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Roy, Tom, Richard and Richard,
Thanks. I only asked half the question, I was also interested in a proximity corrected calc for Zo. The chart in Laport looks useful Richard. I have digitised it and tried a number of curve fits. I think I will just use a cubic spline interpolation to my digitised points where D/d2.5 and 1.1, and above that range I will use 120acosh(D/d). Laport doesn't give an expression from the graph, so I suspect that it is derived from experimental data. Tom, thanks for the pointer to Reg's expression. I wish I knew where he got it from, or something against which to validate it... but it is a start. Interestingly, Reg doesn't seem to consider proximity effect in calculating Zo (other than indirectly from the implied R element). Roy, I note from Googling that a lot of work has been done in recent years on skin effect in PCB tracks, ie small rectangular tracks over a large ground plane, but haven't seen work on traditional two wire open line. I am playing with a model of a Ruthroff 1:4 balun. My model treats the windings as a coiled lossy transmission line, so good estimation of Zo and R are important to the results. The ugly part of ferrite baluns is the ferrite. I have used published u' and u'' vs frequency curves to calculate the choke impedance for a more realistic estimate. Comments appreciated. Again, thanks to all for the hints. Owen |
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