Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance

In this article, the Linear Time Invariant (LTI) and Linear Time Periodic (LTP) models of two different implementations of the DDSRF-PLL in the presence of voltage imbalance are derived analytically. The accuracy of the models is investigated with time domain simulations, frequency scans, and stabil...

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Main Authors: Lucia Beloqui Larumbe, Zian Qin, Pavol Bauer
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Open Journal of the Industrial Electronics Society
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9781849/
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author Lucia Beloqui Larumbe
Zian Qin
Pavol Bauer
author_facet Lucia Beloqui Larumbe
Zian Qin
Pavol Bauer
author_sort Lucia Beloqui Larumbe
collection DOAJ
description In this article, the Linear Time Invariant (LTI) and Linear Time Periodic (LTP) models of two different implementations of the DDSRF-PLL in the presence of voltage imbalance are derived analytically. The accuracy of the models is investigated with time domain simulations, frequency scans, and stability analysis. On top of this, a guideline for properly choosing between LTI and LTP models for stability assessment of the DDSRF-PLL according to the degree of grid voltage imbalance is proposed. Furthermore, it is revealed that, depending on the DDSRF-PLL implementation, the positive-sequence voltage might also cause LTP dynamics, rendering the LTI model inaccurate even when the imbalance is low.
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spelling doaj.art-088846ec899145cebabbac771dd665482022-12-30T00:00:28ZengIEEEIEEE Open Journal of the Industrial Electronics Society2644-12842022-01-01333935210.1109/OJIES.2022.31780429781849Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of ImbalanceLucia Beloqui Larumbe0https://orcid.org/0000-0002-4073-7811Zian Qin1https://orcid.org/0000-0002-7408-7706Pavol Bauer2https://orcid.org/0000-0002-1171-9972DC Systems, Energy Conversion and Storage Research Group at the Delft University of Technology, Delft, The NetherlandsDC Systems, Energy Conversion and Storage Research Group at the Delft University of Technology, Delft, The NetherlandsDC Systems, Energy Conversion and Storage Research Group at the Delft University of Technology, Delft, The NetherlandsIn this article, the Linear Time Invariant (LTI) and Linear Time Periodic (LTP) models of two different implementations of the DDSRF-PLL in the presence of voltage imbalance are derived analytically. The accuracy of the models is investigated with time domain simulations, frequency scans, and stability analysis. On top of this, a guideline for properly choosing between LTI and LTP models for stability assessment of the DDSRF-PLL according to the degree of grid voltage imbalance is proposed. Furthermore, it is revealed that, depending on the DDSRF-PLL implementation, the positive-sequence voltage might also cause LTP dynamics, rendering the LTI model inaccurate even when the imbalance is low.https://ieeexplore.ieee.org/document/9781849/DDSRF-PLLLinear Time PeriodicLVRTsmall-signal stabilityunbalanced systemvoltage imbalance
spellingShingle Lucia Beloqui Larumbe
Zian Qin
Pavol Bauer
Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance
IEEE Open Journal of the Industrial Electronics Society
DDSRF-PLL
Linear Time Periodic
LVRT
small-signal stability
unbalanced system
voltage imbalance
title Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance
title_full Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance
title_fullStr Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance
title_full_unstemmed Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance
title_short Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance
title_sort guidelines for stability analysis of the ddsrf pll using lti and ltp modelling in the presence of imbalance
topic DDSRF-PLL
Linear Time Periodic
LVRT
small-signal stability
unbalanced system
voltage imbalance
url https://ieeexplore.ieee.org/document/9781849/
work_keys_str_mv AT luciabeloquilarumbe guidelinesforstabilityanalysisoftheddsrfpllusingltiandltpmodellinginthepresenceofimbalance
AT zianqin guidelinesforstabilityanalysisoftheddsrfpllusingltiandltpmodellinginthepresenceofimbalance
AT pavolbauer guidelinesforstabilityanalysisoftheddsrfpllusingltiandltpmodellinginthepresenceofimbalance