# Question B.1: Calculate the breadth, pitch, and winding factors for the di......

Calculate the breadth, pitch, and winding factors for the distributed fractional-pitch winding of Fig. B.2.

Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.

The winding of Fig. B.2 has two coils per phase belt, separated by an electrical angle of 30°. From Eq. B.6 the breadth factor is

$k_{\mathrm{b}}=\frac{AD}{nAB}=\frac{\sin (n \gamma / 2)}{n \sin (\gamma / 2)} \quad \quad \quad (B.6)$

$k_{\mathrm{b}}=\frac{\sin (n \gamma / 2)}{n \sin (\gamma / 2)}=\frac{\sin \left[2\left(30^{\circ}\right) / 2\right]}{2 \sin \left(30^{\circ} / 2\right)}=0.966$

The fractional-pitch coils span 150° = 5π/6 rad, and from Eq. B.14 pitch factor is

$k_{\mathrm{p}}=\cos \left(\frac{π – ρ}{2}\right)=\sin \left(\frac{\rho}{2}\right) \quad \quad \quad (B.14)$

$k_{\mathrm{p}}=\sin \left(\frac{\rho}{2}\right)=\sin \left(\frac{5 \pi}{12}\right)=0.966$

The winding factor is

$k_{\mathrm{w}}=k_{\mathrm{b}} k_{\mathrm{p}}=0.933$

Question: B.2