Just assume that all the Z terms were about 100 ohms then the numerator in the equation would be 100*100*100*100*(100-100) = 0 but what if you measured Za and Zb with a 0.1% error (which is miniscule). Now Zu = 100*100*99.9*100.1*(100.1-99.9) = 20 million. I will try to remake the measurements again sometime.
Probably you've not done the complete calculation.
I've calculated an example (with some unbalance)with:
-----100-------.--------150------.
|
50
|
ground
(the 50 Ohm resistor to ground should be connected to the
middle between the 100R and 150R but for some reason
I can't manage to get it placed there in the picture!)
You get
Za =137,5Ohm
Zb =183,3 Ohm
Zc = 110 Ohm
Zd = 250 Ohm
Zu = 50 Ohm
Zd and Zu are calculated by the formulas presented in W9CF's
article and the result can be easily verified in this simple example
(Zd =100R + 150R =250R; Zu =150R-100R = 50R).
Then I've made variations of + and - 10% for Za,Zb,Zc.
You get 8 different combinations.
The change in Zd was:
-3,8%,+5,2%,-6,1%,+6,5%,-10%,+10%,
-18% (=the second worst case for Za-10%,Zb-10%,Zc+10%)
and
+25%(=worst case for Za+10%,Zb+10%,Zc-10%)
The two worst cases are quite unlikely to occur.
So it's safe to say that the calculated value for Zd is as at least as accurate as the measurements of Za,Zb,Zc.
>As to my other comments missing the point I still feel that the
> balance of the antenna is not what is important.
> What is important is what common mode current
> flows relative to the differential current.
From an operational point of view I fully agree with you.
However,for an optimum design of a tuning network
for a balanced fed antenna it is very helpful
to know the true differential mode impedance
(I'm not talking of the antenna's balance).
The measurement of the antenna's differential mode
impedance is falsified by a non-floating antenna analyzer.
73
Clemens
DL4RAJ