基于节点耦合关系解析的无功电压递归切割分区方法

A Recursive Network Partitioning Method for Reactive Power/Voltage Control Based on the Analysis of Node Coupling Relationships

合理的无功电压分区是确保电网安全运行和电压稳定的前提条件,为此,提出一种新的无功电压递归切割分区方法。基于网络阻抗矩阵方程,对节点间的耦合关系进行解析,给出了电源节点间的耦合关系表达式和电源节点对负荷节点的电压控制灵敏度指标。依据对节点耦合关系的识别,通过递归切割的方式将电网划分成若干分区。在每一递归切割分区过程,首先依据电源节点耦合关系将待分割区域内的所有电源节点分成两组,然后依据电源节点对负荷节点的电压控制灵敏度指标将待分割区域内的负荷节点映射到相应的电源节点分区。最后讨论了分区过程的中止条件判定问题,并通过IEEE 118节点系统和实际电网系统对所提方法进行了算例分析。仿真结果验证了所提方法的有效性。

Reasonable network partitioning is an important premise for power system security and voltage stability. Therefore this paper proposed a novel recursive network partitioning method for reactive power and voltage control. Based on the network impedance matrix equation, the coupling relationships among nodes were analyzed, and two analytical expressions were derived to represent the coupling relationships among source buses and the voltage control sensitivities of sources to loads, respectively. According to the identification of node coupling relationships, power network could be divided to a set of zones by using the proposed recursive network partitioning technique. For each recursive network partitioning process, all source buses in the present zone were divided into two groups by using the coupling matrix among source buses, and then the related load buses were mapped to the corresponding source group by using the sensitivity matrix of sources to loads. At last, the stopping criterion of the network partitioning process was discussed, and case studies were conducted on the IEEE 118-bus test system and an actual power system. The results verified the effectiveness of the proposed methods.