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

Lucia Beloqui Larumbe; Zian Qin; Pavol Bauer

doi:10.1109/OJIES.2022.3178042

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

Lucia Beloqui Larumbe, Zian Qin^*, Pavol Bauer

^*Corresponding author for this work

DC systems, Energy conversion & Storage

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

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Abstract

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.

Original language	English
Article number	9781849
Pages (from-to)	339-352
Number of pages	14
Journal	IEEE Open Journal of the Industrial Electronics Society
Volume	3
DOIs	https://doi.org/10.1109/OJIES.2022.3178042
Publication status	Published - 2022

Keywords

DDSRF-PLL
Linear Time Periodic
LVRT
small-signal stability
unbalanced system
voltage imbalance

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10.1109/OJIES.2022.3178042

Guidelines_for_Stability_Analysis_of_the_DDSRF-PLL_Using_LTI_and_LTP_Modelling_in_the_Presence_of_ImbalanceFinal published version, 4.86 MBLicence: CC BY

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

abstract = "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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T1 - Guidelines for Stability Analysis of the DDSRF-PLL Using LTI and LTP Modelling in the Presence of Imbalance

AU - Beloqui Larumbe, Lucia

AU - Qin, Zian

AU - Bauer, Pavol

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - DDSRF-PLL

KW - Linear Time Periodic

KW - LVRT

KW - small-signal stability

KW - unbalanced system

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JO - IEEE Open Journal of the Industrial Electronics Society

JF - IEEE Open Journal of the Industrial Electronics Society

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

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