Time-domain simulation of mixed nonlinear magnetic and electronic systems

Abstract

Abstract-This paper describes a technique for the simulation of complex magnetic systems intimately connected to any necessary drive electronics. The system is split into two Kirchhoffian domains, one magnetic and one electric. Two-way interaction between the domains is supported by a virtual device called a magnetoelectric differential gyrator. With this technique, arbitrarily complex, nonlinear, hysteretic magnetic systems may be simulated in the time domain, coupled to any appropriate nonlinear electronics, at a fraction of the cost of a comparable finite-element calculation. The capabilities of the system are demonstrated by the simulation of a feedback-controlled current-sensing system, and the simulation tracks the measured behavior of the system well outside its linear region, to the point that the nonlinear hysteretic core is being driven into and out of saturation, a consequence of a time delay inherent in the electronics. This is compared with a "conventional" electronic simulation of the same system, and the increased accuracy of this technique is clearly demonstrated.

Implementation of a network model of hysteresis

“…[11]. Other interface components and different definition of through variables can be devised [11], but this one seems to be the most stable one for numerical implementation. The use of integral values of magneto-motive force and flux requires the definition of some normalization constants which are dependent on the geometry of the core to translate the global ðf ; jÞ values in the local ðh; bÞ ones and this can be performed by using suitable voltage and current dependent sources.…”

“…The interface between the two interacting domains is made by the magneto-electric differential gyrator whose electric scheme and defining equations are reported in Ref. [11]. Other interface components and different definition of through variables can be devised [11], but this one seems to be the most stable one for numerical implementation.…”

“…A deep analysis of this topic can be found in Ref. [11]. The interface between the two interacting domains is made by the magneto-electric differential gyrator whose electric scheme and defining equations are reported in Ref.…”

HDL Models of Ferromagnetic Core Hysteresis Using Timeless Discretisation of the Magnetic Slope

“…Practical implementation of the JA model is not straightforward as it involves numerical integration of a discontinuous and non-linear differential equation. In addition, the model in its original form can sometimes produce a hysteresis curve with negative slopes for which there is no physical justification [1]. Also, there have been claims that the JA model suffers from convergence problems and long analysis times.…”

Low-Order Dynamic Magnetic Equivalent Circuits of Saturated Steel Laminations

“…concentric zones, each carrying flux perpendicular to the zone and behaving as a current sheet circulating around the Keywords -Eddy Current, Electrical Machines, Lamination, cross section (Fig. 2 (c)) [7]. Each zone is modeled as a Magnetic-equivalent circuit, Nonlinear order-reduction, Satmagnetic-domain R-L pair (Fig.…”