Voltage sensitivity analysis to determine the optimal integration of distributed generation in distribution systems

Katherine Cabana, John Candelo, Rafael Castillo, Emiro De la Hoz Franco


This paper presents a voltage sensitivity analysis with respect to the real power injected with renewable energies to determine the optimal integration of distributed generation (DG) in distribution systems (DS). The best nodes where the power injections improve voltages magnitudes complying with the constraints are determined. As it is a combinatorial problem, particle swarm optimization (PSO) and simulated annealing (SA) were used to change injections from 10% to 60% of the total power load using solar and wind generators and find the candidate nodes for installing power sources. The method was tested using the 33-node, 69-node and 118-node radial distribution networks. The results showed that the best nodes for injecting real power with renewable energies were selected for the distribution network by using the voltage sensitivity analysis. Algorithms found the best nodes for the three radial distribution networks with similar values in the maximum injection of real power, suggesting that this value maintains for all the power system cases. The injections applied to the different nodes showed that voltage magnitudes increase significantly, especially when exceeding the maximum penetration of DG. The test showed that some nodes support injections up to the limits, but the voltages increase considerably on all nodes.


voltage magnitudes; sensitivity analysis; distribution networks; distributed generation; metaheuristic algorithms

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DOI: http://doi.org/10.11591/ijece.v9i1.pp55-65
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ISSN 2088-8708, e-ISSN 2722-2578