𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear circuits with hysteresis

✍ Scribed by Nelson Wax

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
884 KB
Volume
327
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis

The complete solution of the dynamical equations is obtained for lumped electrical circuits containing iron-cored inductors subject to magnetic hysteresis, as described by Preisach. The states of the system are shown to be continuous piecewise smooth functions of time if the applied voltages and currents are likewise smooth, whatever the initial magnetic histories of the inductors may have been. SufJicient conditions are derived for the existence of periodic, particularly subharmonic, forced solutions for the states of the circuits, not only for the Preisach model but also for a wide class of other models of hysteresis.

πŸ“œ SIMILAR VOLUMES

Nonlinear resonance in systems with hyst
Nonlinear resonance in systems with hysteresis
✍ P.-A. Bliman; A.M. Krasnosel'skii; M. Surine; A.A. Vladimirov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 969 KB
Stability of uncertain systems with hyst
Stability of uncertain systems with hysteresis nonlinearities
✍ Ulf JΓΆnsson πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 282 KB πŸ‘ 2 views

Stability of systems with hysteresis nonlinearities, parametric uncertainty and finite dimensional unmodelled dynamics is considered. Conditions for exponential decay of the signals in the system to an equilibrium position are given. The equilibrium is generally not unique. The stability condition i

The power consumed by a strongly nonline
The power consumed by a strongly nonlinear element with a hysteresis characteristic fed via a periodically driven LC circuit
✍ Emanuel Gluskin πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 501 KB

ARSTRACT : A simple algorithm, consisting of several analytical iterations, for jinding the voltage and current.functions qf a strongly nonlinear element with a hysteresis volta,gegelcurrent characteristic .fird via an asymptotically inductive LC circuit is suggested. The ,formula .ftir the average