<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this work, a quaternion-valued model is proposed in lieu of the Clarke’s α, β 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.</p></abstract>

In this work, a quaternion-valued model is proposed in lieu of the Clarke’s α, β 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.

Quaternion-valued single-phase model for three-phase power system

School of Information and Electronics Beijing Institute of Technology

Department of Electronic and Electrical Engineering

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Quaternion-valued single-phase model for three-phase power system"}

In this work, a quaternion-valued model is proposed in lieu of the Clarke’s α, β transformation to convert three-phase quantities to a hypercomplex...

Quaternion-valued single-phase model for three-phase power system

Published Online: May 30, 2018

Page range: 183 - 186

Received: Oct 19, 2017

DOI: https://doi.org/10.2478/jee-2018-0023

Keywords
harmonics detection, Fourier transform, minimum variance distortionless response, multiple signal classification, quaternion, three-phase power system

© 2018 Xiaoming Gou et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Quaternion-valued single-phase model for three-phase power system

Published Online: May 30, 2018

Page range: 183 - 186

Received: Oct 19, 2017

DOI: https://doi.org/10.2478/jee-2018-0023

Keywordsharmonics detection, Fourier transform, minimum variance distortionless response, multiple signal classification, quaternion, three-phase power system

© 2018 Xiaoming Gou et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
harmonics detection, Fourier transform, minimum variance distortionless response, multiple signal classification, quaternion, three-phase power system