基于凝聚函数的电力系统经济负荷分配

摘要

经济负荷分配（Economic Load Dispatch，ELD）是提高电力系统运行经济性的重要措施之一。基于ELD优化问题一般数学模型，针对传统数学方法难以处理不可微非线性问题，借助于最大熵理论，利用其推导出的凝聚函数来处理不可微的约束条件，构建了基于凝聚函数的负荷经济分配优化模型，并采用光滑化的方法将所建立的模型转化为一般非线性优化问题，采用原对偶内点法进行求解。仿真结果表明：该算法能有效地处理不可微的非线性规划问题，在算法的计算效率以及目标优化的结果中显示出了优越性，为解决电力系统经济负荷分配问题提供了有效手段。%Economic load dispatch (ELD) is one of the important measures to improve the economy of power system operation. It’s difficult for the traditional mathematical methods to deal with nonlinear problems of non-differentiable. Based on analyzing ELD optimization general mathematical model, this paper builds ELD optimization model based on the aggregate function, with the aid of the maximum entropy principle, using the aggregate function to describe the non-differentiable constrains and using the smoothing method to transfer the established model into general nonlinear optimization problem, to utilize the primal-dual interior point method to solve it. The simulation result shows that the algorithm can effectively deal with the problem of nonlinear problems of non-differentiable, display the advantage in calculating efficiency and object optimization result, provide an effective method for ELD of power system.