Recent studies of solar radiation have shown that instantaneous solar
radiation exhibits a distinct bimodal character associated with clear
and cloudy states. This suggests that many solar systems may simply be
modelled to operate in an on/off fashion corresponding to clear/cloud
y time intervals. It is shown that the average-daily solar system perf
ormance may be calculated from the product of clear-sky solar performa
nce and the average time fraction of clear sky. This approximation gre
atly simplifies the solar system performance prediction. The proposed
method is verified with a solar hot water system. The predicted result
s compare favourably with results predicted by the phi-fBAR chart meth
od and give a conservative estimate of the experimentally measured per
formance.