Novelty method for the utility harmonic impedance estimation based on Gaussian mixed model. Issue 13 (4th May 2020)

• Record Type: Journal Article
• Authors: Tang, Zhirong; Shu, Qin; Xu, Fangwei; Jiang, Yue
• Is Part Of: IET generation, transmission & distribution. Volume 14:Issue 13(2020)
• Page Start: 2573
• Page End: 2580
• Publication Date: 2020-05-04
• Subjects: expectation‐maximisation algorithm -- Gaussian processes -- equivalent circuits -- harmonic analysis -- iterative methods -- electric impedance -- Gaussian distribution -- power system harmonics -- statistical distributions -- parameter estimation -- probability; novelty method -- utility harmonic impedance estimation -- Gaussian mixed model -- PCC -- harmonic control -- harmonic emission level -- harmonic responsibility analysis -- novel estimation method -- GMM -- Gaussian distribution -- Norton equivalent circuit model -- expectation maximisation iterative method -- existing estimation methods -- background harmonics; Electric power production -- Periodicals; Electric power transmission -- Periodicals; Electric power distribution -- Periodicals; 621.3105
• DOI: 10.1049/iet-gtd.2019.1349
• Languages: English
• ISSNs: 1751-8687

Abstract

Abstract : The accurate estimation of harmonic impedance on the utility side of a point of common coupling (PCC) is much important to harmonic control, harmonic emission level, and harmonic responsibility analysis. In this study, a novel estimation method for the utility harmonic impedance is proposed, which employs the Gaussian mixed model (GMM) to fit the measured data at a PCC, because the authors find that the statistical distribution of the measured data at a PCC is close to the Gaussian distribution. Also, in theory, GMM can approach the probability distribution of any data. In this method, the Norton equivalent circuit model at a PCC is first expressed as a GMM, and the utility harmonic impedance in the GMM is estimated by expectation maximisation iterative method. Compared to the existing estimation methods, an outstanding advantage of this method is that it is less affected by background harmonics; therefore, higher accuracy can be acquired in this method. The effectiveness and accuracy of this method are verified by simulation experiments and field data.