A Small Signal Rotating Frame Model of a Self-synchronizing Single-phase Grid-tied Inverter

A self-synchronizing grid-tied inverter uses the internal dynamic states of the current regulator to estimate the grid voltage for synchronization. The stability analysis of a single-phase grid-tied inverter is complex because of the lack of an orthogonal channel and non-linearities present due to t...

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Bibliographic Details
Main Authors: Agrawal, R., McGrath, B. P., Teixeira, C. A., Wilkinson, R. H.
Format: Conference Proceeding
Language:English
Subjects:
Analytical models
Asia
Computational modeling
Floquet theory
Inverters
Jacobian matrices
periodic state space model
Power system stability
Predictive models
self-synchronizing
Single phase inverter
stability analysis
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Description
Summary:A self-synchronizing grid-tied inverter uses the internal dynamic states of the current regulator to estimate the grid voltage for synchronization. The stability analysis of a single-phase grid-tied inverter is complex because of the lack of an orthogonal channel and non-linearities present due to the phase-locked loop (PLL). This paper introduces fictitious orthogonal quantities for a single-phase grid-tied inverter, creating a model in the synchronous reference frame. This approach enables Jacobian linearization to develop a small-signal inverter model. The stability analysis of the small-signal model using Floquet theory then allows for stability boundaries to be determined across a wide range of operating conditions. The model has been validated using detailed switched simulations of a single-phase grid-tied inverter with matching experimental results.
ISSN:2150-6086
DOI:10.23919/ICPE2023-ECCEAsia54778.2023.10213513