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Walt, W2DU, and Tiros
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Radiating Efficiency
Hasan,
Why don't you look for differences between BLE and NEC4? I'm sure you'll find some. ---- Reg. |
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 |
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 |
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? |
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 |
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 |
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 |
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 |
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 |
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