Mathematical Modeling of a Electric Power Network Segment of Ijuí using the Pi Model

This paper presents the mathematical modeling of a power transmission line of a primary distribution network segment of a power distribution company from Ijuí city, RS, using real data. The Pi model was used for the mathematical modeling of the system, and a curve fit to describe the load profile of the modeled segment was also performed. Pi model describes the behavior of a power transmission line considering the resistance, the capacitance, and the inductance of the cable, the voltage, the current, and the load of the power network. Computational simulations of the Pi model were performed in the algebraic and numerical computation software Matlab using the Simulink Simscape tool that enables the modeling of physical systems. Experimental data set was obtained through the installation of power monitoring equipments in the medium voltage network of the power distribution company. Simulations results showed that the Pi model capture the characteristics of this system with accuracy, presenting error lower than 5%.