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Application Manual – Liquid Cooled Generator Sets<br />

APPENDIX D<br />

Useful<br />

Formulas<br />

TO OBTAIN: SINGLE–PHASE AC POW-<br />

ER<br />

kilowatts (kW) Volts x Amps x PF<br />

1000<br />

kVA Volts x Amps<br />

1000<br />

Amps p ( (kVA unknown) )<br />

Amps p (kW ( unknown) )<br />

Frequency q y (Hertz) ( )<br />

kW x 1000<br />

Volts x PF<br />

kVA x 1000<br />

Volts<br />

# poles x rpm<br />

120<br />

THREE–PHASE AC POW-<br />

ER<br />

VoltsxAmpsxPFx1.732<br />

1000<br />

Volts x Amps x 1.732<br />

1000<br />

kW x 1000<br />

Volts x PF x 1.732<br />

kVA x 1000<br />

Volts x 1.732<br />

# poles x rpm<br />

120<br />

Reactive Power ( (kVAR) )<br />

– –<br />

Volts x Amps x 1 PF2 � Volts x Amps x 1.732 x 1 PF<br />

1000<br />

2 �<br />

1000<br />

% Voltage g regulation g<br />

(f (for steady t d loads, l d from f<br />

No–Load to Full–Load)<br />

–<br />

�<br />

–<br />

VNL VFL � x 100<br />

V FL � x 100 � V NL V FL<br />

% Frequency q y Regulation g<br />

– –<br />

(f (for steady t d loads l d from f<br />

No–Load to Full–Load) �FNL FFL � x 100<br />

Horsepower p required q<br />

tto ddrive i a generator t<br />

kW<br />

0.746 X Generator Efficiency<br />

First cycle y RMS short cir-<br />

cuit it<br />

current (±10%)<br />

D–2 APPENDIX D<br />

Rev. Jan 2011<br />

V FL<br />

F FL � x 100 � F NL F FL<br />

Rated Amperes<br />

pu X��d<br />

F FL<br />

kW<br />

0.746 X Generator Efficiency<br />

Rated Amperes<br />

pu X��d<br />

• “PF” refers to power factor, which is expressed as a decimal fraction. For example,<br />

80% power factor = 0.8 for the purposes of calculations. In general, single–phase<br />

generator sets are rated at 100% power factor and three–phase generator sets at<br />

80% power factor.<br />

• “Volts” refers to line–to–line voltage.<br />

• “Amps” refers to line current in amperes.<br />

• “F” refers to frequency. 0% frequency regulation is defined as isochronous.

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