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#1
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Roy Lewallen wrote in
treetonline: Owen Duffy wrote: Ok, here is the model I constructed of b) (the coaxial tubes construction). For simplicity, the upper and lower outer tubes are the same diameter, the same wire in this model. CM CE GW 10 1 0 -2 2 0 -2 2.1 0.005 GW 1 47 0 0 0 0 0 15 0.005 GE 1 GN 1 EK EX 6 1 1 1 0 TL 10 1 1 16 50 5 1e+99 1e+99 0.0001 FR 0 0 0 0 15 0 EN . . . Is my model above what you suggest? No. But I did take the time to see what would be necessary to actually model it. And what I ended up with is identical to a) except that the wire stub is replaced by the shorted transmission line model, and the lower wire has become the outside of the coaxial structure so is increased in diameter. So those are the two differences between a) and b). As Tom mentioned and I alluded to, there's some interaction I think that is what I had done, but I used the same diameter top to bottom. Here is a revised deck with different diameters: CM CE GW 10 1 0 -2 2 0 -2 2.1 0.005 GW 1 15 0 0 0 0 0 5 0.015 GW 2 30 0 0 5 0 0 15 0.005 GE 1 GN 1 EK EX 0 1 1 1 0 TL 10 1 2 1 50 5 1e+99 1e+99 0.0001 FR 0 0 0 0 15 0 EN In the above, the lower conductor is three times the diameter of the upper conductor. The TL is wired into the lowest segment of the upper conductor. Again, I have shunted the TL with 10k R to represent loss in a real TL. This model does not show in phase currents in upper and lower parts of the vertical. between the wire stub and the antenna which doesn't exist between the ideal transmission line and the antenna, so performance is different. You might as well leave your source open circuited as to connect it to the shorted end of the transmission line stub. The current into one I don't think I did that. transmission line conductor always equals the current out of the other, so if the two are shorted, no more current can go into or out of the shorted end. Therefore, any external connection to it looks like an open circuit since no current will flow through the external connection. What's a type 6 source (EX 6)? The NEC-2 and NEC-4 documentation I have defines only types 1 - 5. I have been playing with this in EZNEC and 4NEC2. The deck I offered was from 4NEC2 as my EZNEC files are binaries and couldn't go inline. The EX 6 is an extension for a current source. It is immaterial in this case, and the 6 can be changed to a 0. Thanks. Owen |
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#2
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Owen Duffy wrote:
I think that is what I had done, but I used the same diameter top to bottom. Sorry, my mistake when looking at the source. Your model is just as I described. I apologize for the error. Here is a revised deck with different diameters: CM CE GW 10 1 0 -2 2 0 -2 2.1 0.005 GW 1 15 0 0 0 0 0 5 0.015 GW 2 30 0 0 5 0 0 15 0.005 GE 1 GN 1 EK EX 0 1 1 1 0 TL 10 1 2 1 50 5 1e+99 1e+99 0.0001 FR 0 0 0 0 15 0 EN In the above, the lower conductor is three times the diameter of the upper conductor. The TL is wired into the lowest segment of the upper conductor. Again, I have shunted the TL with 10k R to represent loss in a real TL. This model does not show in phase currents in upper and lower parts of the vertical. I've been running your model without the loss, and I'm seeing currents in the upper and lower wires which are nearly 180 degrees out of phase. between the wire stub and the antenna which doesn't exist between the ideal transmission line and the antenna, so performance is different. For sure -- maximum gain is about 46 degrees above the horizon. You might as well leave your source open circuited as to connect it to the shorted end of the transmission line stub. The current into one I don't think I did that. You're right, you didn't. My mistake. . . . In playing with the model, I noticed something surprising -- length and Z0 of the transmission line have very little effect on the pattern, even over wide ranges (5 to 5000 ohm Z0, lengths from essentially zero to one wavelength). In fact, try removing the transmission line altogether, leaving the wires connected directly together and look at the pattern. Then try changing one wire end slightly to break the connection between them -- again, very little change in the pattern. The fact is that the junction of the two wires is at a point of very little current, so you can connect or disconnect them with almost no change. Likewise, you can insert just about anything (of zero physical size), including an ideal transmission line of any length, without any real effect. So the transmission line stub doesn't really do anything significant at all. What I don't understand yet is exactly why the wire stub does what it does. It sure doesn't work like the simplified explanations imply. Roy Lewallen, W7EL |
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#3
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Hi Roy,
Roy Lewallen wrote in treetonline: .... Thanks, all noted. What I don't understand yet is exactly why the wire stub does what it does. It sure doesn't work like the simplified explanations imply. Returning to my diagram a), below is an expansion of the detail at the junction of the stub and vertical sections. | | | | | | | | A B | ---------------------| --------------------| | C | | D | | | | | | | | It strikes me that if we omit the stub all together, and leave a gap in its place, we have two unconnected resonant elements, the top half wave, and the bottom quarter wave with a driving source. The two elements are field coupled to some extent, and currents will setup in each section out of phase. NEC models support this, and I think they are correct in doing so. Returning now to a) with the stub connected and very close to resonance, and with reference to the diagram above, for A, B, C and D very close to the corners, I(A)=I(B) and I(C)=I(D). If the desired outcome of using the stub is that the upper and lower sections are in phase, then I(A)~=I(D). That implies common mode current in the stub, so to cause I(A)~=I(D), the stub must have common mode current (equal to (I(A)+I(D))/2 per conductor). If that is true, then reduction of the physical stub to a pure differential mode TL element is discarding part of what makes it "work". That implies that replacement of the stub with a two terminal equivalent impedance, eg by insertion of a load in an NEC segment, or insertion of one port of a TL network in an NEC segment is an inadequate model. Am I on the wrong track here? Owen |
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#4
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On Mar 16, 2:33*pm, Owen Duffy wrote:
Hi Roy, Roy Lewallen wrote ystreetonline: ... Thanks, all noted. What I don't understand yet is exactly why the wire stub does what it does. It sure doesn't work like the simplified explanations imply. Returning to my diagram a), below is an expansion of the detail at the junction of the stub and vertical sections. * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| A * * * * * * * * * * * *B * * | * * * * ---------------------| * * * * *--------------------| * * * * * * * * * * * * * * *| * * * * * * * * * * * *C * * | * * * * * * * * * * * * * * *| D * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| It strikes me that if we omit the stub all together, and leave a gap in its place, we have two unconnected resonant elements, the top half wave, and the bottom quarter wave with a driving source. The two elements are field coupled to some extent, and currents will setup in each section out of phase. NEC models support this, and I think they are correct in doing so. Returning now to a) with the stub connected and very close to resonance, and with reference to the diagram above, for A, B, C and D very close to the corners, I(A)=I(B) and I(C)=I(D). If the desired outcome of using the stub is that the upper and lower sections are in phase, then I(A)~=I(D). That implies common mode current in the stub, so to cause I(A)~=I(D), the stub must have common mode current (equal to (I(A)+I(D))/2 per conductor). If that is true, then reduction of the physical stub to a pure differential mode TL element is discarding part of what makes it "work". That implies that replacement of the stub with a two terminal equivalent impedance, eg by insertion of a load in an NEC segment, or insertion of one port of a TL network in an NEC segment is an inadequate model. Am I on the wrong track here? Owen For what it's worth, I think you're on exactly the right track, Owen. Some things to ponder: does it make any significant difference if the stub is, say, 2mm wires spaced 20mm apart or 1mm wires spaced 10mm apart (that is, the same impedance line, but different physical size), and does it make any significant difference if the wires are kept in a plane that includes the antenna elements, or if they are twisted near their attachment point so they lie in a plane perpendicular to the antenna wire, or if they are twisted throughout their length? What if they are coiled in a spiral out from the antenna wire, so their shorted end lies much closer than a quarter wave from the axis of the antenna? I don't have any answers to these questions; they just seem like an interesting and reasonable extension of your original question. Cheers, Tom |
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#5
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On Mar 16, 2:33*pm, Owen Duffy wrote:
Hi Roy, Roy Lewallen wrote ystreetonline: ... Thanks, all noted. What I don't understand yet is exactly why the wire stub does what it does. It sure doesn't work like the simplified explanations imply. Returning to my diagram a), below is an expansion of the detail at the junction of the stub and vertical sections. * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| A * * * * * * * * * * * *B * * | * * * * ---------------------| * * * * *--------------------| * * * * * * * * * * * * * * *| * * * * * * * * * * * *C * * | * * * * * * * * * * * * * * *| D * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| * * * * * * * * * * * * * * *| It strikes me that if we omit the stub all together, and leave a gap in its place, we have two unconnected resonant elements, the top half wave, and the bottom quarter wave with a driving source. The two elements are field coupled to some extent, and currents will setup in each section out of phase. NEC models support this, and I think they are correct in doing so. Returning now to a) with the stub connected and very close to resonance, and with reference to the diagram above, for A, B, C and D very close to the corners, I(A)=I(B) and I(C)=I(D). If the desired outcome of using the stub is that the upper and lower sections are in phase, then I(A)~=I(D). That implies common mode current in the stub, so to cause I(A)~=I(D), the stub must have common mode current (equal to (I(A)+I(D))/2 per conductor). If that is true, then reduction of the physical stub to a pure differential mode TL element is discarding part of what makes it "work". That implies that replacement of the stub with a two terminal equivalent impedance, eg by insertion of a load in an NEC segment, or insertion of one port of a TL network in an NEC segment is an inadequate model. Am I on the wrong track here? Owen I'm sorry...perhaps I don't understand your notation. Don't you expect that the current at A will be (rather roughly) out of phase with the current at D? If I think about a collinear with three half- wave elements end to end, and drive the center of the center element, if it's going to act like I want, I'll have high current near the middle of each element, and those three will be in-phase. Because of the mutual impedances among the elements, things get a bit funny at the ends. I suppose there is a fairly large voltage across the gap between adjacent elements, and therefore there will be moderately high current near those ends to account for the capacitive current in the air between them. That's what I'm seeing in the EZNEC model I just hacked, and it's as I'd expect. The currents near the ends of the central element are considerably higher than the currents near the open ends of the outer elements. (Now to spend a few minutes playing with changing the length of the stubs through resonance...) Cheers, Tom |
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#6
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Hi Tom,
K7ITM wrote in : .... I'm sorry...perhaps I don't understand your notation. Don't you I am taking a convention that the sense of currents in segments is from bottom to top. That means that I defined all segments in order from bottom to top. My notation ~= is to mean approximately equal. Does that clarify things? Cheers Owen |
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#7
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On Mar 16, 11:39*pm, Owen Duffy wrote:
Hi Tom, K7ITM wrote : ... I'm sorry...perhaps I don't understand your notation. *Don't you I am taking a convention that the sense of currents in segments is from bottom to top. That means that I defined all segments in order from bottom to top. My notation ~= is to mean approximately equal. Does that clarify things? Cheers Owen Yes--and then if they were exactly equal, would that not imply only transmission line current on the stub? Obviously, they are exactly equal if you simply connect the ends of the elements together...but that isn't what gets us to in-phase currents at the centers of each element (in the case of the symmetrical 3 element design; or the base current in the bottom quarter wave in phase with the center current in the top half wave...), and (nearly) equal currents at those current maxima. To the extent that the currents A and D in your diagram differ, there is common-mode or "antenna" current on the stub. Cheers, Tom |
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#8
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K7ITM wrote in
: .... Yes--and then if they were exactly equal, would that not imply only transmission line current on the stub? Obviously, they are exactly Thinking some more about it, my current thinking is that my analysis was flawed. I was using the standing wave currents, when I should be using the travelling wave components. I suspect that when NEC models the conductor arrangement at my fig a), it correctly accounts for propagation delay and the phase relationships compute correctly. If we replace the stub with a TL element, I suspect that NEC reduces the TL to a two port network and loads a segment of the vertical with an equivalent steady state impedance of the s/c stub network. If that is done, the reduction to a lumped load means that there is zero delay to travelling waves, and the computed currents (amplitude and phase) in the vertical will be incorrect. This means that you cannot replace a resonant stub with a high value of resistance, it doesn't work. If that is the case, it suggests that NEC cannot model such phasing schemes using TL elements. Owen |
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