A jump-driven Markovian electric load model
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Electric water heating loads, in power systems, can be adequately modeled by Markov processes comprising a mix of continuous and discrete states. A physically-based characterization of the dynamic behavior of large aggregates of electric water heating loads is obtained by deriving the forward Kolmogorov equations associated with the individual hybrid-state processes. In addition, by focusing on the discrete part of the state, a Markov renewal viewpoint of the processes is developed. Both viewpoints are used to analyze and predict the transient and steady-state behavior of these loads, of great importance in load management applications.
1990 ◽
Vol 22
(03)
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pp. 564-586
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1994 ◽
Vol 9
(3)
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pp. 1209-1217
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1986 ◽
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1993 ◽
Vol 268
(35)
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pp. 26179-26189
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