关键词: 两层优化模型, 粒子群优化算法, 报价策略

Abstract: The optimal quoted price function model for a power producers is a bi-level mathematical programming problem in which the upper optimization is to maximize the benefit whilst the lower one is to maximize the benefit model.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 quoted price functions for power producers.In addition，the result of the model proposed is compared with that of the deterministic approach，the IEEE 30-bus system has proved the feasibility of the proposed model.

Key words: bi-level optimization model, Particle Swarm Optimization（PSO）, bidding strategy