Additional no-load losses in inverter-fed high-speed cage induction motors

An analysis of additional high-frequency losses in high-speed cage induction motors with closed rotor slots under sinusoidal and inverter supply at no load is presented. Calculated losses are compared with experimental results obtained by measurement on a 270 kW, 16,200/min, prototype motor, at both the delta and star connections of the stator winding. The main additional losses of the prototype motor investigated due to inverter supply are eddy current losses in the stator winding. Both measurement and calculation show that, at the delta connection, the additional losses are higher due to the lower modulation degree of the inverter, causing higher harmonic voltage amplitudes.List of symbols B magnetic flux density, T - b _sheet width of iron sheet, m - b _bar mean width of rotor bar, m - b _sd mean stator tooth width, m - b _Qm mean slot width, m - b _LT square wire side, m - f frequency, Hz - h _bar rotor bar height, m - h _br rotor slot bridge height, m - h _sy stator yoke height, m - I current (rms value), A - k ordinal number of voltage harmonic - k _C Carters factor - k _dHy hysteresis deterioration factor for teeth - k _dFt eddy-current deterioration factor for teeth - k _Fe iron stack fill factor - K _l1k first-order skin effect coefficient of stator inductance for kth voltage harmonic - K _l2k second-order skin effect coefficient of stator inductance for kth voltage harmonic - K _1k first-order skin effect coefficient of stator resistance for kth voltage harmonic - _2k second-order skin effect coefficient of stator resistance for kth voltage harmonic - k _yHy hysteresis deterioration factor for yoke - k _yFt eddy-current deterioration factor for yoke - k _w1 winding factor for fundamental space harmonic - l _b length of winding overhang, m - l _Fe core length, m - L _dc inductance at d.c. current, H - L _r rotor inductance, H - L _s stator inductance, H - M torque, Nm - m _T number of vertically arranged coils in slot - m _TZ number of vertically arranged conductors in slot - n _N rated speed, 1/min - p number of pole pairs - p _Ft eddy current losses per iron mass at 50 Hz, 1 T, W/kg - p _Hy hysteresis losses per iron mass at 50 Hz, 1 T, W/kg - P _Cu copper losses, W - P _Fe iron losses, W - P _Fe,Hy hysteresis losses, W - P _Fe,Ft eddy-current iron losses, W - P _fr friction and windage losses, W - Q _r number of rotor slots - Q _s number of stator slots - R _s stator phase resistance, - R _r rotor phase resistance, - R _dc resistance at d.c. current, - s slip - s _k slip for kth harmonic - U voltage (rms value), V - V volume, m³ - N number of turns per phase - z ₁ average number of conductors in one turn, lying side by side - z ₂ average number of vertically arranged conductors per turn - air-gap length, m - magnetic flux, Wb - electric conductivity, S/m - permeability ( ₀=4×10^–7 H/m: permeability of vacuum), H/m - _r relative permeability - _Fe mass density, kg/m³ - _s leakage coefficient for stator winding - _p pole pitch, m - _sd stator tooth pitch, m G. Joksimovi is on research leave from University of Montenegro, Montenegro, Yugoslavia