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A 3-phase, the 4-pole alternator has 48 stator slots carrying a 3-phase distributed winding. Each coil of the winding is short-chorded by one slot pitch. The winding factor (Kw) is

Given parameters:

  • Number of poles (P) = 4
  • Number of slots (S) = 48
  • Number of phases (m) = 3
  • Coils are short chorded by 1 slot pitch

To find the winding factor Kw, we need to first find the distribution factor Kd and pitch factor Kp.

Calculation of distribution factor Kd:

  • Slot angle (α) = 180°/S/P = 15° (since there are 48 slots and 4 poles)
  • Number of slots per pole per phase (m) = S/P/m = 48/4/3 = 4
  • Using the formula Kd = (sin(mα/2)) / (m sin(α/2)): Kd = (sin(4 x 15°/2)) / (4 x sin(15°/2)) Kd = 0.9576 (rounded to 4 decimal places)

Calculation of pitch factor Kp:

  • Using the formula Kp = cos(α/2): Kp = cos(15°/2) Kp = 0.9914 (rounded to 4 decimal places)

Calculation of winding factor Kw:

  • Kw = Kd x Kp
  • Kw = 0.9576 x 0.9914
  • Kw = 0.9494 (rounded to 4 decimal places)

Therefore, the winding factor Kw for the given parameters is 0.9494.