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#1
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![]() "dansawyeror" wrote in message . .. The program coaxpair does not seem to compute the reflection angle. Is this an error? Is the cause known? Thanks - Dan ===================================== Dan, I don't know what you mean by "reflection angle". The program DOES compute the angle of the reflection coefficient. The answer is in the bottom left-hand corner of the screen. When the terminating impedance, Rt+jXt, equals line impedance, Ro+jXo, the magnitude of the reflection coefficient is zero. But zero magnitude cannot have an angle. Its a mathematical impossibility. But when RC = zero the program is obliged to print something for the angle, so it prints an indeterminate angle which can lie randomly anywhere between +180 and -180 degrees. Actually, you can't set the RC exactly to zero because the program only works to 14 decimal places. The randomly generated angle can't be used for anything because when the RC is zero there's nowhere in an equation to insert it. Just forget about it. It's meaningless. And even for a very small magnitude of RC the value of the angle doesn't matter very much. It has little effect on what is being calculated. ---- Reg. |
#2
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Reg,
I am dealing only with the open circuit case and trying to determine the reflection angle of the reflected signal at the source. In those cases the angle was always zero. However the angle calculated is the reflected angle at the termination. In the open circuit case that is zero. After making an error here between the effects of odd versus even quarter waves at the source I am getting closer to being able to measure the impedance of a loaded vertical 'in the shack'. At the moment this is limited to a single frequency 'close' to a frequency of interest. But even that is a triumph. Thanks for the reply. Dan Reg Edwards wrote: "dansawyeror" wrote in message . .. The program coaxpair does not seem to compute the reflection angle. Is this an error? Is the cause known? Thanks - Dan ===================================== Dan, I don't know what you mean by "reflection angle". The program DOES compute the angle of the reflection coefficient. The answer is in the bottom left-hand corner of the screen. When the terminating impedance, Rt+jXt, equals line impedance, Ro+jXo, the magnitude of the reflection coefficient is zero. But zero magnitude cannot have an angle. Its a mathematical impossibility. But when RC = zero the program is obliged to print something for the angle, so it prints an indeterminate angle which can lie randomly anywhere between +180 and -180 degrees. Actually, you can't set the RC exactly to zero because the program only works to 14 decimal places. The randomly generated angle can't be used for anything because when the RC is zero there's nowhere in an equation to insert it. Just forget about it. It's meaningless. And even for a very small magnitude of RC the value of the angle doesn't matter very much. It has little effect on what is being calculated. ---- Reg. |
#3
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dansawyeror wrote:
I am dealing only with the open circuit case and trying to determine the reflection angle of the reflected signal at the source. In those cases the angle was always zero. If you are trying to make real-world measurements, a true short-circuit (~zero) is actually easier to implement than a true open-circuit (~infinity) -- 73, Cecil http://www.qsl.net/w5dxp |
#4
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On Wed, 28 Dec 2005 08:00:51 -0800, dansawyeror
wrote: After making an error here between the effects of odd versus even quarter waves at the source I am getting closer to being able to measure the impedance of a loaded vertical 'in the shack'. At the moment this is limited to a single frequency 'close' to a frequency of interest. But even that is a triumph. Is that as hard as it looks? Take an example: You have an impedance meter to measure complex impedance at the frequency of interest, being 3.6MHz for the sake of the example. (This technique depends on the behaviour of the tranmission lines, you would want to be sure that the transmission lines are in good condition and work as characterised.) You measure the impedance 40-j15 for example looking into a cascade of 5m of RG58 and 50m of 9913 connected to the unknown load. The Z at the load end of the RG58 is 60.42-j20.13. That is the Z looking into the 9913. The Z at the load end of the 9913 is 41.94+j18.03. Is this the kind of thing you are trying to do? Bear in mind that you cannot know the characteristics of the lines etc to support the precision shown above. You also need to keep in mind the sensitivity of the results to changes in parameters to form a view of the confidence limits of your measurements. This took more time to write about than it did to find the results. Owen -- |
#5
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Owen,
Thanks for the example. I do not have an impedance meter. I do have a vector voltmeter that will read the phase and value of the reflected signal. The core problem is: How to measure and improve the performance of a loaded vertical. The unknowns are the value of ground and antenna resonance. Setting the coax to a 1/4 wave multiple was a way to remove its phase altering characteristics from the reflected signal at a frequency of interest. That seems to be working and is predictable to measure the 1/4 wave odd, open circuit, resonant points, etc. This simply proves consistent measurement and correct identification of the electrical cable length. I am pretty confident about the coax measurements at this time. Now on the to antenna. I am not what the reflected angle is from the antenna. The coaxpair program predicts it can vary 180 degrees for a purely resistive load. Thanks for your help - Dan Owen Duffy wrote: On Wed, 28 Dec 2005 08:00:51 -0800, dansawyeror wrote: After making an error here between the effects of odd versus even quarter waves at the source I am getting closer to being able to measure the impedance of a loaded vertical 'in the shack'. At the moment this is limited to a single frequency 'close' to a frequency of interest. But even that is a triumph. Is that as hard as it looks? Take an example: You have an impedance meter to measure complex impedance at the frequency of interest, being 3.6MHz for the sake of the example. (This technique depends on the behaviour of the tranmission lines, you would want to be sure that the transmission lines are in good condition and work as characterised.) You measure the impedance 40-j15 for example looking into a cascade of 5m of RG58 and 50m of 9913 connected to the unknown load. The Z at the load end of the RG58 is 60.42-j20.13. That is the Z looking into the 9913. The Z at the load end of the 9913 is 41.94+j18.03. Is this the kind of thing you are trying to do? Bear in mind that you cannot know the characteristics of the lines etc to support the precision shown above. You also need to keep in mind the sensitivity of the results to changes in parameters to form a view of the confidence limits of your measurements. This took more time to write about than it did to find the results. Owen -- |
#6
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On Wed, 28 Dec 2005 21:37:05 -0800, dansawyeror
wrote: Owen, Thanks for the example. I do not have an impedance meter. I do have a vector voltmeter that will read the phase and value of the reflected signal. If you mean relative to the forward wave, then you can calculate Z from that. The core problem is: How to measure and improve the performance of a loaded vertical. The unknowns are the value of ground and antenna resonance. Setting the coax to a 1/4 wave multiple was a way to remove its phase altering characteristics from the reflected signal at a frequency of interest. That seems to be working and is predictable to measure the 1/4 wave odd, open circuit, resonant points, etc. This simply proves consistent measurement and correct identification of the electrical cable length. I don't know that that is necessary or helpful. I am pretty confident about the coax measurements at this time. Now on the to antenna. I am not what the reflected angle is from the antenna. The coaxpair program predicts it can vary 180 degrees for a purely resistive load. Yes, the complex reflection coefficients for a 51+j0 ohm load and 49+j0 ohm load are both very small magnitude, and 180 deg different in phase. Don't worry about the reflection coefficient at the antenna, find what it is at the instrument interface, calculate the Z, and use one of the many calculators to work out what it is at the end of the line (they use the input reflection coefficient and propagation constant to do that, but they do it internally). You know that Gamma=(Zl-Zo)/(Zl+Zo), rearrange the terms to find Zl knowing Zo and Gamma, measure Gamma with your instrument, calculate Zl... and the rest is easy. Back to my worked example, if you instrument indicated Gamma was 0.195 -117 in 50ohms, you would calculate Z to be 40-j15... and go from there. What more do you need? Owen Thanks for your help - Dan Owen Duffy wrote: On Wed, 28 Dec 2005 08:00:51 -0800, dansawyeror wrote: After making an error here between the effects of odd versus even quarter waves at the source I am getting closer to being able to measure the impedance of a loaded vertical 'in the shack'. At the moment this is limited to a single frequency 'close' to a frequency of interest. But even that is a triumph. Is that as hard as it looks? Take an example: You have an impedance meter to measure complex impedance at the frequency of interest, being 3.6MHz for the sake of the example. (This technique depends on the behaviour of the tranmission lines, you would want to be sure that the transmission lines are in good condition and work as characterised.) You measure the impedance 40-j15 for example looking into a cascade of 5m of RG58 and 50m of 9913 connected to the unknown load. The Z at the load end of the RG58 is 60.42-j20.13. That is the Z looking into the 9913. The Z at the load end of the 9913 is 41.94+j18.03. Is this the kind of thing you are trying to do? Bear in mind that you cannot know the characteristics of the lines etc to support the precision shown above. You also need to keep in mind the sensitivity of the results to changes in parameters to form a view of the confidence limits of your measurements. This took more time to write about than it did to find the results. Owen -- -- |
#7
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On Thu, 29 Dec 2005 06:20:38 GMT, Owen Duffy wrote:
You know that Gamma=(Zl-Zo)/(Zl+Zo), rearrange the terms to find Zl knowing Zo and Gamma, measure Gamma with your instrument, calculate Zl... and the rest is easy. For avoidance of doubt, the Zl above is the z at the instrument interface. 'The rest is easy' is the process of working out Z at the antenna knowning z at the source end of a known transmission line. Back to my worked example, if you instrument indicated Gamma was 0.195 -117 in 50ohms, you would calculate Z to be 40-j15... and go from there. Meaning the rest of my example which led to a antenna z of 41.94+j18.03 What more do you need? Owen -- |
#8
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On Wed, 28 Dec 2005 21:37:05 -0800, dansawyeror
wrote: Owen, Thanks for the example. I do not have an impedance meter. I do have a vector voltmeter that will read the phase and value of the reflected signal. The core problem is: How to measure and improve the performance of a loaded vertical. The unknowns are the value of ground and antenna resonance. Setting the coax to a 1/4 wave multiple was a way to remove its phase altering characteristics from the reflected signal at a frequency of interest. That seems to be working and is predictable to measure the 1/4 wave odd, open circuit, resonant points, etc. This simply proves consistent measurement and correct identification of the electrical cable length. You're making this way too complex (pun intended).. Why not just connect the coax to the bridge and put your open-short-load standards on the far end and do the calibration? Or move the instrument out in the field? For example: http://users.triconet.org/wesandlinda/Field_8405_a.jpg |
#9
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On Thu, 29 Dec 2005 00:53:44 -0700, Wes Stewart
wrote: You're making this way too complex (pun intended).. Why not just connect the coax to the bridge and put your open-short-load standards on the far end and do the calibration? Or move the instrument out in the field? Wes, I have been guessing that Dan wants to measure the antenna over a band of frequencies, and doesn't want to be popping up to the feedpoint for every frequency cal. No doubt, the process you propose Wes is simpler and more accurate, if it is physically convenient. Would calibration against a single s/c standard be accurate enough for the purpose at hand. Perhaps a coax relay at the antenna feedpoint to switch between a s/c port and the real load might be accurate enough for calibration, and a whole lot more convenient. IIRC there is only around 0.4dB of line loss from the shack (ie the desired VVM location) to the feedpoint. Dan, I think you have gotten on a sidetrack about building the transmission line out to a tuned length. It is not necessary, or even desirable as far as I can see, but it has the downside of complicating the calcs and increasing scope for errors when you build out with a different line type. Owen -- |
#10
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![]() "Owen Duffy" wrote in message ... On Thu, 29 Dec 2005 00:53:44 -0700, Wes Stewart wrote: You're making this way too complex (pun intended).. Why not just connect the coax to the bridge and put your open-short-load standards on the far end and do the calibration? Or move the instrument out in the field? Wes, I have been guessing that Dan wants to measure the antenna over a band of frequencies, and doesn't want to be popping up to the feedpoint for every frequency cal. No doubt, the process you propose Wes is simpler and more accurate, if it is physically convenient. Would calibration against a single s/c standard be accurate enough for the purpose at hand. Perhaps a coax relay at the antenna feedpoint to switch between a s/c port and the real load might be accurate enough for calibration, and a whole lot more convenient. IIRC there is only around 0.4dB of line loss from the shack (ie the desired VVM location) to the feedpoint. Dan, I think you have gotten on a sidetrack about building the transmission line out to a tuned length. It is not necessary, or even desirable as far as I can see, but it has the downside of complicating the calcs and increasing scope for errors when you build out with a different line type. Owen Wes, and Owen, This problem of how to resolve the terminating impedance seems so simple that I realize that I (again) must be missing something. Wouldnt it be accurate enough for Dan to record the impedance at his coupler for two conditions, 1) short circuit at the antenna end of the coax, and 2) the antenna connected. Plot both impedances on a Smith Chart. Since the impedance associated with the short is known to be zero, he needs only to rotate *both* impedances thru the same angle needed to place the short ckt impedance at zero on the smith Chart. Jerry |
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