Thanks to Al N1AL, Jack W6FB, and Dave AB7E for great information that helped 
me a lot.

I'm in the circuit simulation business, after all, and I confess that I was 
just being lazy, so I ran some simulations that confirmed what Dave, in 
particular, had said.

As suggested by Dave, I chose typical Q values of 100 for the inductor and 1000 
for the capacitor. Then I simulated as many points as I could on the entire 
Smith Chart to see 1/ if the tuner could tune each point to 50 ohms, and 2/ 
what the power loss was in the tuner at each of those points. Then, I 
discovered that K6JCA had already done this on his excellent blog at:  
https://k6jca.blogspot.com/2015/03/notes-on-antenna-tuners-l-network-and.html . 
The guy is totally professional and exhaustive in his discussions. I really 
admire his work.

Anyway, it turns out you can make a graph of power lost in the tuner versus 
phase angle of the load. As you might suspect, 'easy' loads of 5 or 500 ohms 
resistive (SWR = 10:1) don't tax a tuner as much as reactive loads do. In fact, 
they're near (but interestingly, not at) the areas of *minimum* power loss.

Whenever an antenna tuner is reviewed in QST, resistive mismatched loads are 
usually used. I'd like to see tuners tested with reactive loads, but the number 
of loads required to do this from 160 to 10 meters would be enormous. I see why 
resistive loads are preferred, because you can re-use the loads on every band.

I'm frustrated by imprecise statements like, "This tuner will tune an 8:1 
mismatch." What does that mean? There has to be a better way for manufacturers 
to spec the exact impedance ranges that their tuners will tune. I like the 
method that I used, which shades a Smith Chart in color based on the two 
criteria I listed above. One picture would tell you all about a tuner's 
effectiveness. No real tuner can tune the entire Smith Chart, but the more of 
the chart that is covered, the better the tuner. And if you can shade the areas 
of higher tuner loss in red, then that would also tell you an important piece 
of information. (However, to generate such a plot through measurement you'd 
probably need a very expensive load-pull setup, which is a totally separate 
discussion.)

For the L-network I simulated, a particularly difficult 10:1 load was near the 
7 -  j30 ohm point, which is toward the bottom edge of the Smith Chart at a 
phase angle of 282 degrees (or -77 degrees), and a similar point near the top 
edge. The lower impedances with capacitive reactance were definitely the most 
difficult (using power loss as the measure of 'difficulty') for the tuner to 
handle, which Dave stated in his post, while the high impedances with inductive 
reactance were generally more difficult. If your antenna must be mismatched, 
and you're using an L-network tuner, you want it to be > 50 ohms with a little 
bit of capacitive reactance, or below 50 and inductive.

By the way, K6JCA actually put the Elecraft KAT500 through this simulated 
evaluation and it tested so well that he ended up buying one.


Al  W6LX/4


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