1. A 10 kVA, single-phase, 2400-V:120-V, 60 Hz transformer has an equivalent impedance referred to LV side of 0.01 + j0.09 Q. This transformer has a core loss of 100 W at rated voltage. When rated current is applied to the 2400-V winding, the exciting current in that winding is found to be 0.2 A. a. Find the full-load regulation of this transformer at a power factor of 0.8 lagging. b. Find the efficiency of this transformer at full load, 0.8 power factor lagging. c. If standard open-circuit and tests were performed on this transformer, what would be the measured values of these tests?

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1. A 10 kVA, single-phase, 2400-V:120-V, 60 Hz transformer has an equivalent impedance referred to
LV side of 0.01 + j0.09 Q. This transformer has a core loss of 100 W at rated voltage. When rated
current is applied to the 2400-V winding, the exciting current in that winding is found to be 0.2 A.
a. Find the full-load regulation of this transformer at a power factor of 0.8 lagging.
b. Find the efficiency of this transformer at full load, 0.8 power factor lagging.
c. If standard open-circuit and tests were performed on this transformer, what would be the measured
values of these tests?
2. The following data were obtained on a 2.5 MVA, 50-Hz, 19.1-kV:3.81-kV single-phase transformer
tested at 50 Hz:
Voltage (V) Current (A) Power (kW)
LV winding with HV terminals open-circuited:
3810
9.86
8.14
HV winding with LV terminals short-circuited:
920
141
10.3
a. Calculate the cantilever equivalent-circuit parameters as referred to the transformer high-voltage
winding.
b. Calculate the cantilever equivalent-circuit parameters as referred to the transformer low-voltage
winding.
c. With the transformer carrying rated load and rated voltage at its low-voltage terminal, calculate the
power dissipated in the transformer.
d. Repeat part a and b in per-unit. Compare and comment on your result.
3. A three-phase Y-Y transformer is rated at 25 MVA, 13.8-kV:69-kV and has a single-phase
equivalent series impedance 62 + j388 m2 referred to the low-voltage winding.
a. A three-phase short circuit is applied to the low-voltage winding. Calculate the voltage applied to the
high-voltage winding which will result in rated current into the short circuit.
b. The short circuit is removed and a three-phase load is connected to the low-voltage winding. With
rated voltage applied to the high-voltage winding, the input power to the transformer is observed to
be 18 MW at 0.75 power-factor lagging. Calculate the line-line terminal voltage at the load.
4. A 45-kVA, 120-V:280-V single-phase transformer is to be connected as a 280-V:400-V
autotransformer. Determine the voltage ratings of the high- and low-voltage windings for this
connection and the kVA rating of the autotransformer connection.
Transcribed Image Text:1. A 10 kVA, single-phase, 2400-V:120-V, 60 Hz transformer has an equivalent impedance referred to LV side of 0.01 + j0.09 Q. This transformer has a core loss of 100 W at rated voltage. When rated current is applied to the 2400-V winding, the exciting current in that winding is found to be 0.2 A. a. Find the full-load regulation of this transformer at a power factor of 0.8 lagging. b. Find the efficiency of this transformer at full load, 0.8 power factor lagging. c. If standard open-circuit and tests were performed on this transformer, what would be the measured values of these tests? 2. The following data were obtained on a 2.5 MVA, 50-Hz, 19.1-kV:3.81-kV single-phase transformer tested at 50 Hz: Voltage (V) Current (A) Power (kW) LV winding with HV terminals open-circuited: 3810 9.86 8.14 HV winding with LV terminals short-circuited: 920 141 10.3 a. Calculate the cantilever equivalent-circuit parameters as referred to the transformer high-voltage winding. b. Calculate the cantilever equivalent-circuit parameters as referred to the transformer low-voltage winding. c. With the transformer carrying rated load and rated voltage at its low-voltage terminal, calculate the power dissipated in the transformer. d. Repeat part a and b in per-unit. Compare and comment on your result. 3. A three-phase Y-Y transformer is rated at 25 MVA, 13.8-kV:69-kV and has a single-phase equivalent series impedance 62 + j388 m2 referred to the low-voltage winding. a. A three-phase short circuit is applied to the low-voltage winding. Calculate the voltage applied to the high-voltage winding which will result in rated current into the short circuit. b. The short circuit is removed and a three-phase load is connected to the low-voltage winding. With rated voltage applied to the high-voltage winding, the input power to the transformer is observed to be 18 MW at 0.75 power-factor lagging. Calculate the line-line terminal voltage at the load. 4. A 45-kVA, 120-V:280-V single-phase transformer is to be connected as a 280-V:400-V autotransformer. Determine the voltage ratings of the high- and low-voltage windings for this connection and the kVA rating of the autotransformer connection.
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