A Multi-parametric Programming Based Analytic Method to Compute Consumer Offer Curve for Reserves

doi:10.35833/MPCE.2020.000353

Home > Archive>Volume 10, Issue 2, 2022 >542-546. DOI:10.35833/MPCE.2020.000353

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A Multi-parametric Programming Based Analytic Method to Compute Consumer Offer Curve for Reserves

DOI:

10.35833/MPCE.2020.000353

Author:

Weiye Zheng ^{^1,2}
Weiye Zheng
School of Electrical Power Engineering, South China University of Technology, Guangzhou, China;Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China
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David J. Hill ^²
David J. Hill
Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China
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Wenchuan Wu ^³
Wenchuan Wu
Department of Electrical Engineering, Tsinghua University, Beijing, China
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Affiliation:

1.School of Electrical Power Engineering, South China University of Technology, Guangzhou, China;2.Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China;3.Department of Electrical Engineering, Tsinghua University, Beijing, China

Fund Project:

This work was supported in part by General Research Fund (No. 17209419), in part by the National Science Foundation of China (No. 51725703), and in part by State Key Laboratory of Power System and Generation Equipment (No. SKLD20M06).

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Abstract:

An analytic method is proposed to compute the price-reserve offer curve at the consumer level in hierarchical direct load control. The convexification of the consumer reserve provision is examined, and the analytic expression of the optimal solution within each critical region is derived. Then, based on multi-parametric programming, a combinatorial enumeration method in conjunction with efficient reduction and pruning strategy is proposed to compute the optimal response of consumers in the whole price space. Numerical tests along with an application example in the bi-level aggregator pricing problem demonstrate the merit of this method.

Key words:Direct load control ; multi-parametric programming ; price-reserve offer curve ; analytic solution

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Received:June 05,2020
Revised:September 17,2020
Adopted:
Online: March 30,2022
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