Transformer Sizing Formula:
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The transformer sizing formula calculates the required kVA rating for a utility transformer based on current (I) in amperes and voltage (V) in volts. The formula incorporates the square root of three (1.732) for three-phase systems.
The calculator uses the transformer sizing formula:
Where:
Explanation: This formula calculates the apparent power in kilovolt-amperes required for a three-phase transformer based on the electrical current and voltage.
Details: Proper transformer sizing is crucial for efficient power distribution, preventing overload conditions, ensuring system reliability, and optimizing energy efficiency in electrical systems.
Tips: Enter current in amperes and voltage in volts. Both values must be positive numbers. The calculator automatically applies the three-phase conversion factor.
Q1: Why is 1.732 used in the formula?
A: 1.732 (√3) is used because it's the mathematical constant that relates phase voltage to line voltage in three-phase systems.
Q2: Can this calculator be used for single-phase systems?
A: No, this formula is specifically for three-phase systems. For single-phase systems, use kVA = (I × V) / 1000.
Q3: What are typical kVA ratings for utility transformers?
A: Utility transformers typically range from 15 kVA to over 10,000 kVA, depending on the application and power requirements.
Q4: Why is proper transformer sizing important?
A: Proper sizing ensures efficient operation, prevents overheating, reduces energy losses, and extends transformer lifespan.
Q5: Should derating factors be considered?
A: Yes, in practical applications, derating factors for ambient temperature, altitude, and harmonic content should be considered for accurate sizing.