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Ian Jackson wrote:
In message , Cecil Moore writes Owen Duffy wrote: The ARRL information on "extra loss due to VSWR" is may be incomplete in that it may not the assumptions that underly the formula used for the graphs. It is possible for a feedline with a high SWR to have lower loss than the matched-line loss. For instance, if we have 1/8WL of feedline with a current miminum in the middle of the line, the losses at HF will be lower than matched line loss because I^2*R losses tend to dominate at HF. I'd never thought of that. I suppose it applies to any situation where the feeder is electrically short, and the majority of the current is less than it would be when matched. I presume that the moral is that formulas only really work when the feeder is electrically long enough for you to be concerned about what the losses might be. That's a good way of putting it, but it only applies to the generalized ARRL chart which takes no account of the actual load impedance or the actual feedline length. Owen's explicit method should get it right in all cases. If you select say 0.125 wavelengths of RG213 in Owen's online calculator, the predicted loss with a 100 ohm load resistance is *less* than the matched loss. If you change the load to 25 ohms, the predicted loss is *greater* than the matched loss. Both of these results make perfect physical sense because the largest part of the loss is proportional to the square of the current, which will be greater with the lower-resistance load. The two different resistances correctly give different results, yet they both have a VSWR of 2 (based on the 50-ohm system impedance). This shows that VSWR does not contain sufficient information to give an explicit single-valued result. Owen's program will accept a VSWR input, but it correctly posts a bold red warning that the result is an estimate. If you let the program select the worst-case load impedance for the supplied value of VSWR, you're back on track and it can calculate an explicit result. Although we're debating fractions of a milliBel here, the debate has shown how often the terms "VSWR" and "load impedance" are used interchangeably - which they aren't. It isn't a big mistake here, but it can be in other applications. For example, a solid-state PA designed for a 50 ohm load will respond very differently to load *impedances* of 100 or 25 ohms, yet the load *VSWR* is the same in both cases. -- 73 from Ian GM3SEK |
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