Analysis and control of demand response in smart grids: An evolutionary game method

Mengyu Zhou, Xingwen Liu, Qi Hu and Feng Shu

Applied Mathematics and Computation, 2025, vol. 488, issue C

Abstract: As an effective strategy for load management in smart grids, demand response establishes a bidirectional connection between the electricity supplier and users. Based on the networked evolutionary game theory, this paper studies the demand-response issue for a class of smart grids by using the semi-tensor product of matrices. The paper proceeds as follows. (i) Considering the dynamic interactions between the supplier and users, the demand response is modeled as a heterogeneous networked evolutionary game and is expressed as dynamical form by semi-tensor product. (ii) A sufficient and necessary condition is provided to verify the convergence to a fixed point of the considered system. (iii) A feedback controller is designed to ensure the system electricity consumption and price to maintain at a desired level. Finally, an example is presented to illustrate the feasibility of the proposed method.

Keywords: Demand response; Feedback control; Networked evolutionary games; Semi-tensor product; Smart grids (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:488:y:2025:i:c:s0096300324005915

DOI: 10.1016/j.amc.2024.129130

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