Universität zu Köln

Hoersch, Jonas, Ronellenfitsch, Henrik, Witthaut, Dirk ORCID: 0000-0002-3623-5341 and Brown, Tom (2018). Linear optimal power flow using cycle flows. Electr. Power Syst. Res., 158. S. 126 - 136. LAUSANNE: ELSEVIER SCIENCE SA. ISSN 1873-2046

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Abstract

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms use the voltage angles at the buses as optimization variables, but alternatives can be computationally advantageous. In this article we provide a review of existing methods and describe a new formulation that expresses the loading constraints directly in terms of the flows themselves, using a decomposition of the network graph into a spanning tree and closed cycles. We provide a comprehensive study of the computational performance of the various formulations, in settings that include computationally challenging applications such as multi-period LOPF with storage dispatch and generation capacity expansion. We show that the new formulation of the LOPF solves up to 7 times faster than the angle formulation using a commercial linear programming solver, while another existing cycle-base formulation solves up to 20 times faster, with an average speed-up of factor 3 for the standard networks considered here. If generation capacities are also optimized, the average speed-up rises to a factor of 12, reaching up to factor 213 in a particular instance. The speed-up is largest for networks with many buses and decentral generators throughout the network, which is highly relevant given the rise of distributed renewable generation and the computational challenge of operation and planning in such networks. (C) 2018 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hoersch, Jonas UNSPECIFIED UNSPECIFIED UNSPECIFIED Ronellenfitsch, Henrik UNSPECIFIED UNSPECIFIED UNSPECIFIED Witthaut, Dirk UNSPECIFIED orcid.org/0000-0002-3623-5341 UNSPECIFIED Brown, Tom UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-188885
DOI:	10.1016/j.epsr.2017.12.034
Journal or Publication Title:	Electr. Power Syst. Res.
Volume:	158
Page Range:	S. 126 - 136
Date:	2018
Publisher:	ELSEVIER SCIENCE SA
Place of Publication:	LAUSANNE
ISSN:	1873-2046
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ENERGY SYSTEM; MARKET; OPF Multiple languages Engineering, Electrical & Electronic Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18888