[SI-LIST] Re: TLM: Laplace and discrete difference equations
- From: "Lars Juul" <write2larsj@xxxxxxxxx>
- To: shlepnev@xxxxxxxxxxxxx, richardg@xxxxxxxxxxxxxxxx
- Date: Tue, 15 May 2007 14:24:00 +0200
Yuriy and Richard,
Which books on the TLM method would you recommend for application-oriented
people wanting to implement their own TLM code?
So far I identified:
"Electromagnetic Analysis Using Transmission Line Variables" By Maurice
Weiner (ISBN 981024438X)
"Die "Transmission Line Matrix" (TLM) Methode im Zeitbereich" By Ulf Müller
(ISBN 3817115164)
Thanks in advance,
Lars Juul
2007/5/14, Yuriy Shlepnev <shlepnev@xxxxxxxxxxxxx>:
>
> Richard,
>
> There are no universal recommendations on the step and area sizes. It
> depends on multiple details of the algorithm and implementation such as
> the
> boundary condition approximation, type of basis functions or order of the
> local approximation. You have to investigate the dependency of the
> characteristic impedance from the step size and from the area size to get
> an
> idea on accuracy. It is called convergence study. Fix the area size for
> instance and solve the problem multiple times with different grids (keep
> the
> same high accuracy for the iterative solver or use a direct solver). Plot
> the impedance vs. step size - it will give you rough idea on the method
> convergence from the step size. Use a geometry with known answer to
> validate
> your solution and to estimate accuracy (an ideal 50-Ohm strip line for
> instance). Richardson's extrapolation can be used sometime to find the
> convergence limit and to estimate the accuracy for complex geometries
> without comparisons.
> In general, the convergence study and comparisons with results obtained
> analytically or with other methods are essential steps to validate a field
> solver algorithm and to find balance between accuracy and performance.
>
> Best regards,
> Yuriy Shlepnev
> Simberian Inc.
> http://www.simberian.com/
>
> -----Original Message-----
> From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx]
> On
> Behalf Of Richard Georgerian
> Sent: Sunday, May 13, 2007 11:05 AM
> To: si-list@xxxxxxxxxxxxx
> Subject: [SI-LIST] TLM: Laplace and discrete difference equations
>
> Greetings All,
> I have been reading some books on transmission line modeling and one of
> the
> things that interest me was the Laplace equation. The material explains
> Laplace using the discrete difference equations, creating the boundary
> conditions and the incremental steps. The area that I don't fully
> understand
> is how to determine the size of the incremental step size and how large
> the
> area of interest should be when calculating an impedance for a stripline
> for
> example. Since this is an iterative process to calculate the voltages and
> charges, the larger the area and smaller the step sizes will increase the
> time to convergence. So with difference step sizes or different boundary
> dimensions that gives different results (to within a tolerance), how do I
> determine those step sizes or boundary dimensions?
>
> Many thanks in advance.
>
> > Richard
> EMC2007 Arrangements
> > 2007 PSES Symposium Chair
> > 2007 PSES Web site: http://www.ewh.ieee.org/soc/pses/symposium/
> > 2007 PSES Symposium date: 22-23 October 2007 ===== Richard Georgerian
> > Compliance Engineer NewsFlex Ltd.
> > "...turning the world one page at a time..."
> > Web site: http://newsflex.net
> > email: richardg@xxxxxxxx
> > =====
> >
>
>
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