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Q1. A 120V, dc motor has shunt field windings of 500 turns and field ...

Q1. A 120V, dc motor has shunt field windings of 500 turns and field ...

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<strong>Q1.</strong> A <strong>120V</strong>, <strong>dc</strong> <strong>motor</strong> <strong>has</strong> <strong>shunt</strong> <strong>field</strong> <strong>windings</strong> <strong>of</strong> <strong>500</strong> <strong>turns</strong> <strong>and</strong> <strong>field</strong> resistance <strong>of</strong> R F = 100 Ω <strong>and</strong><br />

armature resistance <strong>of</strong> R A = 0.10 Ω. The full load current is 40 A, <strong>and</strong> it produces an armature<br />

reaction <strong>of</strong> 100 A-Turns.<br />

140<br />

120<br />

Magnetization Curve at 2400 rpm<br />

2400 rpm<br />

Armature Voltage (V)<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

0 0.5 1 1.5 2<br />

Field Current (A)<br />

a) Equivalent circuit goes in this box.<br />

(a)(1) Sketch the DC <strong>motor</strong> equivalent circuit in the box above.<br />

Show all components <strong>and</strong> label currents <strong>and</strong> voltages.<br />

(b)(3) What is the full load speed (N FL ) <strong>of</strong> this <strong>motor</strong> in rpm?<br />

(c)(3) What is the full load torque (T) available at the shaft?<br />

(d)(3) What is the <strong>motor</strong> efficiency?<br />

b) N FL = ___________<br />

c) T = ___________<br />

d) % η = ___________


Q2. A permanent magnet DC generator <strong>has</strong> an armature resistance <strong>of</strong> 4.0 ohms <strong>and</strong> operates at<br />

1200 rpm with constant rotational losses <strong>of</strong> 100 W. At no load, a voltage <strong>of</strong> 140V is produced.<br />

(a)(1) Sketch the generator armature circuit. Show all components <strong>and</strong> label currents <strong>and</strong> voltages.<br />

(b)(3) When the machine is operating at an efficiency is 75%, what is the output power produced?<br />

b) P out = _________________<br />

a) Equivalent circuit goes in this box.


Q3. A DC generator is rated at 180 kW, 430 V, 400A <strong>and</strong> 1800 rpm. The armature resistance is<br />

0.04 Ω. The separately excited <strong>field</strong> circuit <strong>has</strong> 1000 <strong>turns</strong> per pole, a resistance <strong>of</strong> 90 Ω <strong>and</strong> is<br />

supplied 450 V. The prime mover <strong>turns</strong> the generator at a constant 1600 rpm. The magnetization<br />

curve (for N = 1800 rpm) is shown below.<br />

(a)(2) Find the no-load terminal voltage .<br />

(b)(3) Find the % voltage regulation assuming a 400A load, <strong>and</strong> no armature reaction?<br />

For parts c <strong>and</strong> d) assume an armature reaction <strong>of</strong> <strong>500</strong> A <strong>turns</strong><br />

(c)(2) Find the terminal voltage for a 400 A load?<br />

(d)(3) At this load, find the <strong>field</strong> current required to boost the terminal voltage to 380 V?<br />

a) V = _____________<br />

b) %VR =__________<br />

c) V = ____________<br />

d) I F = ____________

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