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A 3 phase 16 pole synchronous generator has a resultant air gap flux of 0.06 Wb per pole. The flux is distributed sinusoidal over the pole. The stator has 2 slots per pole per phase and 4 conductors per slot are accommodated in two layers. The coil span is 150 electrical degrees. Calculate the phase and line induced voltages when the machine runs at 375 rpm.?
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Most Upvoted Answer
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.
Community Answer
A 3 phase 16 pole synchronous generator has a resultant air gap flux o...
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it depends on the length of the conductor the capacitance of the line is proportional to the length of the transmission line their effect is negligible on the performance of short having a length less than 80 km and low voltage transmission accidents of the transmission line along with the conductances forms the shunted mittens the conductance and the transmission line is because of the leakage over the surface of the conductor considered a line consisting of two conductors and be each of radius are the distance between the conductors being Des shown in the diagram below minus the potential difference between the conductors and via's work QA charge on conductor QB charge on conductor vvab pencil difference between conductor and the Epsilon minus absolute primitivity QA plus QV = 0 so that QA equals QB - equals DBA equals data equals DB equals our substituting these values and voltage equation we get the capacitance between the conductors is cab is referred to as lying to line capacitance if the two conductors are in VR oppositely charge then the potential difference between them is zero then the potential of each conductor is given by one half bath the capacitance between each conductor and point of zero potential and is capacitive CN is called the capacitance to neut or capacitance to ground capacitance cab is the combination of two equal capacity and VN series thus capacitance to neutral is twice the capacitance between the conductors IE CN equals to Cave the absolute primitivity Epsilon is given by Epsilon equals epsilono Epsilon are where epsilano is the permittivity of the free space and Epsilon or is the relative primitivity of the medium prayer capacitance reactants between one conductor and neutral capacitance of the symmetrical three phase line let a balanced system of voltage be applied to a symmetrical three-phase line shown below the phasor diagram of the three phase line with equilateral spacing is shown below take the voltage of conductor to neutral as a reference phaser the potential difference between conductor and we can be written the similarly potential difference between conductors and sea is on adding equations one and two we get also combining equation three and four from equation 6 and 7 the line to neutral capacitance the capacitance of symmetrical three phase line is same as that of the two wire line Related: Capacitance of Transmission Lines?

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A 3 phase 16 pole synchronous generator has a resultant air gap flux of 0.06 Wb per pole. The flux is distributed sinusoidal over the pole. The stator has 2 slots per pole per phase and 4 conductors per slot are accommodated in two layers. The coil span is 150 electrical degrees. Calculate the phase and line induced voltages when the machine runs at 375 rpm.?
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A 3 phase 16 pole synchronous generator has a resultant air gap flux of 0.06 Wb per pole. The flux is distributed sinusoidal over the pole. The stator has 2 slots per pole per phase and 4 conductors per slot are accommodated in two layers. The coil span is 150 electrical degrees. Calculate the phase and line induced voltages when the machine runs at 375 rpm.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 3 phase 16 pole synchronous generator has a resultant air gap flux of 0.06 Wb per pole. The flux is distributed sinusoidal over the pole. The stator has 2 slots per pole per phase and 4 conductors per slot are accommodated in two layers. The coil span is 150 electrical degrees. Calculate the phase and line induced voltages when the machine runs at 375 rpm.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 phase 16 pole synchronous generator has a resultant air gap flux of 0.06 Wb per pole. The flux is distributed sinusoidal over the pole. The stator has 2 slots per pole per phase and 4 conductors per slot are accommodated in two layers. The coil span is 150 electrical degrees. Calculate the phase and line induced voltages when the machine runs at 375 rpm.?.
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