Accuracy enhancement of second-order cone relaxation for AC optimal power flow via linear mapping

Gholami, K; Azizivahed, A; Li, L; Zhang, J

Accuracy enhancement of second-order cone relaxation for AC optimal power flow via linear mapping

Gholami, K Azizivahed, A Li, L

Zhang, J

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Electric Power Systems Research, 2022, 212, pp. 108646
Issue Date:: 2022-11-01

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Field	Value	Language
dc.contributor.author	Gholami, K
dc.contributor.author	Azizivahed, A
dc.contributor.author	Li, L https://orcid.org/0000-0001-8485-2216
dc.contributor.author	Zhang, J https://orcid.org/0000-0003-2616-6722
dc.date.accessioned	2023-03-19T23:57:27Z
dc.date.available	2023-03-19T23:57:27Z
dc.date.issued	2022-11-01
dc.identifier.citation	Electric Power Systems Research, 2022, 212, pp. 108646
dc.identifier.issn	0378-7796
dc.identifier.uri	http://hdl.handle.net/10453/167637
dc.description.abstract	Optimal power flow (OPF) has always been one of the most crucial tools for power system operations. OPF problem formulation involves non-linear alternative current (AC) power flow equations, and a wide range of challenges occur as a result. This is because the resulting non-convex optimization problems are not only complex and time-consuming, but also difficult to find a global optimum as many local optimums are present. So far, different relaxations have been provided to address these issues. One of the most effective strategies for convexifying such formulations is second-order cone programming (SOCP). Although SOCP is an efficient instrument for convexifying AC OPF equations, it is unable to reach the global optimal solution compared to other methods. The aim of this paper is therefore to provide a new method to approach the global optimum of AC OPF relaxed by SOCP. This method is obtained with the aid of a new linrear tranfsormation called semi-Lorentz transformation as it similar to the Lorentz transformation in the special relativity theory. In this method second-order cone AC OPF equations are mapped to a new model via semi-Lorentz transformation. In addition, an approximation approach is also presented to reach the best semi-Lorentz factor, the main driver in semi-Lorentz transformation, for each particular problem based on the network parameters. From the comparative analysis in case studies, the proposed OPF solution method has robust precision and higher efficiency while consuming less computing time.
dc.language	en
dc.publisher	Elsevier
dc.relation.ispartof	Electric Power Systems Research
dc.relation.isbasedon	10.1016/j.epsr.2022.108646
dc.rights	info:eu-repo/semantics/restrictedAccess
dc.subject	0906 Electrical and Electronic Engineering
dc.subject.classification	Energy
dc.title	Accuracy enhancement of second-order cone relaxation for AC optimal power flow via linear mapping
dc.type	Journal Article
utslib.citation.volume	212
utslib.for	0906 Electrical and Electronic Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	in_progress	*
dc.date.updated	2023-03-19T23:57:26Z
pubs.publication-status	Published
pubs.volume	212

Abstract:

Optimal power flow (OPF) has always been one of the most crucial tools for power system operations. OPF problem formulation involves non-linear alternative current (AC) power flow equations, and a wide range of challenges occur as a result. This is because the resulting non-convex optimization problems are not only complex and time-consuming, but also difficult to find a global optimum as many local optimums are present. So far, different relaxations have been provided to address these issues. One of the most effective strategies for convexifying such formulations is second-order cone programming (SOCP). Although SOCP is an efficient instrument for convexifying AC OPF equations, it is unable to reach the global optimal solution compared to other methods. The aim of this paper is therefore to provide a new method to approach the global optimum of AC OPF relaxed by SOCP. This method is obtained with the aid of a new linrear tranfsormation called semi-Lorentz transformation as it similar to the Lorentz transformation in the special relativity theory. In this method second-order cone AC OPF equations are mapped to a new model via semi-Lorentz transformation. In addition, an approximation approach is also presented to reach the best semi-Lorentz factor, the main driver in semi-Lorentz transformation, for each particular problem based on the network parameters. From the comparative analysis in case studies, the proposed OPF solution method has robust precision and higher efficiency while consuming less computing time.

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http://hdl.handle.net/10453/167637