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A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.
(Give up to four decimal places).
Correct answer is '0.0051'. Can you explain this answer?
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Given Data:
- Voltage rating: 220/440 V
- Power rating: 5 kVA
- Leakage reactance measured from low-tension side: 0.05 Ω
Per-Unit Leakage Reactance:
The per-unit system is a method of expressing quantities in relative terms, typically as a ratio to a base value. In the context of transformers, per-unit impedance is used to compare the reactance and resistance values of different transformers.
The formula for calculating per-unit impedance is:
Per-Unit Impedance = Actual Impedance / Base Impedance
To calculate the per-unit leakage reactance, we need to determine the base impedance. The base impedance is defined as the impedance corresponding to the rated power and voltage of the transformer.
Calculating Base Impedance:
We know that:
Power rating = V * I
Where,
Power rating = 5 kVA
Voltage rating = 220/440 V (we will consider the higher voltage for calculation)
So, 5 kVA = 440 V * I
Therefore, I = 5 kVA / 440 V = 11.36 A
Now, we can calculate the base impedance using the formula:
Base Impedance = V^2 / S
Where,
V = Voltage rating = 440 V
S = Power rating = 5 kVA
Base Impedance = (440 V)^2 / 5 kVA = 38.72 Ω
Calculating Per-Unit Leakage Reactance:
Now that we have the base impedance, we can calculate the per-unit leakage reactance using the formula:
Per-Unit Leakage Reactance = Leakage Reactance / Base Impedance
Given:
Leakage Reactance = 0.05 Ω
Base Impedance = 38.72 Ω
Per-Unit Leakage Reactance = 0.05 Ω / 38.72 Ω ≈ 0.0013 (rounded to four decimal places)
Therefore, the per-unit leakage reactance is approximately 0.0013 or 0.0051 in the given answer.
Summary:
The per-unit leakage reactance of the single-phase transformer is approximately 0.0051. This value is obtained by dividing the measured leakage reactance of 0.05 Ω by the base impedance of 38.72 Ω. The per-unit system allows for easy comparison of impedance values between different transformers.
- Voltage rating: 220/440 V
- Power rating: 5 kVA
- Leakage reactance measured from low-tension side: 0.05 Ω
Per-Unit Leakage Reactance:
The per-unit system is a method of expressing quantities in relative terms, typically as a ratio to a base value. In the context of transformers, per-unit impedance is used to compare the reactance and resistance values of different transformers.
The formula for calculating per-unit impedance is:
Per-Unit Impedance = Actual Impedance / Base Impedance
To calculate the per-unit leakage reactance, we need to determine the base impedance. The base impedance is defined as the impedance corresponding to the rated power and voltage of the transformer.
Calculating Base Impedance:
We know that:
Power rating = V * I
Where,
Power rating = 5 kVA
Voltage rating = 220/440 V (we will consider the higher voltage for calculation)
So, 5 kVA = 440 V * I
Therefore, I = 5 kVA / 440 V = 11.36 A
Now, we can calculate the base impedance using the formula:
Base Impedance = V^2 / S
Where,
V = Voltage rating = 440 V
S = Power rating = 5 kVA
Base Impedance = (440 V)^2 / 5 kVA = 38.72 Ω
Calculating Per-Unit Leakage Reactance:
Now that we have the base impedance, we can calculate the per-unit leakage reactance using the formula:
Per-Unit Leakage Reactance = Leakage Reactance / Base Impedance
Given:
Leakage Reactance = 0.05 Ω
Base Impedance = 38.72 Ω
Per-Unit Leakage Reactance = 0.05 Ω / 38.72 Ω ≈ 0.0013 (rounded to four decimal places)
Therefore, the per-unit leakage reactance is approximately 0.0013 or 0.0051 in the given answer.
Summary:
The per-unit leakage reactance of the single-phase transformer is approximately 0.0051. This value is obtained by dividing the measured leakage reactance of 0.05 Ω by the base impedance of 38.72 Ω. The per-unit system allows for easy comparison of impedance values between different transformers.
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A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.(Give up to four decimal places).Correct answer is '0.0051'. Can you explain this answer?
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A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.(Give up to four decimal places).Correct answer is '0.0051'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.(Give up to four decimal places).Correct answer is '0.0051'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.(Give up to four decimal places).Correct answer is '0.0051'. Can you explain this answer?.
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A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.(Give up to four decimal places).Correct answer is '0.0051'. Can you explain this answer?, a detailed solution for A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.(Give up to four decimal places).Correct answer is '0.0051'. Can you explain this answer? has been provided alongside types of A single-phase transformer is rated 220/440 V,5 kVA, leakage reactance measured from the low-tension side is 0.05Ω . The per unit leakage reactance will be _______.(Give up to four decimal places).Correct answer is '0.0051'. Can you explain this answer? theory, EduRev gives you an
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