2021
DOI: 10.3390/math9161913
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Optimal Location and Sizing of DGs in DC Networks Using a Hybrid Methodology Based on the PPBIL Algorithm and the VSA

Abstract: In this paper, we propose a master–slave methodology to address the problem of optimal integration (location and sizing) of Distributed Generators (DGs) in Direct Current (DC) networks. This proposed methodology employs a parallel version of the Population-Based Incremental Learning (PPBIL) optimization method in the master stage to solve the location problem and the Vortex Search Algorithm (VSA) in the slave stage to solve the sizing problem. In addition, it uses the reduction of power losses as the objective… Show more

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Cited by 11 publications
(6 citation statements)
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“…Equation ( 14) can be used to calculate the processing time required to evaluate the entire particle swarm using parallel processing, i.e., the Parallel Processing Time (PPT). In this equation, n denotes the number of particles in the swarm; W, the number of workers in the computer; and MTPR, the longest time required to evaluate all the particles using parallel processing [30]. Moreover, function CEIL in this equation makes it possible to obtain the integer of the ratio between the number of particles (n) and the number of workers (W); this in order to determine the number of times that the MTPR is required depending on the n and W selected or used.…”
Section: Parallel Proccessingmentioning
confidence: 99%
“…Equation ( 14) can be used to calculate the processing time required to evaluate the entire particle swarm using parallel processing, i.e., the Parallel Processing Time (PPT). In this equation, n denotes the number of particles in the swarm; W, the number of workers in the computer; and MTPR, the longest time required to evaluate all the particles using parallel processing [30]. Moreover, function CEIL in this equation makes it possible to obtain the integer of the ratio between the number of particles (n) and the number of workers (W); this in order to determine the number of times that the MTPR is required depending on the n and W selected or used.…”
Section: Parallel Proccessingmentioning
confidence: 99%
“…These technologies provide the grid with active and reactive power in order to improve the technical, economical, and environmental indicators related to the operation of the grid [4]. However, the positive or negative effects of these devices on the electrical grid depend on the location and sizing of the DERs within the electrical system [5]. Therefore, the key to improving the technical and economical conditions of EDSs is to use an optimization algorithm to solve the mathematical formulation that represents the problem of the optimal integration of DERs into electrical grids.…”
Section: Introductionmentioning
confidence: 99%
“…are more compatible with DC technologies in nature, the fully DC grid is becoming a reality. Like in the AC networks (Li et al, 2019b), power flow (PF) analysis has drawn strong attention in DC networks with the nonlinear electronic loads (Montoya, 2019), and it presents an essential tool to plan, operate and control DC grids (Li et al, 2018;Grisales-Norena et al, 2021). The PF in DC networks has some similarities with the AC case, but as pointed in Garces, (2018), there are several important differences that deserve to be further concerned.…”
Section: Introductionmentioning
confidence: 99%