基于简化导纳矩阵的快速频率响应分析方法

Fast Frequency Response Analysis Based on Reduced Admittance Matrix

随着电压等级的提高及大容量机组的投用,单一故障引起大规模功率缺失时,频率动态变化过程和空间分布特性会更加显著,已有基于潮流计算的频率动态响应分析方法效率受系统规模约束较大。为解决该问题,提出了一种基于简化导纳矩阵的频率响应快速分析方法（FRM）。通过消去负荷节点,将系统导纳矩阵予以简化,采用简化导纳矩阵直接计算功率在机组间的振荡过程和频率的动态变化过程。仿真分析表明,该方法能有效反映机组分布特性对频率的影响,以及系统频率与有功之间的变化关系;且在相同的计算精度前提下,简化了计算过程并提升了计算速度约10倍,适用于长时间动态频率分析。

With the increasing level of power line voltage and the use of large-capacity units, the frequency dynamic process and spatial distribution characteristics will be more significant under large-scale power loss. Frequency analysis by the power flow method is mainly limited by power system scale. Based on the analysis of existing frequency dynamic models, a newmethod of fast response analysis（FRM） based on reduced admittance matrix is proposed. This method simplifies the system admittance matrix by eliminating the load nodes, and uses the simplified admittance matrix to directly compute the power oscillation process between units and dynamic change process of frequency. Simulation results of two test systems show that the FRM can reflect the influences of the units distribution feature on frequency and the relationship between the active power and frequency effectively. The calculation speed of FRM achieves ten times faster under the same calculation accuracy. It can be used for long-time frequency analysis in large-scale power system.