Sod-irk based method for determining the stability of time-delayed power systems

Abstract

The invention discloses a SOD-IRK based time-delay power system stability determination method. The SOD-IRK based time-delay power system stability determination method comprises: establishing a time-delay power system model; using different implicit Runge-Kutta methods to discretize solution operators to obtain a discretized matrix of the solution operators; transforming an eigenvalue problem ofinfinite dimension into an eigenvalue problem of finite dimension; using an implicit Arnoldi algorithm to calculate an approximate value of the eigenvalue having the maximum modulus, of the discretized matrix of the solution operators; using a rotation-amplifying method to perform preprocessing during calculation, and performing sparse implementation by using the properties of a Kronecker product;transforming the approximate value of the eigenvalue having the maximum modulus, of the discretized matrix into the approximate eigenvalue of the time-delay power system model according to the spectral mapping relationship; using the Newton iteration method to correct the approximate eigenvalues to obtain the exact eigenvalues of the time-delay power system; and determining the stability of the time-delay power system according to the magnitude of the exact eigenvalue damping ratio.

Description

technical field

[0001] The invention relates to a time-delay power system stability discrimination method based on Solution Operator Discretization Methods with Implicit Runge-Kutta (SOD-IRK). Background technique

[0002] With the rise of the Global Energy Internet, the scale of the interconnected power system is gradually increasing, and the problem of interval low-frequency oscillation is more significant. The traditional solution is to install a power system stabilizer (Power System Stabilizer, PSS), but because its feedback control signal comes from the local area, it cannot effectively damp the interval oscillation of the interconnected power system.

[0003] The emergence of Wide-Area Measurement System (WAMS) has brought new opportunities for the development of stability analysis and control of large-scale interconnected power systems. The low-frequency oscillation control of the interconnected grid based on the wide-area information provided by WAMS can obtain bett...

Examples

Embodiment Construction

[0165] 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.

[0166] 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.

[0167] Such as figure 1 As shown, the time-delay power system stability discrimination method based on SOD-IRK ...

technical field

[0001] The invention relates to a time-delay power system stability discrimination method based on Solution Operator Discretization Methods with Implicit Runge-Kutta (SOD-IRK). Background technique

[0002] With the rise of the Global Energy Internet, the scale of the interconnected power system is gradually increasing, and the problem of interval low-frequency oscillation is more significant. The traditional solution is to install a power system stabilizer (Power System Stabilizer, PSS), but because its feedback control signal comes from the local area, it cannot effectively damp the interval oscillation of the interconnected power system.

[0003] The emergence of Wide-Area Measurement System (WAMS) has brought new opportunities for the development of stability analysis and control of large-scale interconnected power systems. The low-frequency oscillation control of the interconnected grid based on the wide-area information provided by WAMS can obtain bett...

Examples

Embodiment Construction

[0165] 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.

[0166] 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.

[0167] Such as figure 1 As shown, the time-delay power system stability discrimination method based on SOD-IRK ...

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