Question 1
Open-circuit and short-circuit tests on
a 45-KVA, 2400/240-V,
50 Hz transformer gave the following results:
Open-circuit test (with measurements done on the LV
side): 240 V, 2.8 A, 135 W
Short-circuit test (with measurements done on the HV
side): 45 V, 18.7500 A, 600 W
Record these values as you might need them in your subsequent
calculations.
a)
Determine the parameters of the approximate equivalent circuit of
the transformer referred to the HV side from the given test
results.
i. Enter Rc (in
kOhms): (correct to 4 decimal places)
ii. Enter Xm (in
kOhms): (correct to 4 decimal places)
iii. Enter Re1 (in
Ohms): (correct to 4 decimal places)
iv. Enter Xe1 (in
Ohms): (correct to 4 decimal places)
Record these values as you might need them in your subsequent
calculations.
b)
Using the approximate equivalent circuit of the transformer
referred to the HV side, determine the voltage regulation VR of the
transformer operating at full load with the rated output
voltage, 0.8 power factor lagging.
Enter VR (in %): (correct to 4 decimal
places)
Please scroll to the bottom of page for END of question.
c)
Using the test results only (i.e., not using the approximate
equivalent circuit of the transformer), determine the efficiency η
of the transformer operating at 85% of full
load with the rated output
voltage, 0.8 power factor lagging.
Enter η (in %): (correct to 4 decimal
places)
d)
Using the test results only, determine the KVA load at maximum
efficiency.
Enter kVAmax (in kVA): (correct to 4 decimal
places)
e)
Using the test results only, determine the maximum efficiency
ηmax of the transformer
at 0.8 power factor lagging.
Enter ηmax (in %): (correct
to 4 decimal places)
• Please answer to 4 decimal places, for example
1.2345
• Do not enter space before, between and after the
numbers