(a) A $15 \mathrm{~kW}, 440 \mathrm{~V}, 4$ pole 50 Hz , three phase induction motor is built with a stator bore 0.25 m and a core length of 0.16 m . The specific electric loading is $23000 \mathrm{~A} / \mathrm{m}$. Using the data of this machine; determine the core dimensions, number of stator slots and number of stator conductors for a $11 \mathrm{kw}, 460 \mathrm{~V}, 6$ pole, 50 Hz motor. Assume a full load efficiency of 0.84 and power factor of 0.82 for each machine. The winding factor is 0955.
Explanation
To determine the core dimensions for the 11 kW motor, we use the formula $V = rac{P imes 1000}{\eta imes pf imes f}$. The number of stator slots is then calculated using the formula $N = rac{A imes I}{A_s}$. The number of stator conductors is then calculated using the formula $N = rac{A imes I}{A_c}$.
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