Modeling and Simulation of Simple Flux-Trapping FCGs Utilizing PSpice Software

Abstract

A novel modeling and simulation method for fluxtrapping flux-compression generators (FT-FCGs) is presented, which utilizes PSpice circuit-simulation software to solve complex differential equations derived from circuit analysis. The primary motivation for the model development is the desire for a technique to rapidly design and prototype FT-FCGs for use as drivers in high-power microwave sources. The derivation of FT-FCG equations will be given, both in the ideal (lossless) and nonideal cases. For the nonideal case, three flux conservation coefficients are added to the equations to account for intrinsic flux loss in the circuit. Time-varying inductance curves are calculated using zero-dimensional models found in literature and adapted to fit this model. A simple FT-FCG design is used as an example to show the steps taken to complete a simulation. The same design was also fabricated and tested for comparison with predicted results from the model. A comparison of the waveforms acquired through simulation and experiment was found to result in good agreement for a given set of values for the flux conservation coefficients. A discussion of the derived equations, both lossless and nonideal, is given, as well as a discussion on the investigation of the impact of the three flux constants on the circuit. Analysis is offered on the results of this investigation, and conclusions are given on the effectiveness of this model to predict FT-FCG behavior.

An Extensive Tensor Algebraic Model of Transformer

“…Here, 3 recent transformers, CMOS gyrator-C based on-chip monolithic active transformer [7], dynamic transformer for flux-trapping flux-compression generator (FT-FCG) [16], and fractional-order mutual inductance, have been chosen. These transformers respectively have frequency dependent parameters, time dependent parameters, and fractional impedances.…”

“…Consider the candidate dynamic transformer which has a single input and single output [16]. It can be seen that N = 1 and M = 1 for this transformer.…”

“…7 where the dynamic transformer is composed of the stator coil and field coil which respectively serve as the secondary and primary winding. Since this transformer has bidirectional coupling, we have Z mSP 11k = 0 (38) Z mP S 11k = 0 (39) Fig.7: The schematic diagram of FT-FCG (A) armature, (B) stator coil, (C) filed coil [16].…”

“…Therefore this traditional approach works well with a conventional transformer which employs linear impedance functions and constant circuit parameters. Unfortunately this is not applicable to many recently developed transformers including onchip monolithic transformers of both passive and active types [1]- [13], dynamic transformers [14]- [16] and those with fractional impedances which is termed the fractional-order mutual inductance [17]. These recently developed transformers have been applied in many electronic circuits [2]- [13], [17].…”

Fast modeling of flux trapping cascaded explosively driven magnetic flux compression generators

“…Even there are a few methods for this kind of FCGs, most of them are either complex or time consuming for simulation. [2][3][4][5][6][7] Therefore, the purpose of this paper is to present a simple simulation model in full detail for flux trapping cascaded FCGs, which can provide a fast and relatively accurate prediction for design purpose.…”