Open AccessCircular regression models of modern harmonic producing sources
Author(s) -
Babaev Stanislav,
Singh Ravi Shankar,
Cobben Sjef,
Ćuk Vladimir,
Desmet Jan
Publication year - 2020
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2019.1587
Subject(s) - harmonic , phase angle (astronomy) , mathematics , harmonic analysis , voltage , trigonometric functions , von mises distribution , sine , algebraic equation , control theory (sociology) , mathematical analysis , computer science , engineering , nonlinear system , acoustics , geometry , physics , optics , electrical engineering , von mises yield criterion , structural engineering , control (management) , quantum mechanics , finite element method , artificial intelligence
This study presents a novel measurement‐based method for modelling harmonic current injections of low‐voltage power electronics equipment. The aim of the developed methodology is to accurately represent harmonic current phase angle in response to the applied harmonic background voltage at the terminals of modelled device. In this method, the harmonic angles are analysed with the techniques of circular statistics. The performed study proves the adequacy of representing phase angles as sets of directional data rather than linear. After graphical and quantitative analysis, the regression models with underlying von Mises distribution are derived in the form of algebraic equation. This algebraic equation features sine and cosine terms and explains relationship between independent variable – voltage harmonic angle and dependent variable – current harmonic angle. The subsequent analysis of the residuals allows to conclude that models developed by applying this technique can be used in commercial simulation packages and allow to account on any value of background harmonic voltage angle.