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Generator current calculator

Full load and fault current of a generator from its kVA.

No standard

Inputs

A worked example with the default inputs.

Rating
100 kVA
Phases
Three phase
Voltage
400 V
Power factor
0.8
Subtransient reactance
15 %

Full load current

144.34A

Real power
80kW
Fault current
962.25A

This result is a design aid. Verify it against the current standard.

Calculation steps

  1. Full load currentResult144.34A
  2. Real power80kW
  3. Fault current962.25A

About this calculator

How this is calculated

The tool works from the kVA rating on the generator nameplate. It gives the full load current, the real power and the fault current at the terminals. The steps are plain circuit arithmetic. The tool reads no Standard table.

  1. Apparent power. You enter the rating in kVA. The tool converts it to VA.
  2. Full load current. On three phases the tool divides the VA by √3 times the line voltage. On one phase it divides by the voltage.
  3. Real power. It multiplies the kVA by the power factor you enter. The result is in kW.
  4. Fault current. It divides the full load current by the subtransient reactance, as a fraction. This is the first-cycle symmetrical value.
StepBasisWhat it decides
Full load currentI = S / (√3 × V)The current at rated output
Real powerP = S × power factorThe load the engine must drive
Fault currentI / X″dThe first-cycle fault level at the terminals

Worked example

A 200 kVA set at 400 V on three phases has a power factor of 0.8. Its subtransient reactance is 15 %. The full load current is 288.68 A. The real power is 160 kW. The fault current is 1,924.5 A.

Limits

  • The fault current is the initial symmetrical value only. It ignores the decay to the transient and synchronous values.
  • It ignores any excitation limit. A few cycles in, the real current is much lower.
  • The tool does not size the generator for motor starting or step loads.
  • It does not size the cable or the protective device. Use the cable size calculator for the cable.
  • The subtransient reactance comes from the maker data sheet. No default fits every set.

See also: Generator fault current from the subtransient reactance, Generator full load current from kVA and the fault level calculator.

Questions

The result is a design aid. Verify against the current standard.

What does the generator calculator do?

The tool reports the full load current, the real power output and the fault current of an alternator. It works from the rating in kilovolt amperes, the voltage, the phase count, the power factor and the subtransient reactance.

Which inputs matter most?

The rating and the voltage set the full load current. The power factor sets the real power in kilowatts. The subtransient reactance sets the fault current, which defaults to 15 % in the tool. A lower reactance gives a higher fault current.

What are the common gotchas?

The fault current is the initial subtransient value, taken as the full load current divided by the per unit reactance. Use the machine test sheet value when you have one. Cable impedance is not included. The inputs sit in the page address, so a link reproduces the result.

Worked examples

Background

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