Theory of the DK7ZB-Match (new) | The "classic" DK7ZB-Match | Full symmetrical 28-Ohm-Match by DF9IC | "Sperrtopf" by DF7DJ |
Bandwidth of some
Amateurbands
Band |
Frequency Range |
Bandwidth
in % |
70cm |
430-440MHz |
2,3% |
2m |
144-146MHz |
1,38% |
6m |
50,0-50,3MHz |
0,6% |
10m broad |
28,0-29,7MHz |
5,9% |
10m narrow |
28,0-28,8MHz |
2,81% |
15m |
21,0-21,45MHz |
2,1% |
20m |
14,0-14,35MHz |
2,5% |
For a 3-El.-Yagi the following parameters are interesting: 1. Gain: High gain means narrow bandwidth, bad F/B-ratio and low impedance 2. F/B: High F/B means lower gain 3. Bandwidth/SWR: Great bandwidth means low gain and high impedance 4. Impedance: - High impedance means great bandwidth, but low gain (50 Ohm) - Low impedance means narrow bandwidth, but high gain (12,5 Ohm) - Medium Impedance means medium bandwidth and medium gain (28 Ohm) |
|
50 Ohm |
28 Ohm |
12,5 Ohm |
||||||
SWR
<1,5 6,7% |
SWR
<1,5 2,9% |
SWR
<1,5 1% |
|||||||
Gain
5,0 dBd, V/R 20 dB |
Gain
5,6 dBd, V/R 24 dB |
Gain
6,25dB, V/R 26dB |
|||||||
Pos. |
Length |
Diff. |
Pos. |
Length |
Diff. |
Pos. |
Length |
Diff. |
|
Ref |
0 mm |
1041 mm |
+4,8% |
0 mm |
1026 mm |
+4,6% |
0 mm |
1022 mm |
+4,5% |
Rad |
350 mm |
|
- |
275 mm |
981 mm |
- |
220 mm |
978 mm |
- |
Dir |
600 mm |
890 mm |
-10,4% |
600 mm |
900 mm |
-8,25% |
600 mm |
923 mm |
-5,6% |
SWR 50-Ohm-Type |
SWR 28-Ohm-Type |
SWR 12,5-Ohm-Type |
As you see ist the best impedance for the bandwidth of the most bands 25-30 Ohm and gives you a good balance of gain and F/B. This is the reason for the 28-Ohm-constructions. But what is with long Yagis? To understand that we look at the pictures below. A very good indicator for a Yagi structure is the element current profile. |
For the 2-m-Yagis above and two further Yagi-groups with 0,2- and 0,41-lambda-boom I have calculated the data, here you can download the EZNEC-Files for your own modifications and comparsisons: |
Element currents in a 5-El.-28-Ohm-2m-Yagi with 2,00m-Boom
The highest current is in the radiator, from the center the currents in the wave structure of the yagi are falling to the end slightly. If you have elements with lower currents in the structure, there is a failure in the contruction! This is the case for many older designs and the reason for bad patterns. Now we try to change the design to an impedance of 50 Ohm. Therefore we need an additional "match-element" very close to the radiator. This element is not working as a classic director, it is an "open-sleeve-element", which has now the highest current in the yagi system. We have replaced the one radiator (2) by two new elements ( 2 and 3). This system is very critical for the impedance trend and the pattern of the yagi. Why do that? My conclusion is the 28-Ohm-principle. All high-gain-long yagis with 50Ohm-impedance have a significant lower bandwidth with slighly less or equal gain in comparison with the 28-Ohm-Yagis. |
Element currents in a comparable (good designed!) 6-El.-50-Ohm-2m-Yagi with 2,00m-Boom
A lot of 50-Ohm-Yagis have a bad element current profile!
One of the best yagi designs for 2m I know is the 12-El.-28-Ohm-Yagi. Please look for the extrem clear pattern (no big backlobe and good sidelobes), gain 14,28dBd, bandwidth for SWR < 1,5 is 2 MHz! You will not find any comparable yagi with the same boomlength, gain, pattern and bandwidth. It is impossible to match the antenna with the described match-element for a 50Ohm-direct feed. This is the reason why a lot of contest groups, EME-amateurs and severe DXers use homemade DK7ZB-yagis. |
Horizontal pattern of the 12-Element-28-Ohm-Yagi at 144,3 MHz You can earn a box with 20 bottles of good German beer if you reach that aim to construct any comparable 50-Ohm-Yagi with 8m-boom, 14,28dBd gain, 2MHz bandwidth and such a clean pattern! |
Here are some arguments and questions you can hear about Yagis and my answers: 1.
Medium impedance Yagis (28 Ohm) have losses We
had these arguments here in DL years ago, when I introduced my
28-Ohm-Yagis. People said, an antenna has to have 50 Ohm impedance (Why?
Because the cable has 50 Ohm?). It took 5 years until the amateurs
believed that it must not. In
the last ten years more and more “homebrewers” built thousands of
that Yagis and in DL, SP, OM and OK the most contest crews with homemade
antennas are running DK7ZB-28-Ohm-Yagis. And believe me, there are a lot
of experienced hams who know what they do. When
you optimize a Yagi you must set the parameters for the optimizing
conditions: Gain, bandwidth, pattern and impedance. I normally do not
start with the impedance! A good compromize between the first three
arguments does not lead to 50-Ohm-impedances automatically, in much
cases an impedance around 30 Ohm is better. Why
no impedance match? Why should a short piece of two paralled 75-Ohm-coax
cables cause more losses than a normal piece of coax as used in a
half-wave-balun? When you construct a stacking harness for a H-frame
with four 50-Ohm-Yagis you use quarter-wave transformation lengths to
points of 25-Ohm-impedance. Do you believe in any mystic losses in that
case? I do not. 2.
OWA-Yagis are a better choice If
you prefer a wide bandwidth and lower gain, why not? But in most cases
you do not need that. If you have a lot of
metal around the antenna your OWA-Yagi shows only a little
influence to the SWR indeed. Great! But what you do not see is the
distortion of your pattern and the reduced gain. Better is a clean
surrounding of your antenna….. and then you can use a design with
higher gain and better performance. Real
OWA-Yagis have a lot of elements on a smaller boom and can have 50 Ohm,
but must not. 3.
50-Ohm-direct feed is better than a lower impedance Do
not believe that 50-Ohm-feed in a Longyagi means greater bandwidth! If
you compare the magnitudes and phases of the currents in the radiator
and the D 1 in a 50-Ohm-design you will see the cause for many problems:
The close spaced first director is no real director, it has a much
higher current than the radiator itself and that coupled system with
“open-sleeve-principles” has severe influence to the pattern and the
impedance across a greater part of the band (and losses, if you use a
Flexa-Yagi with thin steel rods). There are some new developments, which claim "50-Ohm-direct-feed", e.g. the LFA-Yagis by G0KSC. But these Yagis are low-impedance-Yagis, where the loop is the match from 12,5 to 50 Ohm. This has some advantage, because the impedance matching acts similar as with a horizontal folded dipole with a greater distance between the two parts. An other way for a 50-Ohm-feed is a OWL-Yagi with 12,5 Ohm impedance and a folded dipole, which gives an impedance ratio of 1:4 and 50 Ohm. So, what is "low-impedance"? Anay match device can transform to an impedance of 50 Ohm. This can be the quartewave-coax-cable solution, a folded dipole or a LFA-loop. |