Generalized Vector Locus Transformation for Unbalanced Three-Phase Systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929394216337408 |
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| author | Desai, Maitraya Avadhut Escobar, Francisco Hug, Gabriela |
| author_facet | Desai, Maitraya Avadhut Escobar, Francisco Hug, Gabriela |
| contents | Coordinate transformations significantly simplify power systems computations. Most notably, the classical Clarke and dq0 transformations are widely used in three-phase systems, as together they transform balanced abc quantities into constant-valued signals. However, during unbalanced operation, the utility of these transformations diminishes, since a null 0 coordinate cannot be ensured and oscillating signals emerge. While recently proposed transformations ensure a null 0 coordinate, they still do not lead to constant-valued signals in the dq0 domain. In this letter, we propose a generalized vector locus transformation that ensures both a null 0 coordinate and constant-valued signals. Moreover, we show that, in the balanced case, the classical amplitude-invariant Clarke transformation is an instance of the proposed transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15106 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Vector Locus Transformation for Unbalanced Three-Phase Systems Desai, Maitraya Avadhut Escobar, Francisco Hug, Gabriela Systems and Control Coordinate transformations significantly simplify power systems computations. Most notably, the classical Clarke and dq0 transformations are widely used in three-phase systems, as together they transform balanced abc quantities into constant-valued signals. However, during unbalanced operation, the utility of these transformations diminishes, since a null 0 coordinate cannot be ensured and oscillating signals emerge. While recently proposed transformations ensure a null 0 coordinate, they still do not lead to constant-valued signals in the dq0 domain. In this letter, we propose a generalized vector locus transformation that ensures both a null 0 coordinate and constant-valued signals. Moreover, we show that, in the balanced case, the classical amplitude-invariant Clarke transformation is an instance of the proposed transformation. |
| title | Generalized Vector Locus Transformation for Unbalanced Three-Phase Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2406.15106 |