基于蒙特卡罗法对多目标配电网最优无功优化的可靠性分析

Reliability Analysis of Optimal Reactive Power Optimization in Multi-Objective Distribution Network Based on Monte Carlo Method

多目标(Multi-Objective,MO)无功优化调度(Optimal Reactive Power Dispatch,ORPD)是一个复杂的非线性多变量规划问题。文章采用蒙特卡罗法(MCM)对ORPD问题中的负荷不确定性进行建模,以实际功率损耗和电压偏差最小化为目标函数,使用混合整数非线性规划来解决提出MO-ORPD概率问题。并以发电机母线电压、变压器的分接比和无功功率补偿为控制变量,在IEEE30节点测试系统上进行测试,其结果验证了蒙特卡罗模型对MO-ORPD概率问题的适用性与可靠性。

Multi-objective(MO)Optimal Reactive Power Dispatch(ORPD)is a complex nonlinear multivariable programming problem.In this paper,the Monte Carlo method(MCM)is used for modeling of load uncertainties in the ORPD problem.The objective function is minimization of active power losses and voltage deviations,and the MO-ORPD probability problem is solved by using mixed integer nonlinear programming.Taking the generator bus voltage,transformer tap ratio and reactive power compensation as control variables,the test was performed on an IEEE 30-bus test system.The results verified the applicability and reliability of the Monte Carlo model to MO-ORPD probability problems.