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Rotating Field Machines: mmf, emf and Torque

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Part of the book series: Power Systems ((POWSYS))

Abstract

Rotating fields are the basis for most electric drives (induction and synchronous machines). First, the generation of a rotating field is discussed. As in the previous chapters, we start again from the basic electromagnetic laws. Both using a graphical depiction and a more mathematical method the rotating field generation is explained. Next, the emf is discussed. Finally, the torque on a (rotating) current layer in a (rotating) field is discussed.

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Notes

  1. 1.

    Remark that the sign of \(j\gamma \) in Eq. 3.8 is opposite to that used in time phasors; more on that convention later on.

  2. 2.

    One revolution of the rotor corresponds to \(2\pi \) mechanical radians and to \(2\pi .N_{p}\) electrical radians where \(N_{p}\) is the number of pole pairs; otherwise said the circumference of the rotor corresponds to \(2N_{p}\) pole pitches, i.e. \(2\pi r=2N_{p}\tau _{p}\) while each pole pitch corresponds to \(\pi \)electrical radians.

  3. 3.

    Slots protect the windings but they also result in a useful spread of the forces on the iron.

  4. 4.

    Actually, the notion mmf is, strictly spoken, always related to a closed field line but in machine theory it is also used in lieu of magnetic potential difference.

  5. 5.

    In a diameter winding the coil width, i.e. the distance between entrance and exit conductors of a turn, is exactly one pole pitch.

  6. 6.

    As mentioned above, in a diameter winding the coil diameter is equal to a pole pitch.

  7. 7.

    In some winding arrangements m.

  8. 8.

    Indeed, in Figs. 3.5 and 3.11 the jumps of the mmf curve at each slot correspond to the Dirac functions for the ampere-turns in the slots.

  9. 9.

    Give an interpretation of the last term?

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Correspondence to Jan A Melkebeek .

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Melkebeek, J.A. (2018). Rotating Field Machines: mmf, emf and Torque. In: Electrical Machines and Drives. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-72730-1_3

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  • DOI: https://doi.org/10.1007/978-3-319-72730-1_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-72729-5

  • Online ISBN: 978-3-319-72730-1

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