],[8,0,8,6],[14,0,14,6],[12,0,12,3]]}
["Determining Sun Angles for any Day/Time",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Azimuth",{"$f":"DEGREES(ASIN(COS(RADIANS(F10))*SIN(RADIANS(F17))/COS(RADIANS(F18))))","v":-43.017314379556851},"From book: east or west from north"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Before",{"$f":"180-S1","v":223.01731437955686},"East from north"]
["Step 5: The table to the right shows the values previously entered: latitude and longitude angles, Julian day, local time, and solar time. These values are taken from the previous Time sheet entries. In the cells below, the solar angles are calculated for both the Solar Noon and the time specified. You do not have to enter any values within this sheet.",null,null,null,null,null,null,null,"Latitude",null,null,{"$f":"Time!P4","v":32.28},null,null,null,null,null,"After",{"$f":"180-S1-360","v":-136.98268562044314},"West from south"]
[null,null,null,null,null,null,null,null,"Longitude",null,null,{"$f":"Time!P5","v":106.75},null,null,null,null,null,null,{"$f":"IF(COS(RADIANS(F17))>=((TAN(RADIANS(F10)))/(TAN(RADIANS(Time!P4)))),(DEGREES(ASIN(COS(RADIANS(F10))*SIN(RADIANS(F17))/COS(RADIANS(F18))))),IF(Time!H13<12,(180-DEGREES(ASIN(COS(RADIANS(F10))*SIN(RADIANS(F17))/COS(RADIANS(F18))))),(180-DEGREES(ASIN(COS(RADIANS(F10))*SIN(RADIANS(F17))/COS(RADIANS(F18))))-360)))","v":-43.017314379556851}]
[null,null,null,null,null,null,null,null,"Julian Day",null,null,{"$f":"Time!P9","v":318}]
[null,null,null,null,null,null,null,null,"Local Time in Decimal",null,null,{"$f":"Time!H13","v":14.566666666666666}]
[null,null,null,null,null,null,null,null,"Solar Time in Decimal",null,null,{"$f":"Time!C25","v":14.699122599115093}]
[]
["Solar Calculations at Solar Noon"]
["Solar Declination (δ)",null,null,null,null,{"$f":"23.45*SIN(RADIANS(360/365*(L5-81)))","v":-18.91195474122615},"degrees"]
["Solar Altitude (βn) sun angle from horizon at noon",null,null,null,null,{"$f":"(90-Time!P4+F10)","v":38.808045258773845},"degrees"]
["Collector Tilt Angle (Σ)",null,null,null,null,{"$f":"90-F11","v":51.191954741226155},"degrees"]
["Air Mass Ratio (m)",null,null,null,null,{"$f":"ABS(1/SIN(RADIANS(F11)))","v":1.5956261031574404}]
[]
["Solar Calculations with Time Component"]
["Hours before/after solar noon (+/-)",null,null,null,null,{"$f":"Time!E21","v":-2.6991225991150927},{"$f":"IF(F16<0,\"Hours After\",\"Hours Before\")","v":"Hours After"}]
["Solar Hour Angle (H)",null,null,null,null,{"$f":"15*F16","v":-40.48683898672639},"degrees"]
["Solar Altitude (βs)",null,null,null,null,{"$f":"DEGREES(ASIN(COS(RADIANS(Time!P4))*COS(RADIANS(F10))*COS(RADIANS(F17))+SIN(RADIANS(Time!P4))*SIN(RADIANS(F10))))","v":25.798214707582066},"degrees"]
["Solar Azimuth Angle (Φs)",null,null,null,null,{"$f":"IF(COS(RADIANS(F17))>=((TAN(RADIANS(F10)))/(TAN(RADIANS(Time!P4)))),S1,IF(Time!H13<12,Angles!S2,Angles!S3))","v":-43.017314379556851},{"$f":"IF(F19<0,\"degrees West\",\"degrees East\")","v":"degrees West"}]
["Collector Tilt Angle (Σ) (optimal)",null,null,null,null,{"$f":"90-F18","v":64.201785292417938},"degrees"]
["Air Mass Ratio (m)",null,null,null,null,{"$f":"ABS(1/SIN(RADIANS(F18)))","v":2.2977780357316675}]

{"sheet":"Insolation","index":3,"n_rows":48,"n_cols":18,"rows_kept":48,"cut":false,"hidden":false,"merged":[[14,9,14,11],[14,14,14,17],[15,14,15,15],[16,14,16,15],[17,14,17,15],[18,14,18,15],[21,14,21,17],[22,14,22,15],[23,14,23,15],[24,14,24,15],[25,14,25,15],[47,2,47,3],[29,0,29,3],[42,0,42,1],[32,0,32,3],[33,0,33,3],[30,0,30,3],[31,0,31,3],[44,0,44,1],[45,0,45,1],[46,0,46,1],[25,9,25,11],[9,0,9,3],[10,0,10,3],[11,0,11,3],[12,0,12,3],[19,0,19,3],[18,0,18,3],[15,0,15,3],[14,0,14,8],[0,0,1,16],[2,14,2,16],[2,8,2,9],[3,8,3,9],[4,8,4,9],[2,0,7,7],[20,0,20,3],[26,0,26,3],[36,0,40,7],[43,0,43,1],[42,4,42,7],[25,0,25,8],[21,0,21,3],[22,0,22,3]]}
["Solar Insolation"]
[]
["Step 6: This sheet calculates the three diferent components of the solar insolation (direct, diffuse, and reflected) and values related to these calculations. It will also display the insolation for different types of collector angles (flat, optimal tilted, and 1- and 2-axis trackers). In the green cells to the right, enter the azimuth angle and the tilt angle of the collector. Azimuth angles are positive (+) in the southeast and negative (-) in the southwest. Finally, enter the coefficient for the reflectance of the surface. Use the table to the right as a guide.",null,null,null,null,null,null,null,"Local Time",null,{"$f":"Time!H13/24","v":"14:34:00"},null,null,null,"Ground Reflectance (ρ)"]
[null,null,null,null,null,null,null,null,"Solar Time",null,{"$f":"Time!H25","v":"14:41:56.841"},null,null,null,"Fresh snow",null,0.8]
[null,null,null,null,null,null,null,null,"Date",null,{"$f":"Time!L9","v":"November"},{"$f":"Time!N9","v":14},null,null,"Ocean ice",null,0.6]
[null,null,null,null,null,null,null,null,"Collector azimuth angle (Φc)  ",null,null,0,"degrees",null,"Desert sand",null,0.4]
[null,null,null,null,null,null,null,null,"Collector tilt angle (∑)",null,null,32.28,"degrees",null,"Ordinary ground/grass",null,0.2]
[null,null,null,null,null,null,null,null,"Reflectance of surface (ρ)",null,null,0.2,null,null,"Gravel roof",null,0.1]
[]
["Extraterrestrial Solar Insolation (Io)",null,null,null,{"$f":"1370*(1+0.034*COS(RADIANS(360*Angles!L5)/365))","v":1402.1482764243576},"W/m2"]
["Apparent Extraterrestrial Solar Insolation (A)",null,null,null,{"$f":"1160+75*SIN(RADIANS((360/365)*(Angles!L5-275)))","v":1210.5832714124708},"W/m2"]
["Optical Depth - how hard is it for light to pass (k)",null,null,null,{"$f":"0.174+0.035*SIN(RADIANS(360/365*(Angles!L5-100)))","v":0.15391797062334861}]
["Sky diffuse factor (C)",null,null,null,{"$f":"0.095+0.04*SIN(RADIANS(360/365*(Angles!L5-100)))","v":7.2049109283827018E-2}]
[]
["AT SOLAR NOON:",null,null,null,null,null,null,null,null,{"$f":"Time!H27","v":"11:52:03.159"},null,null,null,null,"Total Daily Insolation"]
["Clear Sky Beam Radiation at the Earth (IB)",null,null,null,{"$f":"E11*EXP(-E12*Angles!F13)","v":946.96490490376493},"W/m2",null,null,null,null,null,null,null,null,"Flat Panel",null,{"$f":"PSH!T37","v":4.1141019741146394},"kWh/day"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tilted Panel",null,{"$f":"PSH!W37","v":6.2630548428453947},"kWh/day"]
[null,null,null,null,"FLAT",null,"TILTED",null,"1-AXIS TRACKER",null,"2-AXIS TRACKER",null,null,null,"1-Axis Tracker",null,{"$f":"PSH!Z37","v":7.5729104716023343},"kWh/day"]
["Angle of Incidence (cosθ)",null,null,null,{"$f":"COS(RADIANS(Angles!F11))*COS(RADIANS(0-Insolation!L6))*SIN(RADIANS(0))+SIN(RADIANS(Angles!F11))*COS(RADIANS(0))","v":0.62671323690505587},{"$f":"DEGREES(ACOS(E19))","v":51.191954741226155},{"$f":"COS(RADIANS(Angles!F11))*COS(RADIANS(0-Insolation!L6))*SIN(RADIANS(Insolation!L7))+SIN(RADIANS(Angles!F11))*COS(RADIANS(Insolation!L7))","v":0.94601775299596502},{"$f":"DEGREES(ACOS(G19))","v":18.911954741226168},{"$f":"COS(RADIANS(Angles!F11))*COS(RADIANS(0-0))*SIN(RADIANS(Insolation!L7))+SIN(RADIANS(Angles!F11))*COS(RADIANS(Insolation!L7))","v":0.94601775299596502},{"$f":"DEGREES(ACOS(I19))","v":18.911954741226168},{"$f":"COS(RADIANS(Angles!F11))*COS(RADIANS(0-0))*SIN(RADIANS(90-Angles!F11))+SIN(RADIANS(Angles!F11))*COS(RADIANS(90-Angles!F11))","v":1},{"$f":"DEGREES(ACOS(K19))","v":0},null,null,"2-Axis Tracker",null,{"$f":"PSH!AC37","v":7.9093536341789346},"kWh/day"]
["Beam Insolation on a Collector Face (IBC)",null,null,null,{"$f":"Insolation!E16*E19","v":593.47544078772694},"W/m2",{"$f":"Insolation!E16*G19","v":895.84561150309742},"W/m2",{"$f":"Insolation!E16*COS(RADIANS(Angles!F10))","v":895.84561150309753},"W/m2",{"$f":"Insolation!E16","v":946.96490490376493},"W/m2"]
["Diffuse Radiation (IDC)",null,null,null,{"$f":"E13*Insolation!E16","v":68.227977921360221},"W/m2",{"$f":"E13*Insolation!E16*((1+COS(RADIANS(Insolation!L7)))/2)","v":62.955603134262887},"W/m2",{"$f":"E13*Insolation!E16*((1+COS(RADIANS(90-Angles!F11+Angles!F10)))/2)","v":62.955603134262887},"W/m2",{"$f":"E13*Insolation!E16*((1+COS(RADIANS(90-Angles!F11)))/2)","v":55.49367740597129},"W/m2"]
["Reflected Radiation (IRC)",null,null,null,{"$f":"L8*Insolation!E16*(SIN(RADIANS(Angles!F11))+E13)*((1-COS(RADIANS(0)))/2)","v":0},"W/m2",{"$f":"L8*Insolation!E16*((SIN(RADIANS(Angles!F11)))+E13)*((1-COS(RADIANS(Insolation!L7)))/2)","v":10.226738436713003},"W/m2",{"$f":"L8*((E16*SIN(RADIANS(Angles!F11)))+(E13*E16))*((1-COS(RADIANS(90-Angles!F11+Angles!F10)))/2)","v":10.226738436713001},"W/m2",{"$f":"L8*((E16*SIN(RADIANS(Angles!F11)))+(E13*E16))*((1-COS(RADIANS(90-Angles!F11)))/2)","v":24.700512729877357},"W/m2",null,null,"Total Yearly Insolation"]
["Total Insolation on a Collector (IC)",null,null,null,{"$f":"E20+E21+E22","v":661.70341870908715},"W/m2",{"$f":"SUM(G20,G21,G22)","v":969.02795307407337},"W/m2",{"$f":"SUM(I20:I22)","v":969.02795307407348},"W/m2",{"$f":"SUM(K20,K21,K22)","v":1027.1590950396137},"W/m2",null,null,"Flat Panel",null,{"$f":"PSH!B125","v":2251.6624752824009},"kWh/m2-yr"]
["Power generated compared to the TILTED option",null,null,null,{"$f":"E23/G23","v":0.6828527666409907},null,{"$f":"G23/G23","v":1},null,{"$f":"I23/G23","v":1.0000000000000002},null,{"$f":"K23/G23","v":1.0599891280546958},null,null,null,"Tilted Panel",null,{"$f":"PSH!C125","v":2528.4846639665639},"kWh/m2-yr"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1-Axis Tracker",null,{"$f":"PSH!D125","v":3313.4089425009674},"kWh/m2-yr"]
["AT GIVEN TIME:",null,null,null,null,null,null,null,null,{"$f":"Time!H13/24","v":"14:34:00"},null,null,null,null,"2-Axis Tracker",null,{"$f":"PSH!E125","v":3455.2751658280054},"kWh/m2-yr"]
["Clear Sky Beam Radiation at the Earth (IB)",null,null,null,{"$f":"IF(Angles!F18>0,E11*EXP(-E12*Angles!F21),0)","v":849.95910174491473},"W/m2"]
[]
[null,null,null,null,"FLAT",null,"TILTED",null,"1-AXIS TRACKER",null,"2-AXIS TRACKER"]
["Angle of Incidence (cosθ)",null,null,null,{"$f":"COS(RADIANS(Angles!F18))*COS(RADIANS(Angles!F19-Insolation!L6))*SIN(RADIANS(0))+(SIN(RADIANS(Angles!F18))*COS(RADIANS(0)))","v":0.43520304592065445},{"$f":"DEGREES(ACOS(E30))","v":64.201785292417938},{"$f":"COS(RADIANS(Angles!F18))*COS(RADIANS(Angles!F19-Insolation!L6))*SIN(RADIANS(Insolation!L7))+SIN(RADIANS(Angles!F18))*COS(RADIANS(Insolation!L7))","v":0.71949865105597643},{"$f":"DEGREES(ACOS(G30))","v":43.98689635940574},{"$f":"COS(RADIANS(Angles!F18))*COS(RADIANS(Angles!F19-Angles!F19))*SIN(RADIANS(Insolation!L7))+SIN(RADIANS(Angles!F18))*COS(RADIANS(Insolation!L7))","v":0.84877070075686245},{"$f":"DEGREES(ACOS(I30))","v":31.92178529241794},{"$f":"COS(RADIANS(Angles!F18))*COS(RADIANS(Angles!F19-Angles!F19))*SIN(RADIANS(90-Angles!F18))+SIN(RADIANS(Angles!F18))*COS(RADIANS(90-Angles!F18))","v":1},{"$f":"DEGREES(ACOS(K30))","v":0}]
["Beam Insolation on a Collector Face (IBC)",null,null,null,{"$f":"Insolation!E27*E30","v":369.90478998737035},"W/m2",{"$f":"IF(G30<0,0,Insolation!E27*G30)","v":611.54442715821563},"W/m2",{"$f":"Insolation!E27*COS(RADIANS(Angles!F10))","v":804.07639957119318},"W/m2",{"$f":"Insolation!E27","v":849.95910174491473},"W/m2"]
["Diffuse Radiation (IDC)",null,null,null,{"$f":"E13*Insolation!E27","v":61.23879620840281},"W/m2",{"$f":"E13*Insolation!E27*((1+COS(RADIANS(L7)))/2)","v":56.506516358433927},"W/m2",{"$f":"E13*Insolation!E27*((1+COS(RADIANS(90-Angles!F18+Angles!F10)))/2)","v":52.160783139714511},"W/m2",{"$f":"E13*Insolation!E27*((1+COS(RADIANS(90-Angles!F18)))/2)","v":43.945053423406968},"W/m2"]
["Reflected Radiation (IRC)",null,null,null,{"$f":"L8*Insolation!E27*(SIN(RADIANS(Angles!F18))+E13)*((1-COS(RADIANS(0)))/2)","v":0},"W/m2",{"$f":"L8*Insolation!E27*((SIN(RADIANS(Angles!F18)))+E13)*((1-COS(RADIANS(Insolation!L7)))/2)","v":6.663397165594918},"W/m2",{"$f":"L8*((E27*SIN(RADIANS(Angles!F18)))+(E13*E27))*((1-COS(RADIANS(90-Angles!F18+Angles!F10)))/2)","v":12.782508319225668},"W/m2",{"$f":"L8*((E27*SIN(RADIANS(Angles!F18)))+(E13*E27))*((1-COS(RADIANS(90-Angles!F18)))/2)","v":24.350858425421848},"W/m2"]
["Total Insolation on a Collector (IC)",null,null,null,{"$f":"SUM(E31:E33)","v":431.14358619577314},"W/m2",{"$f":"SUM(G31,G32,G33)","v":674.71434068224448},"W/m2",{"$f":"SUM(I31:I33)","v":869.01969103013346},"W/m2",{"$f":"SUM(K31,K32,K33)","v":918.25501359374357},"W/m2"]
["Power generated compared to the TILTED option",null,null,null,{"$f":"IFERROR(E34/G34,0)","v":0.63900166366675681},null,{"$f":"IFERROR(G34/G34,0)","v":1},null,{"$f":"IFERROR(I34/G34,0)","v":1.2879816518371539},null,{"$f":"IFERROR(K34/G34,0)","v":1.3609537521690147}]
[]
["Step 7. The next table calculates the actual amount of power generated by a solar panel. Enter the physical size of the solar panel you plan to use as well as its rated voltage, current, and power values at Standard Test Conditions (1000 W/m2 irradiance, 25°C cell temperature, and 1.5 Air Mass Ratio). The width and length values are in inches."]
[]
[]
[null,null,null,null,null,null,null,null,null,"These values assume given time"]
[null,null,null,null,null,null,null,null,null,null,null,"Area",{"$f":"(C43/39.37)*(C44/39.37)","v":1.485266712468909}]
[null,null,null,null,null,null,null,null,null,"Insolation with AM = 1.5",null,null,{"$f":"IF(Angles!F18>0,E11*EXP(-E12*1.5),0)","v":961.00595824726099}]
["Length",null,59.06,"in","ACTUAL POWER GENERATED",null,null,null,null,"power generated for panel in 1m2",null,null,{"$f":"1*C47/M41","v":144.75514612632281}]
["Width",null,38.979999999999997,"in",null,{"$f":"IFERROR(F46/F45,0)","v":7.767529361772973},"Amps",null,null,"Real power generated in 1m2",null,null,{"$f":"M43*M42/1000","v":139.11055791434913}]
["Current (Imp)",null,8.09,"Amps",null,{"$f":"IF(Angles!F18>0,C46,0)","v":26.6},"V",null,null,"Panel power (real size)",null,null,{"$f":"M41*M44","v":206.61628102316109}]
["Voltage (Vmp)",null,26.6,"V",null,{"$f":"M45","v":206.61628102316109},"W"]
["Power (Pmax)",null,215,"W",null,{"$f":"M44/E16","v":0.14690149254104218},"Efficiency"]
[null,null,{"$f":"IF(OR(C45*C46>C47+10,C45*C46<C47-10),\"Check your values\",\"\")","v":""}]

{"sheet":"Sunrise-Sunset","index":4,"n_rows":31,"n_cols":5,"rows_kept":31,"cut":false,"hidden":false,"merged":[[2,0,4,9],[6,0,6,4],[18,0,18,4],[0,0,1,9]]}
["Sunrise and Sunset"]
[]
["Step 8: This sheet calculates the approximate hour for the sunrise and sunset at the date and location previously specified. It also shows the duration of visible sunlight during that day. You do not have to enter any values within this sheet."]
[]
[]
[]
["Sunrise"]
["Hour angle",null,{"$f":"DEGREES(ACOS((-TAN(RADIANS(Time!P4))*TAN(RADIANS(Angles!F10)))))","v":77.501064286237622},"degrees"]
["Hours Before Solar Noon",null,{"$f":"C8/15","v":5.1667376190825083},"hours"]
["Geometric Sunrise"]
[null,"Solar Time",{"$f":"12-(C8/15)","v":6.8332623809174917},"or",{"$f":"C11/24","v":"06:49:59.745"}]
[null,"Local Time",{"$f":"C11-(12-Time!C27)","v":6.7008064484690655},"or",{"$f":"C12/24","v":"06:42:02.903"}]
["Adjustment Factor (Q)",null,{"$f":"3.467/(COS(RADIANS(Time!P4))*COS(RADIANS(Angles!F10))*SIN(RADIANS('Sunrise-Sunset'!C8)))","v":4.4400125274679851},"min"]
["Conventional Sunrise"]
[null,"Solar Time",{"$f":"C11-(C13/60)","v":6.759262172126359},"or",{"$f":"C15/24","v":"06:45:33.344"}]
[null,"Local Time",{"$f":"C15-(12-Time!C27)","v":6.6268062396779328},"or",{"$f":"C16/24","v":"06:37:36.502"}]
[]
[]
["Sunset"]
["Hour angle",null,{"$f":"DEGREES(ACOS((-TAN(RADIANS(Time!P4))*TAN(RADIANS(Angles!F10)))))","v":77.501064286237622},"degrees"]
["Hours After Solar Noon",null,{"$f":"C20/15","v":5.1667376190825083},"hours"]
["Geometric Sunset"]
[null,"Solar Time",{"$f":"12+(C20/15)","v":17.166737619082507},"or",{"$f":"C23/24","v":"17:10:00.255"}]
[null,"Local Time",{"$f":"C23-(12-Time!C27)","v":17.034281686634081},"or",{"$f":"C24/24","v":"17:02:03.414"}]
["Adjustment Factor (Q)",null,{"$f":"3.467/(COS(RADIANS(Time!P4))*COS(RADIANS(Angles!F10))*SIN(RADIANS('Sunrise-Sunset'!C20)))","v":4.4400125274679851},"min"]
["Conventional Sunrise"]
[null,"Solar Time",{"$f":"C23+(C25/60)","v":17.240737827873641},"or",{"$f":"C27/24","v":"17:14:26.656"}]
[null,"Local Time",{"$f":"C27-(12-Time!C27)","v":17.108281895425215},"or",{"$f":"C28/24","v":"17:06:29.815"}]
[]
[]
[null,"Day duration",{"$f":"C28-C16","v":10.481475655747282},"Hours"]

{"sheet":"Position","index":5,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Graph","index":6,"n_rows":34,"n_cols":16,"rows_kept":34,"cut":false,"hidden":true,"merged":[]}
[" Time","Solar Altitude","Azimuth","Insolation",null,null,"Hours +/-","Hour Angle","Air Mass",null,"Latitude",{"$f":"Time!P4","v":32.28}]
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[]
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[]
["Day","January","February","March","April","May","June","July","August","September","October","November","December",null,null,null,null,"yearly insolation"]
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["January",{"$f":"P76","v":3.8607926128440258},{"$f":"R76","v":6.2140399069165264},{"$f":"T76","v":7.5160033434913744},{"$f":"V76","v":7.9771952731325833}]
["February",{"$f":"AK76","v":4.9356205984462553},{"$f":"AM76","v":6.9389387976456058},{"$f":"AO76","v":8.7729529683467806},{"$f":"AQ76","v":8.9539205597788065}]
["March",{"$f":"BF76","v":6.2227517905961705},{"$f":"BH76","v":7.4603475575502554},{"$f":"BJ76","v":9.7862632991359604},{"$f":"BL76","v":9.7842360608949139}]
["April",{"$f":"CA76","v":7.3990574582370519},{"$f":"CC76","v":7.5126204273145509},{"$f":"CE76","v":10.214248927868555},{"$f":"CG76","v":10.400261167051491}]
["May",{"$f":"CV76","v":8.0788213213027724},{"$f":"CX76","v":7.2541913781221012},{"$f":"CZ76","v":10.156227417736774},{"$f":"DB76","v":10.817288314689636}]
["June",{"$f":"DQ76","v":8.2701656733224542},{"$f":"DS76","v":7.0212572045475028},{"$f":"DU76","v":9.832406605308833},{"$f":"DW76","v":10.812642876022627}]
["July",{"$f":"P112","v":8.1189885424036028},{"$f":"R112","v":7.0568398437059958},{"$f":"T112","v":9.8103549234109533},{"$f":"V112","v":10.649497005658356}]
["August",{"$f":"AK112","v":7.5740331179440421},{"$f":"AM112","v":7.2605047487224663},{"$f":"AO112","v":9.8731460596051477},{"$f":"AQ112","v":10.241791521671798}]
["September",{"$f":"BF112","v":6.562010721455084},{"$f":"BH112","v":7.2964567291119931},{"$f":"BJ112","v":9.4860171758520622},{"$f":"BL112","v":9.5063027440682877}]
["October",{"$f":"CA112","v":5.2889827464032271},{"$f":"CC112","v":6.9307541478358772},{"$f":"CE112","v":8.7857723844349138},{"$f":"CG112","v":8.8536078668733236}]
["November",{"$f":"CV112","v":4.0846235236697872},{"$f":"CX112","v":6.2450890561834091},{"$f":"CZ112","v":7.545287181488745},{"$f":"DB112","v":7.8907990577523366}]
["December",{"$f":"DQ112","v":3.5649646177117766},{"$f":"DS112","v":5.9501506467520624},{"$f":"DU112","v":7.1505378196594416},{"$f":"DW112","v":7.6849392734457176}]
["TOTAL",{"$f":"(B113*31)+(B114*28)+(B115*31)+(B116*30)+(B117*31)+(B118*30)+(B119*31)+(B120*31)+(B121*30)+(B122*31)+(B123*30)+(B124*31)","v":2251.6624752824009},{"$f":"(C113*31)+(C114*28)+(C115*31)+(C116*30)+(C117*31)+(C118*30)+(C119*31)+(C120*31)+(C121*30)+(C122*31)+(C123*30)+(C124*31)","v":2528.4846639665639},3313.4089425009674,3455.2751658280054,"Ins*#day each month"]
["TOTAL2",{"$f":"SUM(B113:B124)/12*365","v":2249.6413870318943},{"$f":"SUM(C113:C124)/12*365","v":2528.87787601742},3313.2637174011616,3454.4963190149629,"sum,avg*365"]