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                       Change of Supply Current Frequency
                       Solid state variable-frequency drives first began to appear in 1968. They were originally applied to the
                       control of synchronous ac motors in the synthetic fiber industry and rapidly gained acceptance in that
                       particular market. In more recent times they have been used in applications to pumping, synchronized
                       press lines, conveyor lines, and to a lesser extent in the machine-tool industry as spindle drives. Modern
                       ac variable-frequency motors are available in power ratings ranging from 1 to 750 kW and with speed
                       ranges from 10/1 to 100/1.
                         The synchronous and squirrel cage induction motors are the types most commonly used in conjunction
                       with solid-state, adjustable frequency inverter systems. In operation the motor runs at, or near, the
                       synchronous speed determined by the input current frequency. The torque available at low speed,
                       however, is decreased and the motor may have to be somewhat oversized to ensure adequate performance
                       at the lower speeds. The most advanced systems incorporate a digital tachogenerator to supply a corrective
                       feedback signal which is compared against a reference frequency. This gives a speed regulation of about
                       3%. Consequently, the ac variable-frequency drive is generally used only for moderate to high power
                       velocity control applications, where a wide range of speed is not required. The comparative simplicity
                       of the ac induction motor is usually sacrificed to the complexity and cost of the control electronics.
                       Change of Number of Poles
                       By bringing out the ends of the stator coils to a specially designed switch it becomes possible to change
                       an induction motor from one pole configuration to another. To obtain three different pole numbers, and
                       hence three different speeds, a fairly complex switching device would be required.
                         Changing the number of poles gives a discrete change in motor speed with little variation in speed
                       over the switched range. For many applications, however, two discrete speeds are all that is required and
                       changing the number of poles is a simple and effective method af achieving this.
                       Changing the Rotor Resistance
                       For slip-ring induction motors additional resistance can be coupled in series with the rotor circuit. It
                       has already been stated that this is a common enough method used to limit the starting current of such
                       machines. It can also be used as a method of marginal speed control. Figure 20.74 shows the torque
                       characteristics of a slip-ring induction motor for a range of different resistances connected in series with
                       the rotor windings.
                         As the external resistance is increased from R 1  to R 3 , a corresponding reduction in speed is achieved
                       at any particular torque. The range of speeds is increased at the higher torques.
                         The method is simple and therefore inexpensive, but the reduction in speed is accompanied with a
                       reduction in overall efficiency. Additionally, with a large resistance in the rotor circuit, i.e., R 3 , the speed
                       changes considerably with variations in torque.
                       Reduced Stator Voltage
                       By reducing the applied stator voltage a family of torque–speed characteristics are obtained, as shown in
                       Fig. 20.75. It is evident that as the stator voltage is reduced from V 1  to V 3 , a change in speed is effected


                                                                    Maximum, or
                                                                    breakdown torque
                                            Torque                R
                                                               R 2  1
                                                             R
                                                              3
                                                                      Load Torque

                                                                N N N
                                                                 3  2 1
                                                           Speed

                       FIGURE 20.74   Torque–speed characteristics for various rotor resistances.


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