t is desired to assemble an overhead crane powered by a 20 HP motor (n= 0.84 / cos = 0.86). The transformer is operating at approximately 98% of its nominal power, so it would not be able to feed this additional motor. a) Calculate the total reactive power and the p.f. approximate. b) Calculate the power of the capacitors to be installed in order to reduce the reactive power in such a way that the new motor can be installed without replacing the transformer operating equal to 98% of its capacity.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter4: Symbols
Section: Chapter Questions
Problem 7SQ: The symbol shown is a(n) a. iron core transformer. b. auto transformer. c. current transformer. d....
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A coarse crushing plant is powered by a 250 KVA 13.2/0.4 KV three-phase transformer. The plant has the machine chart that is detailed:

 

Mech power

(HP)

Mech power

(kW)

n

Or power yield/perf.

Apparent Power

(kW)

cos

 

Apparent Power

(kVA)

compressor

25

18.75

0.84

22.32

0.88

25.37

crusher

150

112.5

0.89

126.40

0.92

137.40

sieve

45

33.75

0.88

38.35

0.89

43.09

conveyer belt

40

30

0.87

34.48

0.87

39.64

Totals

260

195

--

221.56

--

245.49

It is desired to assemble an overhead crane powered by a 20 HP motor (n= 0.84 / cos = 0.86). The transformer is operating at approximately 98% of its nominal power, so it would not be able to feed this additional motor.
a) Calculate the total reactive power and the p.f. approximate.
b) Calculate the power of the capacitors to be installed in order to reduce the reactive power in such a way that the new motor can be installed without replacing the transformer operating equal to 98% of its capacity.

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