Three-phase power is a type of electrical power distribution system that uses three alternating currents (phases) that are offset in time to each other by one-third of the total cycle. It is commonly used in industrial and commercial applications.

- Real Power Calculation √3
- Reactive Power (Q) Calculation √3
- Apparent Power Calculation √3
- Power Factor Calculation √3
- Voltage Drop Calculation √3

- Three-phase power systems provide a more balanced and efficient distribution of electrical power compared to single-phase systems.
- Each phase in a three-phase system carries a sinusoidal waveform, and the three phases are typically denoted as phase A, phase B, and phase C.
- The voltage and current waveforms of the three phases are 120 degrees out of phase with each other.
- The combination of the three phases results in a smoother and more constant power delivery, reducing voltage drops and improving overall power quality.
- Three-phase power allows for higher power transmission with less current compared to single-phase systems, making it suitable for high-power applications.
- Three-phase power is widely used in industrial machinery, motors, large-scale electrical systems, and power distribution grids.

Real power is the actual power transferred to a load and is measured in watts (W).

P = √3 * V_{L-L} * I_{L} * PF

Real power represents the useful power consumed by resistive and reactive loads.

**P**is the power in watts (W).**√3**is the square root of 3, approximately equal to 1.732.**VL-L**is the line-to-line voltage in volts (V).**IL**is the line current in amperes (A).**PF**is the power factor, which is a dimensionless quantity.

Reactive power is the power used by inductive or capacitive loads and is measured in volt-amperes reactive (VAR).

Q = √3 * V_{L-L} * I_{L} * sin(θ)

Reactive power is required for the magnetizing of equipment such as motors and transformers.

**Q**is the reactive power in volt-amperes reactive (VAR).**√3**is the square root of 3, approximately equal to 1.732.**VL-L**is the line-to-line voltage in volts (V).**IL**is the line current in amperes (A).**θ**is the phase angle or power factor angle, measured in radians (rad).

Apparent power is the vector sum of real power and reactive power and is measured in volt-amperes (VA).

S = √3 * V_{L-L} * I_{L}

Apparent power represents the total power supplied or consumed by a three-phase system.

**S**is the apparent power in volt-amperes (VA).**√3**is the square root of 3, approximately equal to 1.732.**VL-L**is the line-to-line voltage in volts (V).**IL**is the line current in amperes (A).

Power factor is the ratio of real power to apparent power and is a measure of how effectively electrical power is utilized.To calculate the power factor, divide the active power by the product of the square root of 3, line-to-line voltage, and line current. A power factor of 1 (or close to 1) indicates a highly efficient system where the active power is fully utilized. A power factor below 1 indicates reactive power consumption, which can lead to inefficiencies in the system.

PF = P / (√3 * VL-L * IL)

**PF**is the power factor (a value between 0 and 1)**P**is the active power in watts (W)**√3**is the square root of 3, approximately equal to 1.732**VL-L**is the line-to-line voltage in volts (V)**IL**is the line current in amperes (A)

Voltage Drop = (2 * Current * Length * 0.3048 * 12.9) / (Conductor Size * Power Factor^1.5)

**Current:**The current in amperes flowing through the wire.**Length:**The length of the wire in feet.**Conductor Size:**The size of the conductor (wire) in AWG (American Wire Gauge).**Power Factor:**The power factor of the electrical system.