Harmonic Analysis of Type-3 Wind Turbines Subject to Grid Unbalance

The objective of this paper is to adequately model a doubly-fed induction generator (DFIG)-based type-3 wind turbine under grid unbalance by considering not only positive and negative-sequence circuits but also the 3rd harmonic circuit. This 3rd harmonic is a positive sequence component caused by fr...

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Main Authors: Mohammed Alqahtani, Zhixin Miao, Lingling Fan
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Open Access Journal of Power and Energy
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10124044/
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author Mohammed Alqahtani
Zhixin Miao
Lingling Fan
author_facet Mohammed Alqahtani
Zhixin Miao
Lingling Fan
author_sort Mohammed Alqahtani
collection DOAJ
description The objective of this paper is to adequately model a doubly-fed induction generator (DFIG)-based type-3 wind turbine under grid unbalance by considering not only positive and negative-sequence circuits but also the 3rd harmonic circuit. This 3rd harmonic is a positive sequence component caused by frequency coupling with the negative-sequence 60-Hz component. It is not a zero-sequence component and cannot be got rid of by delta-connected transformers. Hence, accurate modeling is necessary to capture this harmonic component. In addition to modeling, we design an efficient algorithm for steady-state analysis by formulating the steady-state analysis problem as an optimization problem. A set of equality constraints has been formed to reflect the relationship of voltage, current, and power in the ac circuits, the dc circuit, and the different frames. This formulation is defined in YALMIP, a MATLAB interface for optimization problems. The optimization problem is then solved by a nonlinear optimization solver. The results of the steady-state analysis are phasors of harmonic components at steady state. They have been validated by the phasors obtained from Fourier transforms of electromagnetic transient (EMT) simulation results. The paper contributes to both the sophisticated phasor model of DFIG with consideration of grid unbalance and the efficient computing procedure of steady-state analysis by use of advanced solvers.
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spelling doaj.art-9aa1f10ac9ee4ee9b7bbe8810bd2fba12024-01-19T00:01:23ZengIEEEIEEE Open Access Journal of Power and Energy2687-79102023-01-011045046210.1109/OAJPE.2023.327581010124044Harmonic Analysis of Type-3 Wind Turbines Subject to Grid UnbalanceMohammed Alqahtani0https://orcid.org/0000-0002-6811-8318Zhixin Miao1https://orcid.org/0000-0001-5623-4074Lingling Fan2https://orcid.org/0000-0002-4686-1602Electrical Engineering Department, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi ArabiaDepartment of Electrical Engineering, University of South Florida, Tampa, FL, USADepartment of Electrical Engineering, University of South Florida, Tampa, FL, USAThe objective of this paper is to adequately model a doubly-fed induction generator (DFIG)-based type-3 wind turbine under grid unbalance by considering not only positive and negative-sequence circuits but also the 3rd harmonic circuit. This 3rd harmonic is a positive sequence component caused by frequency coupling with the negative-sequence 60-Hz component. It is not a zero-sequence component and cannot be got rid of by delta-connected transformers. Hence, accurate modeling is necessary to capture this harmonic component. In addition to modeling, we design an efficient algorithm for steady-state analysis by formulating the steady-state analysis problem as an optimization problem. A set of equality constraints has been formed to reflect the relationship of voltage, current, and power in the ac circuits, the dc circuit, and the different frames. This formulation is defined in YALMIP, a MATLAB interface for optimization problems. The optimization problem is then solved by a nonlinear optimization solver. The results of the steady-state analysis are phasors of harmonic components at steady state. They have been validated by the phasors obtained from Fourier transforms of electromagnetic transient (EMT) simulation results. The paper contributes to both the sophisticated phasor model of DFIG with consideration of grid unbalance and the efficient computing procedure of steady-state analysis by use of advanced solvers.https://ieeexplore.ieee.org/document/10124044/Type-3 wind turbinesunbalanced grid conditionharmonicsphasor models
spellingShingle Mohammed Alqahtani
Zhixin Miao
Lingling Fan
Harmonic Analysis of Type-3 Wind Turbines Subject to Grid Unbalance
IEEE Open Access Journal of Power and Energy
Type-3 wind turbines
unbalanced grid condition
harmonics
phasor models
title Harmonic Analysis of Type-3 Wind Turbines Subject to Grid Unbalance
title_full Harmonic Analysis of Type-3 Wind Turbines Subject to Grid Unbalance
title_fullStr Harmonic Analysis of Type-3 Wind Turbines Subject to Grid Unbalance
title_full_unstemmed Harmonic Analysis of Type-3 Wind Turbines Subject to Grid Unbalance
title_short Harmonic Analysis of Type-3 Wind Turbines Subject to Grid Unbalance
title_sort harmonic analysis of type 3 wind turbines subject to grid unbalance
topic Type-3 wind turbines
unbalanced grid condition
harmonics
phasor models
url https://ieeexplore.ieee.org/document/10124044/
work_keys_str_mv AT mohammedalqahtani harmonicanalysisoftype3windturbinessubjecttogridunbalance
AT zhixinmiao harmonicanalysisoftype3windturbinessubjecttogridunbalance
AT linglingfan harmonicanalysisoftype3windturbinessubjecttogridunbalance