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Equilibrium and dynamics of local voltage control in distribution systems

Farivar, Masoud and Chen, Lijun and Low, Steven (2013) Equilibrium and dynamics of local voltage control in distribution systems. In: 52nd IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 4329-4334. ISBN 978-1-4673-5714-2.

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We consider a class of local volt/var control schemes where the control decision on the reactive power at a bus depends only on the local bus voltage. These local algorithms form a feedback dynamical system and collectively determine the bus voltages of a power network. We show that the dynamical system has a unique equilibrium by interpreting the dynamics as a distributed algorithm for solving a certain convex optimization problem whose unique optimal point is the system equilibrium. Moreover, the objective function serves as a Lyapunov function implying global asymptotic stability of the equilibrium. The optimization based model does not only provide a way to characterize the equilibrium, but also suggests a principled way to engineer the control. We apply the results to study the parameter setting for the inverter-based volt/var control in the proposed IEEE 1547.8 standard.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Low, Steven0000-0001-6476-3048
Additional Information:© 2013 IEEE. This work was supported by Resnick Sustainbility Institute at Caltech, Advanced Technology Division of Southern California Edison, NSF NetSE grant CNS 0911041, ARPA-E grant DE-AR0000226, National Science Council of Taiwan, R.O.C, grant NSC 101-3113-P-008-001.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Resnick Sustainability InstituteUNSPECIFIED
Southern California EdisonUNSPECIFIED
National Science Council (Taipei)NSC 101-3113-P-008-001
Subject Keywords:Reactive power, Voltage control, Optimization, Mathematical model, Inverters, Heuristic algorithms, Vectors
Record Number:CaltechAUTHORS:20170810-113209963
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Official Citation:M. Farivar, L. Chen and S. Low, "Equilibrium and dynamics of local voltage control in distribution systems," 52nd IEEE Conference on Decision and Control, Firenze, 2013, pp. 4329-4334. doi: 10.1109/CDC.2013.6760555 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80122
Deposited By: Zhaojian Wang
Deposited On:14 Aug 2017 19:26
Last Modified:15 Nov 2021 17:53

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