A three-phase alternator is operating at 450 volts, delivering 250 amps at 0.6 power factor. If the power factor increases to 0.8, how much of an increase will there be in the kilowatt load?
ā¢ Three-phase power formula for real power (kW) using line voltage, line current, and power factor ā¢ Relationship between power factor (pf) and real power when voltage and current stay constant ā¢ How to convert from watts to kilowatts and compare two power values
ā¢ What is the formula for three-phase real power using voltage, current, and power factor? Plug in the original power factor (0.6) to find the initial kW. ā¢ Using the same voltage and current, recalculate the real power with the new power factor (0.8). How does this change affect the power value? ā¢ After you have both power values (initial and final), what is the difference between them in kW, and which choice is closest to that increase?
ā¢ Be sure to include ā3 in the three-phase power formula if using line-to-line voltage. ā¢ Check that you are using line voltage (450 V) and line current (250 A) directly, not per phase values. ā¢ After finding the increase in watts, divide by 1000 to convert to kW before comparing to the answer choices.
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