## 14/03/2018

### Rotating Magnetic Field produced by the Two Phase Supply in the Induction Motor

Rotating magnetic Field due to two phase winding
• Let us consider that the two winding P and Q are placed at 90o with respect to each other.
• We assume that when the two phase supply is given to the winding, flux produces in each winding is purely sinusoidal.
• The waveform of the flux is shown in the figure B.
• The direction of the flux is assumed as positive whereas its opposite sides indicates negative values. The instantaneous value of flux can be given by

FP = Fm Sin θ

FQ = Fm Sin ( θ – 90o )

Point 1
• FP = 0 and
• FQ = –  Fm
• Resultant flux F = √ P2 + Q2 – 2PQCos θ

= √ 0 + ( –  Fm )2 – 0
=  Fm
Point 2
• FP = Fm / √ 2 and
• FQ = –  Fm / √ 2
• Resultant flux F = √ P2 + Q2 – 2PQCos θ

= √ Fm2 / 2 + Fm2 / 2 + 0
=  Fm
Point 3
• FPFm and
• FQ = 0
• Resultant flux F = √ P2 + Q2 – 2PQCos θ

= √ ( Fm )2 + 0
=  Fm
Point 4
• FP = – Fm / √ 2 and
• FQ = Fm / √ 2
• Resultant flux F = √ P2 + Q2 – 2PQCos θ

= √ Fm2 / 2 + Fm2 / 2 + 0
=  Fm

#### Conclusion The rotating magnetic field produced by two phase winding is constant in magnitude. It rotates at constant synchronous speed in the clockwise direction

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