A Numerical Matrix-Based Method for Stability and Power Quality Studies Based on Harmonic Transfer Functions

Mohammadkazem Bakhshizadeh Dowlatabadi, Frede Blaabjerg, Jesper Hjerrild, Xiongfei Wang, Łukasz Hubert Kocewiak, Claus Leth Bak

Research output: Contribution to journalJournal articleResearchpeer-review

3 Citations (Scopus)
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Abstract

Some couplings exist between the positive- and negative-sequence impedances of a voltage sourced power converter especially in the low frequency range due to the nonlinearities and low bandwidth control loops like the PLL. In this paper, a new numerical method based on the Harmonic Transfer Function for analysis of the Linear Time Periodic systems is presented, which is able to handle these couplings. In a balanced three-phase system, there is only one coupling term, but in an unbalanced (asymmetrical) system, there are more couplings, and therefore, in order to study the interactions between these couplings a matrix based method should be used. No information about the structure of the converter is needed and elements are modelled as black boxes with known terminal characteristics. The proposed method is applicable for both power quality (harmonic and inter-harmonic emissions) and stability studies, which is verified by simulations in this paper.
Original languageEnglish
JournalI E E E Journal of Emerging and Selected Topics in Power Electronics
Volume5
Issue number4
Pages (from-to)1542 - 1552
Number of pages11
ISSN2168-6777
DOIs
Publication statusPublished - Dec 2017

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Harmonic functions
Control nonlinearities
Time varying systems
Power converters
Phase locked loops
Power quality
Transfer functions
Numerical methods
Bandwidth
Electric potential

Keywords

  • Asymmetry
  • Black box modelling
  • Current control
  • Frequency coupling
  • Power converter
  • Unbalanced systems

Cite this

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title = "A Numerical Matrix-Based Method for Stability and Power Quality Studies Based on Harmonic Transfer Functions",
abstract = "Some couplings exist between the positive- and negative-sequence impedances of a voltage sourced power converter especially in the low frequency range due to the nonlinearities and low bandwidth control loops like the PLL. In this paper, a new numerical method based on the Harmonic Transfer Function for analysis of the Linear Time Periodic systems is presented, which is able to handle these couplings. In a balanced three-phase system, there is only one coupling term, but in an unbalanced (asymmetrical) system, there are more couplings, and therefore, in order to study the interactions between these couplings a matrix based method should be used. No information about the structure of the converter is needed and elements are modelled as black boxes with known terminal characteristics. The proposed method is applicable for both power quality (harmonic and inter-harmonic emissions) and stability studies, which is verified by simulations in this paper.",
keywords = "Asymmetry, Black box modelling, Current control, Frequency coupling, Power converter, Unbalanced systems",
author = "Dowlatabadi, {Mohammadkazem Bakhshizadeh} and Frede Blaabjerg and Jesper Hjerrild and Xiongfei Wang and Kocewiak, {Łukasz Hubert} and Bak, {Claus Leth}",
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language = "English",
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A Numerical Matrix-Based Method for Stability and Power Quality Studies Based on Harmonic Transfer Functions. / Dowlatabadi, Mohammadkazem Bakhshizadeh; Blaabjerg, Frede; Hjerrild, Jesper; Wang, Xiongfei; Kocewiak, Łukasz Hubert; Bak, Claus Leth.

In: I E E E Journal of Emerging and Selected Topics in Power Electronics, Vol. 5, No. 4, 12.2017, p. 1542 - 1552.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A Numerical Matrix-Based Method for Stability and Power Quality Studies Based on Harmonic Transfer Functions

AU - Dowlatabadi, Mohammadkazem Bakhshizadeh

AU - Blaabjerg, Frede

AU - Hjerrild, Jesper

AU - Wang, Xiongfei

AU - Kocewiak, Łukasz Hubert

AU - Bak, Claus Leth

PY - 2017/12

Y1 - 2017/12

N2 - Some couplings exist between the positive- and negative-sequence impedances of a voltage sourced power converter especially in the low frequency range due to the nonlinearities and low bandwidth control loops like the PLL. In this paper, a new numerical method based on the Harmonic Transfer Function for analysis of the Linear Time Periodic systems is presented, which is able to handle these couplings. In a balanced three-phase system, there is only one coupling term, but in an unbalanced (asymmetrical) system, there are more couplings, and therefore, in order to study the interactions between these couplings a matrix based method should be used. No information about the structure of the converter is needed and elements are modelled as black boxes with known terminal characteristics. The proposed method is applicable for both power quality (harmonic and inter-harmonic emissions) and stability studies, which is verified by simulations in this paper.

AB - Some couplings exist between the positive- and negative-sequence impedances of a voltage sourced power converter especially in the low frequency range due to the nonlinearities and low bandwidth control loops like the PLL. In this paper, a new numerical method based on the Harmonic Transfer Function for analysis of the Linear Time Periodic systems is presented, which is able to handle these couplings. In a balanced three-phase system, there is only one coupling term, but in an unbalanced (asymmetrical) system, there are more couplings, and therefore, in order to study the interactions between these couplings a matrix based method should be used. No information about the structure of the converter is needed and elements are modelled as black boxes with known terminal characteristics. The proposed method is applicable for both power quality (harmonic and inter-harmonic emissions) and stability studies, which is verified by simulations in this paper.

KW - Asymmetry

KW - Black box modelling

KW - Current control

KW - Frequency coupling

KW - Power converter

KW - Unbalanced systems

U2 - 10.1109/JESTPE.2017.2742241

DO - 10.1109/JESTPE.2017.2742241

M3 - Journal article

VL - 5

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JO - I E E E Journal of Emerging and Selected Topics in Power Electronics

JF - I E E E Journal of Emerging and Selected Topics in Power Electronics

SN - 2168-6777

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