Speed-up of power system transient stability analysis by modal method

1.模态分析技术的改进：开发了用于电力系统小干扰稳定性分析的线性微分方程的有效获取重要模态（特征值和特征向量）的技术。对S方法部分的模态分析采用Lanczos方法，但通过改进并将其与Lanczos方法结合使用，大大提高了特征值的分析精度。此外，通过对系统进行划分的方式，解决了单个划分系统的问题，加快了大系统特征值分析的速度，提出了一种快速、高精度地获取特征值的方法.高速数值积分的发展：实现了转捩稳定性计算中积分计算的大幅度加速。在每一步积分中计算特征值，试图提高计算精度， ...更多信息 在部分线性近似的高速计算中，检验了精度提高的效果，并获得了良好的结果。针对过渡稳定度分析程序（Y法）的主模型计算部分，编制了加速Y法的实验程序。所开发的程序功能已通过IEEJ标准模型WEST 10.验证，并测量了计算速度。与传统方法相比，该方法计算时间间隔可缩短10倍以上，计算速度提高5倍以上，但误差较小.电力系统暂态稳定分析的简化方法的发展：改进了暂态稳定分析的简化方法--能量函数法，采用部分线性近似法，高精度地计算了电力系统扰动后的振荡曲线。根据此近似振荡曲线计算了系统的势能。以一个发电机-无穷大系统为例进行了仿真计算，得到了较高精度的临界故障切除时间。少

1. The improvement of the mode analysis technique : The technique for efficiently obtaining important modes of the linear differential equation used for small signal stability analysis in the electric power system (eigenvalue and eigenvector) was developed. Analytical accuracy of the eigenvalue has been greatly improved by improving this and using a reverse-iteration method together with the Lanczos method, though the analysis of the mode of S method part uses the Lanczos method. Moreover, an individual division system was resolved in the mode by dividing the system to speed up the analysis of the eigenvalue in a large-scale system and the method of obtaining the eigenvalue in high-speed and high accuracy was developed.2. The development of high-speed numerical integration : Great speed-up of the integration calculation in the transition stability calculation was achieved. The eigenvalue was calculated in each step of integration to attempt the improvement of the calculation accuracy i … More n a high-speed calculation by a partial linear approximation, the effect of the accuracy improvement was examined, and an excellent result was obtained. Moreover, an experimental program of speed-up Y method was made about the main model calculation part of the transition stability level analysis program (Y method). The function of the developed program was verified by IEEJ standard model WEST10., and the calculation speed was measured. The time interval of the calculation was able to be made ten times or more, and five times or more speed-up were achieved compared with the conventional method, though the error margin occurred a little in this technique.3. The development of simple method for transient stability: The energy function method that was a simple method for transient stability was improved The oscillating curve in the electric power system after the disturbance were calculated in high accuracy by using a partial linear approximation method. The potential energy of the system is calculated according to this approximation oscillating curve. The simulation was done in one generator-infinite bus system and the critical fault clearing time were calculated with high accuracy. Less