基于多级高阶微分求积法的非线性电磁暂态快速仿真研究

为了提高电力系统电磁暂态数值计算速度,将微分求积法应用在电磁暂态仿真中,根据微分求积法中加权系数矩阵的V变换特点,提出了一种基于微分求积法的电磁暂态快速计算方法。所提算法将因引入内点而增维的矩阵进行分块处理,避免对增维矩阵直接求逆,利用分块矩阵的特点,将大规模矩阵的求逆计算转换为简单的前代运算以及小规模矩阵的求逆计算,从而提高了基于微分求积法的电磁暂态计算效率。算例表明,针对线性时变和非线性电力系统,本文算法均可以获得有效加速比。

Rapid simulation of nonlinear electromagnetic transient based on differential quadrature method

In order to improve the numerical calculation speed of electromagnetic transient of power system, differential quadrature method is applied to electromagnetic transient simulation, and according to the V transformation characteristics of weighted coefficient matrix in differential quadrature method, a fast electromagnetic transient calculation method based on differential quadrature method is proposed. In this paper, the matrix with increased dimension due to the introduction of interior points is partitioned to avoid the direct inverse of the matrix with increased dimension. By using the characteristics of block matrix, the inverse calculation of large-scale matrix is transformed into simple pre-generation operation and the inverse calculation of small-scale matrix, thus improving the efficiency of electromagnetic transient calculation based on differential quadrature method. Numerical examples show that the effective acceleration ratio can be obtained for linear time-varying or nonlinear power systems..