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Exact minimization of the energy losses and the CO2 emissions in isolated DC distribution networks using PV sources
Minimización exacta de las pérdidas de energía y las emisiones de CO2 en redes de distribución DC aisladas empleando fuentes fotovoltaicas
DOI:
https://doi.org/10.15446/dyna.v88n217.93099Palabras clave:
minimization of greenhouse gas emissions;, renewable energy resources;, daily demand curves;, convex optimization;, diesel generators (en)minimización de gases de efecto invernadero;, fuentes de generación renovable;, curvas de demanda diaria;, optimización convexa;, generadores diésel (es)
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This paper addresses the optimal location and sizing of photovoltaic (PV) sources in isolated direct current (DC) electrical networks, considering time-varying load and renewable generation curves. The mathematical formulation of this problem corresponds to mixed-integer nonlinear programming (MINLP), which is reformulated via mixed-integer convex optimization: This ensures the global optimum solving the resulting optimization model via branch & bound and interior-point methods. The main idea of including PV sources in the DC grid is to minimize the daily energy losses and greenhouse emissions produced by diesel generators in isolated areas. The GAMS package is employed to solve the MINLP model, using mixed and integer variables; also, the CVX and MOSEK solvers are used to obtain solutions from the proposed mixed-integer convex model in the MATLAB. Numerical results demonstrate important reductions in the daily energy losses and the harmful gas emissions when PV sources are optimally integrated into DC grid.
Este paper aborda la ubicación y el tamaño óptimos de las fuentes fotovoltaicas (PV) en redes eléctricas aisladas de corriente continua (CC), considerando la carga variable en el tiempo y las curvas de generación renovable. La formulación matemática de este problema corresponde a la programación no lineal de enteros mixtos (MINLP), que es reformulada mediante optimización convexa de enteros mixtos. Esto asegura el óptimo global resolviendo el modelo de optimización resultante a través de métodos de punto interior y ramificación. La idea principal de incluir fuentes fotovoltaicas en la red de CC es minimizar las pérdidas diarias de energía y las emisiones de efecto invernadero producidas por los generadores diésel en áreas aisladas. El paquete GAMS se emplea para resolver el modelo MINLP, utilizando variables mixtas y enteras. Además, los solucionadores CVX y MOSEK se utilizan para obtener soluciones del modelo convexo de enteros mixtos propuesto en MATLAB. Los resultados numéricos demuestran importantes reducciones en las pérdidas diarias de energía y las emisiones de gases nocivos cuando las fuentes fotovoltaicas se integran de manera óptima en la red de CC.
Referencias
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CrossRef Cited-by
1. Oscar Danilo Montoya, Luis Fernando Grisales-Noreña, Diego Armando Giral-Ramírez. (2023). Multi-Objective Dispatch of PV Plants in Monopolar DC Grids Using a Weighted-Based Iterative Convex Solution Methodology. Energies, 16(2), p.976. https://doi.org/10.3390/en16020976.
2. Oscar Danilo Montoya, Luis Fernando Grisales-Noreña, Lázaro Alvarado-Barrios, Andres Arias-Londoño, Cesar Álvarez-Arroyo. (2021). Efficient Reduction in the Annual Investment Costs in AC Distribution Networks via Optimal Integration of Solar PV Sources Using the Newton Metaheuristic Algorithm. Applied Sciences, 11(23), p.11525. https://doi.org/10.3390/app112311525.
3. Oscar Danilo Montoya, Luis Fernando Grisales-Noreña, Jesús C. Hernández. (2023). Efficient Day-Ahead Dispatch of Photovoltaic Sources in Monopolar DC Networks via an Iterative Convex Approximation. Energies, 16(3), p.1105. https://doi.org/10.3390/en16031105.
4. Luis Fernando Grisales-Noreña, Jauder Alexander Ocampo-Toro, Andrés Alfonso Rosales-Muñoz, Brandon Cortes-Caicedo, Oscar Danilo Montoya. (2022). An Energy Management System for PV Sources in Standalone and Connected DC Networks Considering Economic, Technical, and Environmental Indices. Sustainability, 14(24), p.16429. https://doi.org/10.3390/su142416429.
5. Oscar Danilo Montoya, Andres Arias-Londoño, Luis Fernando Grisales-Noreña, José Ángel Barrios, Harold R. Chamorro. (2021). Optimal Demand Reconfiguration in Three-Phase Distribution Grids Using an MI-Convex Model. Symmetry, 13(7), p.1124. https://doi.org/10.3390/sym13071124.
6. Camilo Andrés Rojas-Torres, Ivan Camilo Tovar-Cifuentes, Oscar Danilo Montoya-Giraldo, Brandon Cortés-Caicedo. (2022). Integración óptima de sistemas de generación solar fotovoltaica para la minimización de costos totales de operación anual aplicando el algoritmo de la Viuda Negra. Revista UIS Ingenierías, 21(4) https://doi.org/10.18273/revuin.v21n4-2022007.
7. David Steveen Guzmán-Romero, Brandon Cortés-Caicedo, Oscar Danilo Montoya. (2023). Development of a MATLAB-GAMS Framework for Solving the Problem Regarding the Optimal Location and Sizing of PV Sources in Distribution Networks. Resources, 12(3), p.35. https://doi.org/10.3390/resources12030035.
8. Oscar Danilo Montoya, Luis Fernando Grisales-Noreña, Alberto-Jesus Perea-Moreno. (2021). Optimal Investments in PV Sources for Grid-Connected Distribution Networks: An Application of the Discrete–Continuous Genetic Algorithm. Sustainability, 13(24), p.13633. https://doi.org/10.3390/su132413633.
9. Oscar Danilo Montoya, Walter Gil-González, Rubén Iván Bolaños, Diego Fernando Muñoz-Torres, Jesús C. Hernández, Luis Fernando Grisales-Noreña. (2024). Effective Power Coordination of BESUs in Distribution Grids via the Sine-Cosine Algorithm. 2024 IEEE Green Technologies Conference (GreenTech). , p.111. https://doi.org/10.1109/GreenTech58819.2024.10520484.
10. Brandon Cortés-Caicedo, Luis Fernando Grisales-Noreña, Oscar Danilo Montoya, Rubén Iván Bolaños, Javier Muñoz. (2025). A multi-objective optimization approach based on the Non-Dominated Sorting Genetic Algorithm II for power coordination in battery energy storage systems for DC distribution network applications. Journal of Energy Storage, 113, p.115430. https://doi.org/10.1016/j.est.2025.115430.
11. Maria Camila Vega Peña, Oscar Danilo Montoya Giraldo, Walter Gil-González. (2025). Applying an Optimization Algorithm Based on the Cauchy Distribution for Active and Reactive Power Management with Batteries in Energy Distribution Systems. Ingeniería, 30(2), p.e22852. https://doi.org/10.14483/23448393.22852.
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