A Method of Tracing Equilibrium Solution Manifold of Power System Based on Curvature Radius

Abstract

The invention discloses a method for tracking equilibrium solution manifold of an electrical power system based on a curvature radius. The equilibrium solution manifold of the electrical power system is tracked according to a variation trend of the equilibrium solution manifold. The method comprises the following steps: using an automatically-changed homotopic algorithm to acquire an initial equilibrium point from any point, using the curvature radius to amend step length, and using a method similar to dichotomy to search branch points on the equilibrium solution manifold. The method solves the problems that the initial equilibrium point is difficult to obtain, the selection of the step length is unreasonable, the distortion of an area with high bending degree is serious, the tracking speed of an area with low bending degree is not high and the searched branch points are not equilibrium points in strict significance when a traditional continuation method is used for tracking the equilibrium solution manifold of the electrical power system.

Description

technical field [0001] The invention belongs to the technical field of power system voltage stability analysis, and in particular relates to a method for tracking the equilibrium solution manifold of the power system based on the radius of curvature. Background technique [0002] Every major accident in the traditional large power grid in recent years has caused huge losses to the social economy and brought great inconvenience to people's lives. This makes the stability of the power system become the focus of attention again. Voltage stability analysis is one of the main contents of power system stability research. Regardless of whether it is for traditional large grids, smart grids or microgrids, voltage stability analysis is extremely important. The continuation method is one of the important methods for voltage stability analysis. The traditional continuation method has the disadvantages that the initial equilibrium point is not easy to obtain, the step size selection i...

AI Technical Summary

Problems solved by technology

[0006] In order to solve the above problems, the present invention proposes a method for tracking the equilibrium solution manifold of the power system based on the radius of curvature, which solves the difficulty in obtaining the initial equilibrium point and the inaccurate selection of the step size when using the traditional continuation method to track the equilibrium solution manifold of the power system. Reasonable, severe distortion in areas with high degree of curvature, low tracking speed in areas with low degree of curvature, searched bifurcation points are not strictly balanced points, etc.

Images