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196   Electric Drives and Electromechanical Systems



























             FIG. 7.7 Torque-speed characteristics of an induction motor for supply frequencies of 5, 15, 30, 45 and 60 Hz. The
             supply voltage has been controlled to give constant output torque irrespective of supply frequency. It should be
             noted that to give maximum torque at standstill, the supply frequency needs to be approximately 5 Hz.
             the PWM waveform is normally identical to the approach used in d.c. brushed and
             brushless drives, as discussed in Section 5.3.4.
                Since the supply waveform to the motor is non-sinusoidal, consideration has to be
             given to harmonic losses in an inverter driven motor. In the generation of the PWM
             waveform, consideration must be given to minimising the harmonic content so that the
             motor losses are reduced. Except at low frequencies, it is normal practice to synchronise
             the carrier with the output waveform, and also to ensure that it is an integral ratio of the
             output waveform; this ensures that the harmonic content is minimised. Techniques of
             selective harmonic elimination using a modified PWM waveform have been receiving
             considerable attention because they can reduce the harmonic content even further.
             In the most widely used approach, the basic PWM waveform is modified by the addition
             of notches. This method does not lend itself to conventional analogue or digital
             implementation, and so microprocessors are being widely used to generate the PWM
             waveform.

             7.3 Vector control

             Under scalar control, the motor voltage (or the current) and the supply frequency are the
             control variables. Since the torque and the air-gap flux within an induction motor are
             both functions of the rotor current’s magnitude and frequency, this close coupling leads
             to the relatively sluggish dynamic response of induction motors, compared to high
             performance, d.c., brushed or brushless servo drives. While wide range of approaches are
             available as identified by Tripathi and Vaish (2019), this chapter will review the basic
             principles. As will be discussed, a standard induction motor controlled by a
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