Development of an Effective Model for Computing Rightmost Eigenvalues of Power Systems with Inclusion of Time Delays

Chongtao Li; Jiannan Wu; Chao Duan; Zhengchun Du

doi:10.1109/TPWRS.2019.2913201

Development of an Effective Model for Computing Rightmost Eigenvalues of Power Systems with Inclusion of Time Delays

Chongtao Li^*, Jiannan Wu, Chao Duan, Zhengchun Du

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

This paper proposes a new discretization model for computing the rightmost eigenvalues, i.e., the dominant modes, of the power system with inclusion of time delays. At first, a general model of the time-delay power system is introduced. This model can be adopted for analysis of both retarded and neutral-type time-delay systems. Then, based on the general model, a discretization method for computing the rightmost eigenvalues is developed. In the method, only the retarded variables are required to be discretized. As a result, the order of the proposed model is far less than the order of existing models for solving eigenvalues of time-delay power systems. Meanwhile, the sparsity of the original power system model is passed down to the discretized model. The proposed model is tested on 5 power systems, from 4 machines to 562 machines, to show its effectiveness and efficiency.

Original language	English (US)
Article number	8698886
Pages (from-to)	4216-4227
Number of pages	12
Journal	IEEE Transactions on Power Systems
Volume	34
Issue number	6
DOIs	https://doi.org/10.1109/TPWRS.2019.2913201
State	Published - Nov 2019

Funding

Manuscript received April 15, 2018; revised July 30, 2018, September 24, 2018, December 11, 2018, and February 18, 2019; accepted April 20, 2019. Date of publication April 25, 2019; date of current version October 24, 2019. This work was supported by the National Key Research and Development Program of China under Grant 2017YFB0902000. Paper no. TPWRS-00556-2018. (Corresponding author: Chongtao Li.) The authors are with the Shaanxi Key Laboratory of Smart Grid and with the Department of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China (e-mail: [email protected]; [email protected]; [email protected]; [email protected]).

Keywords

Chebyshev discretization
DDAEs
Time-delay
power systems
small-signal stability

ASJC Scopus subject areas

Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1109/TPWRS.2019.2913201

Cite this

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title = "Development of an Effective Model for Computing Rightmost Eigenvalues of Power Systems with Inclusion of Time Delays",

abstract = "This paper proposes a new discretization model for computing the rightmost eigenvalues, i.e., the dominant modes, of the power system with inclusion of time delays. At first, a general model of the time-delay power system is introduced. This model can be adopted for analysis of both retarded and neutral-type time-delay systems. Then, based on the general model, a discretization method for computing the rightmost eigenvalues is developed. In the method, only the retarded variables are required to be discretized. As a result, the order of the proposed model is far less than the order of existing models for solving eigenvalues of time-delay power systems. Meanwhile, the sparsity of the original power system model is passed down to the discretized model. The proposed model is tested on 5 power systems, from 4 machines to 562 machines, to show its effectiveness and efficiency.",

keywords = "Chebyshev discretization, DDAEs, Time-delay, power systems, small-signal stability",

author = "Chongtao Li and Jiannan Wu and Chao Duan and Zhengchun Du",

note = "Funding Information: Manuscript received April 15, 2018; revised July 30, 2018, September 24, 2018, December 11, 2018, and February 18, 2019; accepted April 20, 2019. Date of publication April 25, 2019; date of current version October 24, 2019. This work was supported by the National Key Research and Development Program of China under Grant 2017YFB0902000. Paper no. TPWRS-00556-2018. (Corresponding author: Chongtao Li.) The authors are with the Shaanxi Key Laboratory of Smart Grid and with the Department of Electrical Engineering, Xi{\textquoteright}an Jiaotong University, Xi{\textquoteright}an 710049, China (e-mail: [email protected]; [email protected]; [email protected]; [email protected]). Publisher Copyright: {\textcopyright} 1969-2012 IEEE.",

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N1 - Funding Information: Manuscript received April 15, 2018; revised July 30, 2018, September 24, 2018, December 11, 2018, and February 18, 2019; accepted April 20, 2019. Date of publication April 25, 2019; date of current version October 24, 2019. This work was supported by the National Key Research and Development Program of China under Grant 2017YFB0902000. Paper no. TPWRS-00556-2018. (Corresponding author: Chongtao Li.) The authors are with the Shaanxi Key Laboratory of Smart Grid and with the Department of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China (e-mail: [email protected]; [email protected]; [email protected]; [email protected]). Publisher Copyright: © 1969-2012 IEEE.

PY - 2019/11

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N2 - This paper proposes a new discretization model for computing the rightmost eigenvalues, i.e., the dominant modes, of the power system with inclusion of time delays. At first, a general model of the time-delay power system is introduced. This model can be adopted for analysis of both retarded and neutral-type time-delay systems. Then, based on the general model, a discretization method for computing the rightmost eigenvalues is developed. In the method, only the retarded variables are required to be discretized. As a result, the order of the proposed model is far less than the order of existing models for solving eigenvalues of time-delay power systems. Meanwhile, the sparsity of the original power system model is passed down to the discretized model. The proposed model is tested on 5 power systems, from 4 machines to 562 machines, to show its effectiveness and efficiency.

AB - This paper proposes a new discretization model for computing the rightmost eigenvalues, i.e., the dominant modes, of the power system with inclusion of time delays. At first, a general model of the time-delay power system is introduced. This model can be adopted for analysis of both retarded and neutral-type time-delay systems. Then, based on the general model, a discretization method for computing the rightmost eigenvalues is developed. In the method, only the retarded variables are required to be discretized. As a result, the order of the proposed model is far less than the order of existing models for solving eigenvalues of time-delay power systems. Meanwhile, the sparsity of the original power system model is passed down to the discretized model. The proposed model is tested on 5 power systems, from 4 machines to 562 machines, to show its effectiveness and efficiency.

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KW - Time-delay

KW - power systems

KW - small-signal stability

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Development of an Effective Model for Computing Rightmost Eigenvalues of Power Systems with Inclusion of Time Delays

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