14.4.3 Example

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Example
When connected to a three-phase motor, two
wattmeters gave readings of 5 kW and—1 kW.

Ptotal = W1 + W2
Ptotal = (—1000) + 5000 = 4000
Ptotal = 4 kW

tan Φ = √3 x
5 - (-1)

5 + (-1)

tan Φ = √3 x
6

4

tan Φ = √3 x
1.5 = 2.598

Φ = 68.9⁰

So as, the power factor (pf) = Cos Φ

Cos Φ = Cos 68.9⁰ = 0.3599 = 0.36

Power factor = 0.36.

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14.4.3 Example

1. Example When connected to a three-phase motor, two wattmeters gave readings of 5 kW and—1 kW.

2. Ptotal = W1 + W2 Ptotal = (—1000) + 5000 = 4000 Ptotal = 4 kW

3.

4. tan Φ = √3 x 5 - (-1) 5 + (-1) tan Φ = √3 x 6 4 tan Φ = √3 x 1.5 = 2.598 Φ = 68.9⁰

5. So as, the power factor (pf) = Cos Φ Cos Φ = Cos 68.9⁰ = 0.3599 = 0.36 Power factor = 0.36.