中国电机工程学报2026，Vol.46Issue(2)：532-544,中插7,14.DOI:10.13334/j.0258-8013.pcsee.241621
基于增广商梯度系统的鲁棒高效交流最优潮流算法
Robust and Efficient AC Optimal Power Flow Algorithm Based on Augmented Quotient Gradient Systems
摘要
Abstract
Due to the non-convex of the AC optimal power flow(OPF)problem,obtaining the optimal solution robustly and efficiently remains a challenge for AC OPF methods,and often encountering convergence issues.This paper proposes an augmented quotient gradient system(AQGS)method for computing optimal solutions of AC OPF.By introducing the nonlinear dynamic AQGS system,the solution of the OPF is transformed into the search for its regular stable equilibrium points.The theoretical results indicate the AQGS is globally asymptotically stable,which fundamentally addresses numerical convergence issues in the algorithm.From a computational perspective,the method exhibits superior convergence and computational efficiency in numerous cases,particularly in large-scale instances such as 1 888,4 661,and 13 659-bus systems,outperforming the IPOPT solver.The method achieves complete solution success across instances ranging from 2 to 13 659 buses.关键词
交流最优潮流/非线性动力学系统/最优解/稳定平衡点/收敛性Key words
AC optimal power flow(OPF)/nonlinear dynamic system/optimal solution/stable equilibrium point/convergence分类
信息技术与安全科学引用本文复制引用
王志远,李腾木,吕宪龙,刘志彬,王琦,江晓东..基于增广商梯度系统的鲁棒高效交流最优潮流算法[J].中国电机工程学报,2026,46(2):532-544,中插7,14.基金项目
国家自然科学基金项目(52407109) （52407109）
江苏省自然科学基金(BK20240593) （BK20240593）
江苏省高等学校基础科学(自然科学)项目(24K1B470018).Project Supported by National Natrual Science Foundation of China(52407109) （自然科学）
Natrual Science Foundation of Jiangsu Province(BK20240593) （BK20240593）
Higher Education Basic Science(Natural Science)Project of Jiangsu Province(24K1B470018)). （Natural Science）
