3-Phase Transformer Formula:
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Definition: This calculator determines the required transformer size in kilovolt-amperes (kVA) for a three-phase electrical system.
Purpose: It helps electricians and engineers properly size transformers for electrical installations and power distribution systems.
The calculator uses the formula:
Where:
Explanation: The formula accounts for the three-phase power relationship where apparent power is the product of voltage, current, and the square root of 3.
Details: Correct transformer sizing ensures efficient power distribution, prevents overheating, and maintains system reliability while avoiding unnecessary costs from oversizing.
Tips: Enter the line voltage in volts and line current in amperes. Both values must be positive numbers representing the three-phase system parameters.
Q1: Is this only for three-phase systems?
A: Yes, this specific formula is for three-phase systems. Single-phase systems use a different calculation (kVA = V × I / 1000).
Q2: What's the significance of √3 in the formula?
A: The square root of 3 (≈1.732) accounts for the phase difference in three-phase systems where voltages are 120° apart.
Q3: Should I add a safety factor to the result?
A: Typically, engineers add 20-25% to the calculated kVA to account for future load growth and safety margins.
Q4: How do I determine the line current?
A: Line current can be measured or calculated from the load requirements. For motors, check nameplate ratings.
Q5: What's the difference between kVA and kW?
A: kVA is apparent power (volts × amps), while kW is real power (volts × amps × power factor). Transformers are rated in kVA.