Relaxing Complementarity Constraints of Energy Storage with Feasibility and Optimality Guarantees

Wei Lin, C. Y. Chung, Changhong Zhao

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

The fast development of energy storage is attracting attention in storage-concerned power system optimization. The complementarity constraints of energy storage introduce non-convexity, which increases the complexity of power system optimization. To circumvent such non-convexity, this paper studies the relaxation for the inherent fulfillment of complementarity constraints in general storage-concerned power system optimization. This paper first develops a linear constraint to replace the complementarity constraint in the original optimization problem. It is proven that the resulting solution can be recovered to a feasible solution of the original problem. Backed by the previous feasibility guarantee, this paper further studies the ex-ante sufficient conditions with which the optimality of the original problem will not be affected under the relaxation of complementarity constraints. Numerical experiments in five transmission and distribution systems, including four IEEE test systems and one utility system, verify the effectiveness of the proposed method.

Original languageEnglish
Title of host publication2023 IEEE Power and Energy Society General Meeting, PESGM 2023
PublisherIEEE Computer Society
ISBN (Electronic)9781665464413
DOIs
Publication statusPublished - Sept 2023
Event2023 IEEE Power and Energy Society General Meeting, PESGM 2023 - Orlando, United States
Duration: 16 Jul 202320 Jul 2023

Publication series

NameIEEE Power and Energy Society General Meeting
Volume2023-July
ISSN (Print)1944-9925
ISSN (Electronic)1944-9933

Conference

Conference2023 IEEE Power and Energy Society General Meeting, PESGM 2023
Country/TerritoryUnited States
CityOrlando
Period16/07/2320/07/23

Keywords

  • energy storage
  • feasibility and optimality guarantees
  • Power system optimization
  • relaxation of complementarity constraints

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

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