A 6-pole synchronous generator is driven by a prime mover at a speed of 800 rpm.

Question

A 6-pole synchronous generator is driven by a prime mover at a speed of 800 rpm. Calculate the frequency of the terminal voltage produced by the generator. Given that the density of petrol is 730 kg (m^3)^-1 and its heat value 45 MJ kg^-1. When filling the fuel tank of a car, it takes 150 seconds to put 45 litres into the tank. Calculate the effective energy flow rate. A 530 MVA turbo-generator is star-connected, with 2 poles and a synchronous reactance of 2 Ohm. It is supplying 500 MW to an infinite bus at 22 kV, 50 Hz and 0.95 pf lagging. Calculate the excitation voltage Vo and the load angle delta. The wind farm at North Hoyle off the Welsh coast has 30 turbines each of which has a maximum output of 2 MW. For a wind speed of 10 m s^-1 the electrical output is 1.34 MW. If the overall efficiency of the energy conversion process for the 30 turbines is required to be no less than 40%, find the minimum area swept by the blades of each turbine (the density of air is 1.25 kgm^-3).

Explanation / Answer

4(a)

Synchronous generators (alternators) connected in parallel operate at a speed that is directly proportional to the frequency of the AC grid and is given by,

F = (P * N) / 120

Where F = Frequency in hertz

P = the number of poles of the generator rotor

N = the speed of the generator rotor (in RPM)

In the given problem,

Number of poles (P) = 6

Speed of the generator rotor (N) = 800 RPM

Substituting the values, we get

F = (6*800)/120

F = 40 hertz

So, Frequency of the terminal voltage produced by the generator (F) = 40 hertz

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