2016/01/07 by Xiaoming Gou, Zhiwen Liu, Gou, Xiaoming +7
Computer Science · Engineering · Mathematics · #Advanced Adaptive Filtering Techniques #Applications (stat.AP) #Direction-of-Arrival Estimation Techniques #FOS: Computer and information sciences #Speech and Audio Processing #stat.AP
paper · pdf · doi:10.48550/arxiv.1601.01557
4 pages, 5 figures
arxiv created 2016/01/07 · openalex publication_date 2016/01/07 · arxiv updated 2016/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, a quaternion-valued model is proposed in lieu of the Clarke's α, βtransformation to convert three-phase quantities to a hypercomplex single-phase signal. The concatenated signal can be used for harmonic distortion detection in three-phase power systems. In particular, the proposed model maps all the harmonic frequencies into frequencies in the quaternion domain, while the Clarke's transformation-based methods will fail to detect the zero sequence voltages. Based on the quaternion-valued model, the Fourier transform, the minimum variance distortionless response (MVDR) algorithm and the multiple signal classification (MUSIC) algorithm are presented as examples to detect harmonic distortion. Simulations are provided to demonstrate the potentials of this new modeling method.