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Very well said, Jim.
73,
Dave   AB7E
On 9/11/2019 3:37 PM, Jim Brown wrote:
 
On 9/10/2019 4:56 PM, Bob Shohet, KQ2M wrote:
 Sure I did my homework ahead of time but my inclination was to build 
it and put it up anyway just to see how it performed.  I felt better 
about it after I modeled it even though I was using software which 
was not designed to provide a perfect representation of my qth with 
stacking heights over my wildly varying topography in each 
direction.   And while the antenna on 15 and stacking combos kicked 
butt at 109’, a similar stacking proposition for 10 meters with an 
antenna at 65’ stacked with others at 100’ and lower heights did NOT 
work as the model predicted.  In fact the 10 meter antenna at 65’ 
performed poorly in a stack with all other antenna heights and by 
itself in every direction BUT towards Europe.
So “put it up” and try it had great results on 15 and mixed results 
on 10, whereas the model which predicted a great stacking pattern in 
all directions for both antennas on 10 and 15 also had mixed 
results.  Ultimately I removed  the sidemount @ 65’ for 10 – it was 
useless to rotate the antenna at that height for stacking purposes at 
my qth – it was never better than another antenna combo.  So, no 
model is foolproof. 
Not quite. This post, and the logic that goes with it, is a great 
example of several important concepts/principles. 
1) Nearly all real world problems are complex, whether technical, 
personal, financial, legal, or political. Wise people know this, and 
will reject input that tries to make things too simple. 
2) The application of well known fundamental principles to solve a 
problem will only be as good as the knowledge of, and the modeling of, 
ALL of the variables. 
3) Anyone who thinks that "there's a difference between theory and 
practice" doesn't know enough about one or the other or both. 
4) Nearly all commonly used design equations/formulas are simplified 
versions of the full equation. The simplifications are based on 
certain assumptions, and if the assumptions are satisfied, the formula 
will give a good result. 
Example: Commonly used equations for Zo and VF of transmission lines 
are simplified, based on the assumption that F is a high number, 
leaving F out of the formula, yielding the same value for all 
frequencies. But Zo and VF are NOT constant with frequency, and become 
increasingly variable at low frequencies. Indeed, VF varies enough 
that stubs for 40M and below cut using the simplified formula will 
1-2% off frequency. 
Example: NEC assumes flat earth and uniform ground characteristics, 
and uses ground characteristics in the model. If the ground is not 
flat, or if it is not uniform, or even if its characteristics are not 
known, or are not entered correctly, NEC will yield some error. 
Example: Most hams have conductive elements within their direct field 
that can act as parasitic elements of an antenna. Coax from horizontal 
dipoles, towers, trees, even wiring in nearby homes can interact with 
verticals. If these conductive elements are not known or not 
considered, NEC will yield some error. I've posted here several times 
the interaction between my tall tower and 160 verticals, and that I 
add chokes along the coax from high dipoles to avoid interaction. 
Example: HFTA does NOT model interaction of stacked antennas, it only 
sums their lobes, assuming that each is a dipole! When a given antenna 
is selected (dipole, x-element Yagi) HFTA simply increases the gain. 
And the result obtained from the model will only be as good as the 
data entered. My terrain is quite irregular -- I don't know how good 
the data is nor how closely spaced, and there are limits to the number 
of data points. 
Example: HFTA can yield errors with some irregular terrain. N6BV has 
always recommended running calcs at multiple closely different heights 
and azimuths to expose these errors. When I used it to site my 
antennas I ran in 10 ft increments to find "sweet spots," then +/- 5 
ft. Likewise for azimuths -- I modeled in 5 degree increments to major 
directions. 
Example: HFTA propagation data is statistical, over long periods of 
time, so includes wide variations over the solar cycle(s). AND data 
for some bands is interpolated from data for adjacent bands. I think I 
recall Dean telling me that 160M data is interpolated. 
Example: The combined pattern of antennas in a stack will depend 
entirely on the phase response of the combination, including ground 
effects. The phase response of an antenna like a Yagi will vary not 
only by brand name or generic design, but by every element of the 
design, and it varies with angle in both the H and V plane. If we want 
to model the behavior of a stack on something as simple as flat earth, 
we must enter an accurate detailed model into our design software, and 
the model must include accurate details of all matching elements, 
phasing lines, and so on! 
73, Jim K9YC
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