基于辅助函数思想的城市高压电网无功优化

Reactive Power Optimization based on Auxiliary Function Approach for Urban High Voltage Power Systems

无功优化问题是一个多约束、多变量的混合整数规划问题,它的变量有连续变量和离散变量,从而导致优化问题的求解变得十分复杂.鉴于补偿电容器组投切组数的离散特性,采用了简单实用的处理方式.构造一个表示电容器组投切状态的辅助函数,将离散变量转化为连续变量.最小化目标为由电能损耗和设备调节代价构成的综合费用.对于最优问题的求解,采用变尺度法.所提算法在一个算例上进行了分析验证.

Reactive power optimization problem is a multi-bound, multi-variable mixed integer programming problem, and the operating variables include continuous and discrete variables, so the optimization problem becomes complex. In view of the discrete characteristics of and compensation capacitor sets, this paper adopts a simple and practical approach, an auxiliary function is structured to express the input or withdrawal of capac- itor sets. This method transforms discrete variables into continuous variables. The optimal objective is to mini- mize the competitive expenses of power loss and the cost of equipment regulation. Variable metric algorithm is adopted to solve the optimal problem. Proposed approach is examined on one system; computed results provide the active power losses and capacitor states. The proposed approach is examined in one testing system.