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Three Phase Two Wattmeter Method-2

The two-wattm...

Question

The two-wattmeter method is used to measure power in a balanced 3-phase circuit, drawing lagging current. The power factor, if one of the wattmeter reads zero is

A

0.5

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B

0.8

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C

1.0

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D

0.0

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Solution

The correct option is A 0.5
$P o w e r f a c t o r = c o s ϕ$

$= c o s t a n^{- 1} \sqrt{3} \frac{(W_{1} - W_{2})}{(W_{1} + W_{2})}$

When one of the two wattmeters reads zero.

$i . e . s a y W_{2} = 0$

then,
$c o s ϕ = c o s t a n^{- 1} \sqrt{3} \frac{(W_{1} - 0)}{(W_{1} + 0)}$

$= c o s t a n^{- 1} \sqrt{3}$

$= c o s t a n^{- 1} (1.73) = 0.5$

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