Thursday 21 July 2016

SPEED ELECTRIC MOTOR

The speed of an a.c motor depends on the mains frequency and number of poles of the stators winding Redesign Speed in Bahasa
n =
2  .  f  .  60
. r/min
p

Where n = speed
             F = frequency
             P = number of poles
The rule of thumb for 50 Hz mains frequency is that the speed in revolutions per minute ( r/min ) is 6000 divided by number of poles. This is synchronous speed ; it can never be reached by an inductions motor, squirrelcage or slip – ring motor. At o load, however, the speed is practically equal to the synchronous speed ; at rated output it is slightly lower.
The following equation s used to calculated the slip :
s  =
n₁  -  n
. 100 %
n₁


Where s = slip in %
            n₁  = synchronous speed, r/min
            = asynchronous speed, r/min
the slip is proportional to the power taken from the motor.

Example
4 – pole motor, 4 kW, 380 V, 50 Hz, 1425 r/min
      At 4 kW ; s  =
1500  -  1425
. 100 %
1500
            s = 5 %
corresponding to 1500 – 1425 = 75 %

    At 3 kW : s  =
1500  -  1425
. 100 %

1500


     s =
3
.
1500 - 1425
r/min
.
100
3.80%
4
1500

Corresponding to  :
3
.
1500 - 1425
r/min
=
56
r/min
4
Therefore n at 3 kW will be 1500 – 56 = 1444 r/min
This slip is inversely proportional to the square of the voltage

Example
4 – pole motor, 4 kW, 380 V, 50 Hz, 1425 r/min. Supply Voltage 346 V, 50 Hz
At 346 V
s =
(
380
)
²
.
1500 - 1425
.
100
=
0.6  %
346
1500


Corresponding to  :
At 346 V
s =
(
380
)
²
.
( 1500 - 1425 )
.
=
90 r/min
346

n will therefore be 1500 – 90 = 1410 r/min

The rules above apply to moderate changes in output voltage. The speeds of the motors when warm and at rated output are subject to a tolerance of ± 20 % of he slip. The normal testing speed for overspeed is 120 % of the rated speed for two minutes.


poles
synchronous speed at
50 Hz
60 Hz
2
3000
3600
4
1500
1800
6
1000
1200
8
750
900
10
600
720
12
500
600
16
375
450
20
300
360
24
250
300
32
18,5
225
48
125
150

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