Kilowatts (kW) to Volts (V) Calculator
Calculation Formulas
DC kilowatts to volts calculation
AC single phase kilowatts to volts calculation
AC three phase kilowatts to volts calculation
Where:
- V(V) is the voltage in volts
- VL-L(V) is the line to line voltage in volts (three phase)
- P(kW) is the power in kilowatts
- I(A) is the current in amps
- PF is the power factor (AC circuits only, between 0 and 1)
How to Convert kW to Volts
To convert from kilowatts (kW) to volts (V), you need to know:
- Whether the circuit is DC, single phase AC, or three phase AC
- The current in amps
- For AC circuits, the power factor (between 0 and 1)
Example Calculations
DC example
What is the voltage in volts when the power consumption is 5 kW and the current flow is 20 amps?
V = 1000 × 5kW / 20A = 250V
Single phase AC example
What is the RMS voltage in volts when the power consumption is 5 kW, the power factor is 0.8 and the phase current is 20 amps?
V = 1000 × 5kW / (0.8 × 20A) = 312.5V
Three phase AC example
What is the line to line RMS voltage in volts when the power consumption is 5 kW, the power factor is 0.8 and the phase current is 10 amps?
VL-L = 1000 × 5kW / (√3 × 0.8 × 10A) = 360.84V
kW to Volts Conversion Table
Power (kW) | Current (A) | Voltage (V) | Type | PF |
---|---|---|---|---|
1 kW | 10 A | 100 V | DC | – |
2 kW | 10 A | 200 V | DC | – |
3 kW | 15 A | 200 V | Single AC | 1.0 |
5 kW | 20 A | 312.5 V | Single AC | 0.8 |
10 kW | 20 A | 360.84 V | Three AC | 0.8 |
15 kW | 30 A | 360.84 V | Three AC | 0.8 |
Understanding the Calculation
This calculator determines the voltage required to deliver a specific amount of power (in kilowatts) at a given current (in amps). The calculation differs for:
- DC circuits: Simple division of power by current
- Single phase AC: Accounts for power factor (phase difference between voltage and current)
- Three phase AC: Includes both power factor and the √3 factor for balanced three-phase systems
This tool is particularly useful for electrical system design, troubleshooting, and verifying voltage requirements for equipment.