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The area of the hysteresis loop obtained with a certain specimen of iron was 9.3 cm2 . The coordinates were such that 1 cm = 1,000 AT/m and 1 cm = 0.2 Wb/m2 . Calculate (a) the hysteresis loss per m3 per cycle and (b) the hysteresis loss per m3 at a frequency of 50 Hz if the maximum flux density were 1.5 Wb/m2 (c) calculate the hysteresis loss per m3 for a maximum flux density of 1.2 Wb/m2 and a frequency of 30 Hz, assuming the loss to be proportional to . B1.6max |
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Answer» (a) Wh = xy × (area of B/H loop) = 1,000 × 0.2 × 9.3 = 1860 J/m2 /cycle (b) Wh = 1,860 × 50 J/s/m3 = 93,000 W/m3 (c) Wh = B1.8max fV W For a given specimen, Wh B1.8max In (b) above, 93,000 α 1.51.8 × 50 and Wh α 1.21.8 × 30 ∴ Wh/93,000 = (1.2/1.5)1.8 x 30/50; Wh = 93,000 x 0.669 x 0.6 = 37.360 |
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