基于全纯嵌入的电力系统计算与仿真研究综述OA
Review on Holomorphic Embedding-based Methods for Power System Calculation and Simulation
电力系统的静态计算与动态仿真在规划、运行和稳定性评估中具有重要意义.传统迭代型潮流算法存在初值依赖、矩阵奇异等问题,并可能收敛至不可运行解.针对这一问题,基于复分析理论的全纯嵌入法被提出.该方法将潮流方程转化为关于复变量的复数方程,实现了无初值依赖、非迭代的递归式潮流求解,益受到国内外学术界与工程界的关注.此外,全纯嵌入法还可用于求解微分代数方程组,支持电力系统的快速机电暂态仿真.该文分别以静态计算与动态仿真为切入点,综述全纯嵌入法在电力系统中的理论基础与应用进展.首先,简要介绍其基本原理与解析延拓方法,并总结主流的全纯嵌入形式;其次,系统梳理该方法在潮流计算、电压稳定裕度评估、不确定性潮流分析、最优潮流及动态仿真等不同应用场景中的最新研究成果;最后,分析其在收敛性与计算效率方面面临的主要挑战,并结合新型电力系统的发展需求,对未来研究方向进行展望.
Static analysis and dynamic simulation play vital roles in the planning,operation,and stability assessment of power systems.Traditional iterative power flow algorithms suffer from issues including dependence on initial values,singular matrices,and potential convergence to non-operational solutions.To address these challenges,the holomorphic embedding method(HEM),based on complex analysis theory,has been proposed.This method transforms power flow equations into complex equations with respect to a complex variable,enabling a recursive,non-iterative power flow solution that is independent from initial values.As a result,it has attracted growing attention from both academia and industry worldwide.In addition,the HEM can also be applied to solve differential-algebraic equation systems,supporting fast electromechanical transient simulation of power systems.To this end,this paper reviews the theoretical foundations and recent advances of HEM in power systems,focusing on both static analysis and dynamic simulation.First,the basic principles and analytic continuation techniques of HEM are briefly introduced,along with a summary of the mainstream holomorphic embedding formulations.Then,the latest research progress is systematically reviewed across various application scenarios,including power flow analysis,voltage stability margin assessment,probabilistic power flow analysis,optimal power flow,and dynamic simulation.Finally,the key challenges related to convergence and computational efficiency are discussed,and future research directions are proposed in light of emerging requirements of new-type power systems.
刘承锡;何再雨;罗永建
交直流智能配电网湖北省工程中心(武汉大学电气与自动化学院),湖北省武汉市 430072交直流智能配电网湖北省工程中心(武汉大学电气与自动化学院),湖北省武汉市 430072交直流智能配电网湖北省工程中心(武汉大学电气与自动化学院),湖北省武汉市 430072
信息技术与安全科学
全纯嵌入解析延拓潮流计算电压稳定评估动态仿真
holomorphic embeddinganalytical continuationpower flowvoltage stability assessmentdynamic simulation
《中国电机工程学报》 2026 (14)
5734-5754,中插4,22
智能电网国家科技重大专项项目(2025ZD0806501).Smart Grid-National Science and Technology Major Project(2025ZD0806501).
评论