A time-delay power system stability discrimination method based on time integral IGD

Abstract

The invention discloses a time-delay power system stability discrimination method based on time integral IGD. The method comprises the following steps: establishing a time-delay power system model; Carrying out discretization on the infinite element by using a Hidden keel frame-library tower method to obtain a discretization matrix of the infinite element; Converting the infinite-dimension characteristic value problem into a finite-dimension characteristic value problem; adopting the implicit Arnoldi algorithm to calculate the approximation of the eigenvalues of the discretized matrix with thelargest modulus value after displacement and inverse transformation; performing sparse implementation by the inverse transform and Kronecker product, and solving the product problem of the inverse and vector of the matrix iteratively by using the induced dimensionality reduction algorithm; Converting the approximate value of the characteristic value with the maximum discretization matrix modulusvalue into the approximate characteristic value of the time-delay power system model according to the spectrum mapping relation; Correcting the approximate characteristic value by adopting a Newton iteration method to obtain an accurate characteristic value; And judging the stability of the time-delay power system according to the accurate characteristic value.

Description

technical field

[0001] The present disclosure relates to a time-integrated IGD-based method for judging the stability of a time-delay power system. Background technique

[0002] The statements in this section merely mention background art related to the present disclosure and do not necessarily constitute prior art.

[0003] 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.

[0004] 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 oscillati...

Examples

Embodiment 1

[0039] Such as figure 1 As shown, the time-delayed power system stability discrimination method based on time-integrated IGD includes:

[0040] Step (1): Establish a time-delay power system model; according to the spectral mapping relationship between the eigenvalues ​​of the time-delay power system model and the infinitesimal generator eigenvalues ​​of the time-delay power system model, the eigenvalues ​​of the time-delay power system model will be calculated It is transformed into calculating the eigenvalue of the infinitesimal generator; thus the problem of judging the stability of the time-delay power system is transformed into the problem of calculating the eigenvalue with the largest modulus value of the infinitesimal generator;

[0041] Step (2): Use the implicit Runge-Kutta method to discretize the infinitesimal generators to obtain the discretization matrix of the infinitesimal generators; transform the infinite-dimensional eigenvalue problem into a finite-dimensional...

Embodiment 2

[0219] Such as Figure 4 As shown, the time-delayed power system stability discrimination method based on time-integrated IGD includes:

[0220] Step (1): Establish a time-delay power system model; according to the spectral mapping relationship between the eigenvalues ​​of the time-delay power system model and the infinitesimal generator eigenvalues ​​of the time-delay power system model, the eigenvalues ​​of the time-delay power system model will be calculated It is transformed into calculating the eigenvalue of the infinitesimal generator; thus the problem of judging the stability of the time-delay power system is transformed into the problem of calculating the eigenvalue with the largest modulus value of the infinitesimal generator;

[0221] Step (2): Using the linear multi-step method LMS to discretize the infinitesimal generators to obtain the discretization matrix of the infinitesimal generators; transform the infinite-dimensional eigenvalue problem into a finite-dimensi...

technical field

[0001] The present disclosure relates to a time-integrated IGD-based method for judging the stability of a time-delay power system. Background technique

[0002] The statements in this section merely mention background art related to the present disclosure and do not necessarily constitute prior art.

[0003] 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.

[0004] 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 oscillati...

Examples

Embodiment 1

[0039] Such as figure 1 As shown, the time-delayed power system stability discrimination method based on time-integrated IGD includes:

[0040] Step (1): Establish a time-delay power system model; according to the spectral mapping relationship between the eigenvalues ​​of the time-delay power system model and the infinitesimal generator eigenvalues ​​of the time-delay power system model, the eigenvalues ​​of the time-delay power system model will be calculated It is transformed into calculating the eigenvalue of the infinitesimal generator; thus the problem of judging the stability of the time-delay power system is transformed into the problem of calculating the eigenvalue with the largest modulus value of the infinitesimal generator;

[0041] Step (2): Use the implicit Runge-Kutta method to discretize the infinitesimal generators to obtain the discretization matrix of the infinitesimal generators; transform the infinite-dimensional eigenvalue problem into a finite-dimensional...

Embodiment 2

[0219] Such as Figure 4 As shown, the time-delayed power system stability discrimination method based on time-integrated IGD includes:

[0220] Step (1): Establish a time-delay power system model; according to the spectral mapping relationship between the eigenvalues ​​of the time-delay power system model and the infinitesimal generator eigenvalues ​​of the time-delay power system model, the eigenvalues ​​of the time-delay power system model will be calculated It is transformed into calculating the eigenvalue of the infinitesimal generator; thus the problem of judging the stability of the time-delay power system is transformed into the problem of calculating the eigenvalue with the largest modulus value of the infinitesimal generator;

[0221] Step (2): Using the linear multi-step method LMS to discretize the infinitesimal generators to obtain the discretization matrix of the infinitesimal generators; transform the infinite-dimensional eigenvalue problem into a finite-dimensi...

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