1. Domain of Attraction’s Estimation for Grid Connected Converters With Phase-Locked Loop
- Author
-
Friedl Katrin, Ziqian Zhang, Zhang Yongming, Robert Schuerhuber, Lothar Fickert, and Chen Guochu
- Subjects
Lyapunov stability ,Lyapunov function ,symbols.namesake ,Polynomial ,Control theory ,Computer science ,Stability (learning theory) ,symbols ,Energy Engineering and Power Technology ,Electrical and Electronic Engineering ,Converters ,Grid ,Domain (software engineering) - 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.
- Published
- 2022