Domain of Attraction's Estimation for Grid Connected Converters With Phase-Locked Loop
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 Ly...
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| Veröffentlicht in: | IEEE transactions on power systems 2022-03, Vol.37 (2), p.1351-1362 |
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| creator | Zhang, Ziqian Schuerhuber, Robert Fickert, Lothar Friedl, Katrin Chen, Guochu Zhang, Yongming |
| description | 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 Lyapunov's 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 converter's 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 StarSim's controller hardware-in-the-loop tests in this paper. |
| doi_str_mv | 10.1109/TPWRS.2021.3098960 |
| format | Article |
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The analytical transient stability analysis of grid-connected converters presents numerous difficulties. A common method to tackle this problem is the stability analysis using Lyapunov's 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 converter's 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 StarSim's controller hardware-in-the-loop tests in this paper.</description><identifier>ISSN: 0885-8950</identifier><identifier>EISSN: 1558-0679</identifier><identifier>DOI: 10.1109/TPWRS.2021.3098960</identifier><identifier>CODEN: ITPSEG</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Analytical models ; Attraction ; Control equipment ; controller hardware-in-the-loop ; Converter stability ; Converters ; Direction-of-arrival estimation ; domain of attraction ; Electronic systems ; Estimation ; Hardware-in-the-loop simulation ; Liapunov functions ; Lyapunov method ; Mathematical model ; Monte Carlo simulation ; Nonlinear control ; Phase locked loops ; phase-locked loop ; Polynomials ; Power system stability ; Stability analysis ; sum-of-squares ; Transient analysis ; Transient stability</subject><ispartof>IEEE transactions on power systems, 2022-03, Vol.37 (2), p.1351-1362</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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The analytical transient stability analysis of grid-connected converters presents numerous difficulties. A common method to tackle this problem is the stability analysis using Lyapunov's 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 converter's domain of attraction with a relatively small number of iterations compared to classically applied methods, such as the Monte Carlo method. 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The analytical transient stability analysis of grid-connected converters presents numerous difficulties. A common method to tackle this problem is the stability analysis using Lyapunov's 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 converter's domain of attraction with a relatively small number of iterations compared to classically applied methods, such as the Monte Carlo method. 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| subjects | Analytical models Attraction Control equipment controller hardware-in-the-loop Converter stability Converters Direction-of-arrival estimation domain of attraction Electronic systems Estimation Hardware-in-the-loop simulation Liapunov functions Lyapunov method Mathematical model Monte Carlo simulation Nonlinear control Phase locked loops phase-locked loop Polynomials Power system stability Stability analysis sum-of-squares Transient analysis Transient stability |
| title | Domain of Attraction's Estimation for Grid Connected Converters With Phase-Locked Loop |
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