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*To*: tesla-at-pupman-dot-com*Subject*: Tesla simulation software project*From*: "Paul" <paul-at-abelian.demon.co.uk> (by way of Terry Fritz <twftesla-at-uswest-dot-net>)*Date*: Mon, 05 Jun 2000 08:02:37 -0600*Approved*: twftesla-at-uswest-dot-net*Delivered-To*: fixup-tesla-at-pupman-dot-com-at-fixme

In view of the current interest in estimating resonant frequencies, members of the list may be interested in an ongoing software project concerned with modeling of tesla resonators. There are two programs involved, 1/ tlap.c This program computes the various external capacitances of the tesla resonator by computing the E field in a spacial resolution of 1mm out to a radius of 3m from the coil, and to progressively lower resolution out to a distance of 24m using multigrid methods and a varying cell size across the field. Techniques are employed which simulate boundaries at infinity (ie the sky) where required. A continuous graphic display is maintained by the program which shows the field as it evolves during the computation. The toploading capacitance and coil capacitance profile are computed and used as input to the second program. 2/ tsim.c This program models the operation of the tesla resonator using a cascade of several hundred discrete transmission line sections leading to a large set of simultaneous equations for V and I which are then solved by Gaussian elimination. The transmission line model employed takes into account the capacitance profile, mutual inductance, end-effects, and inter-turn capacitance. The program outputs the base input impedance as a function of frequency, together with the V/I profile of the coil. The aim of these two programs is to be able to compute the resonant frequencies and input impedance to better than 5 percent starting from the gross physical characteristics of the resonator. While there are other programs better suited to assisting with practical coil design issues, the intention here is to clarify understanding of the resonant mechanism, thus the programs are written for clarity and precision rather than efficiency. It would be nice to see this software released to the public domain, but some further work would be needed first. For example, tlap.c requires some attention to the method of simulating boundaries at infinity, and tsim.c suffers from the lack of a model of ground plane I^2R losses. These and other defects mean that the above aim has not yet been achieved. This software would benefit from peer review, and requires validation against a range of actual coils. Therefore I would be pleased to hear from anyone who would like to contribute to a collaborative effort to finish, validate, and package these two programs. The software is compiled under gcc and runs on unix workstations. tlap.c expects an X11 display terminal. Documentation is latex/dvi/postscript. Regards, -- Paul Nicholson, Manchester, UK. paul-at-abelian.demon.co.uk --

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