Power System Voltage Stability Boundary: Computational Results and Applications
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912520945532928 |
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| author | Li, Zhenyao Yao, Yifan Gan, Deqiang |
| author_facet | Li, Zhenyao Yao, Yifan Gan, Deqiang |
| contents | The objective of this paper is to report some computational results for the theory of DAE stability boundary, with the aim of advancing applications in power system voltage stability studies. Firstly, a new regularization transformation for standard differential-algebraic equations (DAEs) is proposed. Then the existence of anchor points on voltage stability boundary is examined, and an optimization method for computing the controlling pseudo-saddle is suggested. Subsequently, a local representation of the stable manifold of the pseudo-saddle on the stability boundary is presented, and a voltage stability margin expression is obtained. Finally, the proposed results are verified using several examples, demonstrating the accuracy and effectiveness of the suggested methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03119 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Power System Voltage Stability Boundary: Computational Results and Applications Li, Zhenyao Yao, Yifan Gan, Deqiang Systems and Control The objective of this paper is to report some computational results for the theory of DAE stability boundary, with the aim of advancing applications in power system voltage stability studies. Firstly, a new regularization transformation for standard differential-algebraic equations (DAEs) is proposed. Then the existence of anchor points on voltage stability boundary is examined, and an optimization method for computing the controlling pseudo-saddle is suggested. Subsequently, a local representation of the stable manifold of the pseudo-saddle on the stability boundary is presented, and a voltage stability margin expression is obtained. Finally, the proposed results are verified using several examples, demonstrating the accuracy and effectiveness of the suggested methods. |
| title | Power System Voltage Stability Boundary: Computational Results and Applications |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2508.03119 |