IEEJ Transactions on Power and Energy
Online ISSN : 1348-8147
Print ISSN : 0385-4213
ISSN-L : 0385-4213
Paper
Geographical Extent Feasible for Standard Deviation Calculation using 1/√N Rule regarding Ensemble Average Insolation Fluctuation
Takeyoshi KatoTakato InoueNobuyuki HondaKazumasa KoaizawaShinichi NishinoYasuo Suzuoki
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2012 Volume 132 Issue 3 Pages 213-219

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Abstract

In this study, we evaluated the practical usability of so-called 1/√N rule, focusing on three factors, i.e. the geographical extent, the location of representative point, and the topological difference. First, by using the insolation data observed at 37 points mainly located in the Nobi Plain, we calculated the correlation diagram between two different standard deviations (STDs) of geographical average insolation fluctuation, i.e. STD of ensemble average insolation of N points (σe) and STD calculated with the representative point data by using 1/√N rule (σN). As the results of evaluating the slope and R2 values of regression line of correlation diagram and the P-value of χ2-test regarding frequency distribution of σe and σN, the 1/√N rule would be applicable for the area of around 20km radius. The representative point for calculating σN should be carefully selected even within the area of 15km radius. Because the difference in weather condition is much larger in the Matsumoto Basin area than in the Nobi Plain area even if the area size is the same, the 1/√N rule should be applied to smaller area than the area of 20km radius available for the Nobi Plain area.

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© 2012 by the Institute of Electrical Engineers of Japan
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