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A three-phase transformer, connected in star-delta, is composed of three single-phase transformers, each rated 127 V / 13.2 kV. The line-to-line voltage ratio for the three-phase transformer is:
- a)220 / 13.2 kV
- b)127 / 13.2 kV
- c)127 / 220 kV
- d)220 / 220 kV
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A three-phase transformer, connected in star-delta, is composed of thr...
Concept:
For delta connection:
Line voltage = Phase voltage
Line current = √3 × Phase current
For star connection:
Line voltage = √3 × Phase voltage
Line current = Phase current
Calculation:
Given single phase transformer data 127 V / 13.2 kV
A three-phase transformer connection in star delta using three single-phase transformers is as shown
Primary line voltage VL1 = √3Vph1 = √3 × 127 = 220 V
Secondary line voltage VL2 = Vph2 = 13.2 kV
The line-to-line voltage ratio for the three-phase transformer is 220 / 13.2 kV
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A three-phase transformer, connected in star-delta, is composed of thr...
The Problem:
We have a three-phase transformer connected in star-delta configuration. Each single-phase transformer in the system is rated at 127 V on the low voltage side and 13.2 kV on the high voltage side. We need to determine the line-to-line voltage ratio for the three-phase transformer.
Understanding the Star-Delta Connection:
In a star-delta connection, the primary winding of the transformer is connected in a star (Y) configuration, while the secondary winding is connected in a delta (∆) configuration. This type of connection is commonly used in power transmission systems to step up the voltage from the generator (star side) to the transmission line (delta side).
Line-to-Line Voltage Ratio:
To determine the line-to-line voltage ratio, we need to consider the transformation ratio of each single-phase transformer in the system. In a star-delta configuration, the line-to-line voltage ratio is given by the ratio of the high voltage (delta side) to the low voltage (star side).
Calculation:
The given rating of each single-phase transformer is 127 V / 13.2 kV. This means that the low voltage side has a rating of 127 V, while the high voltage side has a rating of 13.2 kV.
Since the low voltage side is connected in a star configuration, the line voltage is equal to the phase voltage. Therefore, the line voltage on the low voltage side is 127 V.
On the high voltage side, the line voltage is equal to the square root of 3 times the phase voltage. So, the line voltage on the high voltage side is calculated as follows:
Line Voltage (delta side) = √3 x Phase Voltage
Line Voltage (delta side) = √3 x 13.2 kV
Line Voltage (delta side) = 22.8 kV
Therefore, the line-to-line voltage ratio for the three-phase transformer is:
Line-to-Line Voltage Ratio = Line Voltage (delta side) / Line Voltage (star side)
Line-to-Line Voltage Ratio = 22.8 kV / 127 V
Line-to-Line Voltage Ratio = 220 / 13.2 kV
The Correct Answer:
The correct answer is option 'A': 220 / 13.2 kV. This represents the line-to-line voltage ratio for the three-phase transformer connected in star-delta configuration.
We have a three-phase transformer connected in star-delta configuration. Each single-phase transformer in the system is rated at 127 V on the low voltage side and 13.2 kV on the high voltage side. We need to determine the line-to-line voltage ratio for the three-phase transformer.
Understanding the Star-Delta Connection:
In a star-delta connection, the primary winding of the transformer is connected in a star (Y) configuration, while the secondary winding is connected in a delta (∆) configuration. This type of connection is commonly used in power transmission systems to step up the voltage from the generator (star side) to the transmission line (delta side).
Line-to-Line Voltage Ratio:
To determine the line-to-line voltage ratio, we need to consider the transformation ratio of each single-phase transformer in the system. In a star-delta configuration, the line-to-line voltage ratio is given by the ratio of the high voltage (delta side) to the low voltage (star side).
Calculation:
The given rating of each single-phase transformer is 127 V / 13.2 kV. This means that the low voltage side has a rating of 127 V, while the high voltage side has a rating of 13.2 kV.
Since the low voltage side is connected in a star configuration, the line voltage is equal to the phase voltage. Therefore, the line voltage on the low voltage side is 127 V.
On the high voltage side, the line voltage is equal to the square root of 3 times the phase voltage. So, the line voltage on the high voltage side is calculated as follows:
Line Voltage (delta side) = √3 x Phase Voltage
Line Voltage (delta side) = √3 x 13.2 kV
Line Voltage (delta side) = 22.8 kV
Therefore, the line-to-line voltage ratio for the three-phase transformer is:
Line-to-Line Voltage Ratio = Line Voltage (delta side) / Line Voltage (star side)
Line-to-Line Voltage Ratio = 22.8 kV / 127 V
Line-to-Line Voltage Ratio = 220 / 13.2 kV
The Correct Answer:
The correct answer is option 'A': 220 / 13.2 kV. This represents the line-to-line voltage ratio for the three-phase transformer connected in star-delta configuration.
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A three-phase transformer, connected in star-delta, is composed of three single-phase transformers, each rated 127 V / 13.2 kV. The line-to-line voltage ratio for the three-phase transformer is:a)220 / 13.2 kVb)127 / 13.2 kVc)127 / 220 kVd)220 / 220 kVCorrect answer is option 'A'. Can you explain this answer?
Question Description
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