When alternating current is superposed on direct current magnetization, the actual permeability on the alternating current side may be taken to be practically equal to the incremental permeability of the iron core under superposition as is shown by T. Spooner.
(3) Starting from this point of view, a method for calculating incremental permeability is given in the present paper. The relation between the incremental permeability and the hysteresis lcop is first considered. By representing the descending part of the hysteresis loop in the same form of equation as givenl by E. A. Watson
(6), a formula for the incremental permeability is derived:
μ
Δ=a
0×1/1-b
0×ΔHH……(17)
Or =a
0+b
0ΔB……(18)
where a
0=B
mH
c(B
m-B
r)/B
rH
m(H
m+H
c)……(15)
and b
0=B
rH
m-H
c(B
m-B
r)/B
rH
m(H
m+H
c)……(16)
B
m, B
r and H
c in the above equations denote respectively the maximum flux density, the residual induction, and the coercive force of the hysteresis loop corresponding to the maximum magnetizing force H
m acting on the core under superposition. They are all of constant values for any particular core material under consideration.
Then a comparison is made between the formula given by T. Spooner and the results of the authers experiments. It is pointed out that the former gives only approximate mean values for different kinds of magnetic material, and that when any but very rough approximate accuracy is required, it is necessary and more convenient to have a
0 and b
0 calculated by the authers method for the individual materials and apply their values for the case under consid eration. Finally curves of a
0 and b
0 for two commercial core materials are given.
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