Question

in a transformer,the core loss is 100 watt at 40 hz and 72 watt at 30 hz.find the the hystersis and eddy current losses at 50 hz.​

Answer 1

Core loss=hysteresis loss+eddy current loss

Hysteresis loss (Wh) is directly proportional to frequency (f) .Eddy current loss(We) is directly proportional to (f²).

Wh=Kh.f

We=Ke.f²

Wc=Wh+We =Kh. f+Ke.f²

100=Kh(40)+Ke(40)² ………………(1)

72=Kh(30)+Ke(30)² …………………(2)

Solving (1) &(2)

Ke=.01

Kh=2.1

Therefore,

At 50 Hz,

Wh=Kh.f =2.1(50)=105W

We=Ke.f²=.01(50)²=25W

Wc=Wh+We =105+25=130W




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