The hysteresis and eddy current loss in dc machines running at 1000rpm is 500W and 300W respectively. At what speed will the total iron loss be one-fourth keeping the flux constant.

The hysteresis and eddy current loss in dc machines running at 1000rpm is 500W and 300W respectively. At what speed will the total iron loss be one-fourth keeping the flux constant.

Right Answer is:

333.34 rpm

SOLUTION

Hystresis Losses

Ph ∝ K1n

Eddy current Losses

Pe ∝ K1n2

Total loss = 500 + 300 = 800W

One fourth of the total losses = 800/4 = 200w

$200 = \left( {\frac{{500}}{{1000}}} \right)n + \left( {\frac{{300}}{{{{1000}^2}}}} \right){n^2}$

 

n = 333.34 rpm

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