A Feasible Delay Margin Sensitivity Analysis Method

Chongtao Li; Yulei Cao; Chao Duan; Kun Zhang

doi:10.1109/TPWRS.2021.3060599

A Feasible Delay Margin Sensitivity Analysis Method

Chongtao Li, Yulei Cao, Chao Duan^*, Kun Zhang

^*Corresponding author for this work

Physics and Astronomy

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

Abstract

This letter proposes a method for calculating the sensitivity of delay margin with respect to system parameters. According to the property that the delay margin is achieved when the rightmost eigenvalues of the close-loop system locate exactly on the imaginary axis, a characteristic equation with inclusion of the delay margin is established. By differentiating the characteristic equation and further introducing normalization condition for the eigenvector, the sensitivity of the delay margin with respect to any given parameters can be obtained by solving a set of sparse linear equations. Due to the general differential and algebraic equation used in the derivation, the proposed delay margin sensitivity analysis method applies to various power system models and control problems.

Original language	English (US)
Article number	9359487
Pages (from-to)	2713-2716
Number of pages	4
Journal	IEEE Transactions on Power Systems
Volume	36
Issue number	3
DOIs	https://doi.org/10.1109/TPWRS.2021.3060599
State	Published - May 2021

Keywords

Delay margin sensitivity
constant delay
frequency-domain method
time-delay power system

ASJC Scopus subject areas

Energy Engineering and Power Technology
Electrical and Electronic Engineering

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title = "A Feasible Delay Margin Sensitivity Analysis Method",

abstract = "This letter proposes a method for calculating the sensitivity of delay margin with respect to system parameters. According to the property that the delay margin is achieved when the rightmost eigenvalues of the close-loop system locate exactly on the imaginary axis, a characteristic equation with inclusion of the delay margin is established. By differentiating the characteristic equation and further introducing normalization condition for the eigenvector, the sensitivity of the delay margin with respect to any given parameters can be obtained by solving a set of sparse linear equations. Due to the general differential and algebraic equation used in the derivation, the proposed delay margin sensitivity analysis method applies to various power system models and control problems. ",

keywords = "Delay margin sensitivity, constant delay, frequency-domain method, time-delay power system",

author = "Chongtao Li and Yulei Cao and Chao Duan and Kun Zhang",

note = "Funding Information: Manuscript received June 29, 2020; revised September 17, 2020, December 12, 2020, and February 7, 2021; accepted February 14, 2021. Date of publication February 19, 2021; date of current version April 19, 2021. This work was supported by the National Natural Science Foundation of China under Grant 51977167. Paper no. PESL-00195-2020. (Corresponding author: Chao Duan.) Chongtao Li and Yulei Cao are with the Shaanxi Key Laboratory of Smart Grid, Department of Electrical Engineering, Xi{\textquoteright}an Jiaotong University, Xi{\textquoteright}an 710049, China (e-mail: ctali@163.com; qinyu10@stu.xjtu.edu.cn). Publisher Copyright: {\textcopyright} 1969-2012 IEEE.",

year = "2021",

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doi = "10.1109/TPWRS.2021.3060599",

language = "English (US)",

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AU - Li, Chongtao

AU - Cao, Yulei

AU - Duan, Chao

AU - Zhang, Kun

N1 - Funding Information: Manuscript received June 29, 2020; revised September 17, 2020, December 12, 2020, and February 7, 2021; accepted February 14, 2021. Date of publication February 19, 2021; date of current version April 19, 2021. This work was supported by the National Natural Science Foundation of China under Grant 51977167. Paper no. PESL-00195-2020. (Corresponding author: Chao Duan.) Chongtao Li and Yulei Cao are with the Shaanxi Key Laboratory of Smart Grid, Department of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China (e-mail: ctali@163.com; qinyu10@stu.xjtu.edu.cn). Publisher Copyright: © 1969-2012 IEEE.

PY - 2021/5

Y1 - 2021/5

N2 - This letter proposes a method for calculating the sensitivity of delay margin with respect to system parameters. According to the property that the delay margin is achieved when the rightmost eigenvalues of the close-loop system locate exactly on the imaginary axis, a characteristic equation with inclusion of the delay margin is established. By differentiating the characteristic equation and further introducing normalization condition for the eigenvector, the sensitivity of the delay margin with respect to any given parameters can be obtained by solving a set of sparse linear equations. Due to the general differential and algebraic equation used in the derivation, the proposed delay margin sensitivity analysis method applies to various power system models and control problems.

AB - This letter proposes a method for calculating the sensitivity of delay margin with respect to system parameters. According to the property that the delay margin is achieved when the rightmost eigenvalues of the close-loop system locate exactly on the imaginary axis, a characteristic equation with inclusion of the delay margin is established. By differentiating the characteristic equation and further introducing normalization condition for the eigenvector, the sensitivity of the delay margin with respect to any given parameters can be obtained by solving a set of sparse linear equations. Due to the general differential and algebraic equation used in the derivation, the proposed delay margin sensitivity analysis method applies to various power system models and control problems.

KW - Delay margin sensitivity

KW - constant delay

KW - frequency-domain method

KW - time-delay power system

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A Feasible Delay Margin Sensitivity Analysis Method

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