Journal Information
Journal Information
Description
Editorial Board
Guide for Authors
Ordering

Contents Services
Contents Services
Regular Issues
Special Issues
Authors Index

 Quaternion-valued single-phase model for three-phase power system Xiaoming Gou – Zhiwen Liu – Wei Liu – Yougen Xu – Jiabin Wang    In this work, a quaternion-valued model is proposed in lieu of the Clarke's $\alpha,\beta$ transformation 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. Keywords: harmonics detection, Fourier transform, minimum variance distortionless response, multiple signal classification, quaternion, three-phase power system