Re: primary angle

["Tesla list" <tesla@xxxxxxxxxx>]

Original poster: "Antonio Carlos M. de Queiroz" <acmdq@xxxxxxxxxx>

Tesla list wrote:

> Original poster: "Barton B. Anderson" <bartb@xxxxxxxxxxxxxxxx>
> Hi Sebastiann,
> Javatc is using is Paul Nicholsons' Geotc which is a program written 
> in javascript for use with html. Geotc is computing the mutual 
> inductance of the two coils then simply calcs coupling by 
> k=M/sqrt(L1L2). The mutual inductance is where there is some 
> complexity. Paul inserted tables from Frederick W. Grovers' 
> "Inductance Calculations", 1946. My copy is a 1973 reprint by Dover 
> which I am currently going through. The tables used are table 13, 
> 14, and 15 where 14 and 15 are auxiliary tables for circles very 
> close or very far apart. These tables include factors for Grover's 
> k' squared value. As stated in the book "the mutual inductance is 
> expressed in closed form in terms of complete elliptic integrals". 
> The circular filaments have radii of the two coils as well as the 
> distance apart. Paul has programed this portion into Geotc which 
> does all the crunching. All I do is "let it crunch" and then write 
> the output to the html form.
> I'll shoot you the portion that deals with mutual inductance but 
> highly recommend reading the book to get a complete understanding. I 
> bought my copy at Amazon.com, $35.

The code in my INCA program does the exact calculation with elliptic
integrals, and implements also several more or less exact formulas for
comparison (http://www.coe.ufrj.br/~acmq/programs).
It does not, however, take into account the variation of the current
along the secondary of a Tesla transformer, that results in an effective
coupling somewhat smaller than the ideal. It's very difficult to
determine the exact effect, specially considering that everything
is transient, so I kept only the exact calculation assuming no
distributed capacitance to charge.

Antonio Carlos M. de Queiroz



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