NDLI: Voltage stabilization in microgrids via quadratic droop control

Content Provider	IEEE Xplore Digital Library
Author	Simpson-Porco, J.W. Dorfler, F. Bullo, F.
Copyright Year	2013
Description	Author affiliation: Center for Control, Dynamical Syst. & Comput., Univ. of California Santa Barbara, Santa Barbara, CA, USA (Simpson-Porco, J.W.; Bullo, F.) \|\| Dept. of Electr. Eng., Univ. of California Los Angeles, Los Angeles, CA, USA (Dorfler, F.)
Abstract	Motivated by the growing interest in energy technology and smart grid architectures, we consider the problem of voltage stability and reactive power balancing in low-voltage electrical networks equipped with DC/AC inverters (“microgrids”). It is generally believed that high-voltage equilibria of such networks are stable, but the locations of these equilibria are unknown, as is the critical network load where stability is lost. Inspired by the “control by interconnection” paradigm developed for port-Hamiltonian systems, we propose a novel droop-like inverter controller which is quadratic in the local voltage magnitude. Remarkably, under this controller the closed-loop network is again a well-posed electrical circuit. We find that the equilibria of the quadratic droop-controlled network are in exact correspondence with the solutions of a reduced power flow equation. For general network topologies, we study some simple yet insightful solutions of this equation, and for the frequently-encountered case of a parallel microgrid, we present a concise and closed-form condition for the existence of an exponentially stable high-voltage network equilibrium. Our condition establishes the existence of a critical inductive load for the network, which depends only on the network topology, admittances, and controller gains. We compare and contrast our design with the conventional droop controller, investigate the relationship between the two, and validate the robustness of our design through simulation.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	7582
Ending Page	7589
File Size	821822
Page Count	8
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6761093
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Inverters Microgrids Equations Voltage control Mathematical model Vectors Reactive power
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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