kVA = kW ÷ Power Factor · Typical PF = 0.8 → 10 kW = 12.5 kVA
📊 Quick Reference Table
| kW | PF 0.80 | PF 0.85 | PF 0.90 | PF 1.00 |
|---|---|---|---|---|
| 1 | 1.25 | 1.18 | 1.11 | 1.00 |
| 5 | 6.25 | 5.88 | 5.56 | 5.00 |
| 10 | 12.50 | 11.76 | 11.11 | 10.00 |
| 50 | 62.50 | 58.82 | 55.56 | 50.00 |
| 100 | 125.00 | 117.65 | 111.11 | 100.00 |
| 500 | 625.00 | 588.24 | 555.56 | 500.00 |
| 1000 | 1250.00 | 1176.47 | 1111.11 | 1000.00 |
❓ Frequent Questions
Is kW always less than kVA?
Yes — kW = kVA × PF, and since PF ≤ 1, kW is always equal to or less than kVA.
🔄 Need the reverse calculation? If you need to convert from KVA to KW (the opposite direction of this page), use our dedicated KVA to KW calculator with full conversion tables, step-by-step examples, and engineering formulas.
What PF should I use?
Use 0.80 for general industrial loads. Check the nameplate or your utility bill for the actual value.
Converting kW to kVA is one of the most common calculations in electrical engineering — whether you’re sizing a generator, selecting a transformer, or filling out a load schedule. The relationship is straightforward: divide the active power in kilowatts by the power factor to get the apparent power in kVA. This page gives you an instant calculator, the complete formula, conversion tables for commercial values, and solved examples that cover single-phase motors, three-phase industrial feeders, and standby generators. Every number on this page has been verified by an engineer with two decades of field experience.
kW to kVA Conversion Table — Standard Commercial Values
The table below shows the most common kilowatt values used in commercial and industrial equipment, converted to kVA at three standard power factors. Use PF 0.80 as a safe default when the nameplate or utility data is not available. For UPS systems and data centers, PF 0.90 is now common with modern switch-mode power supplies.
| kW | kVA (PF 0.80) | kVA (PF 0.85) | kVA (PF 0.90) | Typical Application |
|---|---|---|---|---|
| 1 | 1.25 | 1.18 | 1.11 | Small single-phase motor |
| 3 | 3.75 | 3.53 | 3.33 | Residential air conditioner |
| 5 | 6.25 | 5.88 | 5.56 | Small workshop compressor |
| 6 | 7.50 | 7.06 | 6.67 | Commercial refrigeration |
| 10 | 12.50 | 11.76 | 11.11 | Small retail store total load |
| 15 | 18.75 | 17.65 | 16.67 | Multi-split HVAC system |
| 30 | 37.50 | 35.29 | 33.33 | Restaurant kitchen equipment |
| 50 | 62.50 | 58.82 | 55.56 | Small factory process line |
| 75 | 93.75 | 88.24 | 83.33 | Large pump station |
| 100 | 125.00 | 117.65 | 111.11 | Medium industrial plant |
| 150 | 187.50 | 176.47 | 166.67 | Commercial building main feed |
| 200 | 250.00 | 235.29 | 222.22 | High-rise elevator bank |
| 500 | 625.00 | 588.24 | 555.56 | Industrial feeder section |
| 600 | 750.00 | 705.88 | 666.67 | Standby generator load |
| 750 | 937.50 | 882.35 | 833.33 | Mining or cement operations |
| 1000 | 1250.00 | 1176.47 | 1111.11 | Large plant main transformer |
| 1200 | 1500.00 | 1411.76 | 1333.33 | Data center power module |
| 1500 | 1875.00 | 1764.71 | 1666.67 | Substation distribution |
| 2000 | 2500.00 | 2352.94 | 2222.22 | Large campus main service |
| 2500 | 3125.00 | 2941.18 | 2777.78 | Heavy industrial process |
| 3000 | 3750.00 | 3529.41 | 3333.33 | Utility-scale distribution |
How to Convert kW to kVA — Formulas Step by Step
The conversion from kilowatts to kVA depends on one variable: the power factor (PF). The formula is identical for single-phase and three-phase systems because kW and kVA are already total system quantities — the number of phases is already factored in when you measure or calculate them.
Where:
kVA = apparent power in kilovolt-amperes (what the transformer or generator must deliver).
kW = active (real) power in kilowatts (what actually does useful work).
PF = power factor (dimensionless, 0 < PF ≤ 1). This tells you how efficiently the equipment converts apparent power into real work.
If you know the voltage and current instead, you can reach kVA directly:
But the most practical path in everyday work is the first formula: take the kW from your load schedule or nameplate, divide by PF, and you have the kVA your supply equipment must handle. The key insight is that the power factor acts as a “penalty” — a lower PF means you need a larger (and more expensive) transformer or generator to deliver the same useful power.
Why does the same formula work for single-phase and three-phase?
Because both kW and kVA are system-level quantities. When you read “10 kW” on a three-phase motor nameplate, that already accounts for all three phases. When you divide that by PF, the result is the total three-phase kVA. You never need a separate “three-phase formula” for kW-to-kVA conversion — a common source of confusion. The √3 factor only appears when you go from volts and amps to kVA, not from kW to kVA. Standards like IEEE and IEC 60034 define power factor consistently for all systems.
kW vs kVA — Types and Differences
Understanding the distinction between kW and kVA is essential for sizing electrical equipment correctly. The difference comes from the power triangle: kW is the horizontal component (real power), kVAR is the vertical component (reactive power), and kVA is the hypotenuse (apparent power).
| Characteristic | kW (Kilowatt) | kVA (Kilovolt-Ampere) |
|---|---|---|
| Type of power | Real / active power | Apparent power |
| What it measures | Useful work performed | Total power the source must deliver |
| Used to size | Loads (motors, heaters, lights) | Supply equipment (transformers, generators, UPS) |
| Affected by PF? | No — kW is the real output | Yes — kVA = kW ÷ PF |
| Billing | Energy usage (kWh on your bill) | Demand charge (utilities penalize low PF via kVA demand) |
| For resistive loads | kW = kVA (PF = 1) | kVA = kW (PF = 1) |
| For motors | kW < kVA (PF ≈ 0.80–0.85) | kVA > kW (always larger) |
| Unit symbol | kW | kVA |
In practical terms: when you buy a diesel generator rated 500 kVA and the nameplate says PF = 0.80, you can draw up to 400 kW of real power from it (500 × 0.80 = 400). If your load is 400 kW but has a PF of only 0.70, you actually need 400 ÷ 0.70 = 571.4 kVA — that 500 kVA generator is too small.
kVA to kW — Inverse Conversion
To reverse the conversion, multiply instead of dividing:
| kVA | kW (PF 0.80) | kW (PF 0.85) | kW (PF 0.90) | kW (PF 1.00) |
|---|---|---|---|---|
| 10 | 8.00 | 8.50 | 9.00 | 10.00 |
| 50 | 40.00 | 42.50 | 45.00 | 50.00 |
| 100 | 80.00 | 85.00 | 90.00 | 100.00 |
| 500 | 400.00 | 425.00 | 450.00 | 500.00 |
| 1000 | 800.00 | 850.00 | 900.00 | 1000.00 |
| 1500 | 1200.00 | 1275.00 | 1350.00 | 1500.00 |
| 2000 | 1600.00 | 1700.00 | 1800.00 | 2000.00 |
Need the full inverse calculator? Use our tool above — just switch the direction to “kVA → kW” and enter your value.
Solved Examples — 6 Real-World Cases
Example 1 — Small Workshop Compressor (5 kW)
Data: A single-phase compressor draws 5 kW. The nameplate shows PF = 0.82.
Formula: kVA = kW ÷ PF = 5 ÷ 0.82 = 6.10 kVA
A 7.5 kVA single-phase transformer covers this load with about 19% headroom — enough for inrush current.
Example 2 — 6 kW Commercial Cooler
Data: Walk-in cooler rated 6 kW, PF = 0.80 (standard refrigeration motor).
Formula: kVA = 6 ÷ 0.80 = 7.50 kVA
This tells you a 10 kVA branch circuit or dedicated transformer is the right pick, leaving margin for defrost heaters.
Example 3 — 75 kW Pump Station
Data: Three-phase submersible pump, 75 kW, PF = 0.84 (measured by power analyzer).
Formula: kVA = 75 ÷ 0.84 = 89.29 kVA
Standard transformer sizes jump from 75 to 100 kVA. You need the 100 kVA unit — the 75 kVA transformer would be overloaded.
Example 4 — 150 kW Building Feed
Data: A commercial building has a total demand of 150 kW, composite PF = 0.85 after correction.
Formula: kVA = 150 ÷ 0.85 = 176.47 kVA
You would specify a 200 kVA dry-type transformer. Adding 25% capacity factor per NEMA TP-1 gives you room for future expansion.
Example 5 — 600 kW Standby Generator
Data: Emergency generator supplying 600 kW, PF = 0.80 (standard gen-set rating).
Formula: kVA = 600 ÷ 0.80 = 750.00 kVA
A 750 kVA generator is exactly matched. In practice, specify at least 800 kVA to handle motor starting inrush and NEC Article 700 requirements.
Example 6 — 1200 kW Data Center Module
Data: IT load 1200 kW, modern server PF = 0.95 (active PFC power supplies).
Formula: kVA = 1200 ÷ 0.95 = 1263.16 kVA
With near-unity PF, the kVA is barely larger than the kW. A 1500 kVA UPS module provides the standard 2N redundancy at this tier level.
kW to kVA in Electric Motors — Nameplate Reading
Electric motors are the most common load where the kW-to-kVA conversion matters in daily practice. The motor nameplate gives you the output power in kW (or HP), but the transformer and cabling must handle the input power in kVA. The difference comes from two factors: motor efficiency and power factor.
The full chain looks like this:
For example, a 50 kW motor with 93% efficiency and PF 0.84 draws: 50 ÷ (0.93 × 0.84) = 50 ÷ 0.7812 = 64.0 kVA from the supply. That is 28% more apparent power than the shaft output. If you only sized the transformer at 50 kVA, you would overload it.
Always check the motor nameplate for the rated current (FLA — Full Load Amps) and voltage. From these you can also calculate kVA directly: for three-phase, kVA = (V × I × 1.732) ÷ 1000. Both methods should give you the same answer — if they don’t, re-check the efficiency value.
During startup, induction motors draw 6–8 times their rated current for a few seconds (locked-rotor amps, or LRA). This short-duration surge must be handled by the transformer but does not change the steady-state kVA rating. For generator sizing, however, you must account for it using the starting kVA: multiply the running kVA by the inrush multiplier (typically 6× for direct-on-line starting).
Quick Equivalences — kW to kVA
Below are direct answers for the most searched kW-to-kVA conversions. All values assume PF = 0.80 unless otherwise noted. If your power factor is different, use the calculator above for an exact result.
1 kW to kVA
1.25 kVA
At PF 0.80. For a purely resistive heater (PF 1.0), 1 kW = 1 kVA exactly.
6 kW to kVA
7.50 kVA
Common for single-phase commercial refrigeration or small shop loads. A 10 kVA transformer covers it.
75 kW to kVA
93.75 kVA
Typical large pump or fan motor. Select a 100 kVA transformer — the next standard size up.
150 kW to kVA
187.50 kVA
Medium commercial building total demand. A 200 kVA transformer is the right match.
600 kW to kVA
750.00 kVA
Standard standby generator application. Many gen-sets are rated exactly 750 kVA / 600 kW at PF 0.80.
750 kW to kVA
937.50 kVA
Heavy industrial — mining, cement kilns. Specify a 1000 kVA transformer for headroom.
1200 kW to kVA
1500.00 kVA
Data center power block. With modern PF = 0.95, this drops to just 1263 kVA.
2000 kW to kVA
2500.00 kVA
Campus-scale main service. Often fed by a 2500 kVA pad-mounted transformer.
2500 kW to kVA
3125.00 kVA
Heavy process plant. May require paralleled transformers or a dedicated substation.
3000 kW to kVA
3750.00 kVA
Utility-scale distribution level. Typically uses oil-filled transformers at this capacity.
Frequently Asked Questions
How many kVA is 1 kW?
1.25 kVA at a power factor of 0.80. The formula is kVA = kW ÷ PF. At PF = 1.0 (purely resistive loads like electric heaters), 1 kW equals exactly 1 kVA.
What is the formula to convert kW to kVA?
kVA = kW ÷ PF. This single formula works for both single-phase and three-phase systems. Power factor (PF) ranges from 0 to 1 and represents how efficiently the load uses apparent power.
Is the kW to kVA formula different for three-phase?
No. kVA = kW ÷ PF is the same for single-phase and three-phase. The √3 factor only appears when converting from volts and amps to kVA, not from kW to kVA. Both kW and kVA are already total system values regardless of phase count.
What power factor should I use if I don’t know it?
0.80 is the standard assumption for mixed industrial loads. For residential loads use 0.85–0.90. For data centers with modern power supplies, use 0.95. You can find the actual PF on your utility bill or by measuring with a power quality meter.
Why is kVA always larger than kW?
Because kVA = kW ÷ PF, and PF is always ≤ 1. Dividing by a number less than 1 produces a larger result. The difference represents the reactive power (kVAR) that flows back and forth in the circuit without doing useful work but still loads the conductors and transformer.
How do I convert 150 kW to kVA?
187.50 kVA at PF = 0.80. Calculation: 150 ÷ 0.80 = 187.50. If the actual PF is 0.85, the result is 150 ÷ 0.85 = 176.47 kVA. Always use the measured or nameplate PF when available.
What is the difference between kW and kVA in a generator?
kW is the real power the generator can deliver to do work (run motors, light bulbs). kVA is the apparent power — the total electrical output including reactive power. A 500 kVA generator at PF 0.80 can supply a maximum of 400 kW of real power.
How do I size a transformer using kW to kVA?
Add up all load kW on the load schedule, divide by the composite PF, then select the next standard transformer size above the result. Standard sizes are 15, 30, 45, 75, 100, 150, 200, 300, 500, 750, 1000, 1500, 2000, and 2500 kVA.
Can kW and kVA ever be equal?
Yes — when PF = 1.0 (unity). This occurs with purely resistive loads: electric heaters, incandescent lighting, and resistor banks. Any load with a motor, capacitor, or inductor will have PF < 1, making kVA larger than kW.
How does power factor affect my electricity bill?
Many utilities charge a demand penalty when your PF drops below 0.90 or 0.85. A low PF increases the kVA demand for the same kW of useful work, meaning you need larger transformers, heavier cables, and you pay more in demand charges. Installing capacitor banks to correct PF saves money and frees up transformer capacity.
What is 600 kW in kVA?
750.00 kVA at PF = 0.80. This is one of the most common generator ratings in the industry: 750 kVA / 600 kW. At PF 0.85, the answer is 705.88 kVA. The calculator at the top gives you instant results for any PF.
How do I convert kW to kVA for a three-phase motor?
Use kVA = kW ÷ PF, exactly the same as for single-phase. If the motor nameplate shows 50 kW and PF = 0.84, then kVA = 50 ÷ 0.84 = 59.52 kVA. Remember that nameplate kW is the shaft output — for input kVA, also divide by motor efficiency.
Related Conversions
Explore more electrical conversion calculators on our site:
- Amps to kW Calculator — convert current to kilowatts with voltage and PF.
- Amps to Watts Calculator — formula, table and free converter.
- Amperes to VA Calculator — convert amps to volt-amperes for single and three-phase.
- Amps to HP Calculator — convert amperage to horsepower for motors.
- Motor Efficiency Calculator — calculate input vs output power and losses.
- Balanced and Unbalanced Load Calculation — three-phase load distribution.
