A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic Sources

The integration of large-scale power electronic equipment has intensified harmonic issues in power systems. Accurate harmonic models are fundamental for evaluating and mitigating harmonic problems, but existing models still exhibit deficiencies in harmonic mechanism, model complexity and accuracy. T...

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Main Authors: Youhang Yang, Shaorong Wang, Mingming Shi, Xian Zheng
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/2/582
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author Youhang Yang
Shaorong Wang
Mingming Shi
Xian Zheng
author_facet Youhang Yang
Shaorong Wang
Mingming Shi
Xian Zheng
author_sort Youhang Yang
collection DOAJ
description The integration of large-scale power electronic equipment has intensified harmonic issues in power systems. Accurate harmonic models are fundamental for evaluating and mitigating harmonic problems, but existing models still exhibit deficiencies in harmonic mechanism, model complexity and accuracy. This work proposes a calculation method of crossed frequency admittance matrix (CFAM) analytical model based on piecewise linearization, aiming to achieve accurate modeling of phase-controlled power electronic harmonic sources. Firstly, the traditional CFAM model construction methods are introduced, and the shortcomings in harmonic modeling are discussed. Subsequently, the parameter-solving process of the CFAM analytical model based on piecewise linearization is proposed. This method improves the accuracy of harmonic modeling and simplifies the construction process of the analytical model. Furthermore, taking single-phase and three-phase bridge rectifiers as examples, CFAM analytical models under intermittent and continuous load current conditions are established, respectively, and the unified harmonic models for both conditions are summarized. Finally, case studies of rectifier harmonic sources under varying circuit control parameters and supply voltage distortions are conducted through Matlab/Simulink and experiments. The results demonstrate that the proposed method provides higher accuracy and more stable performance for harmonic current estimation compared with the traditional CFAM model and constant current source model.
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institution Kabale University
issn 1424-8220
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spelling doaj-art-113318f5777b45f1956328fe485bc5de2025-01-24T13:49:26ZengMDPI AGSensors1424-82202025-01-0125258210.3390/s25020582A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic SourcesYouhang Yang0Shaorong Wang1Mingming Shi2Xian Zheng3School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaElectric Power Research Institute of State Grid Jiangsu Electric Power Company, Nanjing 211103, ChinaElectric Power Research Institute of State Grid Jiangsu Electric Power Company, Nanjing 211103, ChinaThe integration of large-scale power electronic equipment has intensified harmonic issues in power systems. Accurate harmonic models are fundamental for evaluating and mitigating harmonic problems, but existing models still exhibit deficiencies in harmonic mechanism, model complexity and accuracy. This work proposes a calculation method of crossed frequency admittance matrix (CFAM) analytical model based on piecewise linearization, aiming to achieve accurate modeling of phase-controlled power electronic harmonic sources. Firstly, the traditional CFAM model construction methods are introduced, and the shortcomings in harmonic modeling are discussed. Subsequently, the parameter-solving process of the CFAM analytical model based on piecewise linearization is proposed. This method improves the accuracy of harmonic modeling and simplifies the construction process of the analytical model. Furthermore, taking single-phase and three-phase bridge rectifiers as examples, CFAM analytical models under intermittent and continuous load current conditions are established, respectively, and the unified harmonic models for both conditions are summarized. Finally, case studies of rectifier harmonic sources under varying circuit control parameters and supply voltage distortions are conducted through Matlab/Simulink and experiments. The results demonstrate that the proposed method provides higher accuracy and more stable performance for harmonic current estimation compared with the traditional CFAM model and constant current source model.https://www.mdpi.com/1424-8220/25/2/582power qualityharmonic source modelphase-controlled power electronic equipmentpiecewise linearizationcrossed frequency admittance matrixanalytical model
spellingShingle Youhang Yang
Shaorong Wang
Mingming Shi
Xian Zheng
A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic Sources
Sensors
power quality
harmonic source model
phase-controlled power electronic equipment
piecewise linearization
crossed frequency admittance matrix
analytical model
title A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic Sources
title_full A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic Sources
title_fullStr A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic Sources
title_full_unstemmed A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic Sources
title_short A Piecewise Linearization Based Method for Crossed Frequency Admittance Matrix Model Calculation of Harmonic Sources
title_sort piecewise linearization based method for crossed frequency admittance matrix model calculation of harmonic sources
topic power quality
harmonic source model
phase-controlled power electronic equipment
piecewise linearization
crossed frequency admittance matrix
analytical model
url https://www.mdpi.com/1424-8220/25/2/582
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