Generalized Vector Locus Transformation for Unbalanced Three-Phase Systems
<|reference_start|>Generalized Vector Locus Transformation for Unbalanced Three-Phase Systems: 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.<|reference_end|>
@article{desai2024generalized,
    title={Generalized Vector Locus Transformation for Unbalanced Three-Phase
  Systems},
    author={Maitraya Avadhut Desai, Francisco Escobar, Gabriela Hug},
    journal={arXiv preprint arXiv:2406.15106},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.15106},
    primaryClass={eess.SY cs.SY}
}