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The relation between the flux F in a magnetic circuit and the driving current J, or characteristic of the circuit, is described by a curve in the principal quadrant of the JF plane. We wish to determine this curve, for a given nonlinear bh law. Standard numerical analysis only allows one to plot some points of the JF curve, with an error which depends on the grade of the finiteelement mesh, and on which only asymptotic estimates are known. We show that one can do much better one can sandwich the characteristic, i.e., define a narrow strip in the JF plane within which the characteristic surely lies.
COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Jan 1, 1992
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