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#1
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Tank circuits: achieving maximum Q
Hi guys,
ISTR that one can improve Q in resonant tanks by having a low L-C ratio. Or was it high L-C ratio. I can't remember but need to know. Can any kind soul help me out? Thanks. p. -- The BBC: Licensed at public expense to spread lies. |
#2
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Reduce the L to reduce the resistive loss - the essence of L
is the energy stored in its current carrying, and it is the current that causes I^2 R losses. The energy stored in the C is static. (Yes, there are some losses in polarising the dielectrics but these are small enough to be ignored) "Paul Burridge" wrote in message ... ISTR that one can improve Q in resonant tanks by having a low L-C ratio. Or was it high L-C ratio. I can't remember but need to know. |
#3
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Airy,
What you said would be relevant only if you were trying to determine circuit losses due to "unloaded" Q of the components. I believe Paul is trying to determine the 'loaded" Q in order to obtain best selectivity (narrowest bandwidth). Is this true Paul? In order to obtain maximum selectivity, the loaded Q needs to be as high as possible. In the case of a resonant 'tank', the tank reactances are loaded by the external environment. The circuit Q (or 'loaded' Q) in this case is Q=R/X. In order to maximize loaded Q, the X term (reactance) needs to be minimized. This means low L and high C. In any case, the actual circuit losses will be a function of the ratio of unloaded Q (Q of the components) to loaded Q. The higher the unloaded Q of the components, the lower the losses in the circuit. Joe W3JDR "Airy R. Bean" wrote in message ... Reduce the L to reduce the resistive loss - the essence of L is the energy stored in its current carrying, and it is the current that causes I^2 R losses. The energy stored in the C is static. (Yes, there are some losses in polarising the dielectrics but these are small enough to be ignored) "Paul Burridge" wrote in message ... ISTR that one can improve Q in resonant tanks by having a low L-C ratio. Or was it high L-C ratio. I can't remember but need to know. |
#4
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On Sun, 21 Mar 2004 16:02:18 GMT, "W3JDR" wrote:
Airy, What you said would be relevant only if you were trying to determine circuit losses due to "unloaded" Q of the components. I believe Paul is trying to determine the 'loaded" Q in order to obtain best selectivity (narrowest bandwidth). Is this true Paul? Some clarification is necessary! The application is the tank in a frequency multiplier. I am seeking to select for the 5th harmonic. Therefore, the tank needs to have as little loss as possible given the fact that the 5th will be way down dB-wise on the fundamental. I can't afford to attenuate it too much as it's already weak to begin with. Ergo, I need the lowest loss components and the best selectivity for the desired 5th harmonic. Thanks, p. -- The BBC: Licensed at public expense to spread lies. |
#5
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Paul, in approaching the problem from your viewpoint havn't you set yourself
the task of winding an inductor to have a particular value of Q ? If you intend to use a solenoid then Q can be increased only by increasing its physical size without changing its proportions too much. Utimately you will need to know what is the Q of a particular size coil, number of turns, wire gauge, etc. It will be reduced by its proximity to other components and circuit board by some indeterminate amount. I think you should stop and check whether you have room for the coil in the equipment space available. ;o) Program SOLNOID2 may be of assistance in this onerous task. Download in a few seconds from website below and run immediately. ---- .................................................. .......... Regards from Reg, G4FGQ For Free Radio Design Software go to http://www.btinternet.com/~g4fgq.regp .................................................. .......... |
#6
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On Sun, 21 Mar 2004 18:54:19 +0000 (UTC), "Reg Edwards"
wrote: Paul, in approaching the problem from your viewpoint havn't you set yourself the task of winding an inductor to have a particular value of Q ? If you intend to use a solenoid then Q can be increased only by increasing its physical size without changing its proportions too much. Utimately you will need to know what is the Q of a particular size coil, number of turns, wire gauge, etc. It will be reduced by its proximity to other components and circuit board by some indeterminate amount. I think you should stop and check whether you have room for the coil in the equipment space available. ;o) Program SOLNOID2 may be of assistance in this onerous task. Download in a few seconds from website below and run immediately. Reg, SOLNOID2 has been withdrawn from your site IIRC. I *had* been using it to great effect, but you presumably made some improvements, implemented them, and renamed it SOLNOID3 which is what I now use. Great program! I'm still none the wiser as to whether it's better to have big-L || small C or vice versa, though. :-/ BTW, Reg - can you write a program to work out how I'm going to afford my Council Tax this year? Thanks! :-) -- The BBC: Licensed at public expense to spread lies. |
#7
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Let me clarify. Because Q is largely out of your control, the logical way
of circuit design is FIRST OF ALL to allocate a practical, reasonably attainable value of Q to the inductor, taking the SPACE AVAILABLE into account. Then design the remainder of the circuit around it to meet the required objectives. You really have no alternative. Choosing a starting value for Q without knowing the inductance depends entirely on experience and visual imagination. But you will find program SOLNOID2 very useful in getting you in the right ballpark - only after you decide on the space and clearance available for a coil. I'm still toying with the idea of using an oscillator locked to the 5th harmonic. Q and size of the coil don't matter two hoots. And you have all the output you could possibly want. On second thoughts I would probably have gone about the whole job in an entirely different manner. ;o) ---- Reg, G4FGQ |
#8
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On Sun, 21 Mar 2004 18:54:19 +0000 (UTC), "Reg Edwards"
wrote: Paul, in approaching the problem from your viewpoint havn't you set yourself the task of winding an inductor to have a particular value of Q ? If you intend to use a solenoid then Q can be increased only by increasing its physical size without changing its proportions too much. Utimately you will need to know what is the Q of a particular size coil, number of turns, wire gauge, etc. It will be reduced by its proximity to other components and circuit board by some indeterminate amount. I think you should stop and check whether you have room for the coil in the equipment space available. ;o) Program SOLNOID2 may be of assistance in this onerous task. Download in a few seconds from website below and run immediately. Reg, SOLNOID2 has been withdrawn from your site IIRC. I *had* been using it to great effect, but you presumably made some improvements, implemented them, and renamed it SOLNOID3 which is what I now use. Great program! I'm still none the wiser as to whether it's better to have big-L || small C or vice versa, though. :-/ BTW, Reg - can you write a program to work out how I'm going to afford my Council Tax this year? Thanks! :-) -- The BBC: Licensed at public expense to spread lies. |
#9
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Let me clarify. Because Q is largely out of your control, the logical way
of circuit design is FIRST OF ALL to allocate a practical, reasonably attainable value of Q to the inductor, taking the SPACE AVAILABLE into account. Then design the remainder of the circuit around it to meet the required objectives. You really have no alternative. Choosing a starting value for Q without knowing the inductance depends entirely on experience and visual imagination. But you will find program SOLNOID2 very useful in getting you in the right ballpark - only after you decide on the space and clearance available for a coil. I'm still toying with the idea of using an oscillator locked to the 5th harmonic. Q and size of the coil don't matter two hoots. And you have all the output you could possibly want. On second thoughts I would probably have gone about the whole job in an entirely different manner. ;o) ---- Reg, G4FGQ |
#10
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In article , Paul Burridge
writes: On Sun, 21 Mar 2004 16:02:18 GMT, "W3JDR" wrote: Airy, What you said would be relevant only if you were trying to determine circuit losses due to "unloaded" Q of the components. I believe Paul is trying to determine the 'loaded" Q in order to obtain best selectivity (narrowest bandwidth). Is this true Paul? Some clarification is necessary! The application is the tank in a frequency multiplier. I am seeking to select for the 5th harmonic. Therefore, the tank needs to have as little loss as possible given the fact that the 5th will be way down dB-wise on the fundamental. I can't afford to attenuate it too much as it's already weak to begin with. Ergo, I need the lowest loss components and the best selectivity for the desired 5th harmonic. Thanks, Design of that is a two-step process. First, you need to establish the impedance (or admittance) of both source and load. For a parallel-resonant circuit selectivity device, they are both in parallel with the unloaded Q of the resonant circuit. For a series-resonant selectivity device, they are in series with it. With vacuum tube and FET circuits, staying in the linear I/O bias region, the first step is easy. Just parallel drain or plate resistance and a gate or grid circuit resistance for a parallel-resonant circuit. With bipolar transistors, the base resistance is quite low compared to tube (valve) and gate inputs, must be impedance-magnitude adjusted such as with tapping down on an inductor. There are several other ways to do impedance-magnitude adjustment; that coil tap is a very common one. Once into a non-linear operation region the overall impedances become dynamic rather than static and depend on drive level and the amount of time an input spends in non-linear region versus the linear region. Using digital logic devices means that the non-linear regions are above saturation and below cutoff but the saturation does not behave the same as with valve grid current run positive on part of the cycle. That is NOT easy to calculate and quite complex for those who take the time to do that. For home workshop design efforts in getting to the task in the most expeditious way, simply Cut And Try. Reg Edwards pointed that out semi-directly. :-) The second step is to select and inductor with, for your needs in being selective to that elusive 5th harmonic, of the highest Q_u (unloaded or "not in-circuit" quality factor) that will fit in the space (physical space) you've alloted. That selection is a compromise in size - cylindrical or "solenoid" cores mean (as Reg said) the bigger the better. I'll also add "the bigger the wire diameter, the higher the Q" for the same coil former size. For iron powder toroid forms, the powder mix is important as well as the size as well as the wire size. Just from memory of a few years ago, a Micrometals T37-6 core (the "37" meaning 0.37 or 3/8ths inch, powder mix 6) will yield a Q_u of 80 minimum at 18 MHz using the largest wire that will fit through the center hole. Q_u at 17 MHz will be very close to that. Unloaded Q is a result of many factors and all of those can be modified by things such as the dielectric material of a solenoidal former and the presence of adjacent shielding and even dielectric material. For the easiest application and less time worrying nit- picky details, pick an iron powder core toroidal form...such can be smaller than cylindrical formers allow and are much more forgiving of adjacent/nearby objects. But only if space is at a premium. Small toroidal forms can be difficult to wind for some and multi-turn inductors need lots of wire which can build up in the center hole, precluding use of larger magnet wire diameters. Part of the second step is to combine what you know (or guess) in the first step with a selection of inductance and capacitance for resonance. As others have said, inductive Q_u is the determining factor at HF and capacitive Q_u will be at least 10 times higher, probably in the neighborhood of 500 to 1000 for ceramic or mica capacitors. Do a quick model of the resonant circuit "resistance" (actually the magnitude of impedance) at parallel resonance - parallel the (inductive Q_u times inductive reactance) and the (capacitive Q_u times the same reactance since capacitive reactance is equal to inductive reactance at resonance). Parallel that with the source and load impedance magnitude combined magnitude and you have the total magnitude at resonance. This can be very quick to do with a scientific pocket calculator. To verify the selectivity, run the whole thing again at adjacent harmonics to get the total magnitude of impedance there. Those off-resonance L-C circuit magnitudes can use just the reactance as an approximate step and be very close to those using the unloaded L-C Qs. The ratio of magnitudes on-resonance versus off-resonance will give you a picture of the selectivity possible. If that "doesn't seem to be good," THEN pick a different L:C ratio and do it again...but use what you know about the inductive Q_u at that different inductance. Compare the new on-resonance impedance magnitude to the adjacent off-resonance magnitudes. Is that magnitude ratio worse than before? If so use an opposite L:C ratio. If better, try the same-direction different L:C ratio and compare that. If better, repeat. If worse, hold on the previous L-C combination...you are zeroing-in on what is useful. SELECTIVITY is the thing desired in your application and the relatively-simple calculation of magnitudes and resulting ratios will point in the right direction for something to try in hardware. Selectivity is needed because the lower harmonics have more energy than the 5th. If stumped for a starting L and C value, try the literature on previous multiplier designs as a starting point...then dance through this two-step procedure. In practical hardware, many others besides myself have been led astray by simplistic "L:C ratio Q determination rules" that can be just the reverse. Lots of those old maxims were generated way back in time of large "coils and condensers" one needed both hands to pick up... Len Anderson retired (from regular hours) electronic engineer person |
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