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 | |
| State | Published - May 2021 |
Funding
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]).
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