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#1
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45' high, 25.8 sloping wire at the top, 29 feet high at the far end. #12
THHN Insulated copper wire, stranded. Predicted Radiation Resistance: 25.8 ohms, very good ground (rich pastoral, midwest). With no radials, I get a flat 50 ohm match at 3595 khz. Obviously this would indicate ground losses of approximately 25 ohms, if I'm thinking about this right. Also, predicted efficiency would then be 50 % (25/(25+25), indicating a 3 dB loss. Forgetting about fresnel region losses, this seems to be better than I had expected. 2:1 vswr bandwidth is very broad....broader than what I get with EZnec 4.x with a 25 ohm load in the base. This means one of two things to me: Either my ground losses are much higher than the 25 ohms I'm indirectly calculating, or I have made some sort of conceptual error in thinking about what the implications are of a 25 or 26 ohm feedpoint. All my references point toward a 25 ohm radiation resistance for my 42' vertical x 25.8 ft inverted L (with sloping top wire instead of flat top wire). What is wrong with my logic here? If the R(rad) is 25 ohms, and I measure a flat VSWR (on two other meters) at 3600 khz, then isn't the remaining 25 ohms, ground loss? I also show about 37 ohms resistance and 0 ohms reactance at 3600 khz with my MFJ-269, which is really confusing, in that if I have 25 ohms for Rrad, then I have 13 ohms of ground losses. Further, 37 ohms is around 1.3 to 1. So I have two other vswr meters showing 1:1 at 3600, and the MFJ showing 37 ohms. This is a pretty large percentage difference. I would be inclined to believe the 25.8 ohms predicted by both EZnec 4 and the Low Band DX'rs Handbook. In any case, I'll put out 4 radials tomorrow morning and repeat all my measurements, looking for narrowing bandwidth and lowered input Z as my ground losses decrease. Ultimately, I'm going to put down 16, 66' radials, in steps of four, taking measurements of input Z (mfj-269) and vswr bandwidth for 2:1, at 0,4,8 and 16 radials. I'll report what happens as I go along. Anywho, without any radials at all there are quite a few distant signals on 80m this evening, that are consistently louder on the newly installed inverted L, than on my Carolina Windom at 45'. Most signals as one pans the band, are louder (at 2 hours after sunset) on the C. Windom than on the radial-less inverted L, but ones from several states away are equal or better on the radial-less inverted L. Both seem to make good sense at this point. I sure will be interested to see the effects of 4 and then 8 and on up radials, but that is going to take a few days, because I don't want to make radial changes unless I have access to low angle signals, which only happens at night or just before sunrise. Tomorrow is radial day. I will be laying out 4 radials 65' long to begin with. I have resistance and reactance measurements every 50 khz as a baseline, before installing radials. 4 in the early morning, 4 more just before sunset, then 4 more the next morning, and the final 4 the next evening. #14 THHN stranded insulated copper wire for the radials, btw. Depending on what I end up seeing for "effect" I'll go to 24 or 32 radials by winter....but only if the improvement is both measurable and "observable on the air"...radials are a pain in the rear (or more accurately, the knees) to put in. What fun! ....hasan, N0AN |
#2
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Starting point for the inverted L with sloping top loading wire.
45' high, 25.8' sloping wire at the top, 29 feet high at the far end. #12 THHN Insulated copper wire, stranded. Mounted 7" above the earth, directly to a 3' ground rod (strictly for mechanical support, as I had a prefab mount with 3/8x24 on one end and SO-29 on the other) Predicted Radiation Resistance (Devoldere): 25.8 ohms, very good ground (rich pastoral, midwest). I see I had confused feedpoint impedance and radiation resistance (after reading some more in Devoldere's "Low-Band DX'ing") According to Figure 9-94, the radiation resistance for my inverted L is approximately 25 ohms. According to EZnec 4.1, source data says: Impedance = 25.58 + J 1.872 ohms at 3600 khz. When I measure the antenna with the MFJ-269, I get: R=37 and X=0 If Devoldere and EZNEC are correct (although EZNEC may or may not be measuring radiation resistance), then my radial-less inverted L is showing ground losses of 37-25=12 ohms. If so, then my efficiency, without radials is: 25/(25+12) or 25/37 or approximately 67%. Before installing radials this morning, I just want to make sure I'm looking at the right variables and interpreting them properly. 4 radials, laying on the ground, will be ready to install when the sun comes up. 4 more later in the day, etc., up to a total of 16 (the amount of wire I have ready to go). Each time I put down 4, I'll take another measurement with the 269. For kicks, I might take a measurement with just one or two first. ....hasan, N0AN |
#3
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At what point in the system are you making your measurements?
hasan schiers wrote: 45' high, 25.8 sloping wire at the top, 29 feet high at the far end. #12 THHN Insulated copper wire, stranded. Predicted Radiation Resistance: 25.8 ohms, very good ground (rich pastoral, midwest). With no radials, I get a flat 50 ohm match at 3595 khz. Obviously this would indicate ground losses of approximately 25 ohms, if I'm thinking about this right. Also, predicted efficiency would then be 50 % (25/(25+25), indicating a 3 dB loss. Forgetting about fresnel region losses, this seems to be better than I had expected. 2:1 vswr bandwidth is very broad....broader than what I get with EZnec 4.x with a 25 ohm load in the base. This means one of two things to me: Either my ground losses are much higher than the 25 ohms I'm indirectly calculating, or I have made some sort of conceptual error in thinking about what the implications are of a 25 or 26 ohm feedpoint. All my references point toward a 25 ohm radiation resistance for my 42' vertical x 25.8 ft inverted L (with sloping top wire instead of flat top wire). What is wrong with my logic here? If the R(rad) is 25 ohms, and I measure a flat VSWR (on two other meters) at 3600 khz, then isn't the remaining 25 ohms, ground loss? I also show about 37 ohms resistance and 0 ohms reactance at 3600 khz with my MFJ-269, which is really confusing, in that if I have 25 ohms for Rrad, then I have 13 ohms of ground losses. Further, 37 ohms is around 1.3 to 1. So I have two other vswr meters showing 1:1 at 3600, and the MFJ showing 37 ohms. This is a pretty large percentage difference. I would be inclined to believe the 25.8 ohms predicted by both EZnec 4 and the Low Band DX'rs Handbook. In any case, I'll put out 4 radials tomorrow morning and repeat all my measurements, looking for narrowing bandwidth and lowered input Z as my ground losses decrease. Ultimately, I'm going to put down 16, 66' radials, in steps of four, taking measurements of input Z (mfj-269) and vswr bandwidth for 2:1, at 0,4,8 and 16 radials. I'll report what happens as I go along. Anywho, without any radials at all there are quite a few distant signals on 80m this evening, that are consistently louder on the newly installed inverted L, than on my Carolina Windom at 45'. Most signals as one pans the band, are louder (at 2 hours after sunset) on the C. Windom than on the radial-less inverted L, but ones from several states away are equal or better on the radial-less inverted L. Both seem to make good sense at this point. I sure will be interested to see the effects of 4 and then 8 and on up radials, but that is going to take a few days, because I don't want to make radial changes unless I have access to low angle signals, which only happens at night or just before sunrise. Tomorrow is radial day. I will be laying out 4 radials 65' long to begin with. I have resistance and reactance measurements every 50 khz as a baseline, before installing radials. 4 in the early morning, 4 more just before sunset, then 4 more the next morning, and the final 4 the next evening. #14 THHN stranded insulated copper wire for the radials, btw. Depending on what I end up seeing for "effect" I'll go to 24 or 32 radials by winter....but only if the improvement is both measurable and "observable on the air"...radials are a pain in the rear (or more accurately, the knees) to put in. What fun! ...hasan, N0AN |
#4
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Question: Where was I taking my measurements.
I started out at the actual feedpoint...then put in about 55' of LMR-400, and started a new set of measurements in the shack. Here is the latest data: Radials 2:1 Fo 2:1 BW Z VSWR @ Fo 0 3340 3522 3920 580 36,0 1.3 2 3354 3524 3774 420 45,0 1.0 4 3419 3533 3741 322 60,1 1.2 8 3445 3550 3742 297 65,4 1.3 The formatting is bad, but in order, left to right: Number of Radials Lower 2:1 vswr point Resonant Freq point Upper 2:1 point Bandwidth in kilohertz Impedance as shown on the MFJ 269 at resonance. I'm a bit confused by the rising feedpoint impedance with increasing number of radials. That seems backwards to me. 73, ....hasan, N0AN VSWR shown by MFJ 269 at resonance "Ham op" wrote in message ... At what point in the system are you making your measurements? hasan schiers wrote: 45' high, 25.8 sloping wire at the top, 29 feet high at the far end. #12 THHN Insulated copper wire, stranded. Predicted Radiation Resistance: 25.8 ohms, very good ground (rich pastoral, midwest). With no radials, I get a flat 50 ohm match at 3595 khz. Obviously this would indicate ground losses of approximately 25 ohms, if I'm thinking about this right. Also, predicted efficiency would then be 50 % (25/(25+25), indicating a 3 dB loss. Forgetting about fresnel region losses, this seems to be better than I had expected. 2:1 vswr bandwidth is very broad....broader than what I get with EZnec 4.x with a 25 ohm load in the base. This means one of two things to me: Either my ground losses are much higher than the 25 ohms I'm indirectly calculating, or I have made some sort of conceptual error in thinking about what the implications are of a 25 or 26 ohm feedpoint. All my references point toward a 25 ohm radiation resistance for my 42' vertical x 25.8 ft inverted L (with sloping top wire instead of flat top wire). What is wrong with my logic here? If the R(rad) is 25 ohms, and I measure a flat VSWR (on two other meters) at 3600 khz, then isn't the remaining 25 ohms, ground loss? I also show about 37 ohms resistance and 0 ohms reactance at 3600 khz with my MFJ-269, which is really confusing, in that if I have 25 ohms for Rrad, then I have 13 ohms of ground losses. Further, 37 ohms is around 1.3 to 1. So I have two other vswr meters showing 1:1 at 3600, and the MFJ showing 37 ohms. This is a pretty large percentage difference. I would be inclined to believe the 25.8 ohms predicted by both EZnec 4 and the Low Band DX'rs Handbook. In any case, I'll put out 4 radials tomorrow morning and repeat all my measurements, looking for narrowing bandwidth and lowered input Z as my ground losses decrease. Ultimately, I'm going to put down 16, 66' radials, in steps of four, taking measurements of input Z (mfj-269) and vswr bandwidth for 2:1, at 0,4,8 and 16 radials. I'll report what happens as I go along. Anywho, without any radials at all there are quite a few distant signals on 80m this evening, that are consistently louder on the newly installed inverted L, than on my Carolina Windom at 45'. Most signals as one pans the band, are louder (at 2 hours after sunset) on the C. Windom than on the radial-less inverted L, but ones from several states away are equal or better on the radial-less inverted L. Both seem to make good sense at this point. I sure will be interested to see the effects of 4 and then 8 and on up radials, but that is going to take a few days, because I don't want to make radial changes unless I have access to low angle signals, which only happens at night or just before sunrise. Tomorrow is radial day. I will be laying out 4 radials 65' long to begin with. I have resistance and reactance measurements every 50 khz as a baseline, before installing radials. 4 in the early morning, 4 more just before sunset, then 4 more the next morning, and the final 4 the next evening. #14 THHN stranded insulated copper wire for the radials, btw. Depending on what I end up seeing for "effect" I'll go to 24 or 32 radials by winter....but only if the improvement is both measurable and "observable on the air"...radials are a pain in the rear (or more accurately, the knees) to put in. What fun! ...hasan, N0AN |
#5
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If your antenna is over a PERFECT ground, an EM mirror, then the
mutually coupled impedance between the antenna and it's image antenna gets to be a bit difficult to calculate or estimate. The Apex and it's image are 80 feet apart. That is 107 degree spacing, and the ends are 77 degrees apart. The mutual impedance along the length of the antenna changes due to the difference in phase shift. Change from perfect reflecting ground to 'real' ground with varying conductivity and permittivity as a function of length, width and depth and the problem becomes much more complicated. Your measurements, in your location, with your installation indicate, to me, that your 8 radial solution is starting to converge to best solution. I say this for two reasons. Your 2:1 VSWR bandwidth is narrow and your Z is approaching 73 ohms. I would use the eight radial solution and trim the antenna length to your desired center frequency. Remember, a 2:1 VSWR indicates that 90% of your energy is going into the antenna. For the best analysis of your installation, the soil characteristics would have to be known and controlled for several wavelengths square and approximately 1/4 wavelength deep. Your radials [counterpoise] are simplifying and stabilizing your solution. Roy Llewellen is much better qualified than I to proceed deeper into the EM Physics regarding all the possible interactions. If the science of what's happening is your interest then contact Roy off-line [Roy, sorry to volunteer you without your consent]. If a brief understanding of possible contributing EM effects is your desire, then I hope this contributes to your understanding. Ham Op hasan schiers wrote: Question: Where was I taking my measurements. I started out at the actual feedpoint...then put in about 55' of LMR-400, and started a new set of measurements in the shack. Here is the latest data: Radials 2:1 Fo 2:1 BW Z VSWR @ Fo 0 3340 3522 3920 580 36,0 1.3 2 3354 3524 3774 420 45,0 1.0 4 3419 3533 3741 322 60,1 1.2 8 3445 3550 3742 297 65,4 1.3 The formatting is bad, but in order, left to right: Number of Radials Lower 2:1 vswr point Resonant Freq point Upper 2:1 point Bandwidth in kilohertz Impedance as shown on the MFJ 269 at resonance. I'm a bit confused by the rising feedpoint impedance with increasing number of radials. That seems backwards to me. 73, ...hasan, N0AN VSWR shown by MFJ 269 at resonance "Ham op" wrote in message ... At what point in the system are you making your measurements? hasan schiers wrote: 45' high, 25.8 sloping wire at the top, 29 feet high at the far end. #12 THHN Insulated copper wire, stranded. Predicted Radiation Resistance: 25.8 ohms, very good ground (rich pastoral, midwest). With no radials, I get a flat 50 ohm match at 3595 khz. Obviously this would indicate ground losses of approximately 25 ohms, if I'm thinking about this right. Also, predicted efficiency would then be 50 % (25/(25+25), indicating a 3 dB loss. Forgetting about fresnel region losses, this seems to be better than I had expected. 2:1 vswr bandwidth is very broad....broader than what I get with EZnec 4.x with a 25 ohm load in the base. This means one of two things to me: Either my ground losses are much higher than the 25 ohms I'm indirectly calculating, or I have made some sort of conceptual error in thinking about what the implications are of a 25 or 26 ohm feedpoint. All my references point toward a 25 ohm radiation resistance for my 42' vertical x 25.8 ft inverted L (with sloping top wire instead of flat top wire). What is wrong with my logic here? If the R(rad) is 25 ohms, and I measure a flat VSWR (on two other meters) at 3600 khz, then isn't the remaining 25 ohms, ground loss? I also show about 37 ohms resistance and 0 ohms reactance at 3600 khz with my MFJ-269, which is really confusing, in that if I have 25 ohms for Rrad, then I have 13 ohms of ground losses. Further, 37 ohms is around 1.3 to 1. So I have two other vswr meters showing 1:1 at 3600, and the MFJ showing 37 ohms. This is a pretty large percentage difference. I would be inclined to believe the 25.8 ohms predicted by both EZnec 4 and the Low Band DX'rs Handbook. In any case, I'll put out 4 radials tomorrow morning and repeat all my measurements, looking for narrowing bandwidth and lowered input Z as my ground losses decrease. Ultimately, I'm going to put down 16, 66' radials, in steps of four, taking measurements of input Z (mfj-269) and vswr bandwidth for 2:1, at 0,4,8 and 16 radials. I'll report what happens as I go along. Anywho, without any radials at all there are quite a few distant signals on 80m this evening, that are consistently louder on the newly installed inverted L, than on my Carolina Windom at 45'. Most signals as one pans the band, are louder (at 2 hours after sunset) on the C. Windom than on the radial-less inverted L, but ones from several states away are equal or better on the radial-less inverted L. Both seem to make good sense at this point. I sure will be interested to see the effects of 4 and then 8 and on up radials, but that is going to take a few days, because I don't want to make radial changes unless I have access to low angle signals, which only happens at night or just before sunrise. Tomorrow is radial day. I will be laying out 4 radials 65' long to begin with. I have resistance and reactance measurements every 50 khz as a baseline, before installing radials. 4 in the early morning, 4 more just before sunset, then 4 more the next morning, and the final 4 the next evening. #14 THHN stranded insulated copper wire for the radials, btw. Depending on what I end up seeing for "effect" I'll go to 24 or 32 radials by winter....but only if the improvement is both measurable and "observable on the air"...radials are a pain in the rear (or more accurately, the knees) to put in. What fun! ...hasan, N0AN |
#6
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Interesting observations.
The 2:1 swr points are only being mentioned to show that the bandwidth is narrowing with increasing number of radials. That makes sense. What doesn't make sense is the increasing feedpoint Z at resonance in response to increasing radial numbers. There could be some minor trimming, but 3 or 4 ohms reactance is probably close enough...the antenna is near resonance and the resistive component is not likely to change much by trimming the last 3 or 4 ohms of reactance out. The problem is, I can't explain the the 65 ohm feedpoint impedance. Most installations, start with a Z too high (because it includes ground losses), and as radials are added, the feedpoint Z drops (as the loss resistance disappears). This is the classical 1/4w ground mounted vertical case. You know when to stop adding radials when the measured feedpoint impedance at resonance is equal to the Z of the antenna over a "perfect" ground. Another way to accomplish the same thing is to keep adding radials until the 2:1 vswr bandwidth no longer narrows. I think I'm approaching that right now. The anomaly I'm trying to deal with is why the feedpoint Z has increased as I went from 0 to 2, to 4, to 8 radials, when it should have decreased. I wouldn't care a whit, if the terminal (end point) feedpoint Z was 65 ohms resistive with no reactive component. This is a technical element that I want to understand...no further changes are likely to make any real difference in performance. What is it Johnny Cochran said, "If the data don't fit, I just won't quit."? vbg 73, ....hasan, N0AN "Ham op" wrote in message news ![]() If your antenna is over a PERFECT ground, an EM mirror, then the mutually coupled impedance between the antenna and it's image antenna gets to be a bit difficult to calculate or estimate. The Apex and it's image are 80 feet apart. That is 107 degree spacing, and the ends are 77 degrees apart. The mutual impedance along the length of the antenna changes due to the difference in phase shift. Change from perfect reflecting ground to 'real' ground with varying conductivity and permittivity as a function of length, width and depth and the problem becomes much more complicated. Your measurements, in your location, with your installation indicate, to me, that your 8 radial solution is starting to converge to best solution. I say this for two reasons. Your 2:1 VSWR bandwidth is narrow and your Z is approaching 73 ohms. I would use the eight radial solution and trim the antenna length to your desired center frequency. Remember, a 2:1 VSWR indicates that 90% of your energy is going into the antenna. For the best analysis of your installation, the soil characteristics would have to be known and controlled for several wavelengths square and approximately 1/4 wavelength deep. Your radials [counterpoise] are simplifying and stabilizing your solution. Roy Llewellen is much better qualified than I to proceed deeper into the EM Physics regarding all the possible interactions. If the science of what's happening is your interest then contact Roy off-line [Roy, sorry to volunteer you without your consent]. If a brief understanding of possible contributing EM effects is your desire, then I hope this contributes to your understanding. Ham Op hasan schiers wrote: Question: Where was I taking my measurements. I started out at the actual feedpoint...then put in about 55' of LMR-400, and started a new set of measurements in the shack. Here is the latest data: Radials 2:1 Fo 2:1 BW Z VSWR @ Fo 0 3340 3522 3920 580 36,0 1.3 2 3354 3524 3774 420 45,0 1.0 4 3419 3533 3741 322 60,1 1.2 8 3445 3550 3742 297 65,4 1.3 The formatting is bad, but in order, left to right: Number of Radials Lower 2:1 vswr point Resonant Freq point Upper 2:1 point Bandwidth in kilohertz Impedance as shown on the MFJ 269 at resonance. I'm a bit confused by the rising feedpoint impedance with increasing number of radials. That seems backwards to me. 73, ...hasan, N0AN VSWR shown by MFJ 269 at resonance "Ham op" wrote in message ... At what point in the system are you making your measurements? hasan schiers wrote: 45' high, 25.8 sloping wire at the top, 29 feet high at the far end. #12 THHN Insulated copper wire, stranded. Predicted Radiation Resistance: 25.8 ohms, very good ground (rich pastoral, midwest). With no radials, I get a flat 50 ohm match at 3595 khz. Obviously this would indicate ground losses of approximately 25 ohms, if I'm thinking about this right. Also, predicted efficiency would then be 50 % (25/(25+25), indicating a 3 dB loss. Forgetting about fresnel region losses, this seems to be better than I had expected. 2:1 vswr bandwidth is very broad....broader than what I get with EZnec 4.x with a 25 ohm load in the base. This means one of two things to me: Either my ground losses are much higher than the 25 ohms I'm indirectly calculating, or I have made some sort of conceptual error in thinking about what the implications are of a 25 or 26 ohm feedpoint. All my references point toward a 25 ohm radiation resistance for my 42' vertical x 25.8 ft inverted L (with sloping top wire instead of flat top wire). What is wrong with my logic here? If the R(rad) is 25 ohms, and I measure a flat VSWR (on two other meters) at 3600 khz, then isn't the remaining 25 ohms, ground loss? I also show about 37 ohms resistance and 0 ohms reactance at 3600 khz with my MFJ-269, which is really confusing, in that if I have 25 ohms for Rrad, then I have 13 ohms of ground losses. Further, 37 ohms is around 1.3 to 1. So I have two other vswr meters showing 1:1 at 3600, and the MFJ showing 37 ohms. This is a pretty large percentage difference. I would be inclined to believe the 25.8 ohms predicted by both EZnec 4 and the Low Band DX'rs Handbook. In any case, I'll put out 4 radials tomorrow morning and repeat all my measurements, looking for narrowing bandwidth and lowered input Z as my ground losses decrease. Ultimately, I'm going to put down 16, 66' radials, in steps of four, taking measurements of input Z (mfj-269) and vswr bandwidth for 2:1, at 0,4,8 and 16 radials. I'll report what happens as I go along. Anywho, without any radials at all there are quite a few distant signals on 80m this evening, that are consistently louder on the newly installed inverted L, than on my Carolina Windom at 45'. Most signals as one pans the band, are louder (at 2 hours after sunset) on the C. Windom than on the radial-less inverted L, but ones from several states away are equal or better on the radial-less inverted L. Both seem to make good sense at this point. I sure will be interested to see the effects of 4 and then 8 and on up radials, but that is going to take a few days, because I don't want to make radial changes unless I have access to low angle signals, which only happens at night or just before sunrise. Tomorrow is radial day. I will be laying out 4 radials 65' long to begin with. I have resistance and reactance measurements every 50 khz as a baseline, before installing radials. 4 in the early morning, 4 more just before sunset, then 4 more the next morning, and the final 4 the next evening. #14 THHN stranded insulated copper wire for the radials, btw. Depending on what I end up seeing for "effect" I'll go to 24 or 32 radials by winter....but only if the improvement is both measurable and "observable on the air"...radials are a pain in the rear (or more accurately, the knees) to put in. What fun! ...hasan, N0AN |
#7
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I'm a bit confused by the rising feedpoint impedance with increasing
number of radials. That seems backwards to me. ============================= SWR increases the further the impedance, either HIGHER or LOWER, departs from 50 ohms. The only way to measure antenna input impedance is by means of an impedance bridge. Try one of the small antenna analysers. ---- Reg. |
#8
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That is exactly what I'm using Reg, and why I"m puzzled. I'm getting rising
feedpoint impedance with increasing numbers of radials. The 2:1 bandwidth is getting narrower, as it should, but what accounts for the increasing feedpoint impedance? MFJ-269 antenna analyzer is what generated the table I posted earlier. Very strange? ....hasan, N0AN "Reg Edwards" wrote in message ... I'm a bit confused by the rising feedpoint impedance with increasing number of radials. That seems backwards to me. ============================= SWR increases the further the impedance, either HIGHER or LOWER, departs from 50 ohms. The only way to measure antenna input impedance is by means of an impedance bridge. Try one of the small antenna analysers. ---- Reg. |
#9
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Hasan,
I think you are measuring the input impedance of an Inverted-L against a system of ground radials. You are trying to estimate the input resistance of the ground radials by subtracting the CALCULATED radiation resistance of the Inverted-L from the measured antenna input resistance. Excellent, there is no better way of doing it! First of all, the overall length of the antenna must be 1/4-wavelength resonant at the testing frequency such that its input impedance is PURELY RESISTIVE. The measured input resistance, of course, will be greater than the calculated radiation resistance referred to its base. The difference between them is the required input resistance of the ground radials. The hard part of the exercise is calculating the radiation resistance referred to the base of the Inverted-L. The radiation resistance is a very complicated function of the dimensions, overall length and height, of the antenna. However, for the purposes of estimating ground loss resistance, (it changes with rainfall and temperature of the season), the following approximation for radiation resistance is good enough. RadRes = 18 * ( 1 - Cos( Theta ) ) ohms, where Theta is an angle = 180 * H / ( H + L ) / Lambda degrees, H = height of vertical portion of Inverted-L, L = length of horizontal portion of Inverted-L and Lambda is the free-space wavelength. This formula applies ONLY when L+H is 1/4-wave resonant. Which is the condition under which you are working if you are doing the job correctly. You will not find the formula in the books of bible-writer Terman. Nor in any of the works of the other regular gurus. If you ask from where it came from, it came from one of my old notebooks and I worked it out for myself, years back. Bear in mind it is only an approximation. It would take 6 months to work out how precisely accurate it is and I don't have the time. But it's as least as accurate as you can make impedance measurements. I do hope I have copied it out correctly. By the way, as the number of your radials increases and the ground loss resistance gets very low, don't be surprised if you calculate negative values of ground loss resistance. ---- Reg, G4FGQ |
#10
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On Sat, 3 Sep 2005 09:27:52 -0500, "hasan schiers"
wrote: Question: Where was I taking my measurements. I started out at the actual feedpoint...then put in about 55' of LMR-400, and started a new set of measurements in the shack. Here is the latest data: Radials 2:1 Fo 2:1 BW Z VSWR @ Fo Hassan, Where are the radials (above ground, buried, how far)? I think you told us that they radial wire is insulated, is that correct? Why did you choose 66' long radials? Owen -- |
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