A Gradient-Based Approach for Solving the Stochastic Optimal Power Flow Problem with Wind Power Generation

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Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorIFSP-Presidente Epitácio-
Autor(es): dc.creatorSouza, Rafael R.-
Autor(es): dc.creatorBalbo, Antonio R.-
Autor(es): dc.creatorMartins, André C. P.-
Autor(es): dc.creatorSoler, Edilaine M.-
Autor(es): dc.creatorBaptista, Edméa C.-
Autor(es): dc.creatorSousa, Diego N.-
Autor(es): dc.creatorNepomuceno, Leonardo-
Data de aceite: dc.date.accessioned2025-08-21T16:46:02Z-
Data de disponibilização: dc.date.available2025-08-21T16:46:02Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2022-08-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.epsr.2022.108038-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/240915-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/240915-
Descrição: dc.descriptionAlthough wind power generation improves decarbonization of the electricity sector, its increasing penetration poses new challenges for power systems planning, operation and control. In this paper, we propose a solution approach for Stochastic Optimal Power Flow (SOPF) models under uncertainty in wind power generation. Two complicating issues are handled: i) difficulties imposed by probability density functions used to formulate wind power costs and their derivatives; ii) the non-differentiability of the cost function for thermal units. Due to such issues, SOPF models cannot be solved by gradient-based approaches and have been solved by meta-heuristics only. We obtain exact analytical expressions for the first and second order derivatives of wind power costs and propose a technique for handling non-differentiability in thermal costs. The equivalent SOPF model that results from such recasting is a differentiable NLP problem which can be solved by efficient gradient-based algorithms. Finally, we propose a modified log-barrier primal-dual interior/exterior-point method for solving the equivalent SOPF model which, differently from meta-heuristic approaches, is able to calculate important dual variables such as energy prices. Our approach, which is applied to the IEEE 30-, 57- 118- and 300-bus systems, strongly outperforms a meta-heuristic approach in terms of computation times and optimality.-
Descrição: dc.descriptionDepartment of Electrical Engineering Faculty of Engineering-FEB Unesp-Universidade Estadual Paulista, SP-
Descrição: dc.descriptionDepartment of Mathematics Faculty of Sciences-FC Unesp-Universidade Estadual Paulista, SP-
Descrição: dc.descriptionDepartment of Mathematics IFSP-Presidente Epitácio-
Descrição: dc.descriptionDepartment of Electrical Engineering Faculty of Engineering-FEB Unesp-Universidade Estadual Paulista, SP-
Descrição: dc.descriptionDepartment of Mathematics Faculty of Sciences-FC Unesp-Universidade Estadual Paulista, SP-
Idioma: dc.languageen-
Relação: dc.relationElectric Power Systems Research-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectInterior/exterior-point methods-
Palavras-chave: dc.subjectStochastic optimal power flow-
Palavras-chave: dc.subjectSystem reserve costs-
Palavras-chave: dc.subjectWind power costs-
Palavras-chave: dc.subjectWind power generation dispatch-
Título: dc.titleA Gradient-Based Approach for Solving the Stochastic Optimal Power Flow Problem with Wind Power Generation-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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