配电系统开关优化配置的混合整数线性规划模型

配电系统中的开关设备可以有效提高系统的运行可靠性,而开关的种类以及安装的位置对配电系统运行可靠性的影响有所不同。在此背景下,研究了计及可靠性的配电系统中开关优化配置策略。首先介绍了在不同预想故障条件下用户停电时间的计算方法。之后构建了以开关投资费用、运行维修费用和用户停电损失费用之和最小,以可靠性指标在给定阈值内为约束条件的开关优化配置模型。通过对用户停电损失函数线性化处理,将所提出的模型转换为混合整数线性模型,并通过高效商业求解器进行求解。最后,对IEEE RBTS-Bus 4系统和某实际中压配电系统进行测试分析,算例结果说明了所提出的模型与求解方法的基本特征。

Mixed Integer Linear Programming Model of Optimal Placement for Switching Devices in Distribution System

The switching devices in a distribution system can effectively improve the operational reliability of the system. The types of switching devices and their locations have great effects on the operational reliability of the distribution system. Given this background, the optimal placement strategy for switching devices is addressed taken the reliability indices into consideration. Firstly, the method of calculating the customers'' failure time under different contingencies is proposed. Subsequently, an optimal placement model for switching devices is presented to minimize the sum of investment cost, the operation and maintenance cost, as well as interruption cost of customers considering two reliability indices within tolerable thresholds respectively. Secondly, the proposed model is transformed into a mixed integer linear programming model by linearizing the interruption cost function, and then solved efficiently by commercial solvers. Finally, the proposed method is tested with the IEEE RBTS-Bus 4 distribution power system and an actual medium voltage distribution network. Simulation results illustrate the basic characteristics of the presented model and solving method.