The relationship between kilovolt-amperes (kVA) and watts (W) depends on the power factor (PF) of the electrical system. The formula to convert from kVA to watts is:
\[
\text{Watts (W)} = \text{kVA} \times 1000 \times \text{Power Factor (PF)}
\]
Where:
- **kVA** is the apparent power in kilovolt-amperes.
- **Power Factor (PF)** is a number between 0 and 1, representing the efficiency of the electrical system in converting apparent power into actual usable power. A power factor of 1 (or 100%) means all the power is being used effectively, while lower values indicate some energy is being lost due to inefficiencies, like in resistive, inductive, or capacitive loads.
### In Ideal Conditions
If the power factor (PF) is **1** (which represents a purely resistive load, where all power is converted to usable work), then:
\[
1 \, \text{kVA} = 1000 \, \text{watts}
\]
So, **1 kVA = 1000 watts**.
### For Non-Ideal Loads
For systems where the power factor is less than 1 (for example, motors or other inductive loads), you need to multiply by the power factor to get the actual power in watts.
For example:
- If the power factor is 0.8, then:
\[
1 \, \text{kVA} = 1000 \times 0.8 = 800 \, \text{watts}
\]
- If the power factor is 0.9, then:
\[
1 \, \text{kVA} = 1000 \times 0.9 = 900 \, \text{watts}
\]
In general, the formula allows you to calculate the real power (watts) for any power factor.