Convert amps to kilowatts for DC, single-phase AC, and three-phase AC circuits. Calculate electrical power with voltage, power factor, and efficiency inputs.
Electrical power is the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is the watt (W), which equals one joule per second. In electrical systems, power is calculated differently for DC and AC circuits due to the nature of alternating current.
Key Electrical Formulas:
DC Power: P(W) = V(V) × I(A)
AC Power (Single-Phase): P(W) = V(V) × I(A) × PF
AC Power (Three-Phase): P(W) = √3 × V(V) × I(A) × PF
Kilowatts: 1 kW = 1000 W
What is Power Factor? Power factor (PF) is the ratio of real power (kW) to apparent power (kVA) in an AC electrical system. It represents how effectively electrical power is being used.
Range: Power factor ranges from 0 to 1. A higher power factor (closer to 1) indicates more efficient use of electrical power.
Causes of Low Power Factor: Inductive loads like motors, transformers, and fluorescent lighting cause current to lag behind voltage, reducing power factor.
| Region/Country | Residential Voltage | Commercial/Industrial | Frequency |
|---|---|---|---|
| North America | 120V / 240V | 208V / 480V | 60 Hz |
| Europe, UK | 230V | 400V | 50 Hz |
| Australia | 230V | 400V | 50 Hz |
| Japan | 100V | 200V | 50/60 Hz |
| India | 230V | 415V | 50 Hz |
| China | 220V | 380V | 50 Hz |
| Load Type | Typical Power Factor | Notes |
|---|---|---|
| Incandescent Lighting | 1.0 | Purely resistive load |
| Induction Motors (loaded) | 0.85 - 0.90 | Varies with load |
| Induction Motors (unloaded) | 0.15 - 0.30 | Poor PF at light loads |
| Fluorescent Lighting (magnetic) | 0.50 - 0.60 | Without compensation |
| Fluorescent Lighting (electronic) | 0.90 - 0.98 | With power factor correction |
| Computers / Servers | 0.65 - 0.70 | Switching power supplies |
| Arc Welding | 0.35 - 0.60 | Very poor power factor |
| Resistance Heating | 1.0 | Purely resistive |
Calculator Features:
kW (kilowatts) measures real power - the actual power consumed by equipment to perform work.
kVA (kilovolt-amperes) measures apparent power - the product of voltage and current without considering power factor.
The relationship is: kW = kVA × Power Factor. For a power factor of 1.0, kW equals kVA.
| kW | HP | BTU/hr |
|---|---|---|
| 0.75 kW | 1 HP | 2,560 BTU/hr |
| 1.5 kW | 2 HP | 5,120 BTU/hr |
| 3.0 kW | 4 HP | 10,240 BTU/hr |
| 5.6 kW | 7.5 HP | 19,100 BTU/hr |
| 11.2 kW | 15 HP | 38,200 BTU/hr |