基于增广商梯度系统的鲁棒高效交流最优潮流算法OA

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.