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1、AnAlgorithmforCalculatingMonthly-AwerageRadiationonS.A.KleinInclinedSurfacesJ.C.TheilackerAnanalyticalmethodisdevelopedforestimatingR,theratioofthelong-termmonthly-averagedailyradiationonaninclinedsurfacetothatonahorizontalSolarEnergyLaboratorysurface.Thismethoddiff
2、ersfromtheLiuandJordan[1]methodinthemannerinUniversityofWisconsin-Madisonwhichthebeamradiationcomponentisdetermined.ThemethodisapplicableforMadison,Wis.53706surfacesofanyorientation.RvaluescalculatedinthismannerandbytheLiuandJordanmethodarecomparedwithintegratedhour
3、lycalculationsfor23yearsinMadison,WI,Albuquerque,NMandMiami,FL;thecomparisonsshowthat.themethoddescribedinthispaperagreesmorecloselywiththeintegratedhourlycalculations,especiallyforsurfacesfacingeastorwestofsouth.1IntroductionAmethodofestimatingthemonthly-average1so
4、larapproximatedtobetheratioofthemonthlyextraterrestrialradiationincidentonsurfacesorienteddirectlytowardstheradiationontheinclinedsurfacetothatonahorizontalequatorhasbeendevelopedbyLiuandJordan[1].Thesurface.Thisapproximationresultsintheanalyticalex•methodwaslaterex
5、tendedforsurfacesfacingeastorwestofpressionsforRbgiveninequation(8)(forsurfacesfacingsouthbyKlein[2].Inthismethod,HT,themonthly-averagedirectlytowardstheequator)andequation(11)(forsurfacesdailytotalradiationincidentonaninclinedsurface,isrelatedfacingeastorwestofsout
6、h)ofreference[2],LiuandJordantoH,themonthly-averagedailyradiationonahorizontalindicatethattheseexpressionsforRbarecorrectonlyforsurface,byafactorR.south-facingsurfacesduringperiodsofsolarequinox(i.e.,MarchandSeptember).Asshowninsection3,thismannerofHT=RH(1)estimatin
7、gRbcanresultinsignificanterrorsinthecalculatedRisestimatedasthesumofthreetermscorrespondingtothevaluesofR,particularlyforsurfacesfacingeastorwestofbeam,diffuse,andground-reflectedradiationincidentonthesouth.inclinedsurface.Assumingdiffuseandground-reflectedTheisotro
8、picassumptionforthediffusecomponentradiationtobeisotropic,theLiuandJordan[1]relationshipgenerallyresultsinaconservative(i.e.,low)estimateo
