A 3 phase 16 pole synchronous generator has a resultant air gap flux o...
Solution:
Given data:
- Number of poles (p) = 16
- Resultant air gap flux per pole (Φ) = 0.06 Wb
- Number of slots per pole per phase (q) = 2
- Number of conductors per slot (z) = 4
- Coil span (β) = 150 electrical degrees
- Speed of the generator (N) = 375 rpm
Phase voltage (Eph) calculation:
- The phase voltage induced in a synchronous generator is given by the formula, Eph = 4.44 f Φ z q / p
- Where, f is the frequency of the generated voltage, which is given by f = p N / 120
- Substituting the given values, we get, f = (16 x 375) / 120 = 50 Hz
- Substituting the values of f, Φ, z, q, and p, we get,
Eph = 4.44 x 50 x 0.06 x 4 x 2 / 16 = 33.6 V
Line voltage (Eline) calculation:
- The line voltage induced in a synchronous generator is given by the formula, Eline = √3 Eph
- Substituting the value of Eph, we get,
Eline = √3 x 33.6 = 58.28 V
Explanation:
- A synchronous generator is a machine that converts mechanical energy into electrical energy by electromagnetic induction.
- The air gap flux in a synchronous generator is the magnetic flux that passes through the air gap between the rotor and the stator.
- The resultant air gap flux per pole is given by the formula, Φ = (2 / π) Φm, where Φm is the maximum value of the air gap flux.
- The air gap flux is distributed sinusoidal over the pole, which means that the flux density varies sinusoidally along the length of the pole.
- The stator of a synchronous generator has slots, which are used to hold the stator winding.
- The number of slots per pole per phase determines the distribution of the stator winding along the periphery of the stator.
- The number of conductors per slot and the coil span determine the distribution of the stator winding along the axial length of the stator.
- The phase voltage induced in a synchronous generator depends on the frequency of the generated voltage, the air gap flux per pole, the number of conductors per slot, the number of slots per pole per phase, and the number of poles.
- The line voltage induced in a synchronous generator is √3 times the phase voltage. This is because a three-phase generator produces three voltages that are 120 degrees apart, and the line voltage is the voltage between any two phases.
A 3 phase 16 pole synchronous generator has a resultant air gap flux o...
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