基于粒子群算法求解电力市场发电商最优供给函数模型

发电商最优供给函数是一个两层优化问题，其中上层是发电商生产效益最大化问题，下层是基于最优潮流的市场最优化调度问题。启发式算法由于简单易行，最优解具有全局性，与初始点选择无关。因此是解决这类问题的一个良好选择。文中运用启发式粒子群优化算法（PSO）求解发电商生产效益两层优化问题，以获得发电商最优供给函数，与确定性方法的计算结果进行了比较，并对最优解的全局性和初始点选择进行了讨论。IEEE30节点6机系统验证了所提方法的有效性。

PSO Algorithm Based Optimal Supply Function Model for Power Producer

The optimal supply function model for a power producer is a bi-level mathematical programming problem in which the upper optimization is to maximize the producer's surplus whilst the lower one is to realize the market optimal dispatch based on optimal power flow. Thus the heuristic approach can be an alternative to solve the model above with simplicity and immune to the local optima. Particle swarm optimization (PSO) integrating with the heuristic approach is then presented in this paper to obtain the optimal supply functions for power producers. In addition, the result of the model proposed is compared with that of the deterministic approach, and the integrity of the optimal solutions is discussed as well as the selection of the starting point. The IEEE 30-bus system has proved the feasibility of the proposed model.