How do you calculate the total power in a three-phase circuit?

Total Power (S) = √3 * Voltage (V) * Current (I) * Power Factor (PF)

Where:

√3 is the square root of 3 (approximately 1.732)

Voltage (V) is the line-to-line voltage in volts

Current (I) is the line current in amperes

Power Factor (PF) is the cosine of the phase angle between voltage and current, representing the ratio of real power to apparent power.

The power factor is typically given as a decimal or percentage, where a value between 0 and 1 indicates a lagging power factor (more reactive power) and a value greater than 1 indicates a leading power factor (more capacitive power).

If you have the individual currents and voltages of each phase (I1, I2, I3, V1, V2, V3), you can calculate the total power using the formula:

Total Power (S) = √3 * (V1 * I1 + V2 * I2 + V3 * I3) * Power Factor (PF)

Keep in mind that the power factor is crucial for determining the actual useful power in the circuit. A lower power factor means that more of the apparent power is used to maintain the magnetic fields in inductive loads, resulting in less actual useful power (real power) available for doing work.