Motor Calculations part2

Problem-Assume that the de motor shown in Fig. 5 draws a current of 10 amperes from the line with a supply voltage of 100 volts. If the total mechanical loss (friction, windage, etc.) is 90 watts, calculate the

(a) Copper losses in the field.

(b) Armature current.

(c) Copper losses in the armature .

(d) Total loss.

(e) Motor input.

(f) Motor output.

(g) Efficiency.

Fig.-5.-A-dc-motor-circuit_thumb1

Solution-From the foregoing data we obtain:

(a) The copper losses in the field are

Motor-Calculations10_thumb

(b) The armature current is

Motor-Calculations11_thumb

(c) Copper losses in the armature are

Motor-Calculations12_thumb

(d) The total loss is

Motor-Calculations13_thumb

(e) Motor input is

Motor-Calculations14_thumb

(f) Motor output is equal to

Motor-Calculations15_thumb

( g) The efficiency is equal to

 

Motor-Calculations16_thumb

Problem-A 50-hp, 500-volt shunt motor draws a line current of4.5 amperes at no load. The shunt field resistance is 250 ohms and the armature resistance, exclusive of brushes, is 0.3 ohm. The brush drop is 2 volts. The full-load line current is 84 amperes. What is the horsepower output and efficiency?

Solution-From the data supplied, we obtain:

Full-load armature current

Motor-Calculations17_thumb

No-load armature current

Motor-Calculations18_thumb

Stray power loss

Motor-Calculations19_thumb

Brush loss

Motor-Calculations20_thumb

The efficiency of the motor

Motor-Calculations21_thumb5

Motor-Calculations22_thumb

Problem-Calculate the horsepower output, torque, and efficiency of a shunt motor from the following data:

I1 = 19.8 amperes
E1 = 230 volts

Balance reading == 12 lbs. corrected for zero reading Brake arm = 2ft.

Speed = 1100 r/min

Solution-The horsepower output of the motor is:

Motor-Calculations23_thumb1

Problem-A shunt motor with an armature and field resistance of 0.055 and 32 ohms, respectively, is to be tested for its mechanical efficiency by means of a rope brake. When the motor is running at 1400

r/min, the longitudinal pull on the 6-inch-diameter pulley is 57 lbs. Simultaneous readings of the line voltmeter and ammeter are 105 and 35, respectively. Calculate the

(a) Counter emf

(b) Copper losses.

(c) Efficiency.

Solution-From the foregoing data:

Motor-Calculations24_thumb

La = Current of armature
LL = Current of line
Lf = Current of field

(a) The counter emf is

Motor-Calculations25_thumb1

(b) The copper losses are

Motor-Calculations26_thumb3

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