Convergence analysis for the primal-dual gradient dynamics associated with optimal power flow problems

Xu Ma; Nicola Elia

doi:10.1109/ECC.2015.7330713

Convergence analysis for the primal-dual gradient dynamics associated with optimal power flow problems

Xu Ma, Nicola Elia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

16 Scopus citations

Abstract

In this paper we propose a modified primal-dual gradient dynamical system to solve non-convex optimal power flow problems. The modified gradient dynamics maintains the naturally distributed structure and it has isolated equilibrium points as the primal and dual optima. Under mild conditions we show the locally asymptotic stability of the modified gradient dynamics. Simulations on the IEEE 14-bus benchmark system are provided to demonstrate the effectiveness of the proposed approach.

Original language	English (US)
Title of host publication	2015 European Control Conference, ECC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1261-1266
Number of pages	6
ISBN (Electronic)	9783952426937
DOIs	https://doi.org/10.1109/ECC.2015.7330713
State	Published - Nov 16 2015
Externally published	Yes
Event	European Control Conference, ECC 2015 - Linz, Austria Duration: Jul 15 2015 → Jul 17 2015

Publication series

Name	2015 European Control Conference, ECC 2015

Other

Other	European Control Conference, ECC 2015
Country/Territory	Austria
City	Linz
Period	7/15/15 → 7/17/15

Bibliographical note

Publisher Copyright:
© 2015 EUCA.

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10.1109/ECC.2015.7330713

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Convergence analysis for the primal-dual gradient dynamics associated with optimal power flow problems. / Ma, Xu; Elia, Nicola.
2015 European Control Conference, ECC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 1261-1266 7330713 (2015 European Control Conference, ECC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ma, X & Elia, N 2015, Convergence analysis for the primal-dual gradient dynamics associated with optimal power flow problems. in 2015 European Control Conference, ECC 2015., 7330713, 2015 European Control Conference, ECC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 1261-1266, European Control Conference, ECC 2015, Linz, Austria, 7/15/15. https://doi.org/10.1109/ECC.2015.7330713

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abstract = "In this paper we propose a modified primal-dual gradient dynamical system to solve non-convex optimal power flow problems. The modified gradient dynamics maintains the naturally distributed structure and it has isolated equilibrium points as the primal and dual optima. Under mild conditions we show the locally asymptotic stability of the modified gradient dynamics. Simulations on the IEEE 14-bus benchmark system are provided to demonstrate the effectiveness of the proposed approach.",

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AB - In this paper we propose a modified primal-dual gradient dynamical system to solve non-convex optimal power flow problems. The modified gradient dynamics maintains the naturally distributed structure and it has isolated equilibrium points as the primal and dual optima. Under mild conditions we show the locally asymptotic stability of the modified gradient dynamics. Simulations on the IEEE 14-bus benchmark system are provided to demonstrate the effectiveness of the proposed approach.

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Convergence analysis for the primal-dual gradient dynamics associated with optimal power flow problems

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