Optimal Control of an Inverter-based Virtual Synchronous Generator with Inertial Response



Nonlinear control, Optimal control, Renewable energy, DC-AC converters, Inertial Response, Reactive Power


Renewable energy sources are gradually replacing conventional synchronous generators, which are responsible for supplying the power grid inertia damping properties. This paper proposes a nonlinear optimal controller for a renewable energy generation system based on a power electronics inverter, in order to incorporate the system inertia behavior through imitating the rotor inertia of synchronous generators. The main contributions of this paper are: 1) the modeling and synthesis of a nonlinear optimal control scheme for a power inverter such that it dynamically behaves as a conventional synchronous generator, where the active and reactive power are regulated, and provides robustness against utility grid disturbances; 2) the dynamical modeling of the virtual inertia-based inverter generator and its corresponding response to power reference variations and utility grid voltage disturbances. Further, an analysis procedure is presented to compute a predefined value of the inverter inertia constant, proportional to the one that a synchronous generator could provide, but taking into account the rated power of the generator. Simulation results assess the proposed methodology effectiveness


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Author Biographies

Macario Zavala-Tinajero, Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo

Macario Zavala-Tinajero was born in Morelia, Mexico, in 1987. He received the B. Sc. in electrical engineering from the Instituto Tecnológico de Morelia (ITM), Morelia, Mexico in 2013, and the M. Sc. in electrical engineering from the Universidad Michoacana de San Nicolás de Hidalgo (UMSNH) in 2017. His research interests are control applied in power electronics, electrical power systems and electrical machines.

Fernando Ornelas-Tellez, Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo

Fernando Ornelas-Tellez received the B.Sc. degree from the Instituto Tecnologico de Morelia (ITM), Morelia, Mexico, in 2005 and the M.Sc. and D.Sc. degrees in electrical engineering from the Advanced Studies and Research Center, National Polytechnic Institute (CINVESTAV-IPN), Guadalajara, Mexico, in 2008 and 2011, respectively. His research interest centers on dynamical system modeling, neural control, optimal control, passivity and their applications to robots, electrical machines, and power electronics.

Norberto García-Barriga, Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo

Norberto Garcia-Barriga received the degree in electrical engineering from the Universidad Michoacana de San Nicolás de Hidalgo (UMSNH), Morelia, México, in 1993. He received the M.Sc. degree from the UMSNH, México, in 1999 and the Ph.D. degree from the University of Glasgow, Scotland, in 2003. Currently, he is a Research Professor at the Facultad de Ingeniería Eléctrica, UMSNH, Morelia. His areas of interest are power quality, power electronics, renewable sources of energy, and the integration of electric vehicles to the power grid.


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How to Cite

Zavala Tinajero, M., Ornelas-Tellez, F., & Garcia-Barriga, N. (2021). Optimal Control of an Inverter-based Virtual Synchronous Generator with Inertial Response. IEEE Latin America Transactions, 100(XXX). Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/5937

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