강의노트 권선법 _ 경사 슬롯 계수

경사 슬롯 계수

• 직선 슬롯의 전압 : $e_{n}= E_{m}$

• 경사 슬롯의 전압 :

$$\begin{aligned} e_s &=\dfrac{1}{\theta_s} \int_{\frac{\pi}{2}-\frac{\theta_s}{2}} ^{\frac{\pi}{2}+\frac{\theta_s}{2}} E_m \sin(\omega t) d(\omega t) \\ &= -\dfrac{E_m}{\theta_s} \cos(\omega t) \biggr]_{\frac{\pi}{2} -\frac{\theta_s}{2}} ^{\frac{\pi}{2}+\frac{\theta_s}{2}} \\ &= - \dfrac{E_m}{\theta_s} \left( \cos \left( \dfrac{\pi}{2}+\dfrac{\theta_s}{2} \right)-\cos \left( \dfrac{\pi}{2}-\dfrac{\theta_s}{2} \right) \right) \\ &=\dfrac{2 E_m \sin \dfrac{\theta_s}{2}}{\theta_s} \end{aligned}$$

$$k_s = \dfrac{e_s}{e_n} = \dfrac{\dfrac{2 E_m \sin \dfrac{\theta_s}{2}}{\theta_s}}{E_m} = \dfrac {\sin \dfrac{\theta_s}{2}}{\dfrac{\theta_s}{2}}$$