COMPLEMENTARITY IN NONLINEAR MAGNETOSTATICS: BILATERAL BOUNDS ON THE FLUX‐CURRENT CHARACTERISTIC Available to Purchase

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 J—F plane. We wish to determine this curve, for a given non‐linear b—h law. Standard numerical analysis only allows one to plot some points of the J—F curve, with an error which depends on the grade of the finite‐element 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 J—F plane within which the characteristic surely lies.