Air Mass AM1.5 is supposedly the basis for a standard 1-sun insolation of 1 kW/m

Question

Air Mass AM1.5 is supposedly the basis for a standard 1-sun insolation of 1 kW/m2. To see whether this is reasonable, compute the following for a clear day on March 21st:

a.   What solar altitude angle gives AM1.5? b.   What would be the direct beam radiation normal to the sun’s rays? c.   What would be the diffuse radiation on a collector normal to the rays? d.   What would be the reflected radiation on a collector normal to the rays with = 0.2? e.   What would be the total insolation normal to the rays?

Explanation / Answer

a) angle solar altitude gives AM1.5   = sin-1(1/1.5)   =   41.8 degree .

b)   direct beam radiation normal to the sun’s rays = 1186 * e(-0.156 * 1.5)

                                                                                                                 =   938.55 W/m2

c) diffuse radiation on a collector normal to the rays =   (0.071 * 938.55) * (1 + cos(90-41.8))/2

                                                                                 =   55.52 W/m2

d) reflected radiation on a collector normal to the rays = (0.2 * 938.55) * (0.071 + sin41.8) * (1 - cos(90-41.8))/2

                                                                                     =   23.08 W/m2

e)   the total insolation normal to the rays =   938.55 + 55.52 + 23.08

                                                                =   1017.15 W/m2

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