Chaotic Dynamics Characteristic Analysis for Matrix Converter

The unstable oscillation of autonomous dynamic system of a matrix converter (MC) is studied based on nonlinear dynamic theory, and its chaotic characteristic is analyzed. Analysis based on the fundamental-harmonic nonlinear state equations shows that the system loses stability via a Hopf bifurcation. The behavior of the system near the critical power is examined through simulation. The trajectories obtained by the fundamental-harmonic nonlinear state equations show some typical chaotic characteristics such as extreme sensitivity to initial values and self-similarity. Power density spectrum and Lyapunov exponents of the MC are obtained from simulation results. Finally, the trajectories drawn based on experimental data show some behaviors very similar to those from simulation results, which implies a possible chaotic status in the electrical drive system fed by MC.