基于动态分岔机制的交流最优潮流解质量提升方法

刘睿敏; 王志远; 王琦; 王鹏; 刁其先; 王梦雪

doi:10.12204/j.issn.1000-7229.2026.11.003

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电力建设 ›› 2026, Vol. 47 ›› Issue (11) : 30-45. DOI: 10.12204/j.issn.1000-7229.2026.11.003

规划建设

基于动态分岔机制的交流最优潮流解质量提升方法

刘睿敏 ¹ ,
王志远 ¹ ,
王琦 ¹ ,
王鹏 ¹ ,
刁其先 ² ,
王梦雪 ²

作者信息 +

A Dynamic Bifurcation-Based Method for Improving Solution Quality in Alternating-Current Optimal Power Flow

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文章历史 +

摘要

【目的】针对交流最优潮流（alternating-current optimal power flow，AC-OPF）问题中局部优化搜索方法通常只能收敛到局部最优解，难以进一步获得更高质量可行解的问题，本文提出了一种能够从已获得局部最优解中确定性逃逸并继续搜索更优解的方法。【方法】提出一种基于增广商梯度系统（augmented quotient gradient system，AQGS）分岔行为的最优解搜索方法（AQGS bifurcation-based superior solution search method，ABS）。通过分析AC-OPF问题中次优解对应稳定平衡点的分岔消失机制，揭示罚因子调节对AQGS平衡点结构的影响；进一步利用稳定平衡点与type-1不稳定平衡点之间的鞍结分岔，使当前局部最优解对应的稳定平衡点消失，从而引导系统轨迹收敛至新的最优解。【结果】在2、3、9和300节点多解测试系统上对所提方法进行了验证，结果表明，ABS均能够从给定局部最优解出发获得目标函数值更低的可行局部最优解，各系统最大目标函数改善幅度分别为2.92%、0.21%、27.60%和2.46%。【结论】所提ABS方法利用AQGS的分岔行为实现了局部最优解的确定性逃逸与解质量改进，为AC-OPF多解搜索和局部最优解改进提供了一种新的分析思路与计算方法，验证了其在复杂多解潮流优化问题中的有效性。

Abstract

[Objective] To address the limitation that local optimization search methods for alternating-current optimal power flow （AC-OPF） generally converge only to local optima and struggle to obtain higher-quality feasible solutions， this paper investigates a method that can deterministically escape from an obtained local optimum and continue searching for better solutions. [Methods] An augmented quotient gradient system （AQGS） bifurcation-based superior solution search method （ABS） was proposed based on the bifurcation behavior of the AQGS. By analyzing the bifurcation-induced disappearance mechanism of stable equilibrium points corresponding to suboptimal solutions in AC-OPF， this study revealed the influence of penalty-parameter adjustment on the equilibrium-point structure of the AQGS. Furthermore， the saddle-node bifurcation between a stable equilibrium point and a type-1 unstable equilibrium point was exploited to eliminate the stable equilibrium point corresponding to the current local optimum， thereby guiding the system trajectory to converge to a new optimal solution. [Results] The proposed method was validated on multi-solution test systems with 2， 3， 9， and 300 buses. Numerical results show that ABS successfully obtains feasible local optima with lower objective function values from given local optima in all tested cases， achieving maximum objective-function improvements of 2.92%， 0.21%， 27.60%， and 2.46%， respectively. [Conclusions] The proposed ABS method uses the bifurcation behavior of the AQGS to achieve deterministic escape from local optima and improve solution quality. It provides a new analytical perspective and computational method for multi-solution search and local optimum improvement in AC-OPF， verifying its effectiveness in complex multi-solution power flow optimization problems.

导出引用

刘睿敏, 王志远, 王琦, 等. 基于动态分岔机制的交流最优潮流解质量提升方法[J]. 电力建设. 2026, 47(11): 30-45 https://doi.org/10.12204/j.issn.1000-7229.2026.11.003

LIU Ruimin, WANG Zhiyuan, WANG Qi, et al. A Dynamic Bifurcation-Based Method for Improving Solution Quality in Alternating-Current Optimal Power Flow[J]. Electric Power Construction. 2026, 47(11): 30-45 https://doi.org/10.12204/j.issn.1000-7229.2026.11.003

中图分类号： TM744

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利益冲突声明（Conflict of Interests）：

所有作者声明不存在利益冲突。

作者贡献声明（Authors' Contributions）：

刘睿敏提出研究思路，建立研究模型，完成方法设计、程序开发、算例分析与结果验证，绘制图表并撰写、修改论文；王志远参与研究方案设计与理论分析，负责项目管理及经费支持，并对论文进行审阅和修改；王琦参与研究结果讨论与算例结果检验，对论文内容及技术表述进行审阅和修改；王鹏参与研究资料整理、算例设置及数据合理性分析，并对论文进行审阅；刁其先提供工程应用背景及相关技术资料，参与实际运行场景和研究结果合理性讨论，并对论文提出修改建议；王梦雪参与文献资料收集、数据整理及图表校核，协助完成论文格式检查和文字修改。所有作者均阅读并同意了论文最终稿内容。