Power Network Design with Line Activity

Daniel Bienstock; Martina Cerulli; Mauro Escobar; Leo Liberti

doi:10.1007/978-3-030-95380-5_17

Power Network Design with Line Activity

Daniel Bienstock
, Martina Cerulli
, Mauro Escobar
, Leo Liberti

Columbia University
Laboratoire d'Informatique (LIX)

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We discuss the problem of optimally designing a power transportation network with respect to line activity. We model this problem as an alternating current optimal power flow with on/off variables on lines. We formulate this problem as a nonconvex MINLP in complex numbers, then we propose two convex MINLP relaxations. We test our formulations on some small-scale standard instances.

Original language	English
Title of host publication	AIRO Springer Series
Publisher	Springer Nature
Pages	185-198
Number of pages	14
DOIs	https://doi.org/10.1007/978-3-030-95380-5_17
Publication status	Published - 1 Jan 2022

Publication series

Name	AIRO Springer Series
Volume	8
ISSN (Print)	2523-7047
ISSN (Electronic)	2523-7055

Keywords

MINLP
Optimal power flow
Relaxation

Access to Document

10.1007/978-3-030-95380-5_17

Cite this

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title = "Power Network Design with Line Activity",

abstract = "We discuss the problem of optimally designing a power transportation network with respect to line activity. We model this problem as an alternating current optimal power flow with on/off variables on lines. We formulate this problem as a nonconvex MINLP in complex numbers, then we propose two convex MINLP relaxations. We test our formulations on some small-scale standard instances.",

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AB - We discuss the problem of optimally designing a power transportation network with respect to line activity. We model this problem as an alternating current optimal power flow with on/off variables on lines. We formulate this problem as a nonconvex MINLP in complex numbers, then we propose two convex MINLP relaxations. We test our formulations on some small-scale standard instances.

KW - MINLP

KW - Optimal power flow

KW - Relaxation

U2 - 10.1007/978-3-030-95380-5_17

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SP - 185

EP - 198

BT - AIRO Springer Series

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Power Network Design with Line Activity

Abstract

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Keywords

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