最小化能量损耗的配电网络动态无功优化算法

提出了一种完整的配电网络非线性混合整数动态无功优化模型及数学优化算法.该模型以全天能量损耗最小为目标,其约束条件不仅包括了各个时间断面的等式和不等式约束,而且还包括了有载调压变压器分接头和可投切并联电容器组的动作次数约束.为此,提出采用非线性原对偶内点法内嵌变量离散化罚函数的方法求解该模型,所推导出的高阶修正方程具有特殊的分块矩阵结构,可以充分利用稀疏处理技巧以提高算法的速度及对配电网络规模的适应性.最后以广州鹿鸣网配电系统作为算例,分析不同动作次数限制对配电网络电容器最优投切结果的影响,验证了该算法的正确性和有效性以及在限制控制设备动作次数方面取得的成功.

A Dynamic Reactive-power Optimization Algorithm for Power Distribution Network with Minimal Energy Loss

This paper presents an integrated mixed-integer/nonlinear dynamic reactive-power optimization model and algorithm for power distribution network.This model with the objective of minimal daily energy loss not only includes time-separated equality and inequality constraints,but also includes time-related inequality constraints,such as action number constraints of transformers with on-load tap changer and switchable shunt capacitor banks.The nonlinear primal-dual interior-point algorithm in which penalty functions for variable discretization are incorporated is applied in solving this model.In optimization process,the correction equation of higher order has a special block construction.The sparse technique can be used to improve the computing speed and adaptability of large scale systems.Furthermore,numerical example of Luming power network in Guangzhou,China is employed to analyze the effect of maximum allowable daily action number on dynamic optimization results,which verifies the accuracy and effectiveness of the algorithm.