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Introduction to Space-Vector Theory

Introduction to Space-Vector Theory. A. -C. B. -A. C. Simple induction machine. A. -B. -C. Stator winding. Solid iron. -B. 0 o. 360 o. B. C. -A. Phase A. magnetic axis. ”corresponding” coil. Phase B. magnetic axis. ”corresponding” coil. Phase C. magnetic axis.

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Introduction to Space-Vector Theory

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  1. Introduction to Space-Vector Theory

  2. A -C B -A C Simple induction machine A -B -C Stator winding Solid iron -B 0o 360o B C -A

  3. Phase A magnetic axis ”corresponding” coil

  4. Phase B magnetic axis ”corresponding” coil

  5. Phase C magnetic axis ”corresponding” coil

  6. B A C Coils of the three-phase system • the maximum of the magnetomotive force coincides with the magnetic axis of the phase • sinusoidal variation along with the air gap

  7. Magnetomotive force (MMF) in the air gap • with a unit phase current and unit number of windings caused by phase A caused by phase B caused by phase C

  8. MMF produced by three-phase currents at t=0 ia=1 ib=-0.5 ic=-0.5

  9. Here, MMF depends on the time and the position angle sinusoidally Phase currents Total MMF Moves to the positive direction

  10. Space-vector theory assumes sinusoidal spatial behaviour • However, the time-variation of the phase quantities can be arbitrary

  11. Pulsating magnetic fields produce a rotating field • Visualisation for the two-phase and two-pole winding • Can you see the rotation..?

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