Transformer Wire Size Calculator

Formula

The formula to calculate transformer wire size is:

\[ \text{WS} = \sqrt{\frac{P}{1.732 \times V \times PF \times \eta}} \]

Where:

\(\text{WS}\) is the wire size in square millimeters
\(P\) is the power in kilowatts
\(V\) is the voltage in volts
\(PF\) is the power factor (ranges between 0 and 1)
\(\eta\) is the efficiency of the transformer (ranges between 0 and 1)

What is Transformer Wire Size?

A transformer wire size refers to the diameter of the wire used in the construction of a transformer. The size of the wire directly affects the transformer’s efficiency and performance. Larger wire sizes can carry more electrical current, reducing power losses and improving efficiency.

Example Calculation 1

Let's assume the following values:

Power (P) = 50 kW
Voltage (V) = 400 V
Power Factor (PF) = 0.9
Efficiency (η) = 0.95

Using the formula:

\[ \text{WS} = \sqrt{\frac{50}{1.732 \times 400 \times 0.9 \times 0.95}} \approx \sqrt{\frac{50}{589.32}} \approx \sqrt{0.0848} \approx 0.2905 \text{ mm²} \]

The Wire Size is approximately 0.2905 mm².

Example Calculation 2

Let's assume the following values:

Power (P) = 100 kW
Voltage (V) = 480 V
Power Factor (PF) = 0.8
Efficiency (η) = 0.9

Using the formula:

\[ \text{WS} = \sqrt{\frac{100}{1.732 \times 480 \times 0.8 \times 0.9}} \approx \sqrt{\frac{100}{597.79}} \approx \sqrt{0.1673} \approx 0.4090 \text{ mm²} \]

The Wire Size is approximately 0.4090 mm².