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Real-time peak-demand minimization with energy storage using competitive ratio

Yanfang Mo*, Qiulin Lin, Minghua Chen*, S. Joe Qin

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

This paper studies minimizing the peak demand for large-load users with energy storage by making irrevocable storage-consuming decisions with unknown future demands in a daily on-peak horizon. We use competitive analysis to optimize online decision-making for robustness and fairness over all possible input sequences. The best competitive ratio (CR) for the online problem is computed by solving a linear number of linear-fractional programs and used to obtain an optimal online strategy, which is a static feedback policy affine over a synthetic state. Further, we generalize the concept of CR to shrinking-horizon CRs in response to real-time inputs and decisions. Accordingly, a real-time optimal online algorithm is developed to achieve the rolling-optimized shrinking-horizon CRs. This algorithm is a dynamic feedback policy, retains the global optimal worst-case performance, and improves the general-case performance. Trace-driven simulations show that the real-time optimal algorithm can significantly decrease the peak demand compared to baseline alternatives under typical settings. © 2025 Elsevier Ltd.
Original languageEnglish
Article number112687
Number of pages10
JournalAutomatica
Volume184
Online published14 Nov 2025
DOIs
Publication statusPublished - Feb 2026

Funding

The work was supported in part by the Research Grants Council (RGC) of Hong Kong under the General Research Fund (Project Nos. 16206324 , 11206821 , 11303421 , 13300525 ), the Research Impact Fund (Project No. 130272 ), and the Collaborative Research Fund (Project No. C1049-24G ); by the Laboratory for AI-Powered Financial Technologies under an InnoHK initiative of the HKSAR; by a Shenzhen-Hong Kong-Macau Science & Technology Project (Category C, Project No. SGDX20220530111203026 ); by a Start-up Research Grant (Project No. UDF01004086 ) from The Chinese University of Hong Kong, Shenzhen ; and by the grant DR25E7 from Lingnan University.

Research Keywords

  • Demand response
  • Optimization under uncertainties
  • Receding horizon control
  • Resource allocation

RGC Funding Information

  • RGC-funded

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