An analytical method for comparing natural diversity to DSM controlled diversity

The purpose of this paper is to report 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 air conditioning units to the peak load that can be achieved with DSM control of the same set of air conditioners. In this study it is assumed that the energy use by the air conditioners is the same in both cases. Under this assumption, an analytical model for finding the probabilities of all the possible peak loads is developed and illustrated in case studies