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Numerical Analysis of Power System Electromechanical and Electromagnetic Transients based on the Finite Element Technique

机译：基于有限元技术的电力系统机电瞬态数值分析

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摘要

This paper presents a novel technique for numerical analysis of electromagnetic transients and electromechanical oscillations in a power system. The proposed method is based on the finite element method (FEM). The finite element technique so far used for numerical analysis of continuum field problems here has been adopted to analyse electromagnetic and electromechanical transients in a power system. According to the finite element technique in the field problem, where the region of interest is divided into finite elements, in the proposed method power system is also divided into electric power system (finite) elements. Each finite element (generator, transformer, transmission line, load etc.) is characterized by a system of governing differential equations. Using generalized trapezoidal rule, also known as theta-method for time integration, the system of differential equations of each electric power system (finite) element can be transformed to the system of algebraic equations for every time step. Once when a system of algebraic equations of each electric power system element is obtained, assembly procedure has to be done. The main contribution of the proposed approach is in an assembly procedure. With the proposed approach, in case of any disturbances in power system or in a part of power system, nodal voltage and branch currents will be obtained, as well as all other interesting variables. The proposed method will be tested on the example of the single-phase short circuit in the power system.
机译：本文提出了一种用于电力系统中电磁瞬变和机电振荡数值分析的新技术。所提出的方法基于有限元方法（FEM）。到目前为止，这里已将用于连续场问题数值分析的有限元技术用于分析电力系统中的电磁和机电瞬变。根据现场问题中的有限元技术，将关注区域划分为有限元，在提出的方法中，电力系统也划分为电力系统（有限）要素。每个有限元（发电机，变压器，输电线路，负载等）都有一个控制微分方程的系统。使用广义梯形法则（也称为时间积分方法），可以将每个电力系统（有限）元素的微分方程组在每个时间步长转换为代数方程组。一旦获得了每个电力系统元件的代数方程组，就必须完成组装程序。提议的方法的主要贡献在于组装过程。利用所提出的方法，在电力系统或电力系统的一部分受到干扰的情况下，将获得节点电压和支路电流以及所有其他有趣的变量。所提出的方法将以电力系统中的单相短路为例进行测试。

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