Mathematical Modeling Analyses of the Electricity Demand in the Metropolitan Area in Japan

Abstract

We investigate the electricity demand in the Metropolitan Area in Japan. Firstly, we approximate the load duration curve (LDC) using linear and nonlinear functions as accurate as possible. Conducting characteristic analysis of seasonal. monthly and daily changes of the electricity demand, then by normalizing the demand data as X=(x-µ)/ σ, where x, µ, and σ denote demand, mean value, and standard deviation, respectively, we see that they can be expressed almost the same for all months and days, focusing upon the location and move for µ, and σ in the respective LDC. We show the common property which we call for the electricity demand. Then by dividing the yearly 8760 hours of the LDC into 10 time intervals consisting of 876 hours each, we apply structural analysis for investigating characteristics of these intervals. Finally, by using the relationship between the daily highest temperature and the peak demand, we find the hysteresis phenomena which can be seen frequently when we deal with the electricity demands in Japan.