Practical values of power factor

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The calculations for the three-phase example above are as follows:

Pn = delivered shaft power = 51 kW
P = active power consumed

S = apparent power

So that, on referring to diagram Figure L5 or using a pocket calculator, the value of tan φ corresponding to a cos φ of 0.86 is found to be 0.59

Q = P tan φ = 56 x 0.59 = 33 kvar

Alternatively:


FigL05.jpg

Fig. L5: Calculation power diagram



Average power factor values for the most commonly-used equipment and appliances

(see Fig. L6)


Equipment and appliances cos φ tan φ
  • Common induction motor
loaded at

0%

25%

50%

75%

100%

0.17

0.55

0.73

0.80

0.85

5.80

1.52

0.94

0.75

0.62

  • Incandescent lamps
  • Fluorescent lamps (uncompensated)
  • Fluorescent lamps (compensated)
  • Discharge lamps
   

1.0
0.5
0.93
0.4 to 0.6

0
1.73
0.39
2.29 to 1.33

  • Ovens using resistance elements
  • Induction heating ovens (compensated)
  • Dielectric type heating ovens
   

1.0
0.85
0.85

0
0.62
0.62

  • Resistance-type soldering machines
  • Fixed 1-phase arc-welding set
  • Arc-welding motor-generating set
  • Arc-welding transformer-rectifier set
   

0.8 to 0.9
0.5
0.7 to 0.9
0.7 to 0.8

0.75 to 0.48
1.73
1.02 to 0.48
1.02 to 0.75

  • Arc furnace
    0.8 0.75

Fig. L6: Values of cos φ and tan φ for commonly-used equipment

Personal tools