|icc_2006.pdf||2006-03-10 12:32:25||Thomas Awe|
Magnetic Field and Inductance Calculations in Theta-Pinch and Z-Pinch Geometries
Author: Thomas J Awe
Submitted: 2006-01-12 13:45:46
Co-authors: R.E. Siemon, B.S. Bauer, S. Fuelling, V. Makhin T. Intrator, S. Hsu
University of Nevada, Reno
1664 North Virginia Street
Reno, NV 89557
Two codes have been developed at the University of Nevada Reno which model solid metal or wire-wound conductors by assuming arrays of thin-wire loops. The first code applies to the formation and translation of an FRC plasma, where theta coils are used both to create the plasma, and to generate translation fields. Shielding is required to suppress large voltage transients and protect sensitive components. The resulting field involves driven currents in the theta coils and eddy currents in the shielding structures. Our two-dimensional r-z code calculates eddy current induction, resistive diffusion, and the resultant magnetic field of cylindrically symmetric conductors. We use fast and accurate elliptic integral subroutines from MATLAB to solve for the time dependent current flowing through each loop and the resultant magnetic field configuration. We will show computational results for FRX-L hardware design at Los Alamos National Laboratory.
The second code calculates fields and inductances for conductors in a z-pinch geometry. The two-dimensional r-theta code was written to help with design of a flux compression experiment to be done at the Atlas pulsed power facility. In this experiment, shunt inductors will divert a portion of the main bank current onto a hard core inside the liner. The liner will then be imploded, compressing the injected flux. The code calculates the shunt inductance, the mutual inductance between the shunt inductors and the hard core, and the resultant current division of the system. Numerical results will be compared to data obtained from a small pulsed power system that drives a prototypical inductive divider assembly.