Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters

Hongyuan Liang; Zhigang Li; J. H. Zheng; Q. H. Wu

doi:10.17775/CSEEJPES.2022.05250

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Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters

Regular Papers | 更新时间：2026-10-15

- Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters
- Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters
- 中国电机工程学会电力与能源系统学报(英文) 2024年10卷第2期页码：617-628
- 作者机构：
  
  School of Electric Power Engineering, South China University of Technology,Guangzhou,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2022.05250
  中图分类号：
- 纸质出版：2024-03-01
- 稿件说明：
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Hongyuan Liang, Zhigang Li, J. H. Zheng, 等. Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(2):617-628.

Hongyuan Liang, Zhigang Li, J. H. Zheng, et al. Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters[J]. CSEE Journal of Power and Energy Systems, 2024, 10(2): 617-628.
Hongyuan Liang, Zhigang Li, J. H. Zheng, 等. Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(2):617-628. DOI： 10.17775/CSEEJPES.2022.05250.

Hongyuan Liang, Zhigang Li, J. H. Zheng, et al. Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters[J]. CSEE Journal of Power and Energy Systems, 2024, 10(2): 617-628. DOI： 10.17775/CSEEJPES.2022.05250.

摘要

Abstract

Line-commutated converter (LCC)-based high-voltage DC (HVDC) systems have been integrated with bulk AC power grids for interregional transmission of renewable power. The nonlinear LCC model brings additional nonconvexity to optimal power flow (OPF) of hybrid AC-DC power grids. A convexification method for the LCC station model could address such nonconvexity but has rarely been discussed. We devise an equivalent reformulation for classical LCC station models that facilitates second-order cone convex relaxation for the OPF of LCC-based AC-DC power grids. We also propose sufficient conditions for exactness of convex relaxation with its proof. Equivalence of the proposed LCC station models and properties

exactness

and effectiveness of convex relaxation are verified using four numerical simulations. Simulation results demonstrate a globally optimal solution of the original OPF can be efficiently obtained from relaxed model.

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