Page 94 - Servo Motors and Industrial Control Theory -
P. 94

4.8   Effect of Form Factor on Speed Fluctuation                87

              Fig. 4.15   Velocity of
            fluctuation of the motor
            at current of 20 amps and
            speed 100 rpm. Frequency of                                  4 RPM
            oscillation = 150 Hz
                                                                         20 AMPS



              Fig. 4.16   A typical PWM                         Mark
            system





                                                                   Space


              It can be seen that at a speed of 6 rpm the fluctuation of the actual rotor is 8 rpm
            and the current drawn from the system is 20 AMPS.
              Next experiment was conducted when the motor was run at relatively high speed
            (100 rpm) and the current from the motor was 20 AMPS. Figure 4.15 shows the
            response of velocity fluctuation and the shape of the current.
              It can be seen that three is speed fluctuation at all speed and current. The worst
            condition is when the motor run at slow speed and high current. To reduce the
            speed of fluctuation at low firing angle the thyristors are fired at both directions i.e.
            it produces current at both direction and this gives a position or velocity stiffness.
            The Thyristor controlled DC voltage at three phase power supply the fluctuation is
            very small.
              For very high performance application Pulse Width Modulation (PWM) tech-
            nique can be used. In this case the three phase power supply is rectified with full
            wave rectification. The output DC voltage is then controls the average output volt-
            age. The output variable voltage is in the form of square pulses where the electron-
            ics in the drive controls the mark space ratio which determines the average output
            voltage. This is graphically shown below, (Fig. 4.16).
              The mark space ratio is determined by the drive unit and the frequency of pulses
            can be as high as 2 kHz. This minimizes the fluctuation of the speed considerably
            in fact it is negligible. Figure below shows the average voltage against the mark
            space ratio. It can be seen that the average voltage is a straight line which means
            the system has a constant gain. This kind of drive is suitable for position control
            applications (Fig. 4.17).
              In the design of power supply one should consider that whether the small fluc-
            tuation can be tolerated or not. If it is acceptable one should purchase Thyristor
            controlled drive unit because it is cheaper. If it is not acceptable PWM drive is the
            best choice. As the performance improves the drive becomes more expensive. The
            overall cost depends on the number of axes to be driven and whether the position
            must be controlled or the position of output.
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