PSOD-based efficient characteristic value analysis method and system for time-delay power system

Abstract

The invention provides a PSOD-based efficient eigenvalue analysis method and system for a time-delay power system, and the method comprises the steps: obtaining a partial solver discretization matrixof the time-delay power system through employing a PSOD method according to the obtained operation state data of the time-delay power system; utilizing a subspace method to calculate a preset number of first characteristic values of the discretization matrix of the solver part; performing spectral mapping, reverse rotation amplification and Newton's check on the first characteristic value in sequence to obtain a characteristic value of the time-delay power system, wherein in the subspace method, a to-be-inversed matrix in a partial solver discretization matrix is expressed as a form of Schur compensation, an expression of a product of inverse and a vector of the matrix is obtained by utilizing the form of the Schur compensation, and a product of inverse and the vector of the matrix is solved by utilizing an inverse power method; the matrix inverse vector product is prevented from being iteratively calculated by using an iterative method, and the solution of the matrix inverse vector product can be obtained only by using a one-time inverse power method, so that the calculation amount of the matrix inverse vector product is remarkably reduced.

Description

technical field [0001] The present disclosure relates to the technical field of time-delay power systems, in particular to a method and system for analyzing high-efficiency eigenvalues ​​of time-delay power systems based on PSOD. Background technique [0002] The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art. [0003] In order to solve the problem of unbalanced geographical distribution of energy centers and load centers, modern power systems have gradually developed into large-scale interconnected power systems. Although inter-regional interconnected power grids can better allocate resources and improve the economy and reliability of power grid operation, the low-frequency oscillations in them pose challenges to the safe and stable operation of power grids. The traditional power system stabilizer (Power System Stabilizer, PSS) can only be used to solve the local oscillation pr...

AI Technical Summary

Problems solved by technology

[0007] The inventors of the present disclosure found that the calculation method of the electromechanical oscillation mode of time-delay power system based on the discretization of the solution operator uses the implicit Arnoldi restart method to iteratively calculate the eigenvalue of the system solution operator discretization matrix with the largest modulus value. The main operation is the product of the discretization matrix and the Krylov sub-vector in the process of forming the Krylov sub-vector, but since the first row of the discretization matrix of the solution operator contains a matrix inverse, an iterative method is usually required to calculate the matrix inverse-vector product, which Large amount of calculation and low calculation efficiency

Images