The extension of an analytical method for comparing natural diversity to DSM controlled diversity

The purpose of this paper is to report the extension of an analytical method of comparing natural diversity with controlled diversity, and to show the results of comparing the peak load resulting from natural diversity in a set of nonidentical air conditioning units to the peak load of the same set of air conditioners under DSM control. The central limit theorem for nonidentical distributions is used as the theoretical background for the extension. Several case studies are illustrated and the results show that the peak load reduction by direct load control is almost linearly proportional to the increases of the on-time ratios of the air conditioners under control.