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Interaction of Magnetic Fields (Motor Action)

Interaction of Magnetic Fields (Motor Action). Look at adjacent current-carrying conductors Currents in opposite directions Flux “bunching” between the conductors Force of repulsion acts to separate the conductors. Interaction of Magnetic Fields (Motor Action). Currents in the same direction

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Interaction of Magnetic Fields (Motor Action)

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  1. Interaction of Magnetic Fields(Motor Action) • Look at adjacent current-carrying conductors • Currents in opposite directions • Flux “bunching” between the conductors • Force of repulsion acts to separate the conductors ECE 441

  2. Interaction of Magnetic Fields(Motor Action) • Currents in the same direction • Flux in space between conductors in “opposite” directions • Force of attraction acts to pull the conductors together ECE 441

  3. Elementary Two-Pole Motor • Rotor core with 2 insulated conductors in “slots” • A stationary magnet – the “stator” ECE 441

  4. Current-Carrying Conductor in a Magnetic Field ECE 441

  5. Current-Carrying Conductor in a Magnetic Field • Current-carrying conductor perpendicular to the B-field ECE 441

  6. Magnitude of the force on the conductor in a Magnetic Field • Magnitude of the mechanical force on the conductor is Where F = mechanical force (N) B = flux density in the stator field (T) = the effective length of the rotor conductor I = current in the rotor conductor (A) ECE 441

  7. Conductor “skewed” to the B-fieldby angle  = effective length of the rotor conductor (m) ECE 441

  8. Single-Loop Rotor CoilCarrying a CurrentSituated in a Two-Pole Field ECE 441

  9. Torque produced by the 2-conductor couple ECE 441

  10. Elementary Two-Pole Generator ECE 441

  11. Voltage induced in the coil, e • Flux through the coil window is sinusoidal • Φ= Φmaxsin(ωt) • Voltage induced in coil,e • e = N(dΦ/dt) • e = NωΦmaxcos(ωt) • Emax = ωNΦmax • Emax = 2πfNΦmax • Erms = 4.44fNΦmax ECE 441

  12. Directions of induced voltage and current • Develop CCW counter-torque • “Bunching” must occur at the top of coil side B and the bottom of coil side A • Coil current is CCW as viewed from south pole ECE 441

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