Multi-period demand response management in the smart grid: a Stackelberg game approach
Alshehri, Khaled Mohammed A
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https://hdl.handle.net/2142/88959
Description
Title
Multi-period demand response management in the smart grid: a Stackelberg game approach
Author(s)
Alshehri, Khaled Mohammed A
Issue Date
2015-10-30
Director of Research (if dissertation) or Advisor (if thesis)
Basar, Tamer
Department of Study
Electrical & Computer Engineering
Discipline
Electrical & Computer Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Smart Grid
Game Theory
Abstract
This thesis studies a multi-period demand response management problem in the smart grid where multiple utility companies compete among themselves. The user-utility interactions are modeled by a noncooperative game of a Stackelberg type where the interactions among the utility companies are captured through a Nash equilibrium. It is shown that this game has a unique Stackelberg equilibrium at which the utility companies set prices to maximize their revenues (within a Nash game) while the users respond accordingly to maximize their utilities subject to their budget constraints. Closed-form expressions are provided for the corresponding strategies of the users and the utility companies. It is shown, both analytically and numerically, that the multi-period scheme, compared with the single-period one, provides more incentives for energy consumers to participate in demand response programs. A necessary and sufficient condition on the minimum budget needed for a user to participate is provided. The large population regime is also investigated and an appropriate company-to-user ratio is provided.
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