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214   Electric Drives and Electromechanical Systems


             wound onto poles 2, 4, 6, and 8. Hence when phase A carries positive current stator poles
             1 and 5 are magnetized as south, and poles 3 and 7 become north. The teeth on the north
             end of the rotor are attracted to poles 1 and 5 while the offset teeth at the south end of
             the rotor are attracted into line with the teeth on poles 3 and 7. For each winding, two
             different flux directions are possible if the winding is supplied with a bidirectional
             current. The resultant flux directions are shown in Table 8.1.
                The interaction between the stator windings and the rotor magnet can be studied by
             considering the case when phase A is energised by a positive current. Due to the pres-
             ence of the permanent magnet, the flux in the cross-section X-X must flow radially
             outwards, resulting in a flux concentration at poles 3 and 7; the opposite situation occurs
             at the other end of the motor, where the flux flows radially in, and the flux is concen-
             trated in poles 1 and 5. If the magnetic flux is concentrated in certain poles, the rotor will
             tend to align along these poles to minimise the reluctance of the air-gap. When phase A
             is energised with a positive current, this will occur under poles 3 and 8 of section X-X,
             and under poles 1 and 5 of section Y-Y. Continuous rotation of the motor results from the
             sequential excitation of the two motor phases if the excitation of winding A has just been
             removed. and if winding B is now excited with a positive current, then alignment of the
             stator and rotor teeth has to occur under poles 4 and 8 of section X-X and under poles 2
             and 6 of section Y-Y; the rotor has to move clockwise to achieve this alignment. Hence a
             clockwise rotation will require the excitation sequence, Aþ,Bþ, A-, B-, Aþ,Bþ ., and an
             anticlockwise rotation requires Aþ, B-, A-, Bþ,Aþ, B -. . . . The drive circuit for a hybrid
             stepper motor requires bi-direction-current capability, either by the use of an H-bridge
             or of two unipolar drives if the motor is wound with bifilar windings.
                As with variable-reluctance stepper motors, the step length can be related to the
             number of rotor teeth, and, as the complete cycle for a hybrid stepper requires four
             states, the step length is given in degrees by,
                                                          90
                                               Step length ¼                              (8.3)
                                                          R T
             where R T is the number of teeth on the rotor. In the example shown in Fig. 8.3, the step
             angle is 5 degrees, in practice motors are normally available with a somewhat smaller
             step-length.

                   Table 8.1  The relationship between the radial-field direction and the
                   excitation current for a hybrid stepper motor.
                                                                  Direction of radial field
                   Phase            Current direction         Outwards            Inwards
                   A                Positive                  3, 7                1, 5
                   A                Negative                  1, 5                3, 7
                   B                Positive                  4, 8                2, 6
                   B                Negative                  2, 6                4, 8
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