Category
Electrical Power & Current Conversions - kW, HP, Amps, kVA
Free electrical power and current conversion calculators. Convert kW to HP, HP to kW, kW to Amps, kVA to kW, Amp Hours to kWh. Essential tools for motor, transformer, generator, and battery system engineering.
Electrical power and current conversion is essential for motor specification, transformer sizing, generator procurement, and battery system design. Our free calculators cover kW to HP, HP to kW, kW to Amps, kVA to kW, Amp Hours to kWh, and more — with formulas verified against NEMA MG 1, NEC Article 430, IEEE 1459, and IEC 60072 standards.
The most common cross-system challenge: European and Asian motor nameplates are in kW, while North American motors are in HP. A 75 kW motor equals 100.6 HP — knowing this prevents undersized replacement motors, mismatched VFDs, and costly procurement errors. For electrical system design, converting kW to Amps requires voltage, power factor, and phase configuration — our calculators handle single-phase, three-phase, and DC systems with adjustable parameters.
Power factor (PF = kW ÷ kVA) is the single most important metric for industrial electrical efficiency. A facility operating at PF = 0.7 requires 43% more kVA capacity than the same facility at PF = 1.0 — directly impacting utility demand charges, transformer sizing, and generator ratings. Our power factor correction calculator sizes capacitor banks to eliminate utility penalties, typically with <1 year payback.
Common Electrical Power Conversions (Quick Reference)
| From | To | Formula / Value |
|---|---|---|
| kW | HP | kW × 1.34102 |
| HP | kW | HP × 0.7457 |
| kVA | kW (3-phase) | kVA × PF |
| kW | Amps (3-phase 480V, PF=0.85) | kW × 1000 ÷ (480 × 0.85 × 1.732) |
| HP | Amps (3-phase 460V) | See NEC Table 430.250 |
| Amp Hours | kWh | Ah × V ÷ 1000 |
| 3-Phase kW | Amps | kW × 1000 ÷ (V × PF × √3) |
Electrical Power & Current Conversions - kW, HP, Amps, kVA (13)
HP to kW Calculator (x0.7457) | Horsepower to Kilowatts
1 mechanical horsepower (HP) equals 0.7456999 kilowatts (kW) per NIST Special Publication 811, the...
kW to Amps Calculator | Single & Three Phase
The kW to amps conversion answers the fundamental question every electrical engineer faces when designing...
kW to HP Calculator (x1.34102) | Motor Power Converter
1 kilowatt (kW) equals 1.34102 mechanical horsepower (HP). Horsepower was defined by James Watt in the late...
3 Phase Power Calculator | kW, Amps, Voltage, PF
Three-phase power is the universal standard for industrial, commercial, and utility electrical systems -- from...
Amp Hours (Ah) to kWh Calculator | Battery Capacity
Amp-hours (Ah) measures electric charge -- the quantity of electrons a battery can deliver over time. One...
HP to Amps Calculator | Motor Full Load Current
The HP to amps conversion is the foundational motor circuit calculation in North American electrical...
kVA to kW Calculator (xPF) | Apparent to Real Power
kVA (kilovolt-amperes) measures apparent power -- the total electrical power that must be supplied by a...
kW to kVA Calculator (/PF) | Real to Apparent Power
kW to kVA conversion is the essential first calculation in sizing every piece of AC electrical distribution...
kWh to Amp Hours (Ah) Calculator | Battery Sizing
Converting kilowatt-hours (kWh) to amp-hours (Ah) is the core calculation for translating an energy budget...
Power Factor Calculator | kW, kVA, kVAR & Phase Angle
Power factor (PF) is the ratio of real power (kW) to apparent power (kVA) in an AC circuit. PF = kW / kVA,...
kVA to Amps Calculator | Single & Three Phase
The kVA to amps conversion is the cornerstone of transformer and generator specification, determining the...
Motor Full Load Amps (FLA) Calculator | NEC 430.250
Motor Full Load Amps (FLA) is the steady-state current a motor draws when operating at its rated horsepower,...
Power Factor Correction Calculator | Capacitor Bank kVAr
Power factor correction capacitor sizing is a standard industrial electrical engineering calculation with...
Frequently Asked Questions
How many HP is 1 kW?
1 kW = 1.34102 HP. For quick field estimation, 1 kW ≈ 1.34 HP. A 0.75 kW IEC motor is approximately 1 HP — the standard substitution when replacing a NEMA 1 HP motor with an IEC frame motor. For large industrial motors: 75 kW = 100.6 HP, 200 kW = 268 HP.
How do I convert kVA to kW?
kW = kVA × PF (Power Factor). For typical industrial loads at PF = 0.85: 100 kVA = 85 kW. For resistive loads at PF = 1.0: 100 kVA = 100 kW. The power factor represents how much of the apparent power (kVA) is converted to real work (kW). A low PF means wasted capacity — the transformer or generator must be oversized to deliver the same real power.
Why is the √3 factor used in 3-phase calculations?
√3 ≈ 1.732 relates line voltage to phase voltage in a 3-phase wye system: V_L-L = √3 × V_L-N. The total 3-phase power is the sum of three individual phase powers, which simplifies to P = √3 × V_L-L × I × PF. Using the single-phase formula for a 3-phase load underestimates current by 42%, which can lead to undersized conductors and breakers.
How many Amp Hours is 1 kWh?
At 12V: 1 kWh = 83.3 Ah. At 24V: 1 kWh = 41.7 Ah. At 48V: 1 kWh = 20.8 Ah. This is why higher-voltage battery systems are more practical — a 10 kWh requirement at 12V needs 833 Ah (impractically large), but at 48V needs only 208 Ah (a single server rack battery).