TY - JOUR
T1 - A Feasible Delay Margin Sensitivity Analysis Method
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: [email protected]; [email protected]).
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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U2 - 10.1109/TPWRS.2021.3060599
DO - 10.1109/TPWRS.2021.3060599
M3 - Article
AN - SCOPUS:85101759927
SN - 0885-8950
VL - 36
SP - 2713
EP - 2716
JO - IEEE Transactions on Power Systems
JF - IEEE Transactions on Power Systems
IS - 3
M1 - 9359487
ER -