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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Format: | Article |
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IEEE
2022-01-01
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Series: | IEEE Open Journal of the Industrial Electronics Society |
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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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format | Article |
id | doaj.art-088846ec899145cebabbac771dd66548 |
institution | Directory Open Access Journal |
issn | 2644-1284 |
language | English |
last_indexed | 2024-04-11T04:24:32Z |
publishDate | 2022-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Open Journal of the Industrial Electronics Society |
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 |