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Figure 1737 (a) Squirrel-cage induction motor; (b) conductors in rotor; (c) photo of squirrel-cage induction motor; (d) views of Smokin Buckey motor: rotor, stator, and cross section of stator (Courtesy: David H Koether Photography)
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You are by now acquainted with the notion of a rotating stator magnetic eld Imagine now that a squirrel-cage rotor is inserted in a stator in which such a rotating magnetic eld is present The stator eld will induce voltages in the cage conductors, and if the stator eld is generated by a three-phase source, the resulting rotor currents which circulate in the bars of the squirrel cage, with the conducting path completed by the shorting rings at the end of the cage are also three-phase, and are determined by the magnitude of the induced voltages and by the impedance of the rotor Since the rotor currents are induced by the stator eld, the number of poles and the speed of rotation of the induced magnetic eld are the same as those of the stator eld, if the rotor is at rest Thus, when a stator eld is initially applied, the rotor eld is synchronous with it, and the elds are stationary with respect to each other Thus, according to the earlier discussion, a starting torque is generated If the starting torque is suf cient to cause the rotor to start spinning, the rotor will accelerate up to its operating speed However, an induction motor can never reach synchronous speed; if it did, the rotor would appear to be stationary with respect to the rotating stator eld, since it would be rotating at the same speed But in the absence of relative motion between the stator and rotor elds, no voltage would be induced in the rotor Thus, an induction motor is limited to speeds somewhere below the synchronous speed, ns Let the speed of rotation of
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Introduction to Electric Machines
the rotor be n; then, the rotor is losing ground with respect to the rotation of the stator eld at a speed (ns n) In effect, this is equivalent to backward motion of the rotor at the slip speed, de ned by (ns n) The slip, s, is usually de ned as a fraction of ns : ns n s= (1773) ns which leads to the following expression for the rotor speed: n = ns (1 s) (1774)
The slip, s, is a function of the load, and the amount of slip in a given motor is dependent on its construction and rotor type (squirrel cage or wound rotor) Since there is a relative motion between the stator and rotor elds, voltages will be induced in the rotor at a frequency called the slip frequency, related to the relative speed of the two elds This gives rise to an interesting phenomenon: the rotor eld travels relative to the rotor at the slip speed sns , but the rotor is mechanically traveling at the speed (1 s)ns , so that the net effect is that the rotor eld travels at the speed sns + (1 s)ns = ns (1775)
that is, at synchronous speed The fact that the rotor eld rotates at synchronous speed although the rotor itself does not is extremely important, because it means that the stator and rotor elds will continue to be stationary with respect to each other, and therefore a net torque can be produced As in the case of DC and synchronous motors, important characteristics of induction motors are the starting torque, the maximum torque, and the torquespeed curve These will be discussed shortly, after some analysis of the induction motor is performed in the next few paragraphs
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