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#1
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Paul wrote:
"Roy Lewallen" wrote in message ... [...] Coaxial lines do, however, have an interesting characteristic not shared by other kinds -- the differential and common mode components aren't simply a mathematical convenience, but are actually physically separate. If we do the analysis described above, we find that the common mode current equals the current on the outside of the shield and the differential current equals the current on the inside. As Owen pointed out, the differential current is solely on the inside of the shield and the common mode current solely on the outside. While this makes the effects of each mode current easier to visualize and sometimes to measure, the net effects of common mode and differential currents are exactly the same for coaxial and non-coaxial lines. Owen Duffy wrote: In the case of coax, so-called common mode current flows only on the outside of the outer conductor, and differential mode current flows only on the inside of the outer conductor and outside of the inner conductor. I assume that you are talking about a length of coax that is attached to a free-space antenna. What about the case where the coax shield is grounded at both ends? (make it a non-ideal ground if you like.) Wouldn't this create a ground-loop that will cause some of the signal current to flow through the ground-connection, thus unbalancing the center-conductor/shield current? In this case, the common-mode current isn't necessarily flowing on the outside of the shield. (I am asking a question here). A tricky part in answering this is determining what you mean by "shield current". There are separate and distinct currents on the inside and outside of the shield. I'll assume that by "shield current" you mean the vector sum of these two currents. The first part of the answer is that the current on the outside of the inner conductor is always equal to the current on the inside of the shield, and in the opposite direction (that is to say, they comprise a pure differential current), provided that the shield is at least several skin depths thick. This is a consequence of the confinement of the field by the shield, and has nothing to do with what we connect the cable to. Connections only impact the current on the outside. Now consider what happens when the coax is connected to a free-space dipole, for example. All the current from the center conductor flows into one half the dipole. But the current on the inside of the shield has two possible paths: to the other half of the dipole or around the end of the shield to the outside of the shield. I won't go into more detail about this, since I've already done so -- you can see what I've written at http://eznec.com/Amateur/Articles/Baluns.pdf. If you "ground" both ends of the coax, that is, connect them to conductors which provide another path between the two ends, you have a third path the inner shield can follow -- along the "ground" path. So it splits three ways instead of two. If you use a "pigtail" wire for grounding or connecting to the load, it adds inductance to the desired path to the load, which makes the path back along the outside of the coax more desirable, so you end up with more common mode current than you would with a low impedance connection. Also, consider the case at frequencies low enough that skin-effect doesn't apply. Here there is no inside or outside of the coax shield. Still, the magnetic fields caused by imbalance between center-conductor and shield currents are the same, with or without skin effect. I'm not sure I follow this. When the frequency gets low enough that the field can penetrate the shield, the line behaves more like a twinlead line behaves at HF. As I mentioned in my earlier posting, the line can still have common and differential mode currents -- they're just no longer physically separated. At least these are the thoughts I had while I was discussing the installation of antennas and tuners on boats. There is no end to the controversy surrounding the grounding of radio equipment on a boat. There the antennas are typically end-fed wires (usually part of the rigging), and some combination of radials and seawater connection for the RF counterpoise. Grounding would be much easier to understand if people would realize that calling a conductor or connection "ground" doesn't impart magical qualities. And that currents flow wherever the impedance dictates. Roy Lewallen, W7EL |
#2
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![]() "Roy Lewallen" wrote in message ... Paul wrote: I assume that you are talking about a length of coax that is attached to a free-space antenna. What about the case where the coax shield is grounded at both ends? (make it a non-ideal ground if you like.) Wouldn't this create a ground-loop that will cause some of the signal current to flow through the ground-connection, thus unbalancing the center-conductor/shield current? In this case, the common-mode current isn't necessarily flowing on the outside of the shield. (I am asking a question here). A tricky part in answering this is determining what you mean by "shield current". There are separate and distinct currents on the inside and outside of the shield. I'll assume that by "shield current" you mean the vector sum of these two currents. The first part of the answer is that the current on the outside of the inner conductor is always equal to the current on the inside of the shield, and in the opposite direction (that is to say, they comprise a pure differential current), provided that the shield is at least several skin depths thick. This is a consequence of the confinement of the field by the shield, and has nothing to do with what we connect the cable to. Connections only impact the current on the outside. Now consider what happens when the coax is connected to a free-space dipole, for example. All the current from the center conductor flows into one half the dipole. But the current on the inside of the shield has two possible paths: to the other half of the dipole or around the end of the shield to the outside of the shield. I won't go into more detail about this, since I've already done so -- you can see what I've written at http://eznec.com/Amateur/Articles/Baluns.pdf. If you "ground" both ends of the coax, that is, connect them to conductors which provide another path between the two ends, you have a third path the inner shield can follow -- along the "ground" path. So it splits three ways instead of two. If you use a "pigtail" wire for grounding or connecting to the load, it adds inductance to the desired path to the load, which makes the path back along the outside of the coax more desirable, so you end up with more common mode current than you would with a low impedance connection. Yes, this agrees with what I have been thinking, and what I was trying to say. Also, consider the case at frequencies low enough that skin-effect doesn't apply. Here there is no inside or outside of the coax shield. Still, the magnetic fields caused by imbalance between center-conductor and shield currents are the same, with or without skin effect. I'm not sure I follow this. When the frequency gets low enough that the field can penetrate the shield, the line behaves more like a twinlead line behaves at HF. As I mentioned in my earlier posting, the line can still have common and differential mode currents -- they're just no longer physically separated. Grounding would be much easier to understand if people would realize that calling a conductor or connection "ground" doesn't impart magical qualities. And that currents flow wherever the impedance dictates. Again, I agree. The reason I suggested a "non-ideal ground" was to de-magic it. We do need to recognize some non-zero impedances on the grounds and shields, and their connections, if we are to analyze how the current splits. The reason for the low-frequency question is that on the boat installations I've been discussing, there are multiple signal sources and some very non-ideal grounds. The signal sources include DC (due to how the electrical equipment is usually wired), and relatively low frequency signals, sometimes carried on cables in very close proximity to the coax. There is also the RF field from the close-in antenna and RF grounding system. I've been stating that the coax shield does *not* provide a magic shield. Your comparison to twinlead at low frequencies (for current, and thus for inductive coupling), confirms what I have been saying. These superimposed low-frequency currents don't affect the RF situation, but they can affect the equipment itself. Regards, -Paul (wb6cxc) |
#3
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Getting back to the original problem.
Most autotuners can't cope with impedances of less than 5 or 6 ohms. As you are near that limit even a slight increase in antenna height may facilitate correct tuning. In order to improve the antenna balance and RX S/N ratio. Put a good quality ferrite common mode chokes on the Coax and control cables going into the tuner (I suggest either 50 ferrite beads over the coax or 10 turns of coax on a ferrite ring as a minimum) If you wish to earth the coax do it on the transmitter side of the choke. A few turns of coax will not provide sufficient choking impedance at 3.8MHz. The purpose of this is to 'float' the tuner above RF earth so that the output apears to be balanced. By putting the choke on the input side of the tuner, it is always working at a constant impedance thus minimising losses. UKM On Oct 30, 2:42 pm, "Paul" wrote: "Roy Lewallen" wrote in message ... Paul wrote: I assume that you are talking about a length of coax that is attached to a free-space antenna. What about the case where the coax shield is grounded at both ends? (make it a non-ideal ground if you like.) Wouldn't this create a ground-loop that will cause some of the signal current to flow through the ground-connection, thus unbalancing the center-conductor/shield current? In this case, the common-mode current isn't necessarily flowing on the outside of the shield. (I am asking a question here). A tricky part in answering this is determining what you mean by "shield current". There are separate and distinct currents on the inside and outside of the shield. I'll assume that by "shield current" you mean the vector sum of these two currents. The first part of the answer is that the current on the outside of the inner conductor is always equal to the current on the inside of the shield, and in the opposite direction (that is to say, they comprise a pure differential current), provided that the shield is at least several skin depths thick. This is a consequence of the confinement of the field by the shield, and has nothing to do with what we connect the cable to. Connections only impact the current on the outside. Now consider what happens when the coax is connected to a free-space dipole, for example. All the current from the center conductor flows into one half the dipole. But the current on the inside of the shield has two possible paths: to the other half of the dipole or around the end of the shield to the outside of the shield. I won't go into more detail about this, since I've already done so -- you can see what I've written at http://eznec.com/Amateur/Articles/Baluns.pdf. If you "ground" both ends of the coax, that is, connect them to conductors which provide another path between the two ends, you have a third path the inner shield can follow -- along the "ground" path. So it splits three ways instead of two. If you use a "pigtail" wire for grounding or connecting to the load, it adds inductance to the desired path to the load, which makes the path back along the outside of the coax more desirable, so you end up with more common mode current than you would with a low impedance connection. Yes, this agrees with what I have been thinking, and what I was trying to say. Also, consider the case at frequencies low enough that skin-effect doesn't apply. Here there is no inside or outside of the coax shield. Still, the magnetic fields caused by imbalance between center-conductor and shield currents are the same, with or without skin effect. I'm not sure I follow this. When the frequency gets low enough that the field can penetrate the shield, the line behaves more like a twinlead line behaves at HF. As I mentioned in my earlier posting, the line can still have common and differential mode currents -- they're just no longer physically separated. Grounding would be much easier to understand if people would realize that calling a conductor or connection "ground" doesn't impart magical qualities. And that currents flow wherever the impedance dictates. Again, I agree. The reason I suggested a "non-ideal ground" was to de-magic it. We do need to recognize some non-zero impedances on the grounds and shields, and their connections, if we are to analyze how the current splits. The reason for the low-frequency question is that on the boat installations I've been discussing, there are multiple signal sources and some very non-ideal grounds. The signal sources include DC (due to how the electrical equipment is usually wired), and relatively low frequency signals, sometimes carried on cables in very close proximity to the coax. There is also the RF field from the close-in antenna and RF grounding system. I've been stating that the coax shield does *not* provide a magic shield. Your comparison to twinlead at low frequencies (for current, and thus for inductive coupling), confirms what I have been saying. These superimposed low-frequency currents don't affect the RF situation, but they can affect the equipment itself. Regards, -Paul (wb6cxc)- Hide quoted text - - Show quoted text - |
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