Optimal design of PV systems in electrical distribution networks by minimizing the annual equivalent operative costs through the discrete-continuous vortex search algorithm

This paper discusses the minimization of the total annual operative cost for a planning period of 20 years composed by the annualized costs of the energy purchasing at the substation bus summed with the annualized investment costs in photovoltaic (PV) sources, including their maintenance costs in di...

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Detalles Bibliográficos
Autores: Cortés-Caicedo, Brandon, Molina-Martin, Federico, Grisales-Noreña, Luis Fernando, Montoya, Oscar Danilo, Hernández, Jesus C.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Jaén
Repositorio:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
OAI Identifier:oai:ruja.ujaen.es:10953/6574
Acceso en línea:https://www.mdpi.com/1424-8220/22/3/851
https://doi.org/10.3390/s22030851
https://hdl.handle.net/10953/6574
Access Level:acceso abierto
Palabra clave:annual operative cost
discrete-continuous vortex search algorithm
location and sizing of PV systems
AC and DC distribution systems
621.35
Descripción
Sumario:This paper discusses the minimization of the total annual operative cost for a planning period of 20 years composed by the annualized costs of the energy purchasing at the substation bus summed with the annualized investment costs in photovoltaic (PV) sources, including their maintenance costs in distribution networks based on their optimal siting and sizing. This problem is presented using a mixed-integer nonlinear programming model, which is resolved by applying a master–slave methodology. The master stage, consisting of a discrete-continuous version of the Vortex Search Algorithm (DCVSA), is responsible for providing the optimal locations and sizes for the PV sources—whereas the slave stage employs the Matricial Backward/Forward Power Flow Method, which is used to determine the fitness function value for each individual provided by the master stage. Numerical results in the IEEE 33- and 69-node systems with AC and DC topologies illustrate the efficiency of the proposed approach when compared to the discrete-continuous version of the Chu and Beasley genetic algorithm with the optimal location of three PV sources. All the numerical validations were carried out in the MATLAB programming environment.