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Section 1: Electric Machine Fundamentals 171 Calculate the force exerted by each conductor, 6 in
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long, on the armature of a DC motor when it carries a current of 90 A and lies in a eld the density of which is 52 10 4 Wb per square in
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174 The speed-torque characteristic of an induction
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motor has been empirically determined as follows:
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Speed Torque Speed Torque 1,470 3 900 13 1,440 6 750 11 350 7 1,410 9 0 5 1,300 13 rev/min N-m 1,100 15
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172 In a DC machine, the air-gap ux density is
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4 Wb/m2 The area of the pole face is 2 cm 4 cm Find the ux per pole in the machine
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173 The power rating of a motor can be modi ed to
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account for different ambient temperature, according to the following table:
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Ambient temperature Variation of rated power Ambient temperature Variation of rated power 30 C +8% 45 C 5% 35 C +5% 50 C 125% 40 C 0 55 C 25%
The motor will drive a load requiring a starting torque of 4 N-m and increase linearly with speed to 8 N-m at 1,500 rev/min a Find the steady-state operating point of the motor b Equation 1782 predicts that the motor speed can be regulated in the face of changes in load torque by adjusting the stator voltage Find the change in voltage required to maintain the speed at the operating point of part a if the load torque increases to 10 N-m
A motor with Pe = 10 kW is rated up to 85 C Find the actual power for each of the following conditions: a Ambient temperature is 50 C b Ambient temperature is 25 C
Section 2: Direct-Current Machines 175 A 220-V shunt motor has an armature resistance of
032 and a eld resistance of 110 ohms At no load the armature current is 6 A and the speed is 1,800 rpm
Part III
Electromechanics
Assume that the ux does not vary with load and calculate: a The speed of the motor when the line current is 62 A (assume a 2-volt brush drop) b The speed regulation of the motor
018 If the speed is 500 rev/min when the current is 36 A, what will be the motor speed when the load reduces the line current to 21 A (Assume a 3-volt brush drop and that the ux is proportional to the current)
176 A 120-V, 10-A shunt generator has an armature
resistance of 06 The shunt eld current is 2 A Determine the voltage regulation of the generator
1715 A 220-VDC shunt motor has an armature
resistance of 02 and a rated armature current of 50 A Find a The voltage generated in the armature b The power developed
177 A 50-hp, 550-volt shunt motor has an armature
resistance, including brushes, of 036 ohm When operating at rated load and speed, the armature takes 75 amp What resistance should be inserted in the armature circuit to obtain a 20 percent speed reduction when the motor is developing 70 percent of rated torque Assume that there is no ux change
1716 A 550-volt series motor takes 112 A and operates
at 820 rev/min when the load is 75 hp If the effective armature-circuit resistance is 015 , calculate the horsepower output of the motor when the current drops to 84 A, assuming that the ux is reduced by 15 percent
178 A 20-kW, 230-V separately excited generator has
an armature resistance of 02 and a load current of 100 A Find: a The generated voltage when the terminal voltage is 230 V b The output power
1717 A 200-VDC shunt motor has the following
parameters: Ra = 01 Rf = 100
179 A 10-kW, 120-VDC series generator has an
armature resistance of 01 and a series eld resistance of 005 Assuming that it is delivering rated current at rated speed, nd (a) the armature current and (b) the generated voltage
When running at 1,100 rev/min with no load connected to the shaft, the motor draws 4 A from the line Find E and the rotational losses at 1,100 rev/min (assuming that the stray-load losses can be neglected)
1718 A 230-VDC shunt motor has the following
parameters: Ra = 05 Rf = 75 Prot = 500 W (at 1,120 rev/min) When loaded, the motor draws 46 A from the line Find a The speed, Pdev , and Tsh b If Lf = 25 H, La = 0008 H, and the terminal voltage has a 115-V change, nd ia (t) and m (t)
1710 The armature resistance of a 30-kW, 440-V shunt
generator is 01 Its shunt eld resistance is 200 Find a The power developed at rated load b The load, eld, and armature currents c The electrical power loss armature and eld resistances of 2 and 333 The generator is operating at the rated speed of 3,600 rev/min Find the no-load voltage of the generator and terminal voltage at half load
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