During variable speed operation, the energy loss of an induction motor varies depending on the time waveforms (trajectories) of rotational angular velocity, torque, and rotor flux. Therefore, the optimal trajectories should be derived to minimize the energy loss under the given drive conditions. Several motor parameters, such as rotational damping coefficient and core loss resistance, vary based on the operating points. A design method of optimal trajectories with these variations should be discussed for energy saving. In this paper, the optimal trajectories (rotational angular velocity, torque, rotor flux) considering the rotational damping characteristics and the core loss resistance that vary based on the operating point are derived by applying an analytical method. The trajectories near each operating point are derived, and the overall trajectory is derived by connecting them. The rotational damping characteristic at the operating point is obtained from the experimentally measured data. A core loss resistance map is derived by subtracting the known loss component from the experimentally obtained loss map, and the core loss map data at each operating point are obtained and used to design the trajectories.
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