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Reg Edwards August 2nd 06 10:30 AM

Radiating Efficiency
 
Frank,

To complete the graphs of Rin + jXin versus length for one radial, I
need data for lengths between 0.5 metres and 2 metres at intervals of
0.2 metres.

Could you oblige please?

The nice smooth graphs I have produced so far are free of
'measurement' errors which could be attributed to your hard, tedious
work.

The uncertainty due to NEC4 is as yet unknown. In the NEC4 model of a
single radial, what is the length of the short bits of radial used to
model it? Alternatively, into what number of short lengths is the
radial under test divided?
----
Reg, G4FGQ.



Frank's August 2nd 06 03:03 PM

Radiating Efficiency
 

"Reg Edwards" wrote in message
...
Frank,

To complete the graphs of Rin + jXin versus length for one radial, I
need data for lengths between 0.5 metres and 2 metres at intervals of
0.2 metres.

Could you oblige please?

The nice smooth graphs I have produced so far are free of
'measurement' errors which could be attributed to your hard, tedious
work.

The uncertainty due to NEC4 is as yet unknown. In the NEC4 model of a
single radial, what is the length of the short bits of radial used to
model it? Alternatively, into what number of short lengths is the
radial under test divided?


No problem Reg, here are the data you requested:

0.5 m -- Radial Z = 167.6 - j 161.0
0.6 m -- Radial Z = 146.6 - j 136.3
0.8 m -- Radial Z = 115.9 - j 102.3
1.0 m -- Radial Z = 101.4 - j 79.1
1.2 m -- Radial Z = 89.4 - j 61.5
1.4 m -- Radial Z = 80.9 - j 57.2
1.6 m -- Radial Z = 74.6 - j 35.0
1.8 m -- Radial Z = 70.2 - j 24.1
2.0 m -- Radial Z = 67.2 - j 14.2

Concerning your previous question about the Smith Chart.
It is a powerful visual aid which gives a better understanding
of what is really happening to the impedances. Exactly what
I got out of graphing the data was really only a confirmation
of the expected spiral toward Zo. Also the "zero-crossing"
which occurs at quarter-wave multiples.
Normalization of the data (Division of each complex datum
by the complex Zo), and linear graphing, will also provide
the same information; including the gradual approach to the
normalized Zo of 1 ohm.

Where the Smith Chart really proves its worth is in the
design of matching networks involving: L, C, R, and
transmission lines. It is hard to imagine how anybody
could do such design without this aid. I am not sure
if anybody actually uses the paper versions these days,
but the software equivalent, combined with programs
such as (Now Agilent's) Eagleware, are pretty much
design lab standards.

In this model all segments are a constant 10 cm in length.
The number of segments will therefore be L(m)/0.1.

Frank



Walter Maxwell August 2nd 06 04:18 PM

Radiating Efficiency
 
On Wed, 02 Aug 2006 14:03:48 GMT, "Frank's" wrote:


"Reg Edwards" wrote in message
...
Frank,

snip
Concerning your previous question about the Smith Chart.
It is a powerful visual aid which gives a better understanding
of what is really happening to the impedances. Exactly what
I got out of graphing the data was really only a confirmation
of the expected spiral toward Zo. Also the "zero-crossing"
which occurs at quarter-wave multiples.
Normalization of the data (Division of each complex datum
by the complex Zo), and linear graphing, will also provide
the same information; including the gradual approach to the
normalized Zo of 1 ohm.

Where the Smith Chart really proves its worth is in the
design of matching networks involving: L, C, R, and
transmission lines. It is hard to imagine how anybody
could do such design without this aid. I am not sure
if anybody actually uses the paper versions these days,
but the software equivalent, combined with programs
such as (Now Agilent's) Eagleware, are pretty much
design lab standards.

In this model all segments are a constant 10 cm in length.
The number of segments will therefore be L(m)/0.1.

Frank

May I insert a few words about the Smith Chart?

During the period between 1958-59 I designed the entire antenna system and
matching harness for the World's first weather satellite, TIROS 1, which was
launched April 1, 1960.

Four transmitters operating simultaneously on separate frequencies fed the
antenna that comprised four crossed monopoles radiating right circular
polarization from two transmitters and left circular polarization on the other
two frequencies.

The point concering the Smith Chart is that the only tools I had for the
development of both the antenna system and the matching harness was the
Hewlett-Packard HP-805 slotted line for impedance measurements, the slide rule
for calculations, and the paper Smith Chart to tell me where I was in the
desert. The resolution available with the Chart was sufficient to make the
system work successfully. Philip Smith was my hero.

Incidentally, the matching harness was fabricated entirely of printed-circuit
stripline, and that was 47 years ago.

Walt, W2DU

Rick August 2nd 06 04:54 PM

Walt, W2DU, and Tiros
 
On Wed, 02 Aug 2006 11:18:07 -0400, Walter Maxwell
wrote:


During the period between 1958-59 I designed the entire antenna system and
matching harness for the World's first weather satellite, TIROS 1, which was
launched April 1, 1960.


Walt,
Could you please tell me a little more about that satellite? Reason I
ask is there is a place I am sure you can enlighten us on, called Camp
Evans.
I know there is still a big dish antenna there, although the wooden
structure surrounding it is failing. Supposedly it was used for
communicating with Tiros. Is that right?

A NJ radio club had a hamfest there in April, and I was able to walk
under the antenna and they have some displays there. Supposedly Camp
Evans was also the place where the first signals were bounced off the
moon, somewhere around 1946.
Camp Evans looks like at least parts of it are being renovated.
Brookdale Comm. College has some classrooms there, very modern.
Oh yes, and on the road leading to Camp Evans (Marconi Road !!) there
is a display of the top portion of one of Marconi's towers, and a
plaque noting that there were many such towers in the area in the
early 1900s.
Quite a bit of radio history, in these parts of New Jersey, and I am
glad to know one of the pioneers frequents this newsgroup.
Not far away, in Holmdel, is where AT&T communicated with Telstar, I
believe, about the same time period. The Holmdel facility, home to
6000 Bell Labs employees as recently as1999 has been sold and is going
to be demolished.

Rick K2XT

Frank's August 2nd 06 05:50 PM

Radiating Efficiency
 
May I insert a few words about the Smith Chart?

During the period between 1958-59 I designed the entire antenna system and
matching harness for the World's first weather satellite, TIROS 1, which
was
launched April 1, 1960.

Four transmitters operating simultaneously on separate frequencies fed the
antenna that comprised four crossed monopoles radiating right circular
polarization from two transmitters and left circular polarization on the
other
two frequencies.

The point concering the Smith Chart is that the only tools I had for the
development of both the antenna system and the matching harness was the
Hewlett-Packard HP-805 slotted line for impedance measurements, the slide
rule
for calculations, and the paper Smith Chart to tell me where I was in the
desert. The resolution available with the Chart was sufficient to make the
system work successfully. Philip Smith was my hero.

Incidentally, the matching harness was fabricated entirely of
printed-circuit
stripline, and that was 47 years ago.


Very interesting Walt. Judging by the type of work you were involved in
you must be familiar with the classic text by: Matthaei, Young, and Jones.
I am not familiar with the HP-805, but probably because most of my
earlier lab work was concerned only with HF. I realize that slide rule,
pencil, and Smith Chart was the only way in those days. When I started
work any intense analysis was done in FORTRAN on main frame
computers. One of the hot topics I remember was mini-computers,
but never got to see one. I don't think they lasted long, since soon
after programmable desktops started to become available.

One thing I remember was a guy designing HF antenna tuners, and he
used the Smith Chart. What is interesting is that the charts were
very large, about 2 ft X 3 ft, and came in pads. Much greater
accuracy than the standard chart. I think they may have been published
by a company called K-electronics. I used to needle guys in the lab
by telling them that Smith was a ham.

I now have a nice high res pdf of the Smith Chart, but
usually use an electronic version from
the "Berne Institute of Engineering".

73,

Frank



Richard Clark August 2nd 06 06:27 PM

Radiating Efficiency
 
On Wed, 02 Aug 2006 16:50:39 GMT, "Frank's"
wrote:

"Berne Institute of Engineering"


Hi Frank,

Reverse engineering this clue, I've found the author is Prof. F.
Dellsperger, and that his Smith Chart software can be found at:
http://www.fritz.dellsperger.net/downloads.htm

73's
Richard Clark, KB7QHC

Frank's August 2nd 06 06:45 PM

Radiating Efficiency
 
"Richard Clark" wrote in message
...
On Wed, 02 Aug 2006 16:50:39 GMT, "Frank's"
wrote:

"Berne Institute of Engineering"


Hi Frank,

Reverse engineering this clue, I've found the author is Prof. F.
Dellsperger, and that his Smith Chart software can be found at:
http://www.fritz.dellsperger.net/downloads.htm

73's
Richard Clark, KB7QHC


Thanks Richard, I had recently tried to locate a source for this
program, but could no longer find it. I see he has updated the program
so will try the upgrade. I see he also has a lot of other stuff that looks
interesting.

73,

Frank, VE6CB



Reg Edwards August 2nd 06 06:53 PM

Radiating Efficiency
 

No problem Reg, here are the data you requested:

0.5 m -- Radial Z = 167.6 - j 161.0
0.6 m -- Radial Z = 146.6 - j 136.3
0.8 m -- Radial Z = 115.9 - j 102.3
1.0 m -- Radial Z = 101.4 - j 79.1
1.2 m -- Radial Z = 89.4 - j 61.5
1.4 m -- Radial Z = 80.9 - j 57.2
1.6 m -- Radial Z = 74.6 - j 35.0
1.8 m -- Radial Z = 70.2 - j 24.1
2.0 m -- Radial Z = 67.2 - j 14.2

=====================================
Frank,

Thank you for the above.

Can you do 36 radials from 0.6 to 8.0 metres in increments of 0.2
metres?

Must be the same input data as before :- F = 8.07 MHz, Ground =
150,16 Radial diameter = 1.64mm, Depth = 25mm.
----
Reg.



hasan schiers August 2nd 06 06:59 PM

Radiating Efficiency
 
Reg,

I have taken Frank's numbers from NEC-4 (that he sent me) and compared the
results with Radials_3. Here is what I found:

NEC-4 Parameters (in parens are the values I get with Radials_3, note the
differences are LARGE)

Height 20 m;
Radials 15 m;
24 radials at 15 degree intervals;
Radials 25 mm below ground;
All wires # 14 AWG copper; (I USED 2mm wire)
Gnd. Er = 25, Resistivity 25 ohm-m;
Resonant Frequency 3.64 MHz, and; (Radial_3 shows Resonant Freq of 3.750)
Zin = 41.32 + j 0.156466 ohms at 3.64 MHz. (34.17 ohms and j -24.6)

If I change the Freq in Radial_3 to 3.750, I get Zin = 37.41 and j -0.0.

That is 110 KHz difference for the same antenna and ground characteristics.
Not very good agreement.
=================================================
Now, on to the real question I have been asking for a week: Does the current
along the radials fall off as rapidly as Radial_3 predicts? I used the
numbers from the above antenna, (supplied by Frank from NEC-4) and compared
them to what Radial_3 says for the same length. I do not have numbers
showing a 5 meter radial for NEC-4 and a 5 meter radial for Radial_3. What I
am presenting is the current along the full radial in NEC-4, vs. the current
in a radial of specified length in Radial_3. Length is in meters.

Since we are using ratios, I only used the integer and two decimal places
for the current in my calculations. All values for current are actually what
is presented * 10^-2

Length Current NEC-4 (dB) Radial_3 (dB)

0 9.15 N/A N/A
1 8.37 0.77 6.2
2 6.98 2.35 12.4
3 5.63 4.22 18.6
4 4.55 6.07 24.7
5 3.57 8.17 30.9
6 3.00 9.69 37.1
7 2.54 11.13 43.3
8 2.16 12.54 49.5
9 1.84 13.93 55.7
10 1.60 15.15 61.8
11 1.46 15.94 68.0
12 1.41 16.24 74.2
13 1.36 16.56 80.4
14 1.04 18.89 86.6
14.75 0.26 30.93 91.2

Notice at a lenght of 4 meters, Radial_3 is showing 24.7 dB of attenuation
of the current, while NEC-4 is only showing 6 dB...not even close.

Notice throughout the lengths from 3 to 11 meters, the difference between
Radial_3 nd NEC-4 is a pretty consistent 4X, i.e, Radial_3 is showing four
times the attenuation at a given length that NEC-4 is showing. Patterns like
this in data are rarely the result of chance. Maybe this will lead to a
resolution of the problem.

If Reg's threshold of 25 dB attenuation is reasonable (at which point adding
additional length is of very little value), then NEC-4 says for this
particular set of variables that we don't attain anything near 25 dB current
attenuation along the length until we get to greater than 14 meters (and the
wire is only 15 meters long!)

How could the current in a 4 meter radial drop by 25 dB within its length?

So, I'm left with two questions:

1. Extra wire....what extra wire? It looks like one needs the entire 15
meter radial wire, not some 4 meter stubby....at least according to NEC-4.

2. Why such a discrepancy in resonant freq between NEC-4 and Radial_3?

Unless someone else can point out an error in the analysis, it appears that
the transmission line model that Reg is using to predict rate of current
drop along the radial vs. length is either the wrong model, or the wrong
application thereof. NEC-4 just doesn't seem to support the rapid current
fall-off that Radial_3 predicts.

BL&E says it ain't so.
Tom, W8JI, says his measurements say it ain't so.
NEC-4 appears to say "it ain't so".

If I were a betting person, I'd say it ain't so.

Back to the drawing board?

In the mean time, anyone putting in a radial field woud appear to be better
served by the references in this thread to "optimizing radial systems", I
think by K3LC...it's in several antenna books.

73,

p.s. How all this fits into efficiency someone else can analyze, but it
can't be good.

....hasan, N0AN





Walter Maxwell August 2nd 06 08:32 PM

Radiating Efficiency
 
On Wed, 02 Aug 2006 16:50:39 GMT, "Frank's" wrote:

May I insert a few words about the Smith Chart?

During the period between 1958-59 I designed the entire antenna system and
matching harness for the World's first weather satellite, TIROS 1, which
was
launched April 1, 1960.

Four transmitters operating simultaneously on separate frequencies fed the
antenna that comprised four crossed monopoles radiating right circular
polarization from two transmitters and left circular polarization on the
other
two frequencies.

The point concering the Smith Chart is that the only tools I had for the
development of both the antenna system and the matching harness was the
Hewlett-Packard HP-805 slotted line for impedance measurements, the slide
rule
for calculations, and the paper Smith Chart to tell me where I was in the
desert. The resolution available with the Chart was sufficient to make the
system work successfully. Philip Smith was my hero.

Incidentally, the matching harness was fabricated entirely of
printed-circuit
stripline, and that was 47 years ago.


Very interesting Walt. Judging by the type of work you were involved in
you must be familiar with the classic text by: Matthaei, Young, and Jones.
I am not familiar with the HP-805, but probably because most of my
earlier lab work was concerned only with HF. I realize that slide rule,
pencil, and Smith Chart was the only way in those days. When I started
work any intense analysis was done in FORTRAN on main frame
computers. One of the hot topics I remember was mini-computers,
but never got to see one. I don't think they lasted long, since soon
after programmable desktops started to become available.

One thing I remember was a guy designing HF antenna tuners, and he
used the Smith Chart. What is interesting is that the charts were
very large, about 2 ft X 3 ft, and came in pads. Much greater
accuracy than the standard chart. I think they may have been published
by a company called K-electronics. I used to needle guys in the lab
by telling them that Smith was a ham.

I now have a nice high res pdf of the Smith Chart, but
usually use an electronic version from
the "Berne Institute of Engineering".

73,

Frank

Thanks for the nice response, Frank,

Walt

Walter Maxwell August 2nd 06 11:29 PM

Walt, W2DU, and Tiros
 
On Wed, 02 Aug 2006 15:54:26 GMT, (Rick) wrote:

On Wed, 02 Aug 2006 11:18:07 -0400, Walter Maxwell
wrote:


During the period between 1958-59 I designed the entire antenna system and
matching harness for the World's first weather satellite, TIROS 1, which was
launched April 1, 1960.


Walt,
Could you please tell me a little more about that satellite? Reason I
ask is there is a place I am sure you can enlighten us on, called Camp
Evans.
I know there is still a big dish antenna there, although the wooden
structure surrounding it is failing. Supposedly it was used for
communicating with Tiros. Is that right?

A NJ radio club had a hamfest there in April, and I was able to walk
under the antenna and they have some displays there. Supposedly Camp
Evans was also the place where the first signals were bounced off the
moon, somewhere around 1946.
Camp Evans looks like at least parts of it are being renovated.
Brookdale Comm. College has some classrooms there, very modern.
Oh yes, and on the road leading to Camp Evans (Marconi Road !!) there
is a display of the top portion of one of Marconi's towers, and a
plaque noting that there were many such towers in the area in the
early 1900s.
Quite a bit of radio history, in these parts of New Jersey, and I am
glad to know one of the pioneers frequents this newsgroup.
Not far away, in Holmdel, is where AT&T communicated with Telstar, I
believe, about the same time period. The Holmdel facility, home to
6000 Bell Labs employees as recently as1999 has been sold and is going
to be demolished.

Rick K2XT


Hi Rick,

Thanks for the response to my post.

The first eight versions of TIROS were shaped as a short 18-sided cylinder about
30 inches in diameter and about two feet tall. It contained a 1/2 inch vidicon
video camera and an infra red (IR) sensor. Direct viewing of both the camera and
IR sensor was attained whenever the spacecraft was within sighting distance of
the three ground stations, one at Ft. Monmouth, NJ, one at our RCA Space Center
at Hightstown, NJ, (where we built the spacecraft) which I operated, and one in
Australia.

There were also two tape recorders that recorded the video and IR when over
other places on Earth out of range of the ground stations, for playback when in
range.

The video and IR transmitters each delivered 5 watts, the video on 235 MHz and
the IR on 237.8 MHz. There were two beacon and telemetry transmitters, one on
108 MHz and the other on 108.03 MHz, each delivering 30 milliwatts. Beginning
with TIROS 3 and on through 8, the beacon-telemetry transmitter frequencies were
changed to 136.0 and 136.5 MHz, leaving the 108 MHz frequencies free for
aircraft communications.

The monopole antennas were sleeve type. A half-inch sleeve 1/4 wl long at 236
MHz radiated the video and IR signals, and a rod extension, along with the
sleeve, radiated the 108 MHz signals. The internal portion of the sleeve formed
a quarter-wave shorted transmission line that decoupled the rod extension at the
235 and 237.8 MHz frequencies, as part of the frequency-separation circuitry
that allowed the antenna to operate on the two frequency bands separated by
approximately an octave.

I have a number of pictures of the spacecraft in various views in JPG format
that I'll send to you as soon as I can get them together.

Now concering Camp Evans, I'm not sure that that was the location of the TIROS
dish, which was 28 feet in diameter. All I can recall after all these years is
that the dish was at Ft. Monmouth, the location of USASRDL, the Signal Corps
Development Laboratory. Camp Evans might have been on the Ft. Monmouth Army
Base, but I just can't remember.

I knew several of the engineering guys at Bell Labs Holmdel, but all I knew
there have passed on.

Hope this helps,

Walt, W2DU

Reg Edwards August 3rd 06 02:00 AM

Radiating Efficiency
 
Hasan,

Why don't you look for differences between BLE and NEC4?

I'm sure you'll find some.
----
Reg.



Frank's August 3rd 06 02:40 AM

Radiating Efficiency
 
Frank,

Thank you for the above.

Can you do 36 radials from 0.6 to 8.0 metres in increments of 0.2
metres?

Must be the same input data as before :- F = 8.07 MHz, Ground =
150,16 Radial diameter = 1.64mm, Depth = 25mm.


Reg,

Here are the results from the analysis of a 26 radial system.
All dimensions and parameters are the same as for the single
radial antenna as you defined above:

0.6 m -- Radial Z = 37.3 - j 28.1 -- Efficiency 15%
0.8 m -- Radial Z = 30.5 - j 21.0
1.0 m -- Radial Z = 26.2 - j 16.9
1.2 m -- Radial Z = 23.2 - j 14.2
1.4 m -- Radial Z = 20.9 - j 12.4
1.6 m -- Radial Z = 19.1 - j 11.1
1.8 m -- Radial Z = 17.6 - j 10.1 -- Efficiency 21.0%
2.0 m -- Radial Z = 16.2 - j 9.4
2.2 m -- Radial Z = 15.1 - j 8.8
2.4 m -- Radial Z = 14.0 - j 8.4
2.6 m -- Radial Z = 13.0 - j 8.0
2.8 m -- Radial Z = 12.1 - j 7.7
3.0 m -- Radial Z = 11.3 - j 7.4
3.2 m -- Radial Z = 10.4 - j 7.1 -- Efficiency 24.5%
3.4 m -- Radial Z = 9.7 - j 6.8
3.6 m -- Radial Z = 8.9 - j 6.5
3.8 m -- Radial Z = 8.2 - j 6.2
4.0 m -- Radial Z = 7.5 - j 5.8
4.2 m -- Radial Z = 6.9 - j 5.5
4.4 m -- Radial Z = 6.4 - j 5.1
4.6 m -- Radial Z = 5.8 - j 4.7
4.8 m -- Radial Z = 5.4 - j 4.3
5.0 m -- Radial Z = 5.0 - j 3.9 -- Efficiency 27.8%
5.2 m -- Radial Z = 4.6 - j 3.5
5.4 m -- Radial Z = 4.3 - j 3.1
5.6 m -- Radial Z = 4.0 - j 2.7
5.8 m -- Radial Z = 3.7 - j 2.3
6.0 m -- Radial Z = 3.5 - j 2.0
6.2 m -- Radial Z = 3.3 - j 1.6
6.4 m -- Radial Z = 3.1 - j 1.3
6.6 m -- Radial Z = 3.0 - j 0.9
6.8 m -- Radial Z = 2.9 - j 0.6
7.0 m -- Radial Z = 2.8 - j 0.3
7.2 m -- Radial Z = 2.7 + j 0.01
7.4 m -- Radial Z = 2.6 + j 0.3
7.6 m -- Radial Z = 2.6 + j 0.6
7.8 m -- Radial Z = 2.6 + j 0.9
8.0 m -- Radial Z = 2.5 + j 1.1 -- Efficiency 31.1%
..
..
10.0 m -- Radial Z = 3.0 + j 3.3 -- Efficiency 32.6%

Where I have shown the efficiency as sky wave power
out. The input impedance is that of all radials, so for
a single radial the input Zr must be Ztr * 26.

Frank




Frank August 3rd 06 04:28 AM

Radiating Efficiency
 
Reg, I meant 36 radials. The 26 is a typo.

Frank

Here are the results from the analysis of a 36 radial system.
All dimensions and parameters are the same as for the single
radial antenna as you defined above:

0.6 m -- Radial Z = 37.3 - j 28.1 -- Efficiency 15%
0.8 m -- Radial Z = 30.5 - j 21.0
1.0 m -- Radial Z = 26.2 - j 16.9
1.2 m -- Radial Z = 23.2 - j 14.2
1.4 m -- Radial Z = 20.9 - j 12.4
1.6 m -- Radial Z = 19.1 - j 11.1
1.8 m -- Radial Z = 17.6 - j 10.1 -- Efficiency 21.0%
2.0 m -- Radial Z = 16.2 - j 9.4
2.2 m -- Radial Z = 15.1 - j 8.8
2.4 m -- Radial Z = 14.0 - j 8.4
2.6 m -- Radial Z = 13.0 - j 8.0
2.8 m -- Radial Z = 12.1 - j 7.7
3.0 m -- Radial Z = 11.3 - j 7.4
3.2 m -- Radial Z = 10.4 - j 7.1 -- Efficiency 24.5%
3.4 m -- Radial Z = 9.7 - j 6.8
3.6 m -- Radial Z = 8.9 - j 6.5
3.8 m -- Radial Z = 8.2 - j 6.2
4.0 m -- Radial Z = 7.5 - j 5.8
4.2 m -- Radial Z = 6.9 - j 5.5
4.4 m -- Radial Z = 6.4 - j 5.1
4.6 m -- Radial Z = 5.8 - j 4.7
4.8 m -- Radial Z = 5.4 - j 4.3
5.0 m -- Radial Z = 5.0 - j 3.9 -- Efficiency 27.8%
5.2 m -- Radial Z = 4.6 - j 3.5
5.4 m -- Radial Z = 4.3 - j 3.1
5.6 m -- Radial Z = 4.0 - j 2.7
5.8 m -- Radial Z = 3.7 - j 2.3
6.0 m -- Radial Z = 3.5 - j 2.0
6.2 m -- Radial Z = 3.3 - j 1.6
6.4 m -- Radial Z = 3.1 - j 1.3
6.6 m -- Radial Z = 3.0 - j 0.9
6.8 m -- Radial Z = 2.9 - j 0.6
7.0 m -- Radial Z = 2.8 - j 0.3
7.2 m -- Radial Z = 2.7 + j 0.01
7.4 m -- Radial Z = 2.6 + j 0.3
7.6 m -- Radial Z = 2.6 + j 0.6
7.8 m -- Radial Z = 2.6 + j 0.9
8.0 m -- Radial Z = 2.5 + j 1.1 -- Efficiency 31.1%
.
.
10.0 m -- Radial Z = 3.0 + j 3.3 -- Efficiency 32.6%

Where I have shown the efficiency as sky wave power
out. The input impedance is that of all radials, so for
a single radial the input Zr must be Ztr * 36.

Frank




Reg Edwards August 3rd 06 06:24 AM

Radiating Efficiency
 
Here are the results from the analysis of a 26 radial system.

0.6 m -- Radial Z = 37.3 - j 28.1 -- Efficiency 15%
0.8 m -- Radial Z = 30.5 - j 21.0
1.0 m -- Radial Z = 26.2 - j 16.9
1.2 m -- Radial Z = 23.2 - j 14.2
1.4 m -- Radial Z = 20.9 - j 12.4
1.6 m -- Radial Z = 19.1 - j 11.1
1.8 m -- Radial Z = 17.6 - j 10.1 -- Efficiency 21.0%
2.0 m -- Radial Z = 16.2 - j 9.4
2.2 m -- Radial Z = 15.1 - j 8.8
2.4 m -- Radial Z = 14.0 - j 8.4
2.6 m -- Radial Z = 13.0 - j 8.0
2.8 m -- Radial Z = 12.1 - j 7.7
3.0 m -- Radial Z = 11.3 - j 7.4
3.2 m -- Radial Z = 10.4 - j 7.1 -- Efficiency 24.5%
3.4 m -- Radial Z = 9.7 - j 6.8
3.6 m -- Radial Z = 8.9 - j 6.5
3.8 m -- Radial Z = 8.2 - j 6.2
4.0 m -- Radial Z = 7.5 - j 5.8
4.2 m -- Radial Z = 6.9 - j 5.5
4.4 m -- Radial Z = 6.4 - j 5.1
4.6 m -- Radial Z = 5.8 - j 4.7
4.8 m -- Radial Z = 5.4 - j 4.3
5.0 m -- Radial Z = 5.0 - j 3.9 -- Efficiency 27.8%
5.2 m -- Radial Z = 4.6 - j 3.5
5.4 m -- Radial Z = 4.3 - j 3.1
5.6 m -- Radial Z = 4.0 - j 2.7
5.8 m -- Radial Z = 3.7 - j 2.3
6.0 m -- Radial Z = 3.5 - j 2.0
6.2 m -- Radial Z = 3.3 - j 1.6
6.4 m -- Radial Z = 3.1 - j 1.3
6.6 m -- Radial Z = 3.0 - j 0.9
6.8 m -- Radial Z = 2.9 - j 0.6
7.0 m -- Radial Z = 2.8 - j 0.3
7.2 m -- Radial Z = 2.7 + j 0.01
7.4 m -- Radial Z = 2.6 + j 0.3
7.6 m -- Radial Z = 2.6 + j 0.6
7.8 m -- Radial Z = 2.6 + j 0.9
8.0 m -- Radial Z = 2.5 + j 1.1 -- Efficiency 31.1%
.
.
10.0 m -- Radial Z = 3.0 + j 3.3 -- Efficiency 32.6%

Where I have shown the efficiency as sky wave power
out. The input impedance is that of all radials, so for
a single radial the input Zr must be Ztr * 26.

===========================================
Frank,

The input impedance of 26 radials is NOT equal to all 26 connected in
parallel. There is a non-linear relationship between the number N and
input impedance because they share the same volume of soil at least
when they are short.

For 26 radials the resonant effects have disappeared which I cannot
explain. Yet attenuation is the same, Zo converges on Zin at
approximately 8 or 10 metres as before.

You appear to have automated the results. Can you do a large number
of radials, say around 100, from 0.4 to 8.0 metres?

And can you do a small number of radials such as 6 or 8, from 0.4 to
8.0 metres?



Frank's August 3rd 06 04:39 PM

Radiating Efficiency
 
Frank,

The input impedance of 26 radials is NOT equal to all 26 connected in
parallel. There is a non-linear relationship between the number N and
input impedance because they share the same volume of soil at least
when they are short.

For 26 radials the resonant effects have disappeared which I cannot
explain. Yet attenuation is the same, Zo converges on Zin at
approximately 8 or 10 metres as before.

You appear to have automated the results. Can you do a large number
of radials, say around 100, from 0.4 to 8.0 metres?

And can you do a small number of radials such as 6 or 8, from 0.4 to
8.0 metres?


Reg,

I suspected as much concerning the input impedance of a number or
radials. Note that my model was 36 radials, not 26. 26 was simply a
typo.

Believe me there is no automation involved in running NEC, although
the work is trivial. The 36 radial model was taking 13 minutes per
run as I approached 8 m length radials. I can certainly model the
small number of radials, which should not take too long.

As for 100 radials; this exceeds the maximum number of junctions
limit in NEC. This does not mean it cannot be done, there are
work-arounds. Due to excessive computer time I will have to
develop a model with a more realistic run time. I am interested
in doing this for my own benefit, but it will take some time. I
will be very busy for the next few weeks, but will be able
to squeeze some time in occasionally.

Frank



Frank's August 5th 06 03:46 AM

Radiating Efficiency
 
The input impedance of 26 radials is NOT equal to all 26 connected in
parallel. There is a non-linear relationship between the number N and
input impedance because they share the same volume of soil at least
when they are short.

For 26 radials the resonant effects have disappeared which I cannot
explain. Yet attenuation is the same, Zo converges on Zin at
approximately 8 or 10 metres as before.

You appear to have automated the results. Can you do a large number
of radials, say around 100, from 0.4 to 8.0 metres?

And can you do a small number of radials such as 6 or 8, from 0.4 to
8.0 metres?



Reg,

Here is the analysis of an 8 radial system. All other parameters
the same:

0.4 m -- Radial Z = 65.4 - j 58.1 -- Efficiency 11.2%
0.6 m -- Radial Z = 48.7 - j 55.4
0.8 m -- Radial Z = 39.8 - j 29.6
1.0 m -- Radial Z = 34.2 - j 23.5
1.2 m -- Radial Z = 30.2 - j 19.2
1.4 m -- Radial Z = 27.2 - j 16.1
1.6 m -- Radial Z = 24.9 - j 13.7
1.8 m -- Radial Z = 23.0 - j 11.7 -- Efficiency 19.4%
2.0 m -- Radial Z = 21.3 - j 10.0
2.2 m -- Radial Z = 19.9 - j 8.5
2.4 m -- Radial Z = 18.7 - j 7.1
2.6 m -- Radial Z = 17.7 - j 5.9
2.8 m -- Radial Z = 16.7 - j 4.6
3.0 m -- Radial Z = 15.9 - j 3.5
3.2 m -- Radial Z = 15.2 - j 2.3 -- Efficiency 22.4%
3.4 m -- Radial Z = 14.7 - j 1.1
3.6 m -- Radial Z = 14.3 + j 0
3.8 m -- Radial Z = 14.0 + j 1.1
4.0 m -- Radial Z = 13.9 + j 2.2 -- Efficiency 23.2%
4.2 m -- Radial Z = 13.9 + j 3.2
4.4 m -- Radial Z = 14.1 + j 4.2
4.6 m -- Radial Z = 14.4 + j 5.0
4.8 m -- Radial Z = 14.7 + j 5.7
5.0 m -- Radial Z = 15.2 + j 6.3 -- Efficiency 23.0%
5.2 m -- Radial Z = 15.6 + j 6.7
5.4 m -- Radial Z = 16.1 + j 7.1
5.6 m -- Radial Z = 16.5 + j 7.3
5.8 m -- Radial Z = 16.9 + j 7.4
6.0 m -- Radial Z = 17.2 + j 7.5
6.2 m -- Radial Z = 17.5 + j 7.5 -- Efficiency 22.5%
6.4 m -- Radial Z = 17.8 + j 7.5
6.6 m -- Radial Z = 18.0 + j 7.4
6.8 m -- Radial Z = 18.1 + j 7.4
7.0 m -- Radial Z = 18.3 + j 7.4
7.2 m -- Radial Z = 18.4 + j 7.3
7.4 m -- Radial Z = 18.4 + j 7.3
7.6 m -- Radial Z = 18.5 + j 7.2
7.8 m -- Radial Z = 18.6 + j 7.2
8.0 m -- Radial Z = 18.6 + j 7.2 -- Efficiency 22.4%

Note that after 4 m the antenna efficiency starts to drop,
which is not the case for large numbers of radials.

Now I have to figure out the best way to model a 100
radial system.

Frank



Reg Edwards August 5th 06 07:11 PM

Radiating Efficiency
 

Reg,

Here is the analysis of an 8 radial system. All other parameters
the same:

0.4 m -- Radial Z = 65.4 - j 58.1 -- Efficiency 11.2%
0.6 m -- Radial Z = 48.7 - j 55.4
0.8 m -- Radial Z = 39.8 - j 29.6
1.0 m -- Radial Z = 34.2 - j 23.5
1.2 m -- Radial Z = 30.2 - j 19.2
1.4 m -- Radial Z = 27.2 - j 16.1
1.6 m -- Radial Z = 24.9 - j 13.7
1.8 m -- Radial Z = 23.0 - j 11.7 -- Efficiency 19.4%
2.0 m -- Radial Z = 21.3 - j 10.0
2.2 m -- Radial Z = 19.9 - j 8.5
2.4 m -- Radial Z = 18.7 - j 7.1
2.6 m -- Radial Z = 17.7 - j 5.9
2.8 m -- Radial Z = 16.7 - j 4.6
3.0 m -- Radial Z = 15.9 - j 3.5
3.2 m -- Radial Z = 15.2 - j 2.3 -- Efficiency 22.4%
3.4 m -- Radial Z = 14.7 - j 1.1
3.6 m -- Radial Z = 14.3 + j 0
3.8 m -- Radial Z = 14.0 + j 1.1
4.0 m -- Radial Z = 13.9 + j 2.2 -- Efficiency 23.2%
4.2 m -- Radial Z = 13.9 + j 3.2
4.4 m -- Radial Z = 14.1 + j 4.2
4.6 m -- Radial Z = 14.4 + j 5.0
4.8 m -- Radial Z = 14.7 + j 5.7
5.0 m -- Radial Z = 15.2 + j 6.3 -- Efficiency 23.0%
5.2 m -- Radial Z = 15.6 + j 6.7
5.4 m -- Radial Z = 16.1 + j 7.1
5.6 m -- Radial Z = 16.5 + j 7.3
5.8 m -- Radial Z = 16.9 + j 7.4
6.0 m -- Radial Z = 17.2 + j 7.5
6.2 m -- Radial Z = 17.5 + j 7.5 -- Efficiency 22.5%
6.4 m -- Radial Z = 17.8 + j 7.5
6.6 m -- Radial Z = 18.0 + j 7.4
6.8 m -- Radial Z = 18.1 + j 7.4
7.0 m -- Radial Z = 18.3 + j 7.4
7.2 m -- Radial Z = 18.4 + j 7.3
7.4 m -- Radial Z = 18.4 + j 7.3
7.6 m -- Radial Z = 18.5 + j 7.2
7.8 m -- Radial Z = 18.6 + j 7.2
8.0 m -- Radial Z = 18.6 + j 7.2 -- Efficiency 22.4%

Note that after 4 m the antenna efficiency starts to drop,
which is not the case for large numbers of radials.

Now I have to figure out the best way to model a 100
radial system.

Frank

================================================== ===

Frank,

Thank you very much for the results on 8 radials.

As expected, it seems that for small numbers of radials the resonance
effects are begining to appear again.

I have ideas as to why this should happen. It's to do with the
geometry of the system and the fact that the ends of the radials are
not terminated with true open-circuits when calculating input
impedance. ( As is assumed by program Radial3.)

I look forward to receiving results for 100 or more radials which may
allow me to improve, in the mathematical model, the function of N
which describes the system's input impedance in terms of the number N
of radials.

----------------------------------------------------------------------
-----------------------

But, let's face it, a good understanding of what's going on under the
soil surface, without investigating input impedance at say 25 MHs, and
without investigating input imedance at soil resistivities of say 2000
ohm-metres, will be known only crudely.

Is it all worth the trouble?

After all, we already know enough quite enough about radial systems at
HF to design one which will work good enough, performance-wise, to
keep anybody happy. ( BL&E's work, as good as it may be, does not
apply at HF.)

Just lay one or two dozen radials, in ordinary soils, with lengths
equal to about half antenna height. Which is a good enough
rule-of-thumb for anybody who doesn't expect to win contests because
he has the advantage of 0.05 S-units.

And extremely few people know what their local soil resistivity is
within +/- 40 percent. It's largely guesswork!

But please keep up the good work with NEC4 in which I have great
confidence.
----
Reg, G4FGQ



Richard Clark August 5th 06 08:20 PM

Radiating Efficiency
 
On Sat, 5 Aug 2006 19:11:17 +0100, "Reg Edwards"
wrote:

Thank you very much for the results on 8 radials.

As expected, it seems that for small numbers of radials the resonance
effects are begining to appear again.

I have ideas as to why this should happen.


Hi Reggie,

You "should" if you had read Brown, Lewis, and Epstein. They
discussed this nearly 70 years ago. Radial3 appears to miss that mark
by various amounts ranging from 6 to 60dB.

It's to do with the geometry of the system


Duh. And the problem you injected in that you abstract one wire to
many.

and the fact that the ends of the radials are
not terminated with true open-circuits when calculating input
impedance. ( As is assumed by program Radial3.)


Given Hassan's and other's reports of the outrageous departures
between Radial3 and BLE/NEC4 (with your concurrence):
But please keep up the good work with NEC4 in which I have great
confidence.

there are at least two of us who find your contradictions would
warrant another fling of chalk off your noggin from Lord Kelvin.

73's
Richard Clark, KB7QHC

Walter Maxwell August 6th 06 12:32 AM

Radiating Efficiency
 
On Sat, 5 Aug 2006 19:11:17 +0100, "Reg Edwards"
wrote:


After all, we already know enough quite enough about radial systems at
HF to design one which will work good enough, performance-wise, to
keep anybody happy. ( BL&E's work, as good as it may be, does not
apply at HF.)

Just lay one or two dozen radials, in ordinary soils, with lengths
equal to about half antenna height. Which is a good enough
rule-of-thumb for anybody who doesn't expect to win contests because
he has the advantage of 0.05 S-units.

And extremely few people know what their local soil resistivity is
within +/- 40 percent. It's largely guesswork!


Reg, G4FGQ

Hi Reg,

You're saying that BL&E's work doesn't apply at HF. I believe that's an
overstatement.

They've shown that with about 100 radials of 0.4 lamba length the result is
almost perfect ground, regardless of the ground conditions beneath the radials.

I contend that using the radial setup as described above will always result in a
near-perfect ground at any HF frequency, with close to 100 percent efficiency.

Would you not agree?

Walt, W2DU


Mike Coslo August 6th 06 12:43 AM

Radiating Efficiency
 
Richard Clark wrote:
On Sat, 5 Aug 2006 19:11:17 +0100, "Reg Edwards"
wrote:


Thank you very much for the results on 8 radials.

As expected, it seems that for small numbers of radials the resonance
effects are begining to appear again.

I have ideas as to why this should happen.



Hi Reggie,

You "should" if you had read Brown, Lewis, and Epstein. They
discussed this nearly 70 years ago.


Cut 'im a break Richard! He was just a little kid at the time! ;^)

`73 de Mike KB3EIA -

Reg Edwards August 6th 06 09:15 AM

Radiating Efficiency
 

They've shown that with about 100 radials of 0.4 lamba length the

result is
almost perfect ground, regardless of the ground conditions beneath

the radials.

I contend that using the radial setup as described above will always

result in a
near-perfect ground at any HF frequency, with close to 100 percent

efficiency.

Would you not agree?

Walt, W2DU

======================================

My dear Walt,

I haver never disagreed.

How can one disagree with a statement of the bleeding obvious?

Indeed, my program RADIAL3 confirms it.

And so will NEC4 if you will allow it time to generate some results.
-----
Reg, G4FGQ.




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