Harmonic interactions in thyristor controlled reactor circuits

Harmonics that arise from the interaction of thyristor-controlled reactors (TCRs) and power systems are difficult to analyze. Two methods are described. The first develops a Fourier matrix model for the TCR. The coupling between the harmonics through the system impedance is clearly shown. The second method uses state-variable analysis to write the system equations for a circuit containing TCR. The system of equations that result are linear with time-varying coefficients. Using linear system theory, statements on resonance conditions can be made