基于Pareto最优的电力系统有功-无功综合优化

Active/Reactive Power Coordinated Optimization of Power System Based on Pareto Optimality

针对纯粹依据能耗或成本指标进行发电调度的不合理性,以系统总发电成本最小和电网有功损耗最小为目标函数,建立了电力系统综合节能降耗的有功-无功协调优化模型。借助λ乘子把多目标优化问题转化为单目标优化问题,通过对Pareto最优前沿集上综合效益最优解的定义,求解λ乘子的最优值,同时还提出了λ的近似求解方法以及有网损率约束情况下λ值的求解方法,可以为协调系统总发电成本与电网有功损耗之间的矛盾、省级电力调度部门从传统发电调度模式转变为节能发电调度模式提供参考。通过IEEE 30和IEEE 57节点系统的算例分析表明了所建模型和算法的有效性。

Considering limitation of taking energy consumption or cost index as the unique objective of power dispatch, this paper proposes an active/reactive coordinated optimization model for comprehensive energy saving of power system. In this model, the objective function is to minimize the total power generation cost and active power loss. By multiplier method, the multi-objective optimization problem is transformed into a single-objective one. According to the definition of optimal comprehensive benefits solution on Pareto optimal front set, the optimal solution of multiplier is obtained. For the proposed model, an approximate solution method and a method to deal with a system with network loss rate constraint are presented as well. This method provides reference for coordinating the conflict between total power generation cost and active power loss, and also for provincial power dispatch to transfer from traditional generation dispatching model to energy-saving generation dispatching model. Results of cases study on IEEE 30-bus and IEEE 57-bus systems validate the proposed model and algorithm.