Analytical derivation of induction machine efficiency map

Similarly as in field of combustion engines the efficiency map is very convenient tool for comparison of different motor variants. The overall efficiency of the induction machine can be analyzed in this way too. It is well known, that behavior of the induction machine can be easily described by its state space model. However, this description is mostly used in order to analyze the dynamic behavior only. The efficiency of the machine remains mostly out of the scope of the published articles. Moreover, the rotor resistance can change significantly depending on the mode of operation of the induction motor and power loss caused by hysteresis and eddy currents is not included into the consideration at all. Therefore this paper strives first to derive analytically the efficiency of the induction machine and thus prepare the comparison basis for the future impact analysis of changing the machine parameters and respecting the power loss in magnetic yoke.