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

A technology of eigenvalue analysis and power system, applied in the direction of information technology support system, electrical components, circuit devices, etc., can solve the problems of large amount of calculation and low calculation efficiency, and achieve the goal of improving efficiency, improving calculation efficiency and good applicability Effect

Active Publication Date: 2021-01-01
SHANDONG UNIV +1
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  • Abstract
  • Description
  • Claims
  • Application Information

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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 ...

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

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Embodiment 1

[0033] Such as figure 1 As shown, Embodiment 1 of the present disclosure provides a PSOD-based high-efficiency eigenvalue analysis method for time-delay power systems, including the following steps:

[0034] Step (1): The partial solution operator discretization matrix of the time-delay power system obtained by the PSOD method;

[0035] Step (2): Using the system state matrix and the augmented state matrix expression of the time-delay state matrix, expand the system state matrix and the time-delay state matrix in the inverse matrix to be found in the discretization matrix of the partial solution operator;

[0036] Step (3): Using the distribution rate of the Kronecker product, the mixed product and the inverse property, the inverse matrix to be obtained is further expressed in the form of Schur's complement;

[0037] Step (4): Use the subspace method to calculate the set number of eigenvalues ​​with the largest modulus of the discretization matrix of the solution operator par...

Embodiment 2

[0113] Embodiment 2 of the present disclosure provides a PSOD-based high-efficiency eigenvalue analysis system for time-delay power systems, including:

[0114] The data acquisition module is configured to: acquire the operating state data of the time-lag power system;

[0115] The preprocessing module is configured to: use the PSOD method to obtain the partial solution operator discretization matrix of the time-delay power system;

[0116] The processing module is configured to: use the subspace method to calculate the first eigenvalue of the preset number of partial discretization matrices of the solution operator; in the subspace method, the inverse matrix to be found in the partial solution operator discretization matrix Expressed as the form of Schur's complement, use the form of Schur's complement to obtain the expression of the matrix inverse and vector product, and use the inverse power method to solve the product of the matrix inverse and vector;

[0117] The eigenva...

Embodiment 3

[0120] Embodiment 3 of the present disclosure provides a medium on which a program is stored, and when the program is executed by a processor, the steps in the PSOD-based high-efficiency eigenvalue analysis method for a time-delay power system as described in Embodiment 1 of the present disclosure are implemented, The steps are:

[0121] Step (1): The partial solution operator discretization matrix of the time-delay power system obtained by the PSOD method;

[0122] Step (2): Using the system state matrix and the augmented state matrix expression of the time-delay state matrix, expand the system state matrix and the time-delay state matrix in the inverse matrix to be found in the discretization matrix of the partial solution operator;

[0123] Step (3): Using the distribution rate of the Kronecker product, the mixed product and the inverse property, the inverse matrix to be obtained is further expressed in the form of Schur's complement;

[0124] Step (4): Using the subspace ...

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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...

Claims

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Application Information

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IPC IPC(8): H02J3/00H02J3/24G06Q50/06G06F17/16G06F7/552
CPCH02J3/00H02J3/24G06F17/16G06F7/552G06Q50/06H02J2203/20Y04S10/50
Inventor 叶华张思聪刘玉田李常刚王亮
Owner SHANDONG UNIV
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