基于奇异值分解的电网潮流转移模式研究

针对电网潮流转移场景下支路传输功率和电网节点注入功率之间的关联作用关系，提出了一种分析节点注入功率模式的方法。根据支路传输功率和电网节点注入功率之间的关联作用关系矩阵，利用矩阵奇异值分解，将节点注入功率分解为各种模式；在此基础上，进一步分析节点注入功率的各种模式的表现形式并进行算例分析。算例分析初步表明，在节点注入功率模式的各种表现形式中，比较常见的是以部分奇异值为主导的作用模式，在实际分析和处理中，把握这样的主导模式，将有利于进一步的分析和预防潮流转移引起的不利后果。

Research on the mode of power flow transfer in power network based on singular value decomposition

To deal with the relationship between the transmission power of branches and the nodal injection power in power network in the scenario of power flow transfer, a method of analysing the mode of nodal injection power was proposed. Based on the correlation between branch transmission power and the nodal injection power, the singular value decomposition of the matrix was employed to decompose the nodal injection power into a variety of modes. The performance of the modes of nodal injection power was analysed and some numerical examples were examined. The analysis indicates that among the modes of the nodal injection power, the mode in which partial singular values take dominant roles is more common. In the process of actual analysis and management, it is helpful to master the dominant modes to prevent the adverse consequences of the power flow transfer.