配电系统无功电压优化控制的二次规划算法

A Quadratic Programming Approach to Optimal Reactive Power and Voltage Control in Distribution Systems

在配电系统中,通过适当的投切电容器和改变带负荷调压变压器分接头的档位,可以使系统在满足电压要求的前提下全网的能量损耗最小。然而,实际运行中要受到电容器投切次数和分接头档位变化总量的限制,否则将使开关和分接头寿命降低。对于这一无功电压优化控制问题,目前主要采用动态规划算法,但在规模较大的系统中将存在“维数灾”的问题。为此,本文针对配电系统的特点,将数学模型简化为一个二次规划问题,证明了它可以应用Lemke的线性互补规划算法在有限步内求得最优解。用26节点的配电系统作为算例,结果说明了所提方法的有效性和优点。

In distribution systems, the total energy losses can be minimized by proper switching the capacitors and changing the tap position of OLTC transformers while satisfying the voltage profile requirements. However, the total switching number of capacitors and tap changers will be restricted by considering their age limits. The existing approach for optimal reactive power and voltage control is based on dynamic programming, which is unsuitable for large systems. In this paper, the mathematics model is simplified to a quadratic programming by using the property of distribution system, the existence of solution is illustrated, and it can be obtained in finite steps by Lemke algorithm. The results of 26 bus system show the effectiveness and merits of the proposed method.