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[TowerTalk] For AutoEZ Users: Modeling Fan Dipoles and OCF Dipoles

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Subject: [TowerTalk] For AutoEZ Users: Modeling Fan Dipoles and OCF Dipoles
From: Dan Maguire via TowerTalk <towertalk@contesting.com>
Reply-to: Dan Maguire <djm2150@yahoo.com>
Date: Thu, 1 May 2014 23:01:27 -0700 (PDT)
List-post: <towertalk@contesting.com">mailto:towertalk@contesting.com>
Three new models have been added to the AutoEZ samples folder as of maintenance 
release v. 2.0.6.

With model "Fan Dipole Splayed Elements.weq" you can set variables to easily 
configure the wires like this, for example, which might represent a fan strung 
between two supports with a "catenary sag" in the center.

http://ac6la.com/adhoc/fanocf1.png

Change the variables another way to get this kind of configuration, inverted 
vees held up by a center support and two shorter end supports.

http://ac6la.com/adhoc/fanocf2.png

To control the slope (if any) for each side of each element you can set either 
the height of the outer end or the angle of the wire up from vertical.  
Whichever you enter will be used along with the total wire length and center 
height to generate the correct coordinates in the wires table.  In addition, 
the corresponding "other" value (angle or end height) will be shown.  The two 
sides need not have the same slope.

Here is an extract from the Variables sheet tab showing how you control the 
first (top) element.  Other groups of variables, not shown, control the other 
elements.  The number of elements in the model is adjustable from 1 to 6.  (Set 
the number of elements first, then set other groups of variables as 
appropriate.)

http://ac6la.com/adhoc/fanocf3.png

If you would prefer to work with meters or inches instead of feet use the 
"Change Units" button (with the "retain formulas" option) and then reset the 
variable values as desired.

You can also rotate the outer ends of one or more elements in the XY plane, 
perhaps to increase the separation between wires or take advantage of available 
supports.  Here is a top-down view of a set of inverted vees with the outer 
ends of the 80m element rotated in a somewhat arbitrary manner, just for 
illustration.  Side A of the 80m element has been rotated 20° CCW in the XY 
plane and side B has been rotated 330° (or -30°) CCW.

http://ac6la.com/adhoc/fanocf4.png

As you change variables be sure to frequently use the "View Ant" button to 
verify that the wires of the model are positioned as you intended.  Make sure 
that no wires cross on top of other wires.  Also be careful to not enter 
"impossible" combinations.  For example, if an element is 32 ft long (16 ft 
each side) with a center height of 50 ft, and you set an end height at 20 ft 
(impossible), you'll see an Excel error code of "#NUM!" for the slope angle.

Once you have the model configured as desired the next step is to fine-tune the 
element lengths to be resonant at your chosen set of frequencies.  On the 
Calculate sheet enter a frequency, the variable name that controls the total 
length of the corresponding element, and a starting length value.  With the 
length cell selected click the "Resonate" button.  Repeat this process for 
other frequencies, variable names, and lengths.

http://ac6la.com/adhoc/fanocf5.png

You may then wish to run a frequency sweep across multiple bands to see the SWR 
patterns.  Remember that you are free to do other things such as check email or 
surf the web while the calculations are running.  Assuming you calculated 
multiple bands at the same time, you can use the "Set/Lock Scales" button on 
the Custom chart sheet tab to "zoom in" on a particular frequency range of 
interest (discussed more later).  This composite chart illustrates the effect.

http://ac6la.com/adhoc/fanocf6.png

############

With model "Fan Dipole Parallel Elements.weq" you can easily create a 
configuration in which the wires are separated by a fixed spacing, typically a 
few inches to a few feet.  This animated gif illustrates that the separation 
between elements, controlled by a variable, stays constant as the slope angle 
of the elements is changed.

http://ac6la.com/adhoc/fanocf7ani.gif

In both the "Splayed" and "Parallel" fan models the elements are *physically* 
separated by a small amount at the centers but are *electrically* joined by 
"zero" length (almost) and zero loss NEC transmission lines.  This technique 
was described by L.B. Cebik, W4RNL (SK), see reference below.  Making the 
connection between elements this way, as opposed to building a model with the 
elements physically connected to a common center wire, results in much better 
Average Gain Test results, hence more reliable impedance and gain values.  As 
an example, using an exploded view of the splayed element model shown earlier:

http://ac6la.com/adhoc/fanocf8.png

Now compare the above Average Gain Test results with those shown below.

http://ac6la.com/adhoc/fanocf9.png

Even after correcting the source resistance and gain by the AGT values, when 
using a common center wire the results are still unreliable at the higher 
frequencies.

############

With model "OCF Dipole.weq" you can use variables to set the total wire length 
and the percent from end for the feedpoint position.  As with the fan models 
you can control the slope angle of both the short and long sections by 
specifying either end heights or wire angles.  An additional variable lets you 
change the impedance ratio of the balun at the feedpoint, such as 1:4 or 1:6.  
Here is an example of a typical layout.

http://ac6la.com/adhoc/fanocf10.png

And here is the SWR response for this particular configuration.  Six 
frequencies were used for each of 8 bands, 80/40/30/20/17/15/12/10 meters.  
Using the same number of frequencies for each band means that you can take 
advantage of the "Subsets" button on the Custom chart tab to see the response 
for each band separately (discussed more later), although the illustration 
below shows all bands together.  In this example the max SWR was clipped at 5:1 
for plotting so some bands don't show all 6 frequency dots and other bands 
don't show any dots at all.  The straight trace lines connecting groups of dots 
are merely the "frequency jumps" from one band to the next and can be ignored.

http://ac6la.com/adhoc/fanocf11.png

An alternate method to plot SWR is to use "EZNEC spacing" for the Y axis of the 
chart, which means a reflection coefficient chart with SWR gridlines.  (EZNEC 
SWR charts show only the SWR values but the vertical spacing is per the 
corresponding reflection coefficient value.)  In addition, for the X axis of 
the chart you can choose "Frequency - Column" rather than "Frequency - Line".  
That eliminates the extraneous straight line traces between the bands.  So in 
the chart below, each band is shown as 6 columns rather than six dots connected 
by lines.  The reflection coefficient (rho) values are on the left vertical 
scale, the corresponding SWR values are on the right.

http://ac6la.com/adhoc/fanocf12.png

############ 

When dealing with multiband antennas there is always the question of which 
frequencies to calculate.  Of course you can use something like Start 3.0, Stop 
30.0, Step 0.05 MHz but that results in many frequencies of little interest 
unless you are trying to get a feel for the relationship between SWR dips.  An 
alternative is to calculate groups of frequencies for each band, skipping the 
frequencies between bands.  The Excel "fill handle" makes it easy to enter such 
groups, as illustrated below.

http://ac6la.com/adhoc/fanocf13.png

The number of frequencies for each band is determined by the delta between the 
first two entries for each band.  You can use the same step size, say 0.05 or 
0.025 MHz for each band, or you can divide each band into the same number of 
steps.  For example (using ITU Region 2 band plans), you might enter 3, 3.55, 
... 4 to get 11 frequencies for 80m, then 7, 7.03, ... 7.3 to get 11 
frequencies for 40m, and so on.

When you save the model the current set of frequencies on the Calculate sheet 
will be saved as well so there will be no need to repeat the entry process the 
next time you open the model.

After you have calculated several groups of frequencies (that is, several 
bands) there are two methods available to plot a single band rather than all 
bands.  You can use the "Set/Lock Scales" button on the Custom chart sheet tab, 
setting the min and max of the X axis (typically Frequency) as desired.  For 
example, to plot just the 80m band you could enter min and max values like this.

http://ac6la.com/adhoc/fanocf14.png

If you click the "Apply" button the dialog window will stay open so you can 
easily change to a different min/max (different band).  If you click "OK" the 
dialog window will close. 

There is an alternate way to show separate bands on the Custom chart if you 
have calculated the same number of frequencies for each band.  After all 
calculations are complete, on the Calculate sheet select (drag through, 
highlight) just that subset of frequencies that were used for the first band.  
Then on the Custom sheet click the "Subsets" button.

http://ac6la.com/adhoc/fanocf15.png

The "Subsets" button will be replaced with a spinner button.  You can use that 
spinner to advance to other bands, that is, other subsets of frequencies.

############ 

References:

Cebik article on using "zero" length transmission lines to connect fan elements:
http://www.antennex.com/w4rnl/col0507/amod111.html

Stanford Research Institute paper on fan dipoles:
http://www.rebelwolf.com/HFD.pdf

Construction ideas and other tips for fan dipoles:
http://www.hamuniverse.com/multidipole.html
http://www.hamuniverse.com/ae5jumultibanddipole.html
http://www.hamuniverse.com/w6hdgfandipole.html
http://www.hamuniverse.com/kj4iif1608040fandipole.html
http://ve2xip.cactus.net/?p=1342

Cebik articles on OCF dipoles:
http://w4rnl.net46.net/gup9.html
http://w4rnl.net46.net/gup10.html
http://w4rnl.net46.net/gup11.html
http://w4rnl.net46.net/download/iocf.pdf
http://w4rnl.net46.net/download/tlocf.pdf

Construction ideas and other tips for OCF dipoles:
http://www.w8ji.com/windom_off_center_fed.htm
http://hamwaves.com/cl-ocfd/index.html
http://www.buxcomm.com/windom.htm
http://www.balundesigns.com/OCF%20Antenna.pdf
http://www.designerweb.net/downloads/OCF-dipoles.pdf

The "OCF Dipole.weq" model allows a second element to be included.  This 
article explains why you might want to do that:
http://dev.n8it.org/acs/documents/off%20center%20fed%20dipole.pdf

Quick and simple review of sine, cosine, and tangent trig functions, in case 
you are curious about all the Excel formulas used in the models:
http://www.mathsisfun.com/algebra/sohcahtoa.html

############ 

For more information on AutoEZ and to download a free demo version see:
http://ac6la.com/autoez.html

With the demo you will not be able to do any calculations because of the large 
number of segments in each model.  However, you can change the variables as 
desired, use the "View Ant" button to see what you have created, then switch 
over to the EZNEC window and do calculations directly in EZNEC.

Current AutoEZ users:  If you would like to update your copy of AutoEZ to the 
latest level which includes the above models, download the most recent 
installer ("autoezsetup.exe") program.  The download link is shown in your 
purchase confirmation email.  If you have misplaced that email please contact 
me directly for assistance.

Dan, AC6LA
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