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Title: A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design

Abstract

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.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
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  1. Univ. of Puerto Rico, Mayaguez, PR (United States)
Publication Date:
Research Org.:
Univ. of Alaska, Fairbanks, AK (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Energy Efficiency and Renewable Energy (EERE); USDOE Office of Electricity (OE)
OSTI Identifier:
1771377
Grant/Contract Number:  
SC0020281
Resource Type:
Accepted Manuscript
Journal Name:
Energies
Additional Journal Information:
Journal Volume: 13; Journal Issue: 12; Journal ID: ISSN 1996-1073
Publisher:
MDPI AG
Country of Publication:
United States
Language:
English
Subject:
24 POWER TRANSMISSION AND DISTRIBUTION; inverter control; LQI; microgrid; modeling; optimal control; stability analysis

Citation Formats

Patarroyo-Montenegro, Juan F., Vasquez-Plaza, Jesus D., and Andrade, Fabio. A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design. United States: N. p., 2020. Web. doi:10.3390/en13123279.
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Patarroyo-Montenegro, Juan F., Vasquez-Plaza, Jesus D., & Andrade, Fabio. A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design. United States. https://doi.org/10.3390/en13123279
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Patarroyo-Montenegro, Juan F., Vasquez-Plaza, Jesus D., and Andrade, Fabio. Thu . "A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design". United States. https://doi.org/10.3390/en13123279. https://www.osti.gov/servlets/purl/1771377.
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@article{osti_1771377,
title = {A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design},
author = {Patarroyo-Montenegro, Juan F. and Vasquez-Plaza, Jesus D. and Andrade, Fabio},
abstractNote = {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.},
doi = {10.3390/en13123279},
journal = {Energies},
number = 12,
volume = 13,
place = {United States},
year = {Thu Jun 25 00:00:00 EDT 2020},
month = {Thu Jun 25 00:00:00 EDT 2020}
}
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    Works referencing / citing this record:

    Design of a Hybrid Energy System with Energy Storage for Standalone DC Microgrid Application
    journal, September 2021

    • Juma, Mwaka I.; Mwinyiwiwa, Bakari M. M.; Msigwa, Consalva J.
    • Energies, Vol. 14, Issue 18
    • DOI: 10.3390/en14185994
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