基于多种数值分析方法的电压暂降凹陷域快速算法

提出一种基于数值分析理论的电压暂降凹陷域计算方法,该方法在暂降幅值解析计算式的基础上引入多种数值分析方法求解临界故障点。将临界故障点的确定简化为二次函数根的求解问题,并在满足计算准确性的前提下灵活采用不同的数值分析方法以达到更快收敛速度。该方法对于给定网络参数的系统广泛适用,与故障点法和单一数值解法的计算结果和算法性能的对比验证了所提方法对于求解暂降凹陷域的准确性和有效性。

Fast Algorithm for Vulnerable Area of Voltage Sag Based on Mutiple Numerical Analysis Methods

A methodology for vulnerable area of voltage sag based on numerical analysis theory is proposed. This method introduces a variety of numerical analysis methods to solve the critical fault points on the basis of the analysis of the sag amplitude. The problem of critical fault point is reduced to the problem of solving the root of the quadratic function, and different numerical analysis methods are used to achieve faster convergence speed under the premise of satisfying the computational accuracy. The method has a wide adaptability to a power system with a given network parameter. The comparison between the results of the fault point method and the single numerical solution and the performance of the algorithm verifies the accuracy and effectiveness of the proposed method for solving the sagging area.