Optimal Consumption Policies for Power-Constrained Flexible Loads Under Dynamic Pricing

Donatello Materassi, Saverio Bolognani, Mardavij Roozbehani, Munther A. Dahleh

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


This paper analyzes the response of an individual consumer with a flexible demand for electricity to exogenous and stochastic electricity prices. The contributions of this paper are twofold. First, we propose a comprehensive model for which the optimal policy can be explicitly computed. The proposed consumer model features a time varying bound on power consumption, the presence of a nondeferrable load profile, the presence of a load profile that can be deferred up to a deadline, and the possibility of curtailment. Second, we describe the algorithm that, via explicit backward iterations of the Bellman equation, returns the optimal response of such consumer in a very general energy market scenario featuring a correlated/nonstationary price process and multiple energy procurement sources.

Original languageEnglish (US)
Article number7060654
Pages (from-to)1884-1892
Number of pages9
JournalIEEE Transactions on Smart Grid
Issue number4
StatePublished - Jul 1 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2010-2012 IEEE.


  • Power demand
  • Power generation economics
  • Power load control


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