Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control Loop

This paper develops the impedance models of grid-connected converters under the virtual synchronous generator (VSG) strategy with a cascaded inner control loop and analyzes the system stability of VSG controlled converters with different kinds of weak grid. Different from existing small-signal model...

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Main Authors: Yunyang Xu, Heng Nian, Yangming Wang, Dan Sun
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/19/5114
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author Yunyang Xu
Heng Nian
Yangming Wang
Dan Sun
author_facet Yunyang Xu
Heng Nian
Yangming Wang
Dan Sun
author_sort Yunyang Xu
collection DOAJ
description This paper develops the impedance models of grid-connected converters under the virtual synchronous generator (VSG) strategy with a cascaded inner control loop and analyzes the system stability of VSG controlled converters with different kinds of weak grid. Different from existing small-signal models with high dimensions, a single-in-single-out (SISO) impedance model with simple mathematical expression is obtained in this paper, which is applied to identify the influence of the cascaded control loop on impedance characteristics and system stability. It is found that the impedance characteristics of VSG controlled converters can become capacitive below the fundamental frequency, and it is mainly caused by the voltage controller in the cascaded control loop of the VSG strategy. Impedance-based stability analysis shows that the capacitive impedance characteristics can benefit the compatibility of converters operated with the series-compensated weak grid, but may deteriorate the system stability with the inductive weak grid, which can be avoided by increasing the proportional coefficients of the cascaded voltage and current controllers or applying a larger virtual resistor to reduce the negative resistance in the capacitive frequency range. Experiments based on the control-hardware-in-loop (CHIL) platform were carried out to verify the developed analytical models and possible system instable cases.
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spelling doaj.art-7ce0d243e83a48319e4266aae2f01f612023-11-20T15:47:27ZengMDPI AGEnergies1996-10732020-10-011319511410.3390/en13195114Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control LoopYunyang Xu0Heng Nian1Yangming Wang2Dan Sun3College of Electrical Engineering, Zhejiang University, Hangzhou 310027, ChinaCollege of Electrical Engineering, Zhejiang University, Hangzhou 310027, ChinaCollege of Electrical Engineering, Zhejiang University, Hangzhou 310027, ChinaCollege of Electrical Engineering, Zhejiang University, Hangzhou 310027, ChinaThis paper develops the impedance models of grid-connected converters under the virtual synchronous generator (VSG) strategy with a cascaded inner control loop and analyzes the system stability of VSG controlled converters with different kinds of weak grid. Different from existing small-signal models with high dimensions, a single-in-single-out (SISO) impedance model with simple mathematical expression is obtained in this paper, which is applied to identify the influence of the cascaded control loop on impedance characteristics and system stability. It is found that the impedance characteristics of VSG controlled converters can become capacitive below the fundamental frequency, and it is mainly caused by the voltage controller in the cascaded control loop of the VSG strategy. Impedance-based stability analysis shows that the capacitive impedance characteristics can benefit the compatibility of converters operated with the series-compensated weak grid, but may deteriorate the system stability with the inductive weak grid, which can be avoided by increasing the proportional coefficients of the cascaded voltage and current controllers or applying a larger virtual resistor to reduce the negative resistance in the capacitive frequency range. Experiments based on the control-hardware-in-loop (CHIL) platform were carried out to verify the developed analytical models and possible system instable cases.https://www.mdpi.com/1996-1073/13/19/5114impedance modelsmall-signal modelingsystem stabilityvirtual synchronous generator (VSG)weak grid
spellingShingle Yunyang Xu
Heng Nian
Yangming Wang
Dan Sun
Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control Loop
Energies
impedance model
small-signal modeling
system stability
virtual synchronous generator (VSG)
weak grid
title Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control Loop
title_full Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control Loop
title_fullStr Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control Loop
title_full_unstemmed Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control Loop
title_short Impedance Modeling and Stability Analysis of VSG Controlled Grid-Connected Converters with Cascaded Inner Control Loop
title_sort impedance modeling and stability analysis of vsg controlled grid connected converters with cascaded inner control loop
topic impedance model
small-signal modeling
system stability
virtual synchronous generator (VSG)
weak grid
url https://www.mdpi.com/1996-1073/13/19/5114
work_keys_str_mv AT yunyangxu impedancemodelingandstabilityanalysisofvsgcontrolledgridconnectedconverterswithcascadedinnercontrolloop
AT hengnian impedancemodelingandstabilityanalysisofvsgcontrolledgridconnectedconverterswithcascadedinnercontrolloop
AT yangmingwang impedancemodelingandstabilityanalysisofvsgcontrolledgridconnectedconverterswithcascadedinnercontrolloop
AT dansun impedancemodelingandstabilityanalysisofvsgcontrolledgridconnectedconverterswithcascadedinnercontrolloop