A cyclic diffusion process—a member of the class of hybrid-state Markov processes—has been used to construct aggregate load models for a portion of power system loads controlled by thermostat (heating or cooling loads), following an approach inspired from the methods of statistical mechanics. The statistical properties of the process are analysed using renewal theory and the Fokker–Planck equation.
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Malhamé et al. (1988) studied this question.
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