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Small-interference stability analysis method for time-delay power systems based on low-order IGD-IRK

A technology of power system and analysis method, applied in circuit devices, AC network circuits, reducing/preventing power oscillation, etc., can solve the problems of unsolved matrix dimension problems, large discretization matrix dimensions, etc.

Active Publication Date: 2018-11-13
SHANDONG UNIV
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Problems solved by technology

[0007] However, the discretization matrix generated by the above time-delay power system spectrum discretization calculation method has a large dimension. Although the sparse algorithm is used for calculation, it is suitable for the eigenvalue calculation of large-scale systems, but the inherent dimensionality of the matrix has not been solved. solve

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  • Small-interference stability analysis method for time-delay power systems based on low-order IGD-IRK

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[0076] It should be pointed out that the following detailed description is exemplary and intended to provide further explanation to the present application. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.

[0077] It should be noted that the terminology used here is only for describing specific implementations, and is not intended to limit the exemplary implementations according to the present application. As used herein, unless the context clearly dictates otherwise, the singular is intended to include the plural, and it should also be understood that when the terms "comprising" and / or "comprising" are used in this specification, they mean There are features, steps, operations, means, components and / or combinations thereof.

[0078] The overall technical concept of this application is:

[0079] Firstly, the linearization model for smal...

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Abstract

The invention discloses a small-interference stability analysis method for a time-delay power system based on low-order IGD-IRK. The small-interference stability analysis method comprises the following steps: establishing a mathematical model of the time-delay power system; according to whether state variables of the time-delay power system are related to time delay, rewriting differential equations of the time-delay power system as a part related to the time delay and a part unrelated to the time delay; obtaining an infinitesimal generator corresponding to a state equation of the time-delay power system after recombination; aiming at the infinitesimal generator, performing low-order discretization based on the implicit Runge-Kutta method to obtain a low-order discretized approximation matrix of the infinitesimal generator; aiming at the low-order discretized approximation matrix of the infinitesimal generator, performing inverse displacement change to obtain a low-order discretized approximation inverse matrix of the infinitesimal generator; and aiming at the inverse matrix, performing sparse eigenvalue calculation, and then performing inverse transformation and Newton's check onthe sparse eigenvalues to obtain the exact eigenvalues of the time-delay power system.

Description

technical field [0001] The present invention relates to the technical field of electric power systems, in particular to a small disturbance stability analysis method for time-delay power systems based on low-order IGD-IRK. IGD-IRK is the abbreviation of "Infinitesimal Generator Discretization With Implicit Runge-Kutta" in English, and its Chinese meaning is: Implicit Runge-Kutta discretization of infinitesimal generators. Background technique [0002] As the demand for energy and electricity continues to increase, the establishment of large-scale inter-regional and transnational interconnected power grids is the trend of contemporary electric power development. However, in the initial stage of interconnection, complex electrical structures and weak transmission links make the power system more prone to inter-regional low-frequency oscillations. The scope of interval oscillation is wide, and the connection between the oscillating clusters is relatively complicated, which is ...

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Application Information

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IPC IPC(8): H02J3/24
CPCH02J3/24H02J2203/20
Inventor 叶华李泰然刘玉田
Owner SHANDONG UNIV
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