A Unified Impedance Model of Voltage-Source Converters with Phase-Locked Loop Effect

Xiongfei Wang; Lennart Harnefors; Frede Blaabjerg; Poh Chiang Loh

doi:10.1109/ECCE.2016.7854800

A Unified Impedance Model of Voltage-Source Converters with Phase-Locked Loop Effect

Xiongfei Wang, Lennart Harnefors, Frede Blaabjerg, Poh Chiang Loh

AAU Energy

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

34 Citations (Scopus)

Abstract

This paper proposes a unified impedance model for analyzing the effect of Phase-Locked Loop (PLL) on the stability of grid-connected voltage-source converters. In the approach, the dq-frame impedance model is transformed into the stationary αβ-frame by means of complex transfer functions and complex space vectors, which not only predicts the stability impact of the PLL, but reveals also its frequency coupling effect in the phase domain. Thus, the impedance models previously developed in the different domains can be unified. Moreover, the impedance shaping effects of PLL are structurally characterized for the current control in the rotating dq-frame and the stationary αβ-frame. Case studies based on the unified impedance model are presented, which are then verified in the time-domain simulations and experiments. The results closely correlate with the impedance-based analysis.

Original language	English
Title of host publication	Proceedings of the 2016 IEEE Energy Conversion Congress and Exposition (ECCE)
Number of pages	8
Publisher	IEEE Press
Publication date	Sept 2016
Article number	1677
ISBN (Electronic)	978-1-5090-0737-0
DOIs	https://doi.org/10.1109/ECCE.2016.7854800
Publication status	Published - Sept 2016
Event	8th Annual IEEE Energy Conversion Congress & Exposition: ECCE 2016 - Milwaukee, WI, United States Duration: 18 Sept 2016 → 22 Sept 2016 http://www.ieee-ecce.org/

Conference

Conference	8th Annual IEEE Energy Conversion Congress & Exposition
Country/Territory	United States
City	Milwaukee, WI
Period	18/09/2016 → 22/09/2016
Sponsor	IEEE, IEEE Industry Applications Society (IAS), IEEE Power Electronics and Industry Applications Societies (PELS)
Internet address	http://www.ieee-ecce.org/

Keywords

Voltage-source converters
Impedance model
Grid
Stabiity
Phase-locked loop

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10.1109/ECCE.2016.7854800

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HARMONY: HARMONY - Harmonic identification, mitigation and control in power electronics based power systems
Blaabjerg, F., Bak, C. L., Wang, X., Beres, R. N., Kwon, J., Gui, Y., Yoon, C. & Ebrahimzadeh, E.
European Research Counsil
01/02/2013 → 28/02/2018
Project: Research

Cite this

@inproceedings{5c969077c325470ba7efed981ce7b50e,

title = "A Unified Impedance Model of Voltage-Source Converters with Phase-Locked Loop Effect",

abstract = "This paper proposes a unified impedance model for analyzing the effect of Phase-Locked Loop (PLL) on the stability of grid-connected voltage-source converters. In the approach, the dq-frame impedance model is transformed into the stationary αβ-frame by means of complex transfer functions and complex space vectors, which not only predicts the stability impact of the PLL, but reveals also its frequency coupling effect in the phase domain. Thus, the impedance models previously developed in the different domains can be unified. Moreover, the impedance shaping effects of PLL are structurally characterized for the current control in the rotating dq-frame and the stationary αβ-frame. Case studies based on the unified impedance model are presented, which are then verified in the time-domain simulations and experiments. The results closely correlate with the impedance-based analysis. ",

keywords = "Voltage-source converters, Impedance model, Grid, Stabiity, Phase-locked loop ",

author = "Xiongfei Wang and Lennart Harnefors and Frede Blaabjerg and Loh, {Poh Chiang}",

year = "2016",

month = sep,

doi = "10.1109/ECCE.2016.7854800",

language = "English",

booktitle = "Proceedings of the 2016 IEEE Energy Conversion Congress and Exposition (ECCE)",

publisher = "IEEE Press",

note = " 8th Annual IEEE Energy Conversion Congress & Exposition : ECCE 2016, ECCE 2016 ; Conference date: 18-09-2016 Through 22-09-2016",

url = "http://www.ieee-ecce.org/",

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Wang, X, Harnefors, L, Blaabjerg, F & Loh, PC 2016, A Unified Impedance Model of Voltage-Source Converters with Phase-Locked Loop Effect. in Proceedings of the 2016 IEEE Energy Conversion Congress and Exposition (ECCE)., 1677, IEEE Press, 8th Annual IEEE Energy Conversion Congress & Exposition, Milwaukee, WI, United States, 18/09/2016. https://doi.org/10.1109/ECCE.2016.7854800

A Unified Impedance Model of Voltage-Source Converters with Phase-Locked Loop Effect. / Wang, Xiongfei; Harnefors, Lennart; Blaabjerg, Frede et al.
Proceedings of the 2016 IEEE Energy Conversion Congress and Exposition (ECCE). IEEE Press, 2016. 1677.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - A Unified Impedance Model of Voltage-Source Converters with Phase-Locked Loop Effect

AU - Wang, Xiongfei

AU - Harnefors, Lennart

AU - Blaabjerg, Frede

AU - Loh, Poh Chiang

PY - 2016/9

Y1 - 2016/9

N2 - This paper proposes a unified impedance model for analyzing the effect of Phase-Locked Loop (PLL) on the stability of grid-connected voltage-source converters. In the approach, the dq-frame impedance model is transformed into the stationary αβ-frame by means of complex transfer functions and complex space vectors, which not only predicts the stability impact of the PLL, but reveals also its frequency coupling effect in the phase domain. Thus, the impedance models previously developed in the different domains can be unified. Moreover, the impedance shaping effects of PLL are structurally characterized for the current control in the rotating dq-frame and the stationary αβ-frame. Case studies based on the unified impedance model are presented, which are then verified in the time-domain simulations and experiments. The results closely correlate with the impedance-based analysis.

AB - This paper proposes a unified impedance model for analyzing the effect of Phase-Locked Loop (PLL) on the stability of grid-connected voltage-source converters. In the approach, the dq-frame impedance model is transformed into the stationary αβ-frame by means of complex transfer functions and complex space vectors, which not only predicts the stability impact of the PLL, but reveals also its frequency coupling effect in the phase domain. Thus, the impedance models previously developed in the different domains can be unified. Moreover, the impedance shaping effects of PLL are structurally characterized for the current control in the rotating dq-frame and the stationary αβ-frame. Case studies based on the unified impedance model are presented, which are then verified in the time-domain simulations and experiments. The results closely correlate with the impedance-based analysis.

KW - Voltage-source converters

KW - Impedance model

KW - Grid

KW - Stabiity

KW - Phase-locked loop

U2 - 10.1109/ECCE.2016.7854800

DO - 10.1109/ECCE.2016.7854800

M3 - Article in proceeding

BT - Proceedings of the 2016 IEEE Energy Conversion Congress and Exposition (ECCE)

PB - IEEE Press

T2 - 8th Annual IEEE Energy Conversion Congress & Exposition

Y2 - 18 September 2016 through 22 September 2016

ER -

A Unified Impedance Model of Voltage-Source Converters with Phase-Locked Loop Effect

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HARMONY: HARMONY - Harmonic identification, mitigation and control in power electronics based power systems

Cite this