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Reverse and Forward Engineering of Local Voltage Control in Distribution Networks

Zhou, Xinyang and Farivar, Masoud and Liu, Zhiyuan and Chen, Lijun and Low, Steven (2021) Reverse and Forward Engineering of Local Voltage Control in Distribution Networks. IEEE Transactions on Automatic Control, 66 (3). pp. 1116-1128. ISSN 0018-9286.

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The increasing penetration of renewable and distributed energy resources in distribution networks calls for real-time and distributed voltage control. In this article, we investigate local Volt/VAR control with a general class of control functions, and show that the power system dynamics with nonincremental local voltage control can be seen as a distributed algorithm for solving a well-defined optimization problem (reverse engineering). The reverse engineering further reveals a fundamental limitation of the nonincremental voltage control: the convergence condition is restrictive and prevents better voltage regulation at equilibrium. This motivates us to design two incremental local voltage control schemes based on the subgradient and pseudo-gradient algorithms, respectively, for solving the same optimization problem (forward engineering). The new control schemes decouple the dynamical property from the equilibrium property, and have much less restrictive convergence conditions. This article presents another step toward developing a new foundation—network dynamics as optimization algorithms—for distributed real-time control and optimization of future power networks.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Zhou, Xinyang0000-0001-8526-2357
Farivar, Masoud0000-0001-7298-3526
Liu, Zhiyuan0000-0003-4356-4183
Chen, Lijun0000-0001-6694-4299
Low, Steven0000-0001-6476-3048
Additional Information:© 2020 IEEE. Manuscript received October 7, 2019; accepted May 6, 2020. Date of publication May 12, 2020; date of current version February 26, 2021. This work was supported in part by the National Renewable Energy Laboratory under subcontracts APUP UGA-0-41026-120 and APUP UGA-0-41026-107, in part by the National Science Foundation through Grant CCF 1637598, Grant ECCS 1619352, and Grant CPS ECCS 1739355, and in part by the DOE under Contract DE-EE-0007998. Presented in part at the IEEE Conference on Decision and Control, Florence, Italy, 2013 [53], IEEE International Conference on Smart Grid Communications, Miami, FL, 2015 [54], and Annual Allerton Conference on Communication, Control, and Computing, Allerton, IL, 2015 [55]. Recommended by Associate Editor U. V. Shanbhag.
Funding AgencyGrant Number
National Renewable Energy LaboratoryAPUP UGA-0-41026-120
National Renewable Energy LaboratoryAPUP UGA-0-41026-107
Department of Energy (DOE)DE-EE-0007998
Subject Keywords:Distributed control and optimization, network dynamics as optimization algorithms, power networks, reverse and forward engineering, voltage regulation
Issue or Number:3
Record Number:CaltechAUTHORS:20200514-142330504
Persistent URL:
Official Citation:X. Zhou, M. Farivar, Z. Liu, L. Chen and S. H. Low, "Reverse and Forward Engineering of Local Voltage Control in Distribution Networks," in IEEE Transactions on Automatic Control, vol. 66, no. 3, pp. 1116-1128, March 2021, doi: 10.1109/TAC.2020.2994184
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103208
Deposited By: Tony Diaz
Deposited On:14 May 2020 21:34
Last Modified:03 Mar 2021 19:36

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