Tracking Equilibrium Point under Real-Time Price-Based Residential Demand Response

  • Tao Ding
  • , Ming Qu
  • , Nima Amjady
  • , Fengyu Wang
  • , Rui Bo
  • , Mohammad Shahidehpour

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

This letter proposes a model for tracking the equilibrium point of the real-time locational marginal price (LMP) based residential demand response program, where elastic demand is modeled as a monotonously decreasing linear function of the LMP. The resulting bi-level model contains both primary and dual variables, making it difficult to solve. Using duality, the dual model is formulated as a convex quadratic problem which is tractable to solve and find the global optimum. Furthermore, the condition for the existence of the equilibrium point is given. Numerical results on the IEEE 30-bus system verifies the effectiveness of the demand response model.

Original languageEnglish
Article number9268957
Pages (from-to)2736-2740
Number of pages5
JournalIEEE Transactions on Smart Grid
Volume12
Issue number3
DOIs
StatePublished - May 2021

Keywords

  • bi-level optimization
  • demand response
  • equilibrium point
  • locational marginal price (LMP)
  • Security constrained economic dispatch (SCED)

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