Abstract
A large number of non-linear hardware and control units exists in power electronic system used in grid connected devices. The analytical transient stability analysis of grid-connected converters presents numerous difficulties. A common method to tackle this problem is the stability analysis using Lyapunovs method. By applying this method, difficulties arise not only from finding a suitable Lyapunov function, but also from checking the constraint of Lyapunov stability. If the appropriate Lyapunov function is a high-order polynomial, it is very challenging to test if it meets the constraints of Lyapunov stability in certain regions. In this paper, the sum-of-squares programming method is used to obtain the estimation of a converters domain of attraction with a relatively small number of iterations compared to classically applied methods, such as the Monte Carlo method. The estimation of the domain of attraction are verified by time-domain simulations and StarSims controller hardware-in-the-loop tests in this paper.
| Original language | English |
|---|---|
| Pages (from-to) | 1351 - 1362 |
| Number of pages | 12 |
| Journal | IEEE Transactions on Power Systems |
| Volume | 37 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2022 |
Keywords
- Converter stability
- phase-locked loop
- transient stability
- Lyapunov method
- domain of attraction
- sum-ofsquares
- controller hardware-in-the-loop
- Direction-of-arrival estimation
- Estimation
- Power system stability
- Phase locked loops
- Analytical models
- Mathematical model
- Transient analysis
- sum-of-squares
ASJC Scopus subject areas
- Energy Engineering and Power Technology
- Electrical and Electronic Engineering