Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex Approach
This article deals with the solution of a mixed-integer nonlinear programming (MINLP) problem related to the efficient reallocation of battery energy storage systems (BESS) in monopolar direct current (DC) grids through a master–slave optimization approach. The master stage solves the integer nature...
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MDPI AG
2023-03-01
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| Series: | Batteries |
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| Online Access: | https://www.mdpi.com/2313-0105/9/3/190 |
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| author | Luis Fernando Grisales-Noreña Oscar Danilo Montoya Jesús C. Hernández |
| author_facet | Luis Fernando Grisales-Noreña Oscar Danilo Montoya Jesús C. Hernández |
| author_sort | Luis Fernando Grisales-Noreña |
| collection | DOAJ |
| description | This article deals with the solution of a mixed-integer nonlinear programming (MINLP) problem related to the efficient reallocation of battery energy storage systems (BESS) in monopolar direct current (DC) grids through a master–slave optimization approach. The master stage solves the integer nature of the MINLP model, which is related to the nodes where the BESS will be located. In this stage, the discrete version of the vortex search algorithm is implemented. To determine the objective function value, a recursive convex approximation is implemented to solve the nonlinear component of the MINLP model (multi-period optimal power flow problem) in the slave stage. Two objective functions are considered performance indicators regarding the efficient reallocation of BESS in monopolar DC systems. The first objective function corresponds to the expected costs of the annual energy losses, and the second is associated with the annual expected energy generation costs. Numerical results for the DC version of the IEEE 33 bus grid confirm the effectiveness and robustness of the proposed master–slave optimization approach in comparison with the solution of the exact MINLP model in the General Algebraic Modeling System (GAMS) software. The proposed master–slave optimizer was programmed in the MATLAB software. The recursive convex solution of the multi-period optimal power flow problem was implemented in the convex discipline tool (CVX) with the SDPT3 and SEDUMI solvers. The numerical reductions achieved with respect to the benchmark case in terms of energy loss costs and energy purchasing costs were <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>7.2091</mn><mo>%</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.2105</mn><mo>%</mo></mrow></semantics></math></inline-formula>, which surpassed the results reached by the GAMS software, with reductions of about <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6.0316</mn><mo>%</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.5736</mn><mo>%</mo></mrow></semantics></math></inline-formula>. |
| first_indexed | 2024-03-11T06:56:02Z |
| format | Article |
| id | doaj.art-f839183274e8480ea44aea6e474660dc |
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| language | English |
| last_indexed | 2024-03-11T06:56:02Z |
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| spelling | doaj.art-f839183274e8480ea44aea6e474660dc2023-11-17T09:36:32ZengMDPI AGBatteries2313-01052023-03-019319010.3390/batteries9030190Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex ApproachLuis Fernando Grisales-Noreña0Oscar Danilo Montoya1Jesús C. Hernández2Department of Electrical Engineering, Faculty of Engineering, Universidad de Talca, Curicó 3340000, ChileGrupo de Compatibilidad e Interferencia Electromagnética (GCEM), Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 110231, ColombiaDepartment of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, SpainThis article deals with the solution of a mixed-integer nonlinear programming (MINLP) problem related to the efficient reallocation of battery energy storage systems (BESS) in monopolar direct current (DC) grids through a master–slave optimization approach. The master stage solves the integer nature of the MINLP model, which is related to the nodes where the BESS will be located. In this stage, the discrete version of the vortex search algorithm is implemented. To determine the objective function value, a recursive convex approximation is implemented to solve the nonlinear component of the MINLP model (multi-period optimal power flow problem) in the slave stage. Two objective functions are considered performance indicators regarding the efficient reallocation of BESS in monopolar DC systems. The first objective function corresponds to the expected costs of the annual energy losses, and the second is associated with the annual expected energy generation costs. Numerical results for the DC version of the IEEE 33 bus grid confirm the effectiveness and robustness of the proposed master–slave optimization approach in comparison with the solution of the exact MINLP model in the General Algebraic Modeling System (GAMS) software. The proposed master–slave optimizer was programmed in the MATLAB software. The recursive convex solution of the multi-period optimal power flow problem was implemented in the convex discipline tool (CVX) with the SDPT3 and SEDUMI solvers. The numerical reductions achieved with respect to the benchmark case in terms of energy loss costs and energy purchasing costs were <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>7.2091</mn><mo>%</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.2105</mn><mo>%</mo></mrow></semantics></math></inline-formula>, which surpassed the results reached by the GAMS software, with reductions of about <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6.0316</mn><mo>%</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.5736</mn><mo>%</mo></mrow></semantics></math></inline-formula>.https://www.mdpi.com/2313-0105/9/3/190expected annual energy loss costsexpected annual energy purchasing costsbattery energy storage systemsrenewable energy resources |
| spellingShingle | Luis Fernando Grisales-Noreña Oscar Danilo Montoya Jesús C. Hernández Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex Approach Batteries expected annual energy loss costs expected annual energy purchasing costs battery energy storage systems renewable energy resources |
| title | Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex Approach |
| title_full | Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex Approach |
| title_fullStr | Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex Approach |
| title_full_unstemmed | Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex Approach |
| title_short | Efficient Reallocation of BESS in Monopolar DC Networks for Annual Operating Costs Minimization: A Combinatorial-Convex Approach |
| title_sort | efficient reallocation of bess in monopolar dc networks for annual operating costs minimization a combinatorial convex approach |
| topic | expected annual energy loss costs expected annual energy purchasing costs battery energy storage systems renewable energy resources |
| url | https://www.mdpi.com/2313-0105/9/3/190 |
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