Desarrollo de un modelo matemático para análisis de flujos de carga en redes eléctricas de distribución desequilibradas de bajo voltaje, aplicando la metodología “forward and backward”.

Abstract

This paper presents the development of a robust and efficient mathematical model to calculate power flows in electric distribution systems (EDS) with unbalanced or balanced radial configuration, and can also be applied in medium and/or low voltage networks of the EDS. Initially, the performance of the different existing methodologies is evaluated, considering calculation times, iterations required by each method, mathematical complexity, among other relevant aspects; with this analysis, the most robust methodology to solve power flows in radial type distribution power systems for medium and/or low voltage, the so-called backward/forward sweep by sum of currents, is determined; consequently, the extended mathematical model for this methodology is formulated. This developed methodology has been applied for four test networks, two IEEE networks (13 nodes with voltages of 4.16 and 0.48 kV and the network of 33 nodes of 13.2 kV); and two ELEPCOSA networks in low voltage combined between single-phase (127 V), two-phase (220 V) and three-phase (220 V). The results were compared with those calculated by modeling in the commercial programs CYMDIST and DIgSILENT's PowerFactory, obtaining a minimum mathematical correlation of 99.72%, thus concluding that the mathematical model developed is adequate for medium and/or low voltage unbalanced radial SEDs. And finally, it is necessary to indicate that for all the calculated networks the power flow converged.