Generator load
- Load
- 100 kW
- PF
- 0.80
- Baseline kVA
- 125 kVA
Continue in the dedicated sizing tool with duty, transient, topology, environment, redundancy, and manufacturer data.
kW to kVA Calculator
kVA = kW ÷ PF. Example: 100 kW at PF 0.8 = 125 kVA. Enter kW and power factor to screen UPS, generator, or transformer kVA.
Learn before calculating
Power factor links real kW to apparent kVA. Read the cluster authority guide for formulas, typical industrial values, and correction methods before you size equipment.
Calculator
Quick: value and PF presets. Use W / VA when nameplates are in watts or volt-amperes (same PF math). Advanced: conversion direction and PF band refine kVA for mixed motor / IT loads.
Inputs (kW or W, PF, and direction)
Used by engineers for electrical load calculation and equipment sizing. A kW to kVA conversion chart at 0.85 PF is below the calculator; expand View full reference table to filter all checkpoints and open prefilled links here.
kW = real power (does work), kVA = apparent power (must be supplied)
1 kW = 1000 W · 1 kVA = 1000 VA. For watts to VA / kW to VA / kVA to watts searches, pick W / VA (VA = kW × 1000 ÷ PF).
Typical: Small motor 5-20 kW, Medium motor 20-50 kW, Large motor 50-200+ kW
UPS protected load uses PF 0.90–0.99 (IT / online frames). Entry 1500 VA desktop bricks are often ~PF 0.6 (~900 W)—set PF from the watt÷VA nameplate, not this preset. Dual-limit: load must be ≤ VA and W. Label trap: What is a UPS (VA vs watts).
Use decimal efficiency: 0.90 = 90%. Set 1.00 when the entered kW is already electrical input.
Typical mixed-load planning range: PF 0.80–0.95. Adjust the assumed value when better evidence is available.
Tip: Adjust kW or PF to instantly update the result.
About this calculator
Turn planning kW (or W) and a realistic power factor into required kVA (or VA) for motors, UPS systems, distribution transformers, and general industrial loads, before you size feeders or upstream equipment. Same page covers watts to VA / kW to VA / W to VA—switch Power unit scale to W / VA (1 kW = 1000 W; VA = kW × 1000 ÷ PF). Searches for kwh to kva also land here: convert energy to average kW first (kW ≈ kWh ÷ hours), then kVA = kW ÷ PF—kWh is not interchangeable with kVA. Need the derivation first? Read the kW to kVA formula guide (this page owns the instant calculator). Definitions: kVA vs kW. UPS nameplates must pass both VA and watts—desktop 1500 VA bricks are often ~900 W, not the IT PF 0.95 preset; see What is a UPS (VA vs watts). Broader workflows: power calculator hub. Need kVA → kW? Use the dedicated kVA to kW calculator (e.g. 1 kVA @ 0.8 PF → 0.8 kW).
- Estimate generator required kVA from kW, then screen a headroom range before detailed generator sizing.
- Convert UPS and data-center kW at PF 0.90–0.99 and continue with the calculated load.
- Convert motor nameplate output kW using both efficiency and PF; use 100% efficiency for measured electrical input kW.
- Compare measured or nameplate PF with an assumed PF range instead of treating one planning value as certain.
Calculation Results
11.76kVA
At a power factor of 0.85, a 10 kW load corresponds to 11.76 kVA of apparent power.
Default preview — updates when you change inputs (kW → kVA).
Power factor is required: kVA = kW ÷ PF. Use a nameplate or measured PF when possible.
Engineering disclaimer
This calculator provides power conversion estimates only. For final electrical system design, equipment sizing, and power factor correction, consult a licensed electrical engineer or certified professional. Actual power requirements may vary based on detailed load analysis, harmonics, and specific application requirements.
Common kW to kVA Conversion Chart
Compare kVA = kW ÷ PF across common power factors. Open a row to load that kW at PF 0.8 in the calculator. Expand View full reference table for more kW steps at 0.85 PF. For UPS frames, also check the kW (watt) rating of the chassis—unity-PF vs 0.8-PF UPS modules are not interchangeable with this kVA column alone.
| kW | kVA @ 0.8 | kVA @ 0.85 | kVA @ 0.9 | kVA @ 0.95 | kVA @ 1.0 | Calculator |
|---|---|---|---|---|---|---|
| 1 | 1.25 | 1.18 | 1.11 | 1.05 | 1.00 | Open |
| 5 | 6.25 | 5.88 | 5.56 | 5.26 | 5.00 | Open |
| 10 | 12.50 | 11.76 | 11.11 | 10.53 | 10.00 | Open |
| 20 | 25.00 | 23.53 | 22.22 | 21.05 | 20.00 | Open |
| 50 | 62.50 | 58.82 | 55.56 | 52.63 | 50.00 | Open |
| 100 | 125.00 | 117.65 | 111.11 | 105.26 | 100.00 | Open |
| 200 | 250.00 | 235.29 | 222.22 | 210.53 | 200.00 | Open |
| 1000 | 1250.00 | 1176.47 | 1111.11 | 1052.63 | 1000.00 | Open |
View full reference table
Additional kW checkpoints at 0.85 PF (page default). Filter by kW or open a prefilled calculator link.
35 rows
| Real Power (kW) | Power Factor (PF) | Apparent Power (kVA) | Calculator |
|---|---|---|---|
| 1 | 0.85 | 1.18 | Open |
| 2 | 0.85 | 2.35 | Open |
| 3 | 0.85 | 3.53 | Open |
| 4 | 0.85 | 4.71 | Open |
| 5 | 0.85 | 5.88 | Open |
| 6 | 0.85 | 7.06 | Open |
| 7 | 0.85 | 8.24 | Open |
| 8 | 0.85 | 9.41 | Open |
| 9 | 0.85 | 10.59 | Open |
| 10 | 0.85 | 11.76 | Open |
| 12 | 0.85 | 14.12 | Open |
| 15 | 0.85 | 17.65 | Open |
| 18 | 0.85 | 21.18 | Open |
| 20 | 0.85 | 23.53 | Open |
| 22 | 0.85 | 25.88 | Open |
| 25 | 0.85 | 29.41 | Open |
| 30 | 0.85 | 35.29 | Open |
| 35 | 0.85 | 41.18 | Open |
| 40 | 0.85 | 47.06 | Open |
| 45 | 0.85 | 52.94 | Open |
| 50 | 0.85 | 58.82 | Open |
| 63 | 0.85 | 74.12 | Open |
| 75 | 0.85 | 88.24 | Open |
| 90 | 0.85 | 105.88 | Open |
| 110 | 0.85 | 129.41 | Open |
| 125 | 0.85 | 147.06 | Open |
| 160 | 0.85 | 188.24 | Open |
| 200 | 0.85 | 235.29 | Open |
| 250 | 0.85 | 294.12 | Open |
| 315 | 0.85 | 370.59 | Open |
| 400 | 0.85 | 470.59 | Open |
| 500 | 0.85 | 588.24 | Open |
| 630 | 0.85 | 741.18 | Open |
| 800 | 0.85 | 941.18 | Open |
| 1000 | 0.85 | 1176.47 | Open |
Need kVA to kW instead?
This page owns kW → kVA (kVA = kW ÷ PF). Apparent-to-real conversion is kW = kVA × PF on the dedicated
kVA to kW calculator (example: 100 kVA × 0.8 = 80 kW).
How to Convert kW to kVA (Formula & Explanation)
To convert kW to kVA (kilowatts to kilovolt-amperes), divide real power by power factor: kVA = kW ÷ PF. This applies to single-phase and balanced three-phase when you use total kW and an equivalent PF.
kVA = kW / Power Factor (PF)
For a typical power factor of 0.8, kVA = kW ÷ 0.8. That is 1 kW = 1.25 kVA, 10 kW = 12.5 kVA, 50 kW = 62.5 kVA, 100 kW = 125 kVA, and 1000 kW = 1250 kVA. At 0.9 PF, 50 kW = 55.56 kVA. kW is real power, kVA is apparent power, and power factor is the ratio between them. A lower power factor needs more kVA for the same kW. These values use the same formula as the calculator and the conversion chart.
kVA ↔ watts (same PF math): W = kVA × PF × 1000 · kVA = W ÷ (PF × 1000).
Example: 5 kVA @ 0.85 PF → 4,250 W. Switch Power unit scale to W / VA for appliance-scale values—no separate kVA↔W page.
kW ↔ VA: VA = kW × 1000 ÷ PF · kW = VA × PF ÷ 1000
(same as kVA = kW ÷ PF after the ×1000 scale). Example: 10 kW @ 0.85 PF → ≈ 11,765 VA.
Use the 10 kW→VA preset (W / VA scale)—no separate kW↔VA converter.
UPS dual-limit: after you convert W → VA, the load must still be ≤ the UPS watt nameplate. Example: 1000 W @ PF 0.6 → ≈ 1667 VA, but a 1000 VA / 600 W brick still fails. Do not use the UPS protected load PF 0.95 preset on a consumer 1500 VA (~900 W) unit. Nameplate explainer: What is a UPS — VA vs watts.
kW to kVA calculation example
If you have 10 kW at 0.85 power factor, apparent power is: kVA = 10 ÷ 0.85 = 11.76 kVA
Tip: Use the kW to kVA calculator above for instant results at 0.8, 0.85, 0.9, or any custom PF between 0.1 and 1.0. Need the reverse? Open the kVA to kW calculator.
kVA vs kW: kW is real power (does work); kVA is apparent power (must be supplied by the source or equipment rating). Full difference, PF triangle, and sizing rules are on the guide—not this converter.
Mechanical loads are often rated in hp (horsepower). Use 1 hp ≈ 0.746 kW (IEC) to express motor power in kW, then use the calculator with your PF.
Need 1 kVA in kW?
Reverse formula: kW = kVA × PF. Example: 1 kVA × 0.8 = 0.8 kW. Run it on the kVA to kW calculator — this page stays on kVA = kW ÷ PF.
After you have kVA here, continue with kVA to amps or transformer sizing when needed.
- kW → kVA (this page): divide real power by PF.
- kVA → kW (dedicated calculator): multiply apparent power by PF.
- PF is between 0 and 1; use nameplate or measured values when possible.
More context: kVA vs kW · 3-phase power formula · Power factor formula · 3-phase power calculator · kVA to amps · Transformer sizing · Power Calculators Hub
kVA² = kW² + kVAR²; with PF known, PF = kW ÷ kVA.
3-Phase kW to kVA Formula
In a three-phase system, the relationship between total real power and apparent power is still set by power factor:
kVA = kW ÷ PF
Use total three-phase kW and an equivalent PF (nameplate or measured). Phase count does not change this conversion when you already know kW and PF.
A different formula is used when you start from line voltage and line current (not from kW):
kVA = √3 × VL-L × IL ÷ 1000
Here V is line-to-line voltage and I is line current. That expression finds apparent power from V and I; it is not a substitute for kVA = kW ÷ PF. For V–I–PF workflows, use the 3-Phase Power Calculator; after you have kVA, continue to kVA to Amps (3-phase).
3-phase example (kW → kVA)
Load = 100 kW (total three-phase), PF = 0.8: kVA = 100 ÷ 0.8 = 125 kVA The same kW-to-kVA relationship applies to three-phase loads; phase configuration matters when you calculate power from voltage and current. Open 100 kW @ 0.8 PF
kW to kVA calculation examples
Engineering decision examples
These examples show only the arithmetic baseline from kVA = kW ÷ PF. They do not select a generator, UPS, transformer, conductor, or protection device.
UPS protected bus
- Load
- 40.0 kW
- PF
- 0.95
- Baseline kVA
- 42.1 kVA
Continue in the dedicated sizing tool with duty, transient, topology, environment, redundancy, and manufacturer data.
Transformer feed
- Load
- 75.0 kW
- PF
- 0.90
- Baseline kVA
- 83.3 kVA
Continue in the dedicated sizing tool with duty, transient, topology, environment, redundancy, and manufacturer data.
Application decision table
Illustrative PF inputs and their arithmetic kVA baselines. Use measured or nameplate PF for the actual operating point; these rows are not equipment recommendations.
| Application | Example PF | Baseline kVA |
|---|---|---|
| Generator backup | 0.80 | 125 |
| UPS / IT bus | 0.95 | 105 |
| Induction motor | 0.85 | 118 |
| Transformer load | 0.90 | 222 |
| VFD drive | 0.96 | 78.1 |
| HVAC chiller | 0.88 | 284 |
| Data center row | 0.95 | 84.2 |
| General mixed load | 0.85 | 74.1 |
Engineering notes
Common mistakes
Treating kW as kVA is the most frequent sizing error—motors and mixed plants rarely run at unity PF.
Recommendation: Always divide kW by a realistic PF before you match generator, UPS, or transformer catalog frames.
Safety margin
Steady-state kVA does not cover motor starting, harmonics, or planned expansion.
Recommendation: Apply only the duty, transient, environment, redundancy and code/OEM rules that belong to the selected equipment and project.
Power factor selection
Nameplate PF, measured PF, displacement factor and true PF can differ by operating point and waveform.
Recommendation: Use measured true PF for the coincident load state, or clearly label a documented planning assumption.
Oversizing
Oversized sources improve headroom but increase cost, losses, and minimum loading issues.
Recommendation: Round up to the next standard frame only after margin rules—not every intermediate kVA step is a catalog size.
Undersizing
Undersizing apparent power risks overload alarms, breaker nuisance trips, and voltage depression during inrush.
Recommendation: Compare the calculated baseline with the selected product's continuous, transient and environmental ratings in the downstream tool.
Starting current
Motor and transformer energization can draw several times steady kVA for seconds.
Recommendation: Use generator and UPS sizing tools for inrush factors—this page models steady kW ÷ PF only.
Electrical sizing workflow
Move from apparent power to current, protection, conductors, and backup planning.
Need the full explanation?
Understand power factor formulas, utility penalties, and correction workflows in the Power Systems cluster authority guide.
Frequently Asked Questions
How do I convert kW to kVA?
Divide real power by power factor: kVA = kW ÷ PF. Example: 10 kW at PF 0.85 = 11.76 kVA. Enter kW and PF in the calculator for any load.
How do I convert watts to VA (W to VA)?
Same math as kW→kVA: VA = W ÷ PF (1 kW = 1000 W, 1 kVA = 1000 VA). Example: 3600 W @ PF 0.9 → 4000 VA. Switch Power unit scale to W / VA or use the 3600 W preset—no separate watts-to-VA page.
How do I convert kW to VA?
VA = kW × 1000 ÷ PF (same as kVA = kW ÷ PF after the ×1000 scale). Example: 10 kW @ PF 0.85 → ≈ 11,765 VA. Use the 10 kW→VA preset on W / VA scale—no separate kW↔VA page.
How do I convert VA to kW?
kW = VA × PF ÷ 1000. Example: 11,765 VA @ PF 0.85 → ≈ 10 kW. Choose kVA → kW with W / VA scale, or divide VA by 1000 and stay on kW / kVA.
How do I convert kVA to watts?
W = kVA × PF × 1000. Example: 5 kVA @ PF 0.85 → 4,250 W. Use Conversion Direction kVA → kW with scale W / VA, or the 5 kVA→W preset.
How do I convert watts to kVA?
kVA = W ÷ (PF × 1000). Example: 3600 W @ PF 0.9 → 4.0 kVA. Enter watts on W / VA scale, or divide by 1000 and stay on kW / kVA.
How to convert 1 kVA to kW?
Use kW = kVA × PF on the kVA to kW calculator. At PF 0.8, 1 kVA = 0.8 kW; at PF 1.0, 1 kVA = 1 kW. This page converts the other way: kVA = kW ÷ PF.
How many kVA is in 1 kW?
It depends on PF. At 0.85 PF, 1 kW ≈ 1.18 kVA. At 0.80 PF, 1 kW = 1.25 kVA. Open 1 kW @ 0.85 PF in the calculator.
Is 1 kW equal to 1 kVA?
Only when power factor is 1.0 (unity). At typical industrial 0.85 PF, 1 kW ≈ 1.18 kVA because apparent power must cover real power plus reactive load. Compare 1 kW at your PF.
What is 1 kWh in kVA?
kWh is energy (kilowatts × hours); kVA is instantaneous apparent power—you cannot swap them without a time interval. 1 kWh means 1 kW of real energy consumed over one hour. At PF 0.85, that hour averaged about 1.18 kVA of apparent power (1 ÷ 0.85). For equipment sizing at a steady load, convert kW → kVA with kVA = kW ÷ PF in the calculator.
How do I convert kWh to kVA?
kWh → kVA needs a time base: average kW ≈ kWh ÷ hours, then kVA = kW ÷ PF. Example: 100 kWh over 8 hours ≈ 12.5 kW; at PF 0.85 → ≈ 14.7 kVA. Enter that kW and PF above—do not treat a kWh meter reading as a transformer nameplate.
What is 3600W in kVA?
3600 W = 3.6 kW. At PF 0.9 → kVA = 3.6 ÷ 0.9 = 4.0 kVA; at PF 0.8 → 4.5 kVA. Enter 3.6 kW (or watts÷1000) and your PF in the calculator.
Is 1 kW equal to 1 HP?
No. One mechanical horsepower (HP) ≈ 0.746 kW (745.7 W). So 1 kW ≈ 1.34 HP, and a 1 HP motor draws about 0.75 kW at full load before efficiency and PF. Convert HP to kW, then use kVA = kW ÷ PF for transformer or generator sizing. See the HP note in Conversion Chart.
How much is 10 kW in kVA?
At PF 0.85, 10 kW = 11.76 kVA (10 ÷ 0.85). Open 10 kW in the calculator or adjust PF for your equipment.
Is 60 kVA the same as 60 kW?
Not usually—60 kVA = 60 kW only at PF 1.0. At 0.85 PF, 60 kW ≈ 70.6 kVA (60 ÷ 0.85). Try 60 kW @ 0.85 PF in the calculator.
How many kW is 1 KV?
In kW/kVA searches, KV often means kVA (typo), not kilovolts. If you mean 1 kVA at 0.85 PF, real power ≈ 0.85 kW (kW = kVA × PF). For voltage in kV, that is a different unit—use your line voltage in the kVA to amps tool.
What is 20 kVA in kW?
At PF 0.85, 20 kVA ≈ 17 kW real power (kW = kVA × PF). At unity PF, 20 kVA = 20 kW. Adjust PF in the calculator for your load.
How many kW is 20 kVA?
At PF 0.85, 20 kVA ≈ 17 kW (kW = kVA × PF). At PF 1.0, 20 kVA = 20 kW. Enter 20 kVA equivalent load and your PF in the calculator.
What is 20 kW in kVA?
At PF 0.85, 20 kW ≈ 23.53 kVA (20 ÷ 0.85). Open 20 kW @ 0.85 PF in the calculator.
What is 7 kW in kVA?
At PF 0.85, 7 kW ≈ 8.24 kVA (7 ÷ 0.85). Calculate 7 kW with your PF.
What is 25 kW in kVA?
At PF 0.85, 25 kW ≈ 29.41 kVA (25 ÷ 0.85). Prefill 25 kW in the calculator.
What is 50 kW in kVA?
At PF 0.85, 50 kW ≈ 58.82 kVA (50 ÷ 0.85). See the conversion chart or open 50 kW in the calculator.
What is 100 kW in kVA?
At PF 0.85, 100 kW ≈ 117.65 kVA (100 ÷ 0.85). Calculate 100 kW with your PF.
What is 200 kW in kVA?
At PF 0.85, 200 kW ≈ 235.29 kVA (200 ÷ 0.85). Add design headroom before generator or transformer selection.
Must a UPS load fit both VA and watts?
Yes. Apparent power (VA) and real power (W) are separate nameplate limits. A 1000 VA / 600 W UPS cannot run a 700 W PC. Convert with VA = W ÷ PF on W / VA scale, then confirm watts. Desktop 1500 VA bricks are often ~900 W (PF ~0.6)—do not use the IT PF 0.95 UPS preset. Label trap: What is a UPS (VA vs watts).
How many watts is a 3000VA UPS?
Watts = VA × PF. At PF 0.6 → 1800 W; at PF 0.9 → 2700 W. A 1200 VA unit is ~720 W at 0.6 or ~1080 W at 0.9. Switch this calculator to kVA → kW and W / VA, or read the watt line on the box.
What power factor should I use?
Use nameplate or measured PF first. If unavailable, start with 0.80–0.90 for motors or 0.95 for IT loads, then verify with the calculator. For UPS sizing, continue to the UPS capacity calculator after kVA—see also UPS efficiency and losses when PF or η limits runtime.
Why does low PF increase kVA?
At the same kW, lower PF means more apparent power is needed. Use the calculator to compare different PF values and see required kVA instantly.
Can I use this as a kW to kVA converter?
Yes—enter any kW and PF to get kVA instantly. Formula: kVA = kW ÷ PF. Example: 100 kW @ 0.8 PF = 125 kVA. Open the converter.
How do I convert kW to kVA for 3-phase loads?
Use the same conversion: kVA = kW ÷ PF with total three-phase kW and an equivalent PF. That is different from kVA = √3 × V × I ÷ 1000 (apparent power from line voltage and current). See 3-Phase kW to kVA Formula, then continue to kVA to amps (3-phase) or the 3-Phase Power Calculator.
How do I choose kVA for generator or transformer sizing?
Start from nameplate or measured kW, apply a realistic PF to estimate kVA, then add 15–25% design headroom for harmonics, inrush, and load variation before selecting equipment. Validate assumptions with a licensed engineer for final design.
Review & sources
Reviewed: CalcPanel Electrical Engineering Team
Updated: 2026-06-29
Reference
Power conversion center
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