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A Feasible Delay Margin Sensitivity Analysis Method

delete2021-05-01
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PRE
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李崇涛 cover
李崇涛 (Chongtao Li)
Y
Yulei Cao
C
Chao Duan *
张昆 cover
张昆 (Kun Zhang)
DOI:10.1109/TPWRS.2021.3060599delete
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Abstract

Abstract

En 中文
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:
Delays
Mathematical model
Power system stability
Eigenvalues and eigenfunctions
Stability criteria
Sensitivity analysis
Sparse matrices
Delay margin sensitivity
frequency-domain method
time-delay power system
constant delay
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Journal

IEEE Transactions on Power Systems cover
IEEE Transactions on Power Systems
IF:
7.2
Papers:
1.1W
Citations:
5.0W

Organization

X
xi'an jiaotong university
Scholars:
9.3W
Papers: 6.7W
Citations: 75
N
Northwestern University
Scholars:
6.2W
Papers: 5.3W
Citations: 3.9K
Cited Papers

Cited Papers

Delay-Dependent Stability Control for Power System With Multiple Time-Delays
err2016-05-01
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PREAI
errLi, Jian; Chen, Zhaohui; Cai, Dongsheng; Zhen, Wei; Huang, Qi
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