In this paper, symmetric structure of induction motor system in stationary aflO coordinates is studied by the geometric approach. The results show that the system possesses symmetry (G, 0, ~) and infinitesimal symmetry. Under certain conditions, the system can be transformed into a form possessing state-space symmetry ( G, • ) and infinitesimal state-space symmetry by means of state feedback and input coordinate base transform. The results can be extended to the fifth order induction motor system fed by hysteresis-band current-controlled PWM inverter.
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