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ELECTRIC ACTUATORS: MOTOR AND DRIVE TECHNOLOGY  675
                             step motor. The stator has 8 poles each with 5 teeth on each, making a total of 40 teeth
                             (Figure 8.47), plus the space between each pole: there are 48 spaces. Let us assume that the
                             rotor has 50 teeth. Using full step and half step modes, we can advance the teeth alignment
                             between rotor and stator by the number of rotor teeth times the number of phases times 2.
                             The step angle of an hybrid PM stepper motor is determined by the number of electrical
                             phases (N ) and the number of rotor teeth (N ),
                                                                  r
                                     ph
                                                                  360 ◦
                                                              =                                (8.266)
                                                           step
                                                                2 ⋅ N ⋅ N
                                                                    r  ph
                             The number of steps of a PM stepper motor per revolution is the number of electrical phases
                             times the number of rotor teeth times two,
                                                          N   = 2 ⋅ N ⋅ N                      (8.267)
                                                           step     r  ph
                                  The switching of power transistors from one state to another from ON-to-OFF and
                             OFF-to-ON state instantaneously results in an instantaneous change in the magnetic field.
                             The motor behaves like a mass-spring system. We can take the concept of half step mode
                             further to ratio (smoothly change) the current in phases instead of making transitions from
                             full ON to full OFF states. This will result in smoother motion and electronically controlled
                             finer step sizes. This is the main operating principle of the so-called “micro stepping drives”
                             (Figure 8.50d). As a result of the smoother current switching between phases, the torque
                             acting on the rotor shaft between steps is smoother, and the step motion of the rotor is
                             less oscillatory. In addition, microstepping reduces the resonance and step loss problems
                             associated with step motors which are operated full step and half step current control drives.
                                  The stator windings typically form two phases. If the step motor is to be operated
                             by a unipolar drive, each winding must be center tapped to ground and positive voltage
                             is connected to both ends (Figure 8.51a). The opposite connection can also be made: the
                             center tap is connected to the DC supply voltage, and the other two ends are connected to the
                             ground. Per winding, only one of the connections at a time is switched ON in order to control
                             the direction of the current and hence the generated electromagnetic pole type (north or
                             south). Only half of a particular winding is used at a switched ON state (Figure 8.51a). If the
                             step motor is to be operated by a bipolar drive, then the current direction can be controlled
                             by the drive and all of each winding is used at a switched ON state (Figure 8.51b,c). Some
                             step motors are wound with two separate windings per pole, and hence can be driven by
                             a unipolar or bipolar drive by appropriately terminating the winding ends. For unipolar


                             Stator windings                                       Stator windings

                                          Rotor                     Rotor                   Rotor






                                                                 Stator windings



                                         (a)                        (b)                     (c)
                             FIGURE 8.51: Stator winding connections of a two-phase, four winding step motor:
                             (a) unipolar drive configuration with center tapped connection, (b) bipolar drive configuration
                             with series connection, (c) bipolar drive configuration with parallel connection.
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