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#1
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Does anyone know why the distributed winding capacitance of a loop
antenna, or any inductor, degrades the efficiency? It would seem that a loop antenna with 100pF of winding capacitance in parallel with a external capacitor of 200pF would resonate at the same frequency as a antenna with no winding capacitance and a external capacitor of 300pF,but apparently that's not the case. The best explanation I got was that winding capacitance represents 'low Q' and a external tuning capacitor represents ' High Q' What is the difference between high and low Q, and why should a loop antenna with no winding capacitance perform any better than one with 50% of the total capacitance in the windings? Where is the energy loss? Thanks, -Bill |
#2
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On 28 Apr 2007 21:32:18 -0700, Bill Bowden
wrote: Does anyone know why the distributed winding capacitance of a loop antenna, or any inductor, degrades the efficiency? Hi Bill, For the usual reasons: Resistance (not capacitance). It would seem that a loop antenna with 100pF of winding capacitance in parallel with a external capacitor of 200pF would resonate at the same frequency as a antenna with no winding capacitance and a external capacitor of 300pF,but apparently that's not the case. It could be the case, your mileage may vary. The best explanation I got was that winding capacitance represents 'low Q' and a external tuning capacitor represents ' High Q' You got bum explanations then. What is the difference between high and low Q, and why should a loop antenna with no winding capacitance perform any better than one with 50% of the total capacitance in the windings? Where is the energy loss? It seems you may be, instead, writing about Unloaded and Loaded Q. Loaded Q would be that found in service (in the actual application, whatever that might be). Unloaded Q would be that found at the bench with no other attachments. The Loaded Q's lower value is due to the R of the "load" ...as it stands to reason. That load will be an antenna's radiation resistance (and any Ohmic loss of the structure). The energy loss is called radiation - if you do it right. 73's Richard Clark, KB7QHC |
#3
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On 29 abr, 06:32, Bill Bowden wrote:
Does anyone know why the distributed winding capacitance of a loop antenna, or any inductor, degrades the efficiency? It would seem that a loop antenna with 100pF of winding capacitance in parallel with a external capacitor of 200pF would resonate at the same frequency as a antenna with no winding capacitance and a external capacitor of 300pF,but apparently that's not the case. The best explanation I got was that winding capacitance represents 'low Q' and a external tuning capacitor represents ' High Q' What is the difference between high and low Q, and why should a loop antenna with no winding capacitance perform any better than one with 50% of the total capacitance in the windings? Where is the energy loss? Thanks, -Bill Hello Bill, I assume that you mean radiation efficiency (ratio between actual radiated power and total electrical input power). I think inter-winding capacitance does not decrease efficiency, it may only change the radiation pattern when the inter-winding capacitance is that much, that the current distribution in the coil is affected. This is almost the case with relative large loops. When you have a loop close to a halve wave, just the own capacitance is sufficient to get resonance (as with, for example, a halve wave dipole). Radiation efficiency may be reduced by losses in the insulation. When windings are close together, the Electric Field strength in the insulation can be that high, that loss becomes significant. This is mostly the case when windings are touching. Another thing can be corona discharge (that may in the end destroy your insulation). Best regards, Wim PA3DJS |
#4
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![]() "Bill Bowden" wrote in message oups.com... Does anyone know why the distributed winding capacitance of a loop antenna, or any inductor, degrades the efficiency? -Bill Hi Bill. I agree with your assertion that distributed winding capacitance degrades efficiency. My thoughts about this are ; Assume a 10 turn loop, between each turn there is a capacitance, so, you have a complete circuit, (L,C,R) there is current flowing through this circuit that is not flowing through the entire 10 turn loop. (this happens in the other 9 turns also) I think these extra currents flowing that don't make the entire 10 turn circuit increase the losses. Anyone care to run with that, or explain it more clearly, or shoot it down. Mike |
#5
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Bill Bowden wrote:
It would seem that a loop antenna with 100pF of winding capacitance in parallel with a external capacitor of 200pF would resonate at the same frequency as a antenna with no winding capacitance and a external capacitor of 300pF, but apparently that's not the case. The "100pF of winding capacitance" is NOT across the entire coil as is the 200pF external capacitor. When the operating frequency of a coil is more than ~15% of the self-resonant frequency, the lumped circuit model starts to fall apart. In your above example, the operating frequency is ~60% of the self-resonant frequency so you need to use the distributed network model (or Maxwell's equations). Quoting from an IEEE white paper about RF coils at: http://www.ttr.com/TELSIKS2001-MASTER-1.pdf "... lumped element circuit theory does not (and cannot) accurately embody a world of second order partial differential equations in space and time." "The concept of coil 'self-capacitance' is an attempt to circumvent transmission line effects on small coils when the current distribution begins to depart from its DC behavior. The notion has been developed by starting with Maxwell's equations and using only the first two terms in the Taylor series expansion for the distributed current to obtain an expression for the self-impedance of a generalized closed circuit. Upon extracting Neumann's formula for the self inductance, the remaining negative component of the reactance permits an expression for the coil self-capacitance. These formulae are valid for a PARALLEL combination of an inductance and a capacitance when the operating frequency is well below 1/SQRT(L*CL). They permit a coil with a SLIGHTLY nonuniform current distribution to be treated AS THOUGH THE CURRENT WERE UNIFORM and the coil was shunted with a lumped element capacitance." The author shows how to estimate the VF and Z0 of a coil that is operated at more than 15% of its self-resonant frequency. It can thus be modeled as a transmission line. The same author shows in his class notes at: http://www.ttr.com/corum/index.htm that the calculated self-resonant frequency of a particular coil based on the measured self-capacitance was in error by 65.2% when the "lumped-element assumption" was used. The calculated self-resonant frequency based on the transmission line distributed network model was within 5% of the measured self-resonant frequency. -- 73, Cecil http://www.w5dxp.com |
#6
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amdx wrote:
Assume a 10 turn loop, between each turn there is a capacitance, so, you have a complete circuit, (L,C,R) there is current flowing through this circuit that is not flowing through the entire 10 turn loop. (this happens in the other 9 turns also) Reminds me of a transmission line distributed network for which a velocity factor can be calculated. Anyone care to run with that, or explain it more clearly, or shoot it down. Please see my other reply where an IEEE white paper agrees with you. -- 73, Cecil http://www.w5dxp.com |
#7
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Wimpie wrote:
I think inter-winding capacitance does not decrease efficiency, it may only change the radiation pattern when the inter-winding capacitance is that much, that the current distribution in the coil is affected. This is almost the case with relative large loops. This is almost *always* the case with relatively large loops? -- 73, Cecil http://www.w5dxp.com |
#8
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On Sun, 29 Apr 2007 06:52:17 -0500, "amdx" wrote:
I agree with your assertion that distributed winding capacitance degrades efficiency. My thoughts about this are ; Assume a 10 turn loop, between each turn there is a capacitance, so, you have a complete circuit, (L,C,R) there is current flowing through this circuit that is not flowing through the entire 10 turn loop. (this happens in the other 9 turns also) I think these extra currents flowing that don't make the entire 10 turn circuit increase the losses. Hi Mike, Capacitance does not bring loss. Loss ALWAYS resides in Resistance and nothing else. Between you and Bill, there appears to be a fixation on the loopS (emphasis on there being more than one). If you are going to blame them (that emphasis on there being more than one), and try to tie it to loss (that emphasis being naturally in Resistance, not Capacitance); then it follows it is in the natural increase in conductor Resistance that occurs when wires are spaced closer than 3 or 4 wire diameters to each other. When wires (or loops in this case) are in close proximity, the magnetic field of the near wire (or loop in this case, and each loop in proximity to the next) FORCES the current in that loop to the surface of the wire - INCREASING that conductor's Skin Resistance. Loss thus increases by proximity. Capacitance does too, but that is merely a correlating factor. Remember (and this is good advice, especially suited to Newsgroup rumors you may pick up): Correlation is NOT causality. 73's Richard Clark, KB7QHC |
#9
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On 29 abr, 15:50, Cecil Moore wrote:
Wimpie wrote: I think inter-winding capacitance does not decrease efficiency, it may only change the radiation pattern when the inter-winding capacitance is that much, that the current distribution in the coil is affected. This is almost the case with relative large loops. This is almost *always* the case with relatively large loops? -- 73, Cecil http://www.w5dxp.com Hello, Cecil, Yes you are right, as soon as electric flux is leaking via inter winding capacitance, the current distribution is no longer uniform. Maybe Bill can find more info when searching for Tesla coil inductors. I made a small one myself (H-bridge, running at about 700 kHz, [yes, I know it is in the AM broadcast band]). The vertical coil behaves almost as a quarter wave resonator, just a small top capacitor was necessary. Best regards and thanks for the correction. Wim PA3DJS |
#10
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On Apr 29, 6:47 am, Cecil Moore wrote:
amdx wrote: Assume a 10 turn loop, between each turn there is a capacitance, so, you have a complete circuit, (L,C,R) there is current flowing through this circuit that is not flowing through the entire 10 turn loop. (this happens in the other 9 turns also) Reminds me of a transmission line distributed network for which a velocity factor can be calculated. Cecil - I think this will interest you: http://www.rhombus-ind.com/dlcat/app1_pas.pdf 73, ac6xg |
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