High-efficiency eigenvalue analysis method and system for time-delayed power systems based on psod

Abstract

The present disclosure provides a PSOD-based high-efficiency eigenvalue analysis method and system of a time-delay power system. According to the obtained operating state data of the time-delay power system, the partial solution operator discretization matrix of the time-delay power system is obtained by using the PSOD method; Using the subspace method to calculate the first eigenvalue of the preset number of discretization matrices of the solution operator; the first eigenvalue is sequentially subjected to spectral mapping, inverse rotation amplification and Newton check to obtain the eigenvalue of the time-delay power system; where , in the subspace method, the inverse matrix to be found in the discretization matrix of the partial solution operator is expressed in the form of Schur's complement, and the expression of the product of the inverse of the matrix and the vector is obtained by using the form of Schur's complement, and the inverse power method is used to solve the The product of matrix inverse and vector; avoiding the iterative calculation of matrix inverse-vector product by iterative method, the solution of matrix inverse-vector product can be obtained only through one inverse power method, which significantly reduces the calculation amount of matrix inverse-vector product.

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