A primal–dual penalty-interior-point method for solving the reactive optimal power flow problem with discrete control variables

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dc.contributor.authorDelgado, Jéssica A.
dc.contributor.authorBaptista, Edméa C.
dc.contributor.authorBalbo, Antonio R.
dc.contributor.authorSoler, Edilaine M.
dc.contributor.authorSilva, Diego N.
dc.contributor.authorMartins, André C.P.
dc.contributor.authorNepomuceno, Leonardo
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionIFSP-Presidente Epitácio
dc.date.accessioned2022-04-29T08:46:32Z
dc.date.available2022-04-29T08:46:32Z
dc.date.issued2022-06-01
dc.description.abstractThe Optimal Reactive Power Flow (ORPF) problem has been used as an important computational tool for power system planning and operation. Its mixed-discrete version (DORPF) is formulated as a non-convex, non-linear optimization problem with discrete and continuous variables, which is aimed at minimizing the transmission losses while meeting the power demand and enforcing operational and physical limits of the system. Although the DORPF problem has been solved by a myriad of methods, some of them present regularization problems associated with poor matrix-conditioning in the optimal solution, some do not provide for rapid infeasibility detection and some do not provide effective ways for handling the discrete nature of the control variables. Although some of these complicating issues have been tackled separately in the literature by various studies, a method that addresses all these issues has not yet been proposed for solving the DORPF problem. In this paper, an integration of optimization approaches is proposed for handling all such complicating issues. The basis of this approach is a primal–dual penalty-interior-point method, which integrates the good properties of penalty methods (e.g. regularization effects on the constraints and rapid infeasibility detection) and interior-point methods (e.g. scalability and good convergence behavior), without suffering from their disadvantages. In the proposed approach, this method is integrated with a sinusoidal penalty function method for handling the discrete nature of the control variables of the DORPF problem, together with a specific inertia correction strategy designed to avoid local maximizers associated with such a penalty function. Numerical tests carried out with the IEEE 30-, 57-, 118- and 300-bus systems focus on showing that all the complicating issues have been addressed by the proposed method. Comparisons with the results obtained by interior-point methods are also provided.en
dc.description.affiliationDepartment of Electrical Engineering Faculty of Engineering-FEB, Unesp-Univ. Estadual Paulista
dc.description.affiliationDepartment of Mathematics Faculty of Sciences-FC, Unesp-Univ. Estadual Paulista
dc.description.affiliationDepartment of Mathematics IFSP-Presidente Epitácio
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2013/18036-1
dc.description.sponsorshipIdFAPESP: 2014/20853-0
dc.description.sponsorshipIdFAPESP: 2017/24135-3
dc.description.sponsorshipIdCNPq: 305548/2019-0
dc.description.sponsorshipIdCNPq: 309780/2017-9
dc.description.sponsorshipIdCNPq: 314711/2020-1
dc.identifierhttp://dx.doi.org/10.1016/j.ijepes.2021.107917
dc.identifier.citationInternational Journal of Electrical Power and Energy Systems, v. 138.
dc.identifier.doi10.1016/j.ijepes.2021.107917
dc.identifier.issn0142-0615
dc.identifier.scopus2-s2.0-85123274178
dc.identifier.urihttp://hdl.handle.net/11449/231605
dc.language.isoeng
dc.relation.ispartofInternational Journal of Electrical Power and Energy Systems
dc.sourceScopus
dc.subjectDiscrete optimization
dc.subjectInterior-point method
dc.subjectPenalty method
dc.subjectPenalty-interior-point method
dc.subjectReactive optimal power flow
dc.titleA primal–dual penalty-interior-point method for solving the reactive optimal power flow problem with discrete control variablesen
dc.typeArtigo
unesp.author.orcid0000-0002-7615-5768[4]
unesp.author.orcid0000-0002-6258-7068[7]

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