Lyapunov Functions Family Approach to Transient Stability Assessment
Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of dynamic security assessment. This paper proposes a novel approach for assessment of transient stability of the system. The approach generalizes the idea of energy methods...
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2017
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| Online Access: | http://hdl.handle.net/1721.1/109295 https://orcid.org/0000-0003-3140-2144 https://orcid.org/0000-0002-7997-8962 |
| _version_ | 1826218111479578624 |
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| author | Vu, Thanh Long Turitsyn, Konstantin |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Vu, Thanh Long Turitsyn, Konstantin |
| author_sort | Vu, Thanh Long |
| collection | MIT |
| description | Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of dynamic security assessment. This paper proposes a novel approach for assessment of transient stability of the system. The approach generalizes the idea of energy methods, and extends the concept of energy function to a more general Lyapunov functions family (LFF) constructed via semidefinite programming techniques. Unlike the traditional energy function and its variations, the constructed Lyapunov functions are proven to be decreasing only in a finite neighborhood of the equilibrium point. However, we show that they can still certify stability of a broader set of initial conditions in comparison to the energy function in the closest-UEP method. Moreover, the certificates of stability can be constructed via a sequence of convex optimization problems that are tractable even for large scale systems. We also propose specific algorithms for adaptation of the Lyapunov functions to specific initial conditions and demonstrate the effectiveness of the approach on a number of IEEE test cases. |
| first_indexed | 2024-09-23T17:14:21Z |
| format | Article |
| id | mit-1721.1/109295 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:14:21Z |
| publishDate | 2017 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1092952022-09-30T00:39:18Z Lyapunov Functions Family Approach to Transient Stability Assessment Vu, Thanh Long Turitsyn, Konstantin Massachusetts Institute of Technology. Department of Mechanical Engineering Vu, Thanh Long Turitsyn, Konstantin Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of dynamic security assessment. This paper proposes a novel approach for assessment of transient stability of the system. The approach generalizes the idea of energy methods, and extends the concept of energy function to a more general Lyapunov functions family (LFF) constructed via semidefinite programming techniques. Unlike the traditional energy function and its variations, the constructed Lyapunov functions are proven to be decreasing only in a finite neighborhood of the equilibrium point. However, we show that they can still certify stability of a broader set of initial conditions in comparison to the energy function in the closest-UEP method. Moreover, the certificates of stability can be constructed via a sequence of convex optimization problems that are tractable even for large scale systems. We also propose specific algorithms for adaptation of the Lyapunov functions to specific initial conditions and demonstrate the effectiveness of the approach on a number of IEEE test cases. 2017-05-23T15:22:53Z 2017-05-23T15:22:53Z 2015-05 2015-02 Article http://purl.org/eprint/type/JournalArticle 0885-8950 1558-0679 http://hdl.handle.net/1721.1/109295 Vu, Thanh Long andTuritsyn, Konstantin. “Lyapunov Functions Family Approach to Transient Stability Assessment.” IEEE Transactions on Power Systems 31, no. 2 (March 2016): 1269–1277 © 2016 Institute of Electrical and Electronics Engineers (IEEE) https://orcid.org/0000-0003-3140-2144 https://orcid.org/0000-0002-7997-8962 en_US http://dx.doi.org/10.1109/tpwrs.2015.2425885 IEEE Transactions on Power Systems Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv |
| spellingShingle | Vu, Thanh Long Turitsyn, Konstantin Lyapunov Functions Family Approach to Transient Stability Assessment |
| title | Lyapunov Functions Family Approach to Transient Stability Assessment |
| title_full | Lyapunov Functions Family Approach to Transient Stability Assessment |
| title_fullStr | Lyapunov Functions Family Approach to Transient Stability Assessment |
| title_full_unstemmed | Lyapunov Functions Family Approach to Transient Stability Assessment |
| title_short | Lyapunov Functions Family Approach to Transient Stability Assessment |
| title_sort | lyapunov functions family approach to transient stability assessment |
| url | http://hdl.handle.net/1721.1/109295 https://orcid.org/0000-0003-3140-2144 https://orcid.org/0000-0002-7997-8962 |
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