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内蒙古自治区呼和浩特市赛罕区大学西街235号 邮编: 010021
作者机构:Xi An Jiao Tong Univ Sch Elect Engn Xian 710049 Shaanxi Peoples R China IIT Dept Elect & Comp Engn Chicago IL 60616 USA Kunming Univ Sci & Technol Sch Elect Engn Kunming 650500 Yunnan Peoples R China
出 版 物:《IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING》 (IEEE Trans. Autom. Sci. Eng.)
年 卷 期:2025年第22卷
页 面:10118-10129页
核心收录:
学科分类:0808[工学-电气工程] 08[工学] 0811[工学-控制科学与工程]
基 金:National Natural Science Foundation of China Natural Science Foundation of Shaanxi Province [2022JC-19] Natural Science Foundation of Shaanxi Province
主 题:Reactive power Programming Vectors Voltage control Optimization Load flow Computational modeling Static VAr compensators Regulators MISO Reactive power optimization active distribution network three-phase unbalance nonuniform voltage regulator mixed-integer second-order cone programming
摘 要:Reactive power optimization (RPO) is a key task in the operation and control of active distribution networks (ADNs). The nonlinear power flow constraints and the integers introduced by voltage regulator (VR) constraints make the nonconvex RPO model difficult to solve. In this paper, a RPO model is proposed considering the nonuniform tap ratios of VRs. The three phases in VRs are independently controlled and the phase coupling effects are strictly considered. Moreover, to deal with the bilinear relationship among continuous complex voltage phasors and discrete tap ratios, the voltage phasor matrix is decoupled into real and imaginary parts, and a status variable method is proposed to exactly linearize the bilinear terms. Further, the nonlinear power flow constraints are relaxed to a set of second-order cone constraints without neglecting the coupling effect among the three phases and are proved to be equivalent to the semi-definite constraints, which does not require the rank-1 verification and is more efficient and scalable. Thus, the original nonconvex RPO for three-phase unbalanced ADNs is simplified to a mixed-integer second-order cone programming (MISOCP) model. Case studies validate the model s effectiveness, and the computational efficiency meets practical requirements. Note to Practitioners-This paper simplifies the complex problem of reactive power optimization for active distribution networks with unbalanced three-phase power flows. We offer a novel RPO model improving the typically nonconvex and nonlinear optimal power flow problem, and addressing the particular challenges imposed by voltage regulators optimization with nonuniform tap ratios. Independent control of the VR phases and accurate incorporation of phase coupling effects have been realized, greatly simplifying the optimization process. The transformation of nonlinear power flow constraints into a computationally efficient set of second-order cone constraints eliminates the need for cumbersome ran