Solve the following problems 1. A 4-pole, D.C. generator has a wave-wound armature with 792 conductors. The flux per pole is 0.0121 Wb. Determine the speed at which it should be run to generate 240 V on no-load. [751.3 r.p.m.]

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EE21A-assignment1.pdf
Class: EE21A
DC GENERATORS
UNIVERSITY OF SOMALIA (UNISO)
Course: Electrical machines
Assignment 1
Date: 30/03 2023
Solve the following problems
1. A 4-pole, D.C. generator has a wave-wound armature with 792 conductors. The flux per pole is 0.0121
Wb. Determine the speed at which it should be run to generate 240 V on no-load. [751.3 r.p.m.]
...| ...| 77% i
2. A 20 kW compound generator works on full-load with a terminal voltage of 230 V. The armature, series
and shunt field resistances are 0.1, 0.05 and 115 2 respectively. Calculate the generated e.m.f. when the
generator is connected short-shunt. [243.25 V]
3. A d.c. generator generates an e.m.f. of 520 V. It has 2,000 armature conductors, flux per pole of 0.013
Wb, speed of 1200 r.p.m. and the armature winding has four parallel paths. Find the number of poles. [4]
DC MOTORS
4. When driven at 1000 r.p.m. with a flux per pole of 0.02 Wb, a D.C. generator has an e.m.f. of 200 V. If
the speed is increased to 1100 r.p.m. and at the same time the flux per pole is reduced to 0.019 Wb per pole,
what is then the induced e.m.f.?
[209 V]
5. Calculate the flux per pole required on full-load for a 50 kW, 400 V, 8-pole, 600 r.p.m. D.C. shunt
generator with 256 conductors arranged in a lap-connected winding.
The armature winding resistances is 0.12, the shunt field resistance is 200 £2 and there is a brush contact
voltage drop of 1 V at each brush on full load.
[0.162 Wb]
6. A short-shunt compound d.c. Generator supplies a current of 100 A at a voltage of 220 V. If the resistance
of the shunt field is 50 £2, of the series field 0.025 02, of the armature 0.05 £2, the total brush drop is 2 V and
the iron and friction losses amount to 1 kW, find
(a) the generated e.m.f. (b) the copper losses (c) the output power of the prime-mover driving the generator
and (d) the generator efficiency.
[(a) 229.7 V (b) 1.995 kW (c) 24.99 kW (d) 88%]
UNIVERSITY OF SOMALIA (UNISO)
Solve the following problems
1. d.c. motor connected to a 460-V supply takes an armature current of 120 A on full load. If the
armature circuit has a resistance of 0.25 £2, calculate the value of the back e.m.f. at this load.
[430 V]
2. A 4-pole d.c. motor takes an armature current of 150 A at 440 V. If its armature circuit has a
resistance of 0.15 02, what will be the value of back e.m.f. at this load? [417.5V]
3. Calculate the torque in newton-metre developed by a 440-V d.c. motor having an armature resistance
of 0.25 £2 and running at 750 r.p.m. when taking a current of 60 A.
[325 N-m]
4. A 4-pole, lap-connected d.c. motor has 576 conductors and draws an armature current of 10 A. If the
flux per pole is 0.02 Wb, calculate the armature torque developed. [18.3 N-m]
5. A 4-pole 250-V, D.C. series motor has a wave-wound armature with 496 conductors.
Calculate (a) The gross torque (b) the speed (c) the output torque and
(d) The efficiency, if the motor current is 50 A
8
The value of flux per pole under these conditions is 22 mWb and the corresponding iron, friction an
windage losses total 810 W. Armature resistance - 0.19 22, field resistance = 0.14 2.
[(a) 173.5 N-m (b) 642 r.p.m. (c) 161.4 N-m (d) 86.9%]
6. AD.C. serie
or on full-load takes 50 A from 230Vdc mains. The total resistance of the motor 0.22 2. If the
iron and friction losses together amount to 5% of the input, calculate the power delivered by the motor shaft. Total
Transcribed Image Text:12:57 € ← EE21A-assignment1.pdf Class: EE21A DC GENERATORS UNIVERSITY OF SOMALIA (UNISO) Course: Electrical machines Assignment 1 Date: 30/03 2023 Solve the following problems 1. A 4-pole, D.C. generator has a wave-wound armature with 792 conductors. The flux per pole is 0.0121 Wb. Determine the speed at which it should be run to generate 240 V on no-load. [751.3 r.p.m.] ...| ...| 77% i 2. A 20 kW compound generator works on full-load with a terminal voltage of 230 V. The armature, series and shunt field resistances are 0.1, 0.05 and 115 2 respectively. Calculate the generated e.m.f. when the generator is connected short-shunt. [243.25 V] 3. A d.c. generator generates an e.m.f. of 520 V. It has 2,000 armature conductors, flux per pole of 0.013 Wb, speed of 1200 r.p.m. and the armature winding has four parallel paths. Find the number of poles. [4] DC MOTORS 4. When driven at 1000 r.p.m. with a flux per pole of 0.02 Wb, a D.C. generator has an e.m.f. of 200 V. If the speed is increased to 1100 r.p.m. and at the same time the flux per pole is reduced to 0.019 Wb per pole, what is then the induced e.m.f.? [209 V] 5. Calculate the flux per pole required on full-load for a 50 kW, 400 V, 8-pole, 600 r.p.m. D.C. shunt generator with 256 conductors arranged in a lap-connected winding. The armature winding resistances is 0.12, the shunt field resistance is 200 £2 and there is a brush contact voltage drop of 1 V at each brush on full load. [0.162 Wb] 6. A short-shunt compound d.c. Generator supplies a current of 100 A at a voltage of 220 V. If the resistance of the shunt field is 50 £2, of the series field 0.025 02, of the armature 0.05 £2, the total brush drop is 2 V and the iron and friction losses amount to 1 kW, find (a) the generated e.m.f. (b) the copper losses (c) the output power of the prime-mover driving the generator and (d) the generator efficiency. [(a) 229.7 V (b) 1.995 kW (c) 24.99 kW (d) 88%] UNIVERSITY OF SOMALIA (UNISO) Solve the following problems 1. d.c. motor connected to a 460-V supply takes an armature current of 120 A on full load. If the armature circuit has a resistance of 0.25 £2, calculate the value of the back e.m.f. at this load. [430 V] 2. A 4-pole d.c. motor takes an armature current of 150 A at 440 V. If its armature circuit has a resistance of 0.15 02, what will be the value of back e.m.f. at this load? [417.5V] 3. Calculate the torque in newton-metre developed by a 440-V d.c. motor having an armature resistance of 0.25 £2 and running at 750 r.p.m. when taking a current of 60 A. [325 N-m] 4. A 4-pole, lap-connected d.c. motor has 576 conductors and draws an armature current of 10 A. If the flux per pole is 0.02 Wb, calculate the armature torque developed. [18.3 N-m] 5. A 4-pole 250-V, D.C. series motor has a wave-wound armature with 496 conductors. Calculate (a) The gross torque (b) the speed (c) the output torque and (d) The efficiency, if the motor current is 50 A 8 The value of flux per pole under these conditions is 22 mWb and the corresponding iron, friction an windage losses total 810 W. Armature resistance - 0.19 22, field resistance = 0.14 2. [(a) 173.5 N-m (b) 642 r.p.m. (c) 161.4 N-m (d) 86.9%] 6. AD.C. serie or on full-load takes 50 A from 230Vdc mains. The total resistance of the motor 0.22 2. If the iron and friction losses together amount to 5% of the input, calculate the power delivered by the motor shaft. Total
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