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

作　　者：Hongyuan Liang Zhigang Li J.H.Zheng Q.H.Wu 

机构地区：[1]School of Electric Power Engineering,South China University of Technology,Guangzhou 510641,China

出　　处：《CSEE Journal of Power and Energy Systems》2024年第2期617-628,共12页中国电机工程学会电力与能源系统学报（英文）

基　　金：supported by the National Natural Science Foundation of China under Grant 52177086;the Fundamental Research Funds for the Central Universities under Grant 2023ZYGXZR063;the Science and Technology Program of Guizhou Power Grid Coorperation under Grant GZKJXM20222386.

摘　　要：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.

关 键 词：AC-DC power system convex relaxation linecommutated converter optimal power flow second-order cone programming 

分 类 号：TM761.12[电气工程—电力系统及自动化]