Modeling and Stability Assessment of Single-Phase Grid Synchronization Techniques

Linear Time-Periodic versus Linear Time-Invariant Frameworks

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Resumé

The grid synchronization unit, which is often based on a frequency-locked loop (FLL) or a phase-locked loop (PLL), highly affects the power converter performance and stability, particularly under weak grid conditions. It implies that a careful stability assessment of grid synchronization techniques (GSTs) is of vital importance. This task is most often based on obtaining a linear time-invariant (LTI) model for the GST and applying standard stability tests to it. Another option is modeling and dynamics/stability assessment of GSTs in the linear time-periodic (LTP) framework, which has received a very little attention. In this letter, the procedure of deriving the LTP model for single-phase GSTs is first demonstrated. The accuracy of the LTP model in predicting the GST dynamic behavior and stability is then evaluated and compared with that of the LTI one. Two well-known single-phase GSTs, i.e., the second-order generalized integrator-based FLL (SOGI-FLL) and enhanced PLL (EPLL), are considered as the case studies.
OriginalsprogEngelsk
Artikelnummer8357505
TidsskriftIEEE Transactions on Power Electronics
Vol/bind34
Udgave nummer1
Sider (fra-til)20-27
Antal sider8
ISSN0885-8993
DOI
StatusUdgivet - jan. 2019

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Synchronization
Phase locked loops
Power converters

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title = "Modeling and Stability Assessment of Single-Phase Grid Synchronization Techniques: Linear Time-Periodic versus Linear Time-Invariant Frameworks",
abstract = "The grid synchronization unit, which is often based on a frequency-locked loop (FLL) or a phase-locked loop (PLL), highly affects the power converter performance and stability, particularly under weak grid conditions. It implies that a careful stability assessment of grid synchronization techniques (GSTs) is of vital importance. This task is most often based on obtaining a linear time-invariant (LTI) model for the GST and applying standard stability tests to it. Another option is modeling and dynamics/stability assessment of GSTs in the linear time-periodic (LTP) framework, which has received a very little attention. In this letter, the procedure of deriving the LTP model for single-phase GSTs is first demonstrated. The accuracy of the LTP model in predicting the GST dynamic behavior and stability is then evaluated and compared with that of the LTI one. Two well-known single-phase GSTs, i.e., the second-order generalized integrator-based FLL (SOGI-FLL) and enhanced PLL (EPLL), are considered as the case studies.",
keywords = "Frequency locked loop (FLL), Generalized inverse Nyquist stability criterion, Harmonic transfer function, Linear time-periodic (LTP) systems, Modeling, Phase-locked loop (PLL), Single-phase systems, Stability analysis, Synchronization",
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T2 - Linear Time-Periodic versus Linear Time-Invariant Frameworks

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AU - Guerrero, Josep M.

AU - Vasquez, Juan

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N2 - The grid synchronization unit, which is often based on a frequency-locked loop (FLL) or a phase-locked loop (PLL), highly affects the power converter performance and stability, particularly under weak grid conditions. It implies that a careful stability assessment of grid synchronization techniques (GSTs) is of vital importance. This task is most often based on obtaining a linear time-invariant (LTI) model for the GST and applying standard stability tests to it. Another option is modeling and dynamics/stability assessment of GSTs in the linear time-periodic (LTP) framework, which has received a very little attention. In this letter, the procedure of deriving the LTP model for single-phase GSTs is first demonstrated. The accuracy of the LTP model in predicting the GST dynamic behavior and stability is then evaluated and compared with that of the LTI one. Two well-known single-phase GSTs, i.e., the second-order generalized integrator-based FLL (SOGI-FLL) and enhanced PLL (EPLL), are considered as the case studies.

AB - The grid synchronization unit, which is often based on a frequency-locked loop (FLL) or a phase-locked loop (PLL), highly affects the power converter performance and stability, particularly under weak grid conditions. It implies that a careful stability assessment of grid synchronization techniques (GSTs) is of vital importance. This task is most often based on obtaining a linear time-invariant (LTI) model for the GST and applying standard stability tests to it. Another option is modeling and dynamics/stability assessment of GSTs in the linear time-periodic (LTP) framework, which has received a very little attention. In this letter, the procedure of deriving the LTP model for single-phase GSTs is first demonstrated. The accuracy of the LTP model in predicting the GST dynamic behavior and stability is then evaluated and compared with that of the LTI one. Two well-known single-phase GSTs, i.e., the second-order generalized integrator-based FLL (SOGI-FLL) and enhanced PLL (EPLL), are considered as the case studies.

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KW - Generalized inverse Nyquist stability criterion

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KW - Linear time-periodic (LTP) systems

KW - Modeling

KW - Phase-locked loop (PLL)

KW - Single-phase systems

KW - Stability analysis

KW - Synchronization

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