Page 105 - Servo Motors and Industrial Control Theory -
P. 105

98                                              5  Stepping Servo Motors


            Fig. 5.7   Typical speed-
            torque characteristic of step-
            ping motors
                                                                Pull-out torque vs.
                                                                switching rate
                                        Torque  Response
                                               range
                                                             Slew
                                                             range

                                               Pull-in torque vs.
                                               switching rate
                                                         Maximum    Maximum
                                                         pull-in rate  pull-out rate


            encoder and the information about the output position is fed back to the controller.
            The required position is compared with output position and with respect to the error
            the switching rate is applied. In this mode, the loss of steps is avoided. This is shown
            in block diagram form in Fig. 5.8.
              Although the input and output positions are in digital form, they can be written
            in analogue form. The controller output may be written as


                                        V: K(θθ−    )                    (5.13)
                                              i
                                                 o
            V is the output voltage which determines the switching rates. K is the gain and θ ,
                                                                             i
            θ  are the demand and actual output position. When the stepping motor is energized
             o
            at a specific switching rate then the voltage equation assuming with inductance L
            may be written as
                                        V: =RI+LsI                       (5.14)

            It should be noted that for stepping motors there is no internal velocity feedback.
            This means that the damping ratio in stepping motors are less than that of DC servo



                                                            External
                                                            Torque

                                                                output position
                          +      controller  stepping motor  Load
                 Input Pulses
                           -
                                       position encoder

            Fig. 5.8   Stepping motors in closed loop position control
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