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Part 15 AM Antenna Systems

An email was sent to me asking about the relative performance of 3-m verticals with and without loading coils and ground connections. Following is my response based on study of the subject in standard antennna engineering textbooks and related papers, NEC evaluations, and career experience.

+ + +

NEC calculates the intrinsic radiation patterns and directivity for a "wire structure" having specified sources and loads at defined locations, and also reports its drivepoint Z (among other things). So the pattern and gain of the 3-m vertical alone is always the same for a given set of conditions, regardless of whatever networks precede it.

With no loading coil, the input reactance of a 3-m vertical on 1700 kHz is >3,000 ohms (capacitive). Of course, no practical tx can deliver much power into such a large impedance mismatch. Most of the tx power generated is converted to heat in the output amplifier and the transmission line to the antenna. The amount radiated from the antenna is very low.

With the loading coil the input reactance of the antenna can be set to ~zero, albeit with some added R in the coil. But even with the I^2R loss of the coil, much more of the available tx power can be delivered to the load connected to the tx.

All comments above are independent of ground considerations. The resistance of the ground connection produces I^2R loss in the r-f current available from the tx, and so reduces the power reaching the radiator -- whether or not the radiator is resonant.

And the resistance in the ground connection is not just to the earth, itself, but to the r-f currents induced into the earth by radiation from the antenna. That is why a vertical using a proper radial ground system produces much greater fields than if all of that copper in the radials was buried in one mass, under the radiator. The radial conductors have to be buried where they can collect most of the r-f ground currents from the radiator, and return them to the ground terminal reference of the tx/antenna system with minimal loss. This is a subtle, but very important point.
//
 
>
> And the resistance in the ground connection is not just to
> the earth, itself, but to the r-f currents induced into the
> earth by radiation from the antenna. That is why a vertical
> using a proper radial ground system produces much greater
> fields than if all of that copper in the radials was buried
> in one mass, under the radiator. The radial conductors have
> to be buried where they can collect most of the r-f ground
> currents from the radiator, and return them to the ground
> terminal reference of the tx/antenna system with minimal
> loss. This is a subtle, but very important point.
> //
>
Hi,

I have a question regarding the above from your post. Since the function of the buried radials is to collect RF currents from the earth, are buried radials which are 10 feet or so in length effective at AM frequencies for part 15 work? In other words, is it worth the effort to install them versus using just a ground rod? You did say radials are better than copper massed under the antenna but I am interested in your estimate as to how much better in this situation.

Thanks,

Neil
 
> Since the function of the buried radials is to collect RF currents
> from the earth, are buried radials which are 10 feet or so
> in length effective at AM frequencies for part 15 work? In
> other words, is it worth the effort to install them versus
> using just a ground rod? You did say radials are better
> than copper massed under the antenna but I am interested in
> your estimate as to how much better in this situation.
______________

One reference work shows that for a radiator height of 0.1 wavelength, the current flowing along 8 buried radials falls to <5% of its maximum value beyond a radial length exceeding 0.15 wavelengths. For 32 radials the <5% current level doesn't occur until past 0.5 wavelengths.

So longer radials collect more current per radial, and the total of the current collected by the radials is multiplied by the larger number of radials in the system. Also there is not much advantage in using long radials if only a few are used. They might as well be short, because longer ones collect relatively less current if only a few are used.

The effect of the radial ground is to reduce the base Z of the antenna system feedpoint. For example, the calculated feedpoint Z of a 0.15-wave vertical with 0.15-wave radials was 48.5 +j24 ohms with 8 radials, 45 +j6.4 with 32 radials, and 43.9 -j1.6 with 124 radials. The lower R term means that the antenna is more efficient, as efficiency is the ratio of the radiation resistance of the antenna to the total resistance at the feedpoint.

A radial ground system needs to installed with the radiator at its center. The r-f currents induced in the ground occur uniformly around the vertical out to at least 0.5 wavelengths, and those are the currents that the radials must collect. A radial ground installed in the back yard, and used with a vertical in the front yard will be of very limited value.
//
 
> In other words, is it worth the effort to install
> them (radials) versus using just a ground rod?
________________________

I forgot to respond directly to this question.

Yes, it is worth the effort because a ground rod, or even 4-6 of them connected together around the base of the vertical are not very efficient at collecting all the r-f ground current.

Significant ground currents are present out to at least 0.5-wave radius around the vertical radiator. If they must travel more than a short distance through the earth (which is a poor conductor) to reach the ground rod(s) at the base of the radiator, much of that current will just heat up the earth rather than return to the antenna system.

This is the equivalent of inserting a series resistor in the lead between the tx r-f output connector and the antenna.
//
 
> > In other words, is it worth the effort to install
> > them (radials) versus using just a ground rod?
> ________________________
>
> I forgot to respond directly to this question.
>
> Yes, it is worth the effort because a ground rod, or even
> 4-6 of them connected together around the base of the
> vertical are not very efficient at collecting all the r-f
> ground current.
>
> Significant ground currents are present out to at least
> 0.5-wave radius around the vertical radiator. If they must
> travel more than a short distance through the earth (which
> is a poor conductor) to reach the ground rod(s) at the base
> of the radiator, much of that current will just heat up the
> earth rather than return to the antenna system.
>
> This is the equivalent of inserting a series resistor in the
> lead between the tx r-f output connector and the antenna.
> //
>

So if I understand correctly, for best results I should use 120 1/2-wave radials evenly spaced around the base of my ground-mounted antenna for best results (i.e. highest field strength at a specified distance and/or least/slowest ground losses as you go farther out, while still staying within the LETTER of 15.219 (100mW into final amplifier stage, 3m antenna+transmissionline+groundlead), over level ground, correct?

So let's say I have limited space (for example, 120 feet by 40 feet or so, over ground that is mostly dry dirt with some rocks here and there (there is a septic leech line underneath but I don't think my local ground conductivity comes ANYWHERE close to 5000), on somewhat of a slope with a flat area on part of it. What would you recommend in that case?
 
> So if I understand correctly, for best results I should use
> 120 1/2-wave radials evenly spaced around the base of my
> ground-mounted antenna for best results (i.e. highest field
> strength at a specified distance and/or least/slowest ground
> losses as you go farther out, while still staying within the
> LETTER of 15.219 (100mW into final amplifier stage, 3m
> antenna+transmissionline+groundlead), over level ground,
> correct?

Yes. Although fewer & shorter buried radials still would be preferable to using several paralleled "ground rods" around the base of the antenna.

> So let's say I have limited space (for example, 120 feet by
> 40 feet or so, over ground that is mostly dry dirt with some
> rocks here and there (there is a septic leech line
> underneath but I don't think my local ground conductivity
> comes ANYWHERE close to 5000), on somewhat of a slope with a
> flat area on part of it. What would you recommend in that
> case?

Really, NO ground conductivity approaches 5,000 mS/m. That is the conductivity of sea water. But a ground system consisting of ~ 120 >1/4-wave buried radials will produce very nearly the theoretical peak field possible from a MW vertical radiator, regardless of the conductivity of the earth in which the radials are buried.

Probably the best radial ground system performance you can get for your constraints is to bury about 32 evenly-spaced radials around the base of your vertical, and extend them as far as your lot limit permits. If you have the budget for them, you could terminate the shorter ones at their far ends with vertical "ground rods," although probably that won't make a huge difference.

Thanks for your questions.
//





<P ID="edit"><FONT class="small">Edited by rfry on 02/07/06 01:51 AM.</FONT></P>
 
> A radial ground system needs to installed with the radiator at its center.
> The r-f currents induced in the ground occur uniformly around the vertical
> out to at least 0.5 wavelengths, and those are the currents that the radials > must collect.
> A radial ground installed in the back yard, and used with a vertical in the
> front yard will be of very limited value.

What if I don't mind some directionalising?
What if I throw some radii into the water from the dock of my waterfront home
just to reach up and down the canal and across the canal?
I do not care about the area in the direction from the dock to my house and beyond.<P ID="signature">______________
Proud 2 B a pioneering satellite radio subs¢riber
Ai4i is always on the trailing edge of technology
_______________</P>
 
> What if I don't mind some directionalising?
> What if I throw some radii into the water from the dock of
> my waterfront home just to reach up and down the canal and
> across the canal? I do not care about the area in the
> direction from the dock to my house and beyond.
____________

Most of the currents that the radials need to collect are present in the ground in all directions from a vertical radiator out to at least a 1/2 wavelength. If the radials are missing from some sector of that, the currents from that sector are not returned to the tx/antenna system, and that reduces radiation from the vertical in ALL directions, not just in the sector with no radials.

If your canal is salt water, your coverage along it will be better than along an earth path, due to the higher conductivity of the water. So although it won't be its most efficient, a system with a few radials, or even a ground rod may cover all the area you care about.
//
 
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