[TenTec] OT Antenna Tuners

[Ken Brown]

Hi Al,

Perhaps I did not state very clearly what I meant to say, however your 
writing seems to confirm what I meant to say. What I meant to say is 
that given a single configuration of  L and C in an L network, and by 
configuration I mean where the C is and where the L is with respect to 
the source and load, and which one is shunting and which one is in 
series, there is only one set of values that gives a solution. If you 
move the parts around in different configurations, there will be 
different solutions. Have I got this right?

DE N6KB

Alfred Lorona wrote:
> Any complex source impedance can be matched to any complex load impedance by two L network configurations. One will be a low pass (series L and shunt C) while the other will be a high pass configuration (series C and shunt L) when connected from source to load.
>
> Some source/load values will result in 4 possible configurations. It depends on the following two relationships between source and load impedances.
>
> The real part of the load, when the load is in the equivalent series form, must be less than 50 ohms, which is the usual source impedance. Simultaneously, with the load expressed in the equivalent parallel form, the real part must be larger than 50 ohms.
>
> An easiest way to find all of this out is to download the free L matching software 'LC Match' from RadioCom Corp which is easily found in the Google search thingie.
>
> For examples of all of the above, when matching a load of, say, 500 +j200 ohms to 50 ohms at 14 mHZ, the two possible networks are:
>
> 1. series 185 nh, shunt 7 pf and which is a low pass network.
>
> 2. series 7 pf, shunt 231 nh and which is a high pass network.
>
> If the load impedance when in series equivalent form is, say, 15 +j30, notice that the 15 ohms real part is lower than the 50 ohm source. And notice that it is larger than 50, it is 75, when the load is in the parallel equivalent form. Therefore we would expect to see four possible configurations. And, sure enough, these are:
>
> 1. series 402 nh, shunt 410 pf.
>
> 2. series 322 pf, shunt 196 pf.
>
> 3. shunt 347 pf, series 1604 pf.
>
> 4. shunt 372 nh, series 215 pf.
>
> In the first example, the coil of 185 nh would probably be preferable to the larger coil of 231 nh for lowest tuner loss. Actually there's not much difference in this case.
>
> In the second example, things are pretty much even. Note however, that two of the possibilities require only two capacitors and no coils in the tuner. Unfortunately, the capacitor values appear prohibitively high and therefore difficult to come by. It's a toss up between solutions 1 and 4.
>
> I am not certain but I believe that all popular antenna analyzer instruments yield measurements in the series form but don't take my word for it. At any rate the LC Match program requires load input in the series form.
>
> As simple as an L C network appears, there are a few additional interesting subtleties but I didn't want to complicate the issue too much. If the load impedance is given as a parallel equivalent form, always transform to the series form to check for the possibility of four networks. Actually, the best thing to do is use EZNEC as the antenna modeling software, ARRL's TLW Transmission line software and RadioCom's LC match software. These will give you a comprehensive picture of your antenna system. Too bad there isn't ONE program that combines all three elements and none that I know about that calculates tuner losses; L, PI, T and others. What about that, you software writers out there?
>
> 73, AL
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