A set of AC generators at a hydroelectric plant are driven by turbines that catc

Question

A set of AC generators at a hydroelectric plant are driven by turbines that catch the moving water. The outgoing AC power needs to have an oscillatory period of 5 ms. At what angular speed (rad/s) must the turbines spin if the generators have 20 poles? A set of AC generators at a hydroelectric plant are driven by turbines that catch the moving water. The outgoing AC power needs to have an oscillatory period of 5 ms. At what angular speed (rad/s) must the turbines spin if the generators have 20 poles? A set of AC generators at a hydroelectric plant are driven by turbines that catch the moving water. The outgoing AC power needs to have an oscillatory period of 5 ms. At what angular speed (rad/s) must the turbines spin if the generators have 20 poles?

Explanation / Answer

Period, T = 5*pi*10^-3 s.

So, frequency f = 1/T = 1 / (5*pi*10^-3) = 63.67 Hz

The relationship between angular speed (rpm) and no. of poles is -

N = (120*f) / p

where p = no. of poles = 20

So, N = (120*63.67) / 20 = 382.02 rpm

convert this in rad/s.

N = (382.02x2x3.141) / 60 = 40 rad/s.

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