Second University of Naples, ItalyAbstract—The use of switching devices, such as IGBTs, characterised by high switching frequencies and verylow switching times in new generation pulse width modulation (PWM) inverters has increased the efficiencyand performances of Adjustable Speed Drives (ASDs) for industrial and traction applications. However, suchsystems may be affected by disadvantages like over voltages at the motor terminals, when long cables are usedbetween the drive, and the generation of rotor shaft voltage, due to the capacitive couplings in the motor(between the windings and the rotor and between the rotor and the stator). The shaft voltage may cause thebreakdown of the lubricating film in the bearings. The resulting impulsive currents, by damaging the bearingelements shorten the component life, which in turn seriously affects the ASD reliability. For this reason, it is ofgreat importance to develop numerical models able to predict the shaft voltage so as to estimate the currentsflowing through the bearings. Several works, based on either concentrated or distributed circuit models, havebeen proposed for the evaluation of the shaft voltage magnitudes for several motors sizes. However, the resultsobtained by such approaches suffer from approximations and simplifications in the considered circuit model.Therefore, in the present paper, a numerical model able to accurately predict the shaft voltage in high powerinduction motor for traction applications fed by a PWM inverter is presented. The windings of the motorare modelled by a multi conductor transmission line (MTL), whereas the cables between the source and themotor are described by a single transmission line. The effect of wave propagation and reflection and of thefrequency-dependent distributed losses is considered by using a time-domain equivalent circuit to represent theMTL. A semi-analytical method, based on the perturbation theory of the spectrum of symmetric matrices, isadopted. The parameters of the MTL are obtained either analytically or numerically by using a commercialsoftware (Maxwellr by Ansoft). The effects of the rise time of the input voltage together with the length ofthe cables are considered.
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