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Yagi Array
Example
Modelling an array of modified
Yagi antennas using SuperNEC
The starting point for this
tutorial is the Yagi antenna. SuperNEC has a number of built-in
antennas that can be very easily constructed. These antenna
assemblies are listed in the menu item Add | Assembly | antennas
as shown in Figure 1.
To add a Yagi antenna to the
structure, select the menu item Add | Assembly | antennas
| snyagi.
Figure
1 : Adding a Yagi to the structure.
A dialog box requesting the
parameters of the Yagi will appear (Figure 2).

Figure
2 : Entering the Yagi parameters.
The main parameters of the
Yagi are the element spacing, element lengths and the radii
of the wires making up the Yagi. The above dialog shows the
default settings for a Yagi, which is a Yagi with 5 elements
each spaced 0.2 m apart. On pushing the OK button, a segmented
Yagi will appear in the structure editor.
Figure
3 : The default SuperNEC Yagi.
Notice that the second element
has a yellow marker on its centre segment. This marker is
the SuperNEC symbol for a source.
SuperNEC provides both zooming
and panning functionality. To zoom in on the structure do
the following :
· Push the shift key on the
keyboard.
· Position the mouse pointer
within the grid displaying the structure, but not over any
part of the structure.
· Push the left mouse button
and move the mouse away from you. This will invoke the zoom-in
facility.
· Moving the mouse towards
you will give you the effect of zooming out.
To pan the view of the structure
:
· Push the control key on the
keyboard.
· Position the mouse as was
done for zooming.
· Mouse the mouse to the left,
right, up or down to pan the view.
On the bottom left hand side
of the structure editor window is the text ‘Model Freq :’.
The number to the right of this text specifies the frequency
at which the structure is modelled. In this case, it is set
to 300 MHz. You can change this figure to generate a model
of the antenna at a different frequency. Try changing the
number to 400 and then push the ‘Set’ button. Note that the
number of segments used to model the antenna increases.
The ‘Group Level’ setting for
the model is currently set to high. Reduce the level to 2
by clicking on the button with the ‘<’ label. Now use the
mouse to select part of the structure (left click whilst the
mouse pointer sits on top of part of the structure). Note
that you are able to select individual the wires making up
the structure. Reduce the group level to ‘low’ and again select
part of the structure. You are now able to select the individual
segments.
Select the segment with the
source attached and push the ‘Edit’ button. A dialog box for
editing the segment will appear as shown in Figure 4.
Figure
4 : The segment edit box.
Note that this segment is excited
with an applied field voltage source with a value 1+0i. Now
cancel the edit box.
You can also edit the segment
by double clicking on the segment in the structure editor.
Now increase the group level
setting, select the last wire element of the antenna and push
the ‘Edit’ button (or double click on the last element). The
edit box for the subassembly ‘snwire’ appears. You can now
change the length (or some other parameter) of the wire by
changing the values in the edit box.
If you increase the group level
back to high and double click on the structure, the edit box
for the Yagi antenna will appear. If you push the OK button,
then the Yagi will be regenerated and any changes that you
have made to the elements of the Yagi will be lost.
Let us now assume that we want
to connect the centre of the last two elements of the Yagi
with a 45 W transmission line. This is achieved as follows
:
1. Set the group level to ‘low’
so that we are able to select individual segments.
2. Left click on the centre
segment of the last element of the Yagi (this should highlight
the segment in red).
3. Hold the shift key down
and left click on the centre segment of the second last element
of the Yagi (you should now have two segments highlighted
in red as shown in Figure 5).
Figure
5 : Selecting two segments in the model.

Figure
6: Adding a transmission line between the two highlighted
segments.
4. Select the menu item Add
| Primitive | Network | Transmission Line as shown in Figure
6.
5. The transmission line dialog
box will appear. Fill it in as shown in Figure 7.
Figure
7 : Setting the properties of the transmission line.
6. Push the OK button and another
dialog asking how the segments should be linked will be displayed.
Figure
8 : How should the segments be linked.
7. Push the ‘Pairs’ button
and the transmission line will be added to the structure as
shown in Figure 9.
Figure 9 : The new transmission line.
You can edit the parameters
of the transmission line by double clicking on the centre
portion of the transmission line symbol.
We will now put a lumped element
load of 3 W onto the tips of reflector element. This is achieved
as follows :
1. Select the two segments
as shown below:
Figure
10 : Selecting the segments to load.
2. Call the menu item Add |
Primitive | Load.
Figure
11 : Illustrating the menu item for adding a load.
3. Fill in the parameters of
the load
.
Figure
12 : Adding a 3 W load

4. Push the OK button.
Figure
13 : The Yagi with two 3 W loads applied.
Note that the SuperNEC symbol
for a load is a black mark as shown in Figure 13.
You can check the loading of
parameters of each of the segments by double clicking on the
loaded segments. The segment edit box for the left hand segment
should look similar to Figure 14.

Figure
14 : Illustrating the settings for one of the loaded segments.
We will now illustrate some
of the other structure manipulation features of the editor.
First we will translate the entire structure 1 m in the x-direction
and 1 m in the z-direction. To do this :
· Push the ‘Select All’ button
at the bottom of the structure editor window.
· Push the ‘Translate’ button
and fill in the resulting dialog box as follows :
Figure
15 : Translating the structure by the vector [1, 0, 1].
· Push the OK button and the
structure is translated.
Figure
16 : The translated structure.
We will now create a stacked
array of these Yagi’s. The stack will be vertically oriented
and the spacing between antennas will be 0.5 m. To do this
:
· Select all.
· Push the translate button
and fill in the resulting dialog box as follows :
Figure
17 : Creating 2 duplicates of the structure.
· Push the OK button and observe
the result.
Figure
18 : A 3-stack of Yagi’s.
We will now assume that this
modification we made to the structure was incorrect. To undo
this modification push <control-Z> (the control key
and then the Z key).
To redo the operation push
<control-Y>. The structure should now be restored to
that shown in Figure 18.
The structure will now be reflected
along the x-axis (y-z plane). To do this :
· Select all.
· Push the reflect button and
check the x-axis check box.
· Push the OK button.
Figure
19 : The structure reflected along the x-axis.
Note that the reflected portion
of the structure is grey. This grey colour means that these
elements of the structure form an image of the original structure
and that symmetry will be used in the simulation. If you modify
the structure (other than to add transmission lines and excitations),
then the symmetry of the model will be lost.
This concludes the generation
of the model.
Setting the simulation settings
Let us assume that we wish
to model this structure from 250 MHz to 300 MHz and determine
its radiation pattern in this frequency range. To set these
simulation settings call the Edit | Simulation Settings menu
item.
Figure
20 : Calling the simulation settings editor.
Figure 21 shows the simulation
settings editor with the simulation frequencies set to start
at 250 MHz, end at 300 MHz and go up in 10 MHz intervals ([250:10:300]).
Figure
21 : Setting the simulation frequency range.
To set the radiation patterns,
click on the last line of the summary list box (Radiation
Patterns: <click here to add>).
The bottom part of the dialog
box changes to the radiation pattern editor as shown in Figure
22
Figure
22 : The radiation pattern editor.
Select the 3D pattern in 4
degree increments from the predefined patterns list box and
push the Add button.
The simulation settings dialog
changes to that shown in Figure 23.
Figure
23 : Adding a radiation pattern.
This concludes the simulation
settings requirement of the simulation and the OK button can
be pushed.
You now return to the structure
editor. To simulate the structure, push the simulate button
at the bottom right hand side of the editor. You will be requested
to save your work, after which the simulation will proceed.
The simulation takes place
in a DOS box similar to Figure 24.
Figure
24 : Running the simulation in a DOS window.
To view the simulation results,
use the Simulate | View Output menu item.
Figure
25 : Starting the output viewer.
The output viewer as shown
in Figure 26 will appear.
Figure
26 : The output viewer.
Push the ‘All’ button below
the ‘Filter Available Structures’ list box and also the ‘All’
button below the ‘Filter Available Frequencies’ list box.
The ‘Summary of available
results’ list box will change as shown in Figure 27.
Figure
27 : Showing the available currents and charges for display.
The top line of the list box
is highlighted. This corresponds to selecting all the current
distributions for plotting. To see these current distributions
push the ‘Plot’ button. A window similar to Figure 28 will
appear.
Figure
28 : The current distribution.
The slider at the bottom right-hand
side of the screen can be moved to view the currents at the
other simulation frequencies.
Return to the output viewer
and push the ‘Radiation Pattern’ tab at the top of the viewer.
The ‘Summary of available results’
list box will change as shown in Figure 29

Figure
29 : Showing available radiation patterns.
Tick the check box labelled
‘Structure’ at the bottom left hand side of the window. If
the ‘Plot’ button is now pushed, then the radiation patterns
overlaid on the structure will be plotted. This is illustrated
in Figure 30.
Figure
30 : The radiation pattern and Yagi antenna.
The structure had to be magnified
in order to see it properly. This was achieved using the View
| Structure | Scale menu item.
The slider at the bottom right-hand
side of the plotter can be moved to show the radiation pattern
at different frequencies.
This concludes the modified
Yagi array tutorial.
The structure file, SuperNEC
input and output files can be found in the tutorial directory.
They are called iptut.str, iptut.nec and iptut.out respectively.
There are a number of other
example files located in the tutorial directory.
They are :
1. The files optut.* model
a folded dipole Yagi antenna from 100 MHz to 300 MHz. Near
fields, 2-D radiation patterns and 3-D patterns are computed
for this antenna.
2. The files optutmom.* model
a monopole on a finite size ground plate. The ground plate
is modelled using MoM and 2-D radiation patterns are computed.
3. The files optututd.* model
a monopole on the same size finite ground plate as the optutmom.*
simulation. The radiation patterns requested are also identical.
You can compare the results
obtained from the MoM and UTD monopole simulations as follows
:
· Start the output SuperNEC
utility by typing snecout at the Matlab command line.
· Load the optutmom.out file
into the output utility.
· Push the ‘Load’ button and
load the optututd.out file.

Figure
31: The SuperNEC output interface with both MoM and UTD output
files loaded.
· Push both ‘All’ buttons to
select both models and all frequencies.
· Push the ‘Radiation Pattern’
tag and select the 250 MHz radiation patterns as shown below
:

Figure
32 : Selecting the 250 MHz radiation patterns.
· Check the ‘Overlay’ check
box and push the ‘Plot’ button. The radiation patterns will
appear overlaid in the radiation pattern viewer as shown in
Figure 33.
Figure
33 : Comparing the MoM and UTD patterns.
· Normalise the radiation patterns
as shown below :
Figure
34 : Normalising the radiation patterns.
· Compare the normalised radiation
patterns at the other frequencies in a similar manner.
· The input impedances computed
using the two techniques can be compared by setting the output
interface as follows :

Figure
35 : Setting up the output interface for a comparison of input
impedances.
· Check the ‘Overlay’ button
and push the ‘Plot’ button. The input impedances are overlaid
on the Smith chart as shown in Figure 36.
Figure
36 : Comparing the input impedance as computed by the two
methods.
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