配电网架结构和馈线截面同步优化模型与算法

Electricity Distribution Structure and Conductor Cross Sections Simulataneous Optimization Method

针对配电网络中网架结构和馈线截面的分步优化难以获得全局最优解的问题,重点研究了以用电节点为基础的配电网络布置与馈线截面同步优化整数遗传算法编码方法,基于供用电节点矩阵转换的线路路径自动识别方法和配电网络系统中功率、电压等约束的自动计算方法,并引入退火罚因子设计动态罚函数处理约束条件,建立了基于整数遗传算法的配电网络规划同步优化的数学模型,实现了配电网络规划中网架结构和馈线截面的同步优化。算例表明,该方法克服了分步式优化方法不易得到全局最优解的缺陷,可以快速有效地得到配电网络的网架结构和馈线截面规划全局优化方案。同时该方法对其他领域最小生成树问题的求解也有一定借鉴作用。

In the traditional optimization design of electricity distribution network, network sturcture and con duetor cross sections were optimized step by step,and can not get the global optimization scheme. An integer coding method based on a electricity node for network structure and conductor sections simultaneous optimization design was proposed. An automatical method for idectifying electricity flow route based on electricity node matrix transformation was deduced, and an automatically calculating program of electricity power and voltage of different nodes was developed. A dynamic penalty function was used to deal with the constrain conditions. Hence,an electricity distribution network structure and conductors cross sections simultaneous optimization model and its solution method based on integer code genetic algorithm were obtained. Two different electricity network examples,compared with optimized schemes based on traditional optimization method, show that the proposed model and algorithm can reduce electricity conductors cost of distrbution network,and can effectively get global optimization scheme of electricity distribution network. The method has a guiding role to other prob- lem with solving minimum spanning tree.