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Computation of flux switching in magnetic circuits

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1 Author(s)
Nitzan, D. ; Stanford Research Institute, Menko Park, Calif.

A number of physical and semiempirical flux-switching models that have appeared in the literature are reviewed briefly and classified. A thin ferrite core is switched by essentially a step mmf (with short rise time Tr). Three components of the totaldot{phi}(t)are distinguished and semiempirical models are proposed for each : 1) an initial elasticdot{phi}spike during the rise time ofF, dot{phi}_{epsilon} = epsilondot{F}, where ε is constant in time; 2) a decaying inelasticdot{phi}starting att cong T_{r},dot{phi}_{rho i} = rho_{i}(F - F_{d}^{min}) exp [-(t - T_{r})(F - F_{d}^{min})/C_{i}], where ρiand Ciare constants in time andF_{d}^{min}is the static mmf threshold; and 3) the bell-shaped, main inelasticdot{phi}, dot{phi} = dot{phi}_{p}{1 - [(2phi + phi_{s} - phi_{d})/(phi_{s} + phi_{d})]^{2}}, where, for givenF , phi_{p}is the peak ofdot{phi}, phi_{d}is the φ value on the staticphi(F)curve, and φsis saturation flux. Expressions involving switching parameters are given forepsilon, dot{phi}_{p}, and φd. The agreement between these models andphi(t)of a thin core is satisfactory. The main-dot{phi}model is applied in a numerical analysis of three magnetic circuits: an unloaded core, a core loaded byR, L, C, and a diode, and a core-diode shift register. The agreement between computed and experimental results is satisfactory, especially if different parameters are used for computing step-Fand ramp-Fswitching.

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Magnetics, IEEE Transactions on  (Volume:1 ,  Issue: 3 )