Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search Algorithm
This paper deals with the optimal siting and sizing problem of photovoltaic (PV) generators in electrical distribution networks considering daily load and generation profiles. It proposes the discrete-continuous version of the vortex search algorithm (DCVSA) to locate and size the PV sources where t...
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MDPI AG
2021-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/10/4418 |
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| author | Alejandra Paz-Rodríguez Juan Felipe Castro-Ordoñez Oscar Danilo Montoya Diego Armando Giral-Ramírez |
| author_facet | Alejandra Paz-Rodríguez Juan Felipe Castro-Ordoñez Oscar Danilo Montoya Diego Armando Giral-Ramírez |
| author_sort | Alejandra Paz-Rodríguez |
| collection | DOAJ |
| description | This paper deals with the optimal siting and sizing problem of photovoltaic (PV) generators in electrical distribution networks considering daily load and generation profiles. It proposes the discrete-continuous version of the vortex search algorithm (DCVSA) to locate and size the PV sources where the discrete part of the codification defines the nodes. Renewable generators are installed in these nodes, and the continuous section determines their optimal sizes. In addition, through the successive approximation power flow method, the objective function of the optimization model is obtained. This objective function is related to the minimization of the daily energy losses. This method allows determining the power losses in each period for each renewable generation input provided by the DCVSA (i.e., location and sizing of the PV sources). Numerical validations in the IEEE 33- and IEEE 69-bus systems demonstrate that: (i) the proposed DCVSA finds the optimal global solution for both test feeders when the location and size of the PV generators are explored, considering the peak load scenario. (ii) In the case of the daily operative scenario, the total reduction of energy losses for both test feeders are 23.3643% and 24.3863%, respectively; and (iii) the DCVSA presents a better numerical performance regarding the objective function value when compared with the BONMIN solver in the GAMS software, which demonstrates the effectiveness and robustness of the proposed master-slave optimization algorithm. |
| first_indexed | 2024-03-10T11:27:43Z |
| format | Article |
| id | doaj.art-597993f8dafc4e3f853f93e8a232e336 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T11:27:43Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-597993f8dafc4e3f853f93e8a232e3362023-11-21T19:30:36ZengMDPI AGApplied Sciences2076-34172021-05-011110441810.3390/app11104418Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search AlgorithmAlejandra Paz-Rodríguez0Juan Felipe Castro-Ordoñez1Oscar Danilo Montoya2Diego Armando Giral-Ramírez3Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, ColombiaIngeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, ColombiaFacultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, ColombiaFacultad Tecnológica, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, ColombiaThis paper deals with the optimal siting and sizing problem of photovoltaic (PV) generators in electrical distribution networks considering daily load and generation profiles. It proposes the discrete-continuous version of the vortex search algorithm (DCVSA) to locate and size the PV sources where the discrete part of the codification defines the nodes. Renewable generators are installed in these nodes, and the continuous section determines their optimal sizes. In addition, through the successive approximation power flow method, the objective function of the optimization model is obtained. This objective function is related to the minimization of the daily energy losses. This method allows determining the power losses in each period for each renewable generation input provided by the DCVSA (i.e., location and sizing of the PV sources). Numerical validations in the IEEE 33- and IEEE 69-bus systems demonstrate that: (i) the proposed DCVSA finds the optimal global solution for both test feeders when the location and size of the PV generators are explored, considering the peak load scenario. (ii) In the case of the daily operative scenario, the total reduction of energy losses for both test feeders are 23.3643% and 24.3863%, respectively; and (iii) the DCVSA presents a better numerical performance regarding the objective function value when compared with the BONMIN solver in the GAMS software, which demonstrates the effectiveness and robustness of the proposed master-slave optimization algorithm.https://www.mdpi.com/2076-3417/11/10/4418discrete-continuous vortex search algorithmenergy renewablephotovoltaic generationoptimal power flowmathematic modelminimization losses |
| spellingShingle | Alejandra Paz-Rodríguez Juan Felipe Castro-Ordoñez Oscar Danilo Montoya Diego Armando Giral-Ramírez Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search Algorithm Applied Sciences discrete-continuous vortex search algorithm energy renewable photovoltaic generation optimal power flow mathematic model minimization losses |
| title | Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search Algorithm |
| title_full | Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search Algorithm |
| title_fullStr | Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search Algorithm |
| title_full_unstemmed | Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search Algorithm |
| title_short | Optimal Integration of Photovoltaic Sources in Distribution Networks for Daily Energy Losses Minimization Using the Vortex Search Algorithm |
| title_sort | optimal integration of photovoltaic sources in distribution networks for daily energy losses minimization using the vortex search algorithm |
| topic | discrete-continuous vortex search algorithm energy renewable photovoltaic generation optimal power flow mathematic model minimization losses |
| url | https://www.mdpi.com/2076-3417/11/10/4418 |
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