基于原对偶内点法的新能源配电网无功优化模型

Reactive Power Optimization Model for Distribution Networks with Renewable En-ergy Based on Primal-Dual Interior Point Algorithm

摘要: 分布式电源出力的随机性与波动性使得配电网系统的潮流分布和电能质量等方面受到了重大影响。考虑到配电网电压波动等问题，在复杂的非线性规划问题的基础上，提出一种解决含分布式电源配电网无功优化问题的二阶锥规划方法，以达到调节电压水平、提高电能质量和降低系统损耗的目的。该方法首先将电力系统各节点电压偏差、电源有功和无功出力的上下界作为约束条件，以分布式电源的接入位置和接入容量作为决策变量，建立以电力系统损耗期望值最小为目标的SOCP模型，并采用现代原对偶内点算法加以求解。通过IEEE14节点系统的计算结果，验证了所提模型与方法的有效性和可行性。

Abstract: The uncertainty of the distributed power supply’s output has a major impact on the voltage fluc-tuation of power system, the power flow distribution and the power quality. Considering the problems such as the voltage fluctuation of distribution network and the over limit, for the pur-pose of regulating the voltage, improving the power quality and decreasing the system loss, a new method named second-order cone programming method proposed in this article can solve the reactive power optimization problem based on complex nonlinear programming problem in distribution network which includes the distributed power supply. Firstly, the new method which takes the voltage deviation of each node in power system and the distributed power supply’s output limit as constraints and takes the access location and the access capacity as decision variable establishes power system SOCP model aimed at minimizing the loss of power system. Then the article solves the problem using Modern primal dual interior point algorithm. The validity and feasibility of the proposed model and method are verified by the calculation results of IEEE14 system. It also shows that the method has high computational efficiency and feasibility.