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Topic:
Rotating Magnetic Field and its
production
Rotating Magnetic Field (R.M.F)
• has constant amplitude
• but keeps on rotating continuously in a plane with a certain speed.
• Is produced with the help of three phase stationary windings
• Current winding produces the magnetic field.
• Due to the interaction of the three fluxes produced in the windings,
RMF is produced without physically rotating the rotor.
Circuit diagram for three phase induction motor
Production Of RMF:
• The three phase windings are displaced from each other by 120° e. The
windings are supplied by a balanced three phase ac supply.
• The three phase currents flow simultaneously through the windings and
are displaced from each other by 120° electrical.
• Each alternating phase current produces its own flux which is sinusoidal. So
all three fluxes are sinusoidal and are separated from each other by 120°.
• If the phase sequence of the windings is R-Y-B, then mathematical
equations for the instantaneous values of the three fluxes ΦR , ΦY ,ΦB can
be written as,
• ΦR = Φmsin(ωt)
• ΦY = Φmsin(ωt - 120)
• ΦB = Φmsin(ωt - 240)
As windings are identical and supply is balanced, the magnitude of each flux
is Φm .
• Case 1 : ωt = 0
ΦR = Φmsin(0) = 0
ΦY = Φmsin(-120) = -0.866 Φm
ΦB = Φmsin(120) = +0.866 Φm
• Case 2 : ωt = 60
ΦR = Φmsin(60) = +0.866 Φm
ΦY = Φmsin(- 60) = -0.866 Φm
ΦB = Φmsin(- 180) = 0
• Case 3 : ωt = 120
ΦR = Φmsin(120) = +0.866 Φm
ΦY = Φmsin(180) = 0
ΦB = Φmsin(-120) = -0.866 Φm
• Case 4 : ωt = 180
ΦR = Φmsin(180) = 0
ΦY = Φmsin(60) = +.866 Φm
ΦB = Φmsin(-60) = -0.866 Φm
By comparing the electrical and phasor diagrams we can find
the flux rotates one complete 360 degree on the 180 degree
displacement of flux.
Conditions for Production of RMF
• The stator 3- phase winding should be placed at 120
degrees is space
• The current supply to these winding should be
balanced.
• The direction of rotation of the magnetic field can
be varied according to the phase sequence.
• A three-phase winding displaced in space by 1200 is
fed by a three-phase current displaced in time by
1200 :
• It produces a resultant magnetic flux which rotates
in space as if actual magnetic poles were being
rotated mechanically.
Conclusions:
• The magnitude of the Rotating magnetic field is always constant i.e.
its value remains the same at any instant of time.
• The direction of RMF is decided according to the phase sequence of
the winding
• The speed of rotation of the RMF is equal to the angular frequency of
the supply voltage which in a way depends on the synchronous speed
of the machine.
Ac machines: Rotating Magnetic Field and its production

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Ac machines: Rotating Magnetic Field and its production

  • 1. Topic: Rotating Magnetic Field and its production
  • 2. Rotating Magnetic Field (R.M.F) • has constant amplitude • but keeps on rotating continuously in a plane with a certain speed. • Is produced with the help of three phase stationary windings • Current winding produces the magnetic field. • Due to the interaction of the three fluxes produced in the windings, RMF is produced without physically rotating the rotor.
  • 3. Circuit diagram for three phase induction motor
  • 4. Production Of RMF: • The three phase windings are displaced from each other by 120° e. The windings are supplied by a balanced three phase ac supply. • The three phase currents flow simultaneously through the windings and are displaced from each other by 120° electrical. • Each alternating phase current produces its own flux which is sinusoidal. So all three fluxes are sinusoidal and are separated from each other by 120°. • If the phase sequence of the windings is R-Y-B, then mathematical equations for the instantaneous values of the three fluxes ΦR , ΦY ,ΦB can be written as, • ΦR = Φmsin(ωt) • ΦY = Φmsin(ωt - 120) • ΦB = Φmsin(ωt - 240)
  • 5. As windings are identical and supply is balanced, the magnitude of each flux is Φm .
  • 6. • Case 1 : ωt = 0 ΦR = Φmsin(0) = 0 ΦY = Φmsin(-120) = -0.866 Φm ΦB = Φmsin(120) = +0.866 Φm • Case 2 : ωt = 60 ΦR = Φmsin(60) = +0.866 Φm ΦY = Φmsin(- 60) = -0.866 Φm ΦB = Φmsin(- 180) = 0 • Case 3 : ωt = 120 ΦR = Φmsin(120) = +0.866 Φm ΦY = Φmsin(180) = 0 ΦB = Φmsin(-120) = -0.866 Φm • Case 4 : ωt = 180 ΦR = Φmsin(180) = 0 ΦY = Φmsin(60) = +.866 Φm ΦB = Φmsin(-60) = -0.866 Φm By comparing the electrical and phasor diagrams we can find the flux rotates one complete 360 degree on the 180 degree displacement of flux.
  • 7. Conditions for Production of RMF • The stator 3- phase winding should be placed at 120 degrees is space • The current supply to these winding should be balanced. • The direction of rotation of the magnetic field can be varied according to the phase sequence. • A three-phase winding displaced in space by 1200 is fed by a three-phase current displaced in time by 1200 : • It produces a resultant magnetic flux which rotates in space as if actual magnetic poles were being rotated mechanically.
  • 8. Conclusions: • The magnitude of the Rotating magnetic field is always constant i.e. its value remains the same at any instant of time. • The direction of RMF is decided according to the phase sequence of the winding • The speed of rotation of the RMF is equal to the angular frequency of the supply voltage which in a way depends on the synchronous speed of the machine.