Question 7.16: The total core loss of a specimen of silicon steel is found ...

The total core loss of a specimen of silicon steel is found to be 1500 W at 50 Hz. Keeping the flux density constant, the loss becomes 3000 W when the frequency is raised to 75 Hz. Calculate separately the hysteresis and eddy-current loss at each of these frequencies.

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P_{L} = Aƒ + Bƒ² = P_{h}  + P_{e}  ;  B_{max} constant
P_{L} / ƒ = A + Bƒ
1500/50 = A + 50 B                         (i)
3000/75 = A + 75 B                         (ii)

Solving Eqs. (i) and (ii), we get

A = 10, B = 2/5

At 50 Hz,

P_{h} = 10 × 50 = 500 W, P_{e} = (2/5) × (50)² =1000 W

At 75 Hz

P_{h} = 10 × 75 = 750 W, P_{e} = (2/5) (75)² = 2250 W

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