Swift time domain solution of electric systems including SVSs

This contribution deals with the application of Newton methods based on the Poincare map to accelerate the convergence to the limit cycle and to obtain the periodic steady state solution of electric networks containing static VAr systems (SVS). A three-phase time domain model for the SVS and the inclusion of the control system required for its automatic operation are presented. This is the first time that a full closed-loop control system has been included in a harmonic-oriented method. Furthermore, a model for the thyristor valves based on elementary functions is presented together with a scheme for determining the switching instants of the valves. Simulation results are compared against measurements taken in the laboratory in a TCR circuit.