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Capacitors placement in distribution systems with nonlinear load by using the variables’ inclusion and interchange algorithm
Ubicación de capacitores en sistemas de distribución con carga no lineal mediante el algoritmo de inclusión e intercambio de variables
DOI:
https://doi.org/10.15446/dyna.v88n217.91145Palabras clave:
capacitors; harmonics; distribution systems; optimization algorithms (en)capacitores; armónicos; sistemas de distribución; algoritmos de optimización. (es)
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This work presents a substantial improvement of the variables’ inclusion and interchange algorithm (VIIA) for capacitors placement that considers circuits with harmonic distortion. Several load states are considered, and fixed and switched capacitors are employed in optimization. All the pertinent constraints of voltage magnitude, total harmonic distortion, individual harmonic distortion, and of overstress of capacitors are implemented. The here defined global harmonic-distortion index states the distance to the feasibility or the unfeasibility of a solution with respect the harmonic distortion constraints. The inclusion in the sequential quadratic programming sub-problem of an inequality linear constraint on this global harmonic-distortion index, allows the determining of solutions that comply with the harmonic distortion related constraints. A comparison of the solutions of various examples obtained by the presented method with the best solutions obtained by the Matlab’s genetic algorithm shows the effectiveness of this method.
Este trabajo presenta una mejora sustancial del algoritmo de inclusión e intercambio de variables (VIIA) para ubicación de capacitores. Son considerados varios estados de carga y se emplean capacitores fijos y controlados en la optimización. Todas las restricciones pertinentes de distorsión total de armónicos, distorsión individual de armónicos y de sobrecarga de capacitores son implementadas. El índice de distorsión armónica global que aquí se define, establece la distancia a la factibilidad o no factibilidad de una solución con respecto a las restricciones de distorsión armónica. La inclusión en el sub-problema de programación cuadrática secuencial, de una restricción lineal de desigualdad sobre este índice global de distorsión armónica, permite determinar soluciones que cumplen con las restricciones relacionadas a la distorsión armónica. Una comparación de las soluciones obtenidas para varios ejemplos por el método presentado con las mejores soluciones obtenidas por el algoritmo genético de Matlab, muestra la efectividad de este método.
Referencias
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CrossRef Cited-by
1. Oscar Danilo Montoya, Walter Gil-González, Alejandro Garcés. (2022). On the Conic Convex Approximation to Locate and Size Fixed-Step Capacitor Banks in Distribution Networks. Computation, 10(2), p.32. https://doi.org/10.3390/computation10020032.
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