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A jump-driven Markovian electric load model

Published online by Cambridge University Press:  01 July 2016

Roland Malhamé
Roland Malhamé*
Affiliation:
École Polytechnique de Montréal
*
∗Postal address: École Polytechnique de Montréal, Département de Génie Électrique, Montréal, Québec H3C 3A7, Canada.
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Abstract

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.

Keywords

LOAD MODELINGMARKOV RENEWAL PROCESSESFIRST-PASSAGE TIMES
Type
Research Article
Information
Advances in Applied Probability , Volume 22 , Issue 3 , September 1990 , pp. 564 - 586
Copyright
Copyright © Applied Probability Trust 1990 

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