Model Reduction for Inverters With Current Limiting and Dispatchable Virtual Oscillator Control

This paper outlines reduced-order models for grid-forming virtual-oscillator-controlled inverters with nested current- and voltage-control loops, and current-limiting action for over-current protection. While a variety of model-reduction methods have been proposed to tame complexity in inverter mode...

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Bibliographic Details
Published in:IEEE transactions on energy conversion 2022-12, Vol.37 (4), p.2250-2259
Main Authors: Ajala, Olaoluwapo, Lu, Minghui, Johnson, Brian, Dhople, Sairaj V., Dominguez-Garcia, Alejandro
Format: Article
Language:English
Subjects:
Computational modeling
Constraining
Current limiters
Energy & Fuels
Engineering
Factor analysis
Inductance
Inverters
Mathematical models
Model reduction
Numerical models
Oscillators
power system modeling
Reduced order models
Reduced order systems
Singular perturbation
Voltage control
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Summary:This paper outlines reduced-order models for grid-forming virtual-oscillator-controlled inverters with nested current- and voltage-control loops, and current-limiting action for over-current protection. While a variety of model-reduction methods have been proposed to tame complexity in inverter models, previous efforts have not included the impact of current-reference limiting. In addition to acknowledging the current-limiting action, the reduced-order models we outline are tailored to networks with resistive and inductive interconnecting lines. Our analytical approach is centered on a smooth function approximation for the current-reference limiter, participation factor analysis to identify slow- and fast-varying states, and singular perturbation to systematically eliminate the fast states. Computational benefits and accuracy of the reduced-order models are benchmarked via numerical simulations that compare them to higher-order averaged and switched models.
ISSN:0885-8969
1558-0059
DOI:10.1109/TEC.2021.3083488