Coordinated Expansion Planning for Multi-infeed LCC-HVDC Systems Considering Generalized Short-circuit Ratio Constraints

Liang Shao; Xiaoru Zhang; Yusheng Xue; Life; Zongqiang Zheng; Feng Xue; Fushuan Wen

doi:10.35833/MPCE.2025.000669

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Coordinated Expansion Planning for Multi-infeed LCC-HVDC Systems Considering Generalized Short-circuit Ratio Constraints

Original Paper | 更新时间：2026-09-28

- Coordinated Expansion Planning for Multi-infeed LCC-HVDC Systems Considering Generalized Short-circuit Ratio Constraints
- Journal of Modern Power Systems and Clean Energy Vol. 14, Issue 5, Pages: 1921-1932(2026)
- 作者机构：
  
  1.School of Electrical Engineering, Zhejiang University Hangzhou 310027, China
  2.Hainan Institute, Zhejiang University, Sanya 572000, China
  3.State Grid Electric Power Research Institute Co., Ltd. (NARI Group Corporation), Nanjing 210003, China
- 作者简介：
  
  Liang Shao received the B.E. degree in electrical engineering from Zhejiang University of Technology, Hangzhou, China, in 2023. He is currently working toward the Ph.D. degree from the College of Electrical Engineering, Zhejiang University, Hangzhou, China. His research interests include load forecasting and power system planning. Email:shaoliang@zju.edu.cn
  Xiaoru Zhang received the B.E. degree in electrical engineering and automation from Shandong University, Jinan, China, in 2024. She is currently pursuing the Ph.D. degree with the College of Electrical Engineering, Zhejiang University, Hangzhou, China. Her research interests include mechanism design of joint energy and ancillary service market, and economic operation of modern power system. Email:zhangxiaoru@zju.edu.cn
  Yusheng Xue received the B.E. degree from Shandong University, Jinan, China, in 1963, the M.S. degree from the State Grid Electric Power Research Institute, Nanjing, China, in 1981, and the Ph.D. degree in electrical engineering from the University of Liège, Liège, Belgium, in 1987. He is currently the Honorary President of State Grid Electric Power Research Institute Co., Ltd. (NARI Group Corporation), Nanjing, China. His research interests include power system stability control, security, and economic operation, energy transition, and cyber-physical-social system for energy (CPSSE). Email:xueyusheng@sgepri.sgcc.com.cn
  Zongqiang Zheng
  Feng Xue received the B.E. degree from Shanghai Jiao Tong University, Shanghai, China, in 1992, the M.S. degree from the State Grid Electric Power Research Institute, Nanjing, China, in 1998, and the Ph.D. degree from the University of Bath, Bath, UK, in 2008. He is currently the Chief Expert of State Grid Electric Power Research Institute Co., Ltd. (NARI Group Corporation), Nanjing, China. His research interests include power system security and reliability, energy transition, and CPSSE. Email:xuefeng@sgepri.sgcc.com.cn
  Fushuan Wen received the B.E. and M.E. degrees in electrical engineering from Tianjin University, Tianjin, China, in 1985 and 1988, respectively, and the Ph.D. degree in electrical engineering from Zhejiang University, Hangzhou, China, in 1991. In 1991, he joined Zhejiang University as a Faculty Member with the School of Electrical Engineering, where he has been a Full Professor, since 1997. He has also been a Full Professor with the Hainan Institute, Zhejiang University, Sanya, China, since 2022. His research interests include power industry restructuring, power system alarm processing, fault diagnosis and restoration, smart grid, and electric vehicle. Email:fushuan.wen@gmail.com
- 基金信息：
- DOI：10.35833/MPCE.2025.000669
  CLC：
- Received：21 July 2025，
  
  Revised：2025-11-03，
  
  Accepted：03 March 2026，
  
  Online First：01 April 2026，
  
  Published：15 September 2026
- 稿件说明：
移动端阅览
Shao Liang,Zhang Xiaoru,Xue Yusheng,et al.Coordinated Expansion Planning for Multi-infeed LCC-HVDC Systems Considering Generalized Short-circuit Ratio Constraints[J].Journal of Modern Power Systems and Clean Energy,2026,14(05):1921-1932.
DOI：

Shao Liang,Zhang Xiaoru,Xue Yusheng,et al.Coordinated Expansion Planning for Multi-infeed LCC-HVDC Systems Considering Generalized Short-circuit Ratio Constraints[J].Journal of Modern Power Systems and Clean Energy,2026,14(05):1921-1932. DOI： 10.35833/MPCE.2025.000669.

摘要

Abstract

Line-commutated converter based high-voltage direct current (LCC-HVDC) systems may diminish the power grid strength

potentially precipitating static voltage stability issues. To maintain the required level of power grid strength while minimizing the total system cost

this paper proposes a coordinated expansion planning framework for multi-infeed LCC-HVDC (MI-HVDC) systems that explicitly incorporates generalized short-circuit ratio (gSCR) constraints. Specifically

the gSCR requirement is innovatively formulated as a semidefinite constraint

and the proposed framework is reformulated as a mixed-integer semidefinite programming (MISDP) model to guarantee the global optimality. Then

to address the computational intractability of the MISDP model

a generalized Benders decomposition (GBD)-based approach is employed for efficient solution. Time-domain simulations conducted in PSCAD/EMTDC demonstrate the effectiveness of the proposed framework in enhancing the voltage stability of MI-HVDC systems.

关键词

Keywords

references

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