Page 683 - Mechatronics with Experiments
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ELECTRIC ACTUATORS: MOTOR AND DRIVE TECHNOLOGY  669
                                Torque (% T )                        Torque (% T )
                                       r
                                                                            r
                                       100%Vr,      Vr is rated voltage  50%
                                                                            75%
                                        75%Vr
                                                                                 100%
                                        50%Vr                                         125% of rated frequency
                                        25%Vr
                                                   100                       50       75        100        125
                                                       Speed (% w  )                        Speed (% w  )
                                                              syn                                 syn
                                             (a)                                 (b)
                                Torque (% T )                        Torque (% T )
                                       r
                                                                           r
                                   V , w    V , w e2  V , w e3
                                             02
                                                     03
                                   01  e1                        T
                                                                  max
                                                                     Intermediate
                                                                     duty zone
                                                                 T
                                                                  rms
                                    V > V > V                         Continuous
                                     03   02   01
                                     w > w > w                        duty zone
                                     e3   e2   e1
                                                       Speed (% w  )                        Speed (% w  )
                                                              syn
                                                                                                  syn
                                             (c)                                 (d)
                             FIGURE 8.43: AC induction motor torque-speed performance in steady-state under various
                             control methods for varying voltage, frequency, and current in the motor stator phase
                             windings: (a) variable voltage amplitude, fixed frequency, (b) variable frequency, fixed voltage,
                             (c) variable voltage and variable freqency, while keeping the voltage to frequency ratio constant
                             for different frequency ranges (Volt/Hertz method), (d) field oriented vector control.
                             DC brushless motor. In order to commutate the current in the windings so that two magnetic
                             fields are perpendicular for maximum torque generation per current unit, measuring rotor
                             angle is not sufficient to know the relative angle between the magnetic field of the stator and
                             the magnetic field of the rotor. The “field oriented vector control algorithm” is the name
                             used for AC motor current commutation where the angle between the magnetic fields (the
                             magnetic field of the stator and the induced magnetic field of the rotor) is estimated based
                             on the dynamic model of the motor.
                                  Assuming that this angle between the two magnetic fields is known, an AC motor
                             can be commutated to provide essentially the same torque-speed characteristics of a DC
                             brushless motor (Figure 8.43d). The only difference may be in the transient response.
                             The field oriented vector control algorithm are a current commutation algorithm for AC
                             induction motors. This current commutation algorithm attempts to make an AC induction
                             motor behave like a DC motor, that is to have a linear relationship between the torque
                             and commutated current. The hardware components of a drive for AC motors which can
                             implement the vector control commutation algorithm are identical to that of a drive for
                             DC brushless motors. Both drives attempt the same thing: to maintain a perpendicular
                             relationship between the field magnetic flux vector and the controlled current vector.
                                  The AC induction motor differs from the DC brushless motors in two ways. First,
                             the controlled current is on the stator which induces current in the conductors of the
                             rotor. That induced current generates its own magnetic field in the rotor. The induced
                             magnetic field is not locked to the rotor. There is a slip between the rotor and the induced
                             field. Second, there are two components of the controlled current that are of interest: the
                             component that is parallel to the rotor field and the component that is perpendicular to it.
                             It can be shown mathematically [17] that the parallel component (magnetization current)
                             determines the torque gain of the motor, whereas the perpendicular component determines
                             the current multiplier for torque generation. Let us express the torque–current relationship
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