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An optimal control approach to the Unit Commitment problem
| Resumo: | The Unit Commitment (UC) problem is a wellknown combinatorial optimization problem arising in operations planning of power systems. It is typically formulated as nonlinear mixed-integer programming problem and has been solved in the literature by a huge variety of optimization methods, ranging from exact methods (such as dynamic programming, branch-and-bound) to heuristic methods (genetic algorithms, simulated annealing, particle swarm). Here, we start by formulating the UC problem as a mixed-integer optimal control problem, with both binary-valued control variables and real-valued control variables. Then, we use a variable time transformation method to convert the problem into an optimal control problem with only real-valued controls. Finally, this problem is transcribed into a finite-dimensional nonlinear programming problem to be solved using an optimization solver. |
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| Assunto: | Economics and Business Economia e gestão |
| País: | Portugal |
| Tipo de documento: | livro |
| Tipo de acesso: | Aberto |
| Instituição associada: | Repositório Aberto da Universidade do Porto |
| Idioma: | inglês |
| Origem: | Repositório Aberto da Universidade do Porto |
| _version_ | 1850560643955949568 |
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| conditionsOfAccess_str | open access |
| country_str | PT |
| description | The Unit Commitment (UC) problem is a wellknown combinatorial optimization problem arising in operations planning of power systems. It is typically formulated as nonlinear mixed-integer programming problem and has been solved in the literature by a huge variety of optimization methods, ranging from exact methods (such as dynamic programming, branch-and-bound) to heuristic methods (genetic algorithms, simulated annealing, particle swarm). Here, we start by formulating the UC problem as a mixed-integer optimal control problem, with both binary-valued control variables and real-valued control variables. Then, we use a variable time transformation method to convert the problem into an optimal control problem with only real-valued controls. Finally, this problem is transcribed into a finite-dimensional nonlinear programming problem to be solved using an optimization solver. |
| documentTypeURL_str | http://purl.org/coar/resource_type/c_2f33 |
| documentType_str | book |
| id | 42359667-dcd0-436a-b7dc-1902429e4ecd |
| identifierHandle_str | https://hdl.handle.net/10216/70486 |
| language | eng |
| relatedInstitutions_str_mv | Repositório Aberto da Universidade do Porto |
| resourceName_str | Repositório Aberto da Universidade do Porto |
| spellingShingle | An optimal control approach to the Unit Commitment problem Economics and Business Economia e gestão |
| title | An optimal control approach to the Unit Commitment problem |
| topic | Economics and Business Economia e gestão |