基于连续体模型的电力系统频率动态研究

针对电力系统连续体建模过程中发电机参数分配存在的复杂性较大的问题，提出了一种基于最短路径的连续体模型参数分配方法。该方法首先通过摇摆方程将传统离散系统连续化，并根据本文设计的算法计算得到存在扰动的发电机到剩余发电机的所有路径，选取扰动传播的最短路径，并将发电机惯性常数平均分配到各最短路径。每条最短路径上再采用高斯分配法将分配得到的参数进行再次分配，给出了参数分配过程中的准确表达式。通过对New England 10机39节点标准数据集进行算例仿真可知，从扰动源出发到各发电机的传播路径数量庞大，参数分配复杂度很大。通过选取各对应的9条最短路径进行参数分配，大大降低了参数分配的计算复杂度，同时使得对整个系统的分析和描述更加准确。

Study on Frequency Dynamic of Power System Based on Continuum Model

Aiming at the complexity in the parameter distribution in continuum modeling of the power system, a new approach of distributing parameters of generator based on shortest route was proposed. The traditional discrete system was computed through the swing equation at first, and the routes from generator in disturbance to other generators were computed through the proposed method in the paper. Then the shortest route was chosen to distribute the inertia parameter on average, and the distributed parameter of every shortest route was distributed by Gaussian smooth method. The accurate parameter distribution formula was given in the paper. And the standard data set of 10 generators and 39 nodes system of New England was computed through the proposed method, the results indicated that there are huge amount of routes form the disturbing source to other generators, which increased the difficulty of parameter distribution. The 9 shortest routes were chosen to distribute the parameter, which greatly reduced the difficulty of parameter distribution and made the analysis of power system more accurate.