Abstract
This paper presents a new hybrid method that combines jumping frog and particle swarm optimization and probabilistic three-phase load flow to improve unbalanced voltages in distribution systems with photovoltaic generators. This paper applies a new three-phase probabilistic load flow based on the Monte Carlo simulation. The voltage regulation is one of the principal problems to be addressed in photovoltaic distributed generation. The proposed method defines the nodes where photovoltaic grid-connected system is connected and their mean power output minimizing the maximum value of voltage unbalances at the nodes. Numerical applications are presented using the unbalanced distribution system IEEE 13-nodes and including photovoltaic generators at several nodes. The results obtained show the decrease in the unbalance factor due to the presence of distributed generation.
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