基于轨迹的最优潮流问题可行域计算方法

Trajectory-based Method for Computing Feasible Region of Optimal Power Flow Problems

可行域对最优潮流问题求解具有至关重要的作用,然而如何构造最优潮流问题的可行域是一个具有挑战性的问题。本文基于一种非线性动力学系统提出了一种可行域计算方法。在指定空间中,该方法从已知可行解出发不断寻找其周围位置上的可行解,直到全部等间隔的可行解被找到,从而实现可行域的计算。利用所提出方法,本文研究了一个9节点及一个118节点系统的可行域。通过观察,得到了最优潮流问题在中载条件下最好解的启发性结论,并验证了可行域在较大规模算例中的非凸性。

Feasible region plays an important role in solving the optimal power flow(OPF)problems.However,con⁃structing the feasible region of general OPF problems is a challenging task.In this paper,a method is developed to com⁃pute the feasible region of OPF problems based on a nonlinear dynamical system.Under the given space,this method continuously locates new feasible solutions from the known ones until all equal distanced feasible solutions are found,thus realizing the computation of the feasible region.Using this method,the feasible regions of a 9-bus and a 118-bus system are studied.Through the observation of feasible regions,it is concluded that the OPF problems are generally easy to solve under medium-loading conditions;in addition,the non-convexity of the feasible region for a large-scale numerical example is also testified.