LAPSE:2023.23882
Published Article
LAPSE:2023.23882
A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design
March 27, 2023
In this work, a synchronous model for grid-connected and islanded microgrids is presented. The grid-connected model is based on the premise that the reference frame is synchronized with the AC bus. The quadrature component of the AC bus voltage can be cancelled, which allows to express output power as a linear equation for nominal values in the AC bus amplitude voltage. The model for the islanded microgrid is developed by integrating all the inverter dynamics using a state-space model for the load currents. This model is presented in a comprehensive way such that it could be scalable to any number of inverter-based generators using inductor−capacitor−inductor (LCL) output filters. The use of these models allows designers to assess microgrid stability and robustness using modern control methods such as eigenvalue analysis and singular value diagrams. Both models were tested and validated in an experimental setup to demonstrate their accuracy in describing microgrid dynamics. In addition, three scenarios are presented: non-controlled model, Linear-Quadratic Integrator (LQI) power control, and Power-Voltage (PQ/Vdq) droop−boost controller. Experimental results demonstrate the effectiveness of the control strategies and the accuracy of the models to describe microgrid dynamics.
Keywords
inverter control, LQI, microgrid, Modelling, optimal control, stability analysis
Suggested Citation
Patarroyo-Montenegro JF, Vasquez-Plaza JD, Andrade F. A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design. (2023). LAPSE:2023.23882
Author Affiliations
Patarroyo-Montenegro JF: Sustainable Energy Center, University of Puerto Rico, Mayagüez, PR 00680, USA [ORCID]
Vasquez-Plaza JD: Sustainable Energy Center, University of Puerto Rico, Mayagüez, PR 00680, USA
Andrade F: Sustainable Energy Center, University of Puerto Rico, Mayagüez, PR 00680, USA [ORCID]
Journal Name
Energies
Volume
13
Issue
12
Article Number
E3279
Year
2020
Publication Date
2020-06-25
Published Version
ISSN
1996-1073
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Original Submission
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PII: en13123279, Publication Type: Journal Article
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LAPSE:2023.23882
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doi:10.3390/en13123279
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Mar 27, 2023
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