kVA to kW

Enter your kVA value and power factor below. Watch the vector diagrams, waveforms, and metrics update in real time.

Enter Your Values

Type your numbers or use the smooth sliders below
100 kVA
kVA
0.80
PF
Common Power Factors:

Visual Power Triangle

Visual representation of kVA, kW, and kVAR relationship

Live Triangle
θ = 36.9°kW = 80kVAR = 60kVA = 100
Real Power (kW):80 kW
Reactive (kVAR):60 kVAR
Total (kVA):100 kVA

Power Distribution & Efficiency

80% Useful Work • 20% Reactive
Real: 80%
Reactive: 20%
Useful Power (kW) Reactive Power (kVAR)
System Efficiency:Fair (80%)Fair — Typical industrial motor load profile

Real Power Output

Active / usable electric power
80kW
100 kVA × 0.80 PF = 80 kW

How to Convert kVA to kW

To convert kVA to kW, multiply the kVA value by the power factor.

kVA to kW Formula

The kVA to kW conversion formula is:

kW = kVA × Power Factor

kW is real power in kilowatts, kVA is apparent power in kilovolt-amperes, and PF is the power factor (a decimal between 0 and 1). This power conversion applies to all AC circuit types.

What the kVA to kW Formula Variables Mean

kVAKilovolt-Ampere

Apparent power — the total power demand of an electrical system, including both real and reactive components.

kWKilowatt

Real power — the actual power consumption that performs useful work such as running motors, producing heat, or generating light.

PFPower Factor

The ratio of real power to apparent power, expressed as cos(θ). Ranges from 0 to 1. Standard commercial value is 0.80.

kVA to kW Calculation Example

Convert 100 kVA to kW at 0.80 power factor:

kW = kVA × PF
kW = 100 × 0.80
kW = 80 kW

100 kVA of apparent power at a power factor of 0.80 delivers 80 kW of real power output. The remaining 60 kVAR is reactive power that oscillates without performing work.

Conversion Flow

1
Apparent Power
100 kVA
×
Power Factor
0.80
⚡
Real Power
80 kW

kW = kVA × PF = 100 × 0.80 = 80 kW

What Is kVA?

kVA (kilovolt-ampere) is the unit of apparent power in an electrical system. One kVA equals 1,000 volt-amperes (VA).

What Does kVA Measure?

kVA measures apparent power — the total power flowing through an AC circuit. Apparent power in kVA includes both real power (kW) that does useful work and reactive power (kVAR) that sustains magnetic and electric fields in inductive loads and capacitive loads.

Generators, transformers, and UPS (Uninterruptible Power Supply) systems list their capacity in kVA because these devices must handle the total power demand, not just the real power.

Apparent Power Explained

Apparent power is the product of voltage and current in an AC circuit:

kVA = (Volts × Amps) ÷ 1,000

Apparent power combines real power and reactive power. In a DC circuit, apparent power equals real power because there is no reactive component. In an AC circuit, apparent power is always greater than or equal to real power.

Apparent Power Meter

02505007501000kVAApparent Power
800 kVA Total Power (80% Rated)

kVA represents the total power demand including both real (kW) and reactive (kVAR) components

What Is kW?

kW (kilowatt) is the unit of real power in an electrical system. One kW equals 1,000 watts (W).

What Does kW Measure?

kW measures real power — the actual power that performs useful work in an electrical load. Real power in kW drives motors, produces heat, generates light, and powers electronic devices. Electricity bills charge based on kW (and kWh), not kVA.

Real Power Explained

Real power is the portion of apparent power that does actual work.

kW = kVA × Power Factor

A 100 kVA generator with a power factor of 0.80 delivers 80 kW of usable real power. The remaining 20% is reactive power that oscillates between the power source and load without performing work.

Real vs Reactive Power Split

100 kVA — Total Apparent Power
80 kWReal Power
20 kVAR
Real Power (kW) — Useful work Reactive Power (kVAR) — No useful work
At 0.80 power factor, 80% of apparent power converts to real power

kVA vs kW

The difference between kVA and kW is the power factor. kVA measures apparent power (total power), and kW measures real power (usable power).

Apparent Power vs Real Power

Apparent power (kVA) is the total power flowing through a circuit. Real power (kW) is the portion that performs useful work. The relationship between kVA and kW: kW = kVA × PF.

PropertykVA (Apparent Power)kW (Real Power)
MeasuresTotal power demandUsable working power
Conversion formulakVA = kW ÷ PFkW = kVA × PF
Used forGenerator rating, transformer sizingElectricity billing, equipment load
Includes reactive powerYesNo
Unit nameKilovolt-AmpereKilowatt

Why kVA and kW Are Different

kVA and kW differ because AC circuits contain reactive power (kVAR). Inductive loads such as motors and transformers draw reactive power that creates a phase difference between voltage and current. This phase difference, measured as the angle θ, means not all apparent power converts to real power. The power factor (cos θ) determines how much kVA becomes kW.

When kVA and kW Are Equal

kVA equals kW when the power factor is 1.0 (unity power factor). A power factor of 1.0 means zero reactive power in the electrical system. Purely resistive loads, such as electric heaters and incandescent lighting, operate at or near unity power factor. For resistive loads, 1 kVA = 1 kW.

Interactive: See the Difference

kVA (Apparent):
100 kVA
kW (Real):
80 kW
kVAR (Reactive):
60 kVAR

At 0.80 PF, only 80% of apparent power becomes usable real power. 60 kVAR of reactive power is present.

Power Factor in kVA to kW Conversion

Power factor directly determines how much apparent power (kVA) converts to real power (kW).

What Is Power Factor?

Power factor (PF) is the ratio of real power (kW) to apparent power (kVA). Power factor ranges from 0 to 1. The power factor formula: PF = kW ÷ kVA = cos(θ), where θ is the phase angle between voltage and current in an AC circuit.

How Power Factor Affects kW

Power factor affects kW output directly. At 0.80 power factor, a 100 kVA power source delivers 80 kW. At 0.90 power factor, the same 100 kVA delivers 90 kW — a 12.5% increase in usable real power. Higher power factor means more actual power consumption from the same apparent power source.

Common Power Factor Values

Equipment TypeTypical Power FactorLoad Type
Electric heaters, incandescent lights0.95 – 1.00Resistive load
LED lighting, modern electronics0.90 – 0.99Corrected
Industrial motors (loaded)0.80 – 0.90Inductive load
Industrial motors (lightly loaded)0.50 – 0.75Inductive load
Welding machines0.50 – 0.70Inductive load
Uncompensated commercial buildings0.70 – 0.85Mixed load

Power Factor Correction

Power factor correction improves the power factor by adding capacitor banks or synchronous condensers to offset reactive power from inductive loads. Power factor correction reduces reactive power losses, increases power system efficiency, and lowers electricity costs. Utilities charge penalties for power factors below 0.85 or 0.90 in commercial and industrial installations.

How Power Factor Affects Equipment Sizing

Low power factor increases the total power demand (kVA) that electrical equipment must handle. A 100 kW load at 0.70 PF requires 143 kVA of generator capacity. The same 100 kW load at 0.95 PF requires only 105 kVA. Lower power factor means larger generators, heavier transformers, and thicker cables — all increasing equipment power ratings and costs.

Power Factor Effect Calculator

Adjust the power factor to see how it changes kW output from a fixed kVA source.

kVA
0.80
Real Power Output:80.00 kW
0 kW100 kW

kW = 100 kVA × 0.80 PF = 80.00 kW

Understanding the Power Triangle

The power triangle is a right triangle that shows the relationship between kVA, kW, and kVAR in an AC power system.

Relationship Between kVA, kW, and kVAR

kVA (apparent power) is the hypotenuse. kW (real power) is the base. kVAR (kilovolt-ampere reactive) is the vertical side. The mathematical relationship:

kVA² = kW² + kVAR²

The angle θ between kVA and kW represents the phase angle, and cos(θ) equals the power factor.

Apparent, Real, and Reactive Power

3 types of power exist in AC circuits:

Apparent Power (kVA)

Total power in the electrical system, measured in kilovolt-amperes. Apparent power is the vector sum of real and reactive power.

Real Power (kW)

Actual usable power performing work, measured in kilowatts. Real power drives motor loads, heating, and lighting.

Reactive Power (kVAR)

Power that sustains magnetic and electric fields without doing work, measured in kilovolt-ampere reactive. Caused by inductive and capacitive loads.

How Power Factor Fits Into the Power Triangle

Power factor is cos(θ) — the cosine of the angle between the kVA hypotenuse and the kW base. When power factor increases toward 1.0, the angle θ shrinks toward 0°, kVAR decreases, and kW approaches kVA. When power factor decreases, θ increases, kVAR grows, and more apparent power becomes reactive power.

The Power Triangle

kW (Real Power)kVARkVA (Apparent)θkVA² = kW² + kVAR² | PF = cos(θ) = kW ÷ kVA

kVA to kW for Single-Phase and Three-Phase Power

The kVA to kW conversion formula (kW = kVA × PF) applies to both single-phase and three-phase power systems.

Single-Phase kVA to kW

Single-phase kVA to kW conversion: kW = kVA × PF.

Single-phase kVA calculation from voltage and current: kVA = (Volts × Amps) ÷ 1,000. For a supply on one phase, use the dedicated single-phase kVA to kW calculator.

A single-phase 50 kVA transformer at 0.85 PF:
kW = 50 kVA × 0.85 PF
kW = 42.5 kW of real power
Single-Phase AC WaveformkVA = (V × I) ÷ 1,000

Is the Formula Different for Three-Phase Power?

No, the kVA to kW formula is the same for single-phase and three-phase systems. kW = kVA × PF works in both cases. The difference is in how kVA is calculated from voltage and current. Single-phase uses kVA = V × I ÷ 1,000. Three-phase uses kVA = √3 × V × I ÷ 1,000. Once you have the kVA value, multiply by power factor to get kW regardless of the phase configuration.

kVA to kW Conversion Chart

Common kVA to kW conversions at different power factors. Select a power factor to view the conversion table.

The kVA to kW conversion chart below shows real power (kW) and reactive power (kVAR) for standard kVA values at common power factor values. Use these tables for preliminary load screening and quick reference during generator sizing, transformer sizing, and UPS sizing.

kVA to kW at 0.8 Power Factor

At power factor 0.80, each kVA delivers 0.80 kW of real power. This is the standard assumption for commercial and industrial electrical load calculations.

kVA to kW at 0.9 Power Factor

At power factor 0.90, each kVA delivers 0.90 kW — a 12.5% improvement in real power output compared to 0.80 PF.

kVA to kW at 1.0 Power Factor

At unity power factor (1.0), kVA equals kW. Zero reactive power exists. This applies to purely resistive loads.

kVA to kW conversion chart at 0.80 power factor
kVA (Apparent Power)Power FactorkW (Real Power)kVAR (Reactive Power)
5 kVA0.804 kW3 kVAR
10 kVA0.808 kW6 kVAR
15 kVA0.8012 kW9 kVAR
20 kVA0.8016 kW12 kVAR
25 kVA0.8020 kW15 kVAR
30 kVA0.8024 kW18 kVAR
40 kVA0.8032 kW24 kVAR
50 kVA0.8040 kW30 kVAR
62.5 kVA0.8050 kW37.5 kVAR
75 kVA0.8060 kW45 kVAR
100 kVA0.8080 kW60 kVAR
125 kVA0.80100 kW75 kVAR
150 kVA0.80120 kW90 kVAR
200 kVA0.80160 kW120 kVAR
250 kVA0.80200 kW150 kVAR
300 kVA0.80240 kW180 kVAR
400 kVA0.80320 kW240 kVAR
500 kVA0.80400 kW300 kVAR
625 kVA0.80500 kW375 kVAR
750 kVA0.80600 kW450 kVAR
1,000 kVA0.80800 kW600 kVAR
1,250 kVA0.801,000 kW750 kVAR
1,500 kVA0.801,200 kW900 kVAR
2,000 kVA0.801,600 kW1,200 kVAR
2,500 kVA0.802,000 kW1,500 kVAR

kW to kVA Conversion

To convert kW to kVA, divide the kW value by the power factor.

kW to kVA Formula

The kW to kVA conversion formula is:

kVA = kW ÷ Power Factor

This is the reverse of the kVA to kW formula. Use kW to kVA conversion when sizing generators, transformers, or cables based on known real power requirements and load power factor. Run the numbers with the kW to kVA converter.

kW to kVA Calculation Example

Convert 80 kW to kVA at 0.80 power factor:

kVA = kW ÷ PF
kVA = 80 ÷ 0.80
kVA = 100 kVA

80 kW of real power at 0.80 power factor requires 100 kVA of apparent power capacity. This is the minimum generator or transformer kVA rating needed.

kW to kVA Calculator

kW
PF
Apparent Power:100.00 kVA
kVA = 80 kW ÷ 0.80 PF = 100.00 kVA

kVA, kW, kVAR, and kWh Explained

4 units describe different aspects of electrical power in AC and DC systems.

Relationship Between kVA, kW, and kVAR

kVA, kW, and kVAR form the power triangle. kVA is the total (apparent power), kW is the useful portion (real power), and kVAR is the non-working portion (reactive power). The formula: kVA² = kW² + kVAR².

kW vs kWh

kW measures power — the rate of energy use at a given moment. kWh (kilowatt-hour) measures energy — the total amount of power consumed over time. The formula: kWh = kW × hours. A 10 kW load running for 5 hours consumes 50 kWh of energy. Electricity costs are based on kWh consumption, not kW. Work out consumption with the kW to kWh calculator.

Can kVA Be Converted to kWh?

Yes, convert kVA to kWh in 2 steps:

Step 1: Convert kVA to kW → kW = kVA × PF
Step 2: Multiply kW by hours → kWh = kW × hours
Example: 100 kVA × 0.80 PF × 10 hours = 800 kWh

Power Unit Relationships

kVAApparentkWRealkVARReactivekWhEnergy× PFsin(θ)kVA² = kW² + kVAR²× hours

kVA and kW for Generators, Transformers, and UPS

Generator kVA vs kW Ratings

Generators display both kVA and kW ratings on the nameplate. The kVA rating shows the generator's total power output capacity. The kW rating shows the maximum real power the generator delivers. Generator kVA to kW: multiply the generator's kVA rating by its rated power factor. A 500 kVA diesel generator at 0.80 PF delivers 400 kW of real power.

Why Generators Are Rated in kVA

Generators are rated in kVA because the generator's alternator must handle the total current, which includes both real and reactive components. The generator's physical capacity (winding temperature, insulation limits) depends on total current (amps), not just real power. Generator loading varies based on the connected load's power factor, which the manufacturer cannot predict. Check that current draw with the kVA to amps converter.

Diesel Generator

Rating:500 kVA
Power Factor:0.80
Real Power:400 kW

Standard commercial/industrial generator. Generator power factor is typically 0.80.

Transformer

Rating:1000 kVA
Load PF:0.85
Real Power:850 kW

Transformer kVA ratings depend on total apparent power. Transformer utilization varies with connected load power factor.

UPS System

Rating:10 kVA
Power Factor:0.90
Real Power:9 kW

Modern UPS output capability at 0.90 PF. UPS kVA and kW ratings are on the manufacturer specification sheet.

Choosing the Right Generator Size

To choose the right generator size, follow these 5 steps:

  1. Calculate the total real power demand (kW) of all connected loads
  2. Determine the lowest expected load power factor from manufacturer data or an electrical load study
  3. Calculate required kVA: kVA = Total kW ÷ Power Factor
  4. Add 20–25% design margin for motor starting current and transient generator response
  5. Select a generator with a kVA rating above the calculated value

Transformer kVA Ratings

Transformers are rated in kVA because transformer utilization depends on total apparent power, not real power. Transformer heating is proportional to current, and current depends on kVA. To find the real power a transformer delivers: kW = Transformer kVA × Load Power Factor. To express that output in watts, use the kVA to watts calculator. Large units are quoted in megavolt-amperes instead — see the kVA to MVA converter.

UPS kVA and kW Ratings

UPS (Uninterruptible Power Supply) systems list both kVA and kW ratings. UPS output capability in kW depends on the UPS power factor. Most modern UPS systems operate at 0.90 or higher power factor. A 10 kVA UPS at 0.90 PF provides 9 kW of real power output. For the same figure in watts, use the kW to watts converter.

Equipment Sizing With kVA and kW

Electrical equipment sizing requires both kVA and kW values. Use kW for calculating actual power consumption and electricity costs. Use kVA for sizing generators, transformers, cables, and protection devices. Always use measured project data or manufacturer specification for the load power factor rather than assumptions. For motor-driven plant, convert the duty with the kW to horsepower calculator. For heating and cooling loads, use the kW to BTU/hr converter.

Other Electrical Power Conversions

kVA to Amps

Convert kVA to amps using voltage:

Single-phase: Amps = (kVA × 1,000) ÷ Volts
Three-phase: Amps = (kVA × 1,000) ÷ (√3 × Volts)

Example: 100 kVA single-phase at 240 volts = (100 × 1,000) ÷ 240 = 417 amps. Working back to the supply voltage instead? Use the kW to volts converter.

Amps to kVA

Convert amps to kVA using voltage:

Single-phase: kVA = (Volts × Amps) ÷ 1,000
Three-phase: kVA = (√3 × Volts × Amps) ÷ 1,000

Example: 200 amps at 480 volts three-phase = (1.732 × 480 × 200) ÷ 1,000 = 166.3 kVA. For real power from a clamp-meter reading, use the amps to kW calculator.

kVA to Amps Calculator

kVA
V
Current:416.7 Amps
Amps = (100 × 1,000) ÷ 240 = 416.7 Amps

Common kVA to kW Calculation Mistakes

5 common mistakes occur when converting kVA to kW. Click each card to see the correct approach.

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Frequently Asked Questions About kVA to kW

Quick answers to the most common questions about kVA to kW conversion, power factor, and equipment sizing.

The formula to convert kVA to kW is: kW = kVA × Power Factor (PF). Multiply the apparent power in kilovolt-amperes by the power factor to get real power in kilowatts. The power factor is a value between 0 and 1 that represents the ratio of real power to apparent power.

1 kVA equals 0.80 kW at 0.80 power factor (the standard commercial assumption). At unity power factor (1.0), 1 kVA equals exactly 1 kW. The kW value depends on the power factor: 1 kVA × 0.70 PF = 0.70 kW; 1 kVA × 0.90 PF = 0.90 kW; 1 kVA × 1.00 PF = 1.00 kW.

No, kVA is not equal to kW unless the power factor is 1.0 (unity). kVA measures apparent power (total power in the circuit), and kW measures real power (usable power that does work). In most AC electrical systems, the power factor is less than 1.0, so kVA is always greater than kW. For resistive loads with unity power factor, kVA equals kW.

Use 0.80 as a standard estimate for commercial and industrial loads. Residential loads typically range from 0.85 to 0.95. Purely resistive loads (electric heaters, incandescent lighting) use 1.0. Motor-heavy industrial environments use 0.70 to 0.85. Check the equipment nameplate, manufacturer specification, or an electrical load study for the exact power factor.

To convert kW to kVA, divide kW by the power factor: kVA = kW ÷ PF. Example: 80 kW ÷ 0.80 PF = 100 kVA. This reverse conversion is used for generator sizing and transformer sizing based on known real power requirements.

Yes, kW = kVA × PF applies to both single-phase and three-phase power systems. The difference is in how kVA is calculated from voltage and current: single-phase uses kVA = (V × I) ÷ 1,000, and three-phase uses kVA = (√3 × V × I) ÷ 1,000. Once the kVA value is known, multiply by power factor to get kW in both cases.

Generators are rated in kVA because the alternator must handle total current, which includes both real and reactive components. The generator's winding temperature and insulation limits depend on total current (amps), not real power (kW). The actual kW output depends on the load power factor, which varies based on the connected electrical load.

kVAR (kilovolt-ampere reactive) measures reactive power — power that oscillates between the source and load without doing useful work. kVA, kW, and kVAR form the power triangle: kVA² = kW² + kVAR². kVA is the hypotenuse, kW is the base, and kVAR is the vertical side. Reactive power is caused by inductive loads (motors, transformers) and capacitive loads.

Yes, convert kVA to kWh in 2 steps. First, convert kVA to kW: kW = kVA × PF. Then, multiply kW by the number of hours: kWh = kW × hours. Example: 100 kVA at 0.80 PF running for 10 hours = 80 kW × 10 hours = 800 kWh of energy consumption.

No, improving power factor does not increase kW output from a load. Power factor correction reduces reactive power (kVAR), which lowers the total apparent power demand (kVA). The real power (kW) consumed by the load stays the same, but the electrical system operates more efficiently with reduced capacity requirements and lower reactive power losses.