Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation
The objective of this research is to propose an efficient energy management system for photovoltaic (PV) generation units connected to monopolar DC distribution networks via convex optimization while considering a day-ahead dispatch operation scenario. A convex approximation is used which is based o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/16/3/1105 |
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| author | Oscar Danilo Montoya Luis Fernando Grisales-Noreña Jesús C. Hernández |
| author_facet | Oscar Danilo Montoya Luis Fernando Grisales-Noreña Jesús C. Hernández |
| author_sort | Oscar Danilo Montoya |
| collection | DOAJ |
| description | The objective of this research is to propose an efficient energy management system for photovoltaic (PV) generation units connected to monopolar DC distribution networks via convex optimization while considering a day-ahead dispatch operation scenario. A convex approximation is used which is based on linearization via Taylor’s series expansion to the hyperbolic relations between voltages and powers in the demand nodes. A recursive solution methodology is introduced via sequential convex programming to minimize the errors introduced by the linear approximation in the power balance constraints. Numerical results in the DC version of the IEEE 33-bus grid demonstrate the effectiveness of the proposed convex model when compared to different combinatorial optimization methods, with the main advantage that the optimal global solution is found thanks to the convexity of the solution space and the reduction of the error via an iterative solution approach. Different objective functions are analyzed to validate the effectiveness of the proposed iterative convex methodology (ICM), which corresponds to technical (energy losses reduction), economic (energy purchasing and maintenance costs), and environmental (equivalent emissions of CO<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> to the atmosphere in conventional sources) factors. The proposed ICM finds reductions of about <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>43.9754</mn><mo>%</mo></mrow></semantics></math></inline-formula> in daily energy losses, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>26.9957</mn><mo>%</mo></mrow></semantics></math></inline-formula> in energy purchasing and operating costs, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>27.3771</mn><mo>%</mo></mrow></semantics></math></inline-formula> in CO<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> emissions when compared to the benchmark case in the DC version of the IEEE 33-bus grid. All numerical validations were carried out in the MATLAB programming environment using the SEDUMI and SDPT3 tools for convex programming and our own scripts for metaheuristic methods. |
| first_indexed | 2024-03-11T09:47:04Z |
| format | Article |
| id | doaj.art-9030b4dfb21644a8a8521fc4e18214ab |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T09:47:04Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
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| series | Energies |
| spelling | doaj.art-9030b4dfb21644a8a8521fc4e18214ab2023-11-16T16:32:43ZengMDPI AGEnergies1996-10732023-01-01163110510.3390/en16031105Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex ApproximationOscar Danilo Montoya0Luis Fernando Grisales-Noreña1Jesús C. Hernández2Grupo de Compatibilidad e Interferencia Electromagnética (GCEM), Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 110231, ColombiaDepartment of Electrical Engineering, Faculty of Engineering, Universidad de Talca, Curicó 3340000, ChileDepartment of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, SpainThe objective of this research is to propose an efficient energy management system for photovoltaic (PV) generation units connected to monopolar DC distribution networks via convex optimization while considering a day-ahead dispatch operation scenario. A convex approximation is used which is based on linearization via Taylor’s series expansion to the hyperbolic relations between voltages and powers in the demand nodes. A recursive solution methodology is introduced via sequential convex programming to minimize the errors introduced by the linear approximation in the power balance constraints. Numerical results in the DC version of the IEEE 33-bus grid demonstrate the effectiveness of the proposed convex model when compared to different combinatorial optimization methods, with the main advantage that the optimal global solution is found thanks to the convexity of the solution space and the reduction of the error via an iterative solution approach. Different objective functions are analyzed to validate the effectiveness of the proposed iterative convex methodology (ICM), which corresponds to technical (energy losses reduction), economic (energy purchasing and maintenance costs), and environmental (equivalent emissions of CO<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> to the atmosphere in conventional sources) factors. The proposed ICM finds reductions of about <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>43.9754</mn><mo>%</mo></mrow></semantics></math></inline-formula> in daily energy losses, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>26.9957</mn><mo>%</mo></mrow></semantics></math></inline-formula> in energy purchasing and operating costs, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>27.3771</mn><mo>%</mo></mrow></semantics></math></inline-formula> in CO<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> emissions when compared to the benchmark case in the DC version of the IEEE 33-bus grid. All numerical validations were carried out in the MATLAB programming environment using the SEDUMI and SDPT3 tools for convex programming and our own scripts for metaheuristic methods.https://www.mdpi.com/1996-1073/16/3/1105convex relaxationsefficient energy management systemphotovoltaic generationmonopolar DC distribution networksoptimal power flow solution |
| spellingShingle | Oscar Danilo Montoya Luis Fernando Grisales-Noreña Jesús C. Hernández Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation Energies convex relaxations efficient energy management system photovoltaic generation monopolar DC distribution networks optimal power flow solution |
| title | Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation |
| title_full | Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation |
| title_fullStr | Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation |
| title_full_unstemmed | Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation |
| title_short | Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation |
| title_sort | efficient day ahead dispatch of photovoltaic sources in monopolar dc networks via an iterative convex approximation |
| topic | convex relaxations efficient energy management system photovoltaic generation monopolar DC distribution networks optimal power flow solution |
| url | https://www.mdpi.com/1996-1073/16/3/1105 |
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