Modelagem tensorial de GCSC e projeto de controlador de potência ativa

Abstract

This work presents the development of an analytical model for a balanced threephase power system containing a Gate-Controlled Series Capacitor (GCSC). The modeling is performed for the steady state and the transient state. The tensorial analysis is applied to relate the coefficients of the dynamic phasors of currents and voltages in a linear way. Validation tests are conducted using the electromagnetic transients program PSCAD/EMTDC as benchmark. After that, the analytical model is used for the specific purpose of designing a active power controller for the circuit load. The nonlinear relation between the turnoff angle of the valves and the active power is fitted to a transfer function, using non-linear least squares regression, in order to apply controller design techniques of linear control systems. The controller design is developed with an initial adjustment method according to the Modulus Optimum and then a more sofisticated technique, based on the open-loop system’s root locus and numerical method, is used to improve the controller’s calibration.