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Monotone operator approach to power flow solutions

Dvijotham, Krishnamurthy and Chertkov, Michael and Low, Steven (2016) Monotone operator approach to power flow solutions. In: 2016 American Control Conference (ACC). IEEE , Piscataway, NJ, p. 1769. ISBN 978-1-4673-8682-1.

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The AC power flow equations underlie all operational aspects of power systems. In this paper, Here we solve this problem using the theory of monotone operators. We show that it is possible to characterize a “contractivity domain” in the power flow variables (voltage magnitudes and phases). The construction of these domains depends on the specific representation chosen for the power flow equations, so that different representations lead to different domains. Given this domain, there is a simple efficient algorithm that will either find a solution in the domain, or certify that no solutions exist in it. We validate the approach on several IEEE test cases.

Item Type:Book Section
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Dvijotham, Krishnamurthy0000-0002-1328-4677
Additional Information:© 2016 AACC.
Subject Keywords:Load flow
Record Number:CaltechAUTHORS:20170810-111302484
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Official Citation:K. Dvijotham, M. Chertkov and S. Low, "Monotone operator approach to power flow solutions," 2016 American Control Conference (ACC), Boston, MA, 2016, pp. 1769-1769. doi: 10.1109/ACC.2016.7525174 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80107
Deposited By: Zhaojian Wang
Deposited On:14 Aug 2017 18:41
Last Modified:03 Oct 2019 18:27

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