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#1
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Owen wrote:
On 17/10/10 22:42, Alejandro Lieber wrote: Since I built my first 80meter/40meter 6aq5 + 6DQ6 transmitter with pi output in 1972, when I want to vary the inductance of a coil in a tunner, or loading coil in an antenna, I just short circuit some turns. I see that this is the usual practice everywhere. My question is why do we not just leave the turns open circuited instead of short circuiting them. It appears to me that in the short circuited turns, a very big current must be circulating, adding heat losses and lowering the Q of the circuit. Only fairly basic AC circuit theory is needed to analyse the effect of the shorted turns. If you have a air cored solenoid inductor of n turns, and short m turns at one end, you can treat that as two independent inductors of n-m and m turns with some flux coupling factor k. The mutual inductance can be calculated, and a T equivalent of Ln Lm-n Rn Rm-n M elements constructed and solved. k of course depends on coil construction and n and m, a value can be determined by measurement of the reactance of the combination. (You might be surprised at how low k is.) One could look at one of the standard equations for solenoid inductance (e.g. Wheeler's) and get a feel for it. The ideal fully coupled multi turn solenoid would have inductance proportional to Nturn^2. Wheeler (for inches) is: L (uH) = r^2 * n^2 / (9 * r + 10 * l) so there's the n^2 term on the top, but there's also the 10*length term on the bottom. For 2" diameter, 5 turns/inch, I calculated Wheeler L and for comparison Length^2/6 (so that the number would be comparable at a length of around 12") length turns Wheeler L uH/inch Length^2 2 10 3.45 1.7241 0.67 4 20 8.16 2.0408 2.67 6 30 13.04 2.1739 6.00 8 40 17.98 2.2472 10.67 10 50 22.94 2.2936 16.67 12 60 27.91 2.3256 24.00 14 70 32.89 2.3490 32.67 16 80 37.87 2.3669 42.67 18 90 42.86 2.3810 54.00 20 100 47.85 2.3923 66.67 22 110 52.84 2.4017 80.67 24 120 57.83 2.4096 96.00 26 130 62.83 2.4164 112.67 28 140 67.82 2.4221 130.67 30 150 72.82 2.4272 150.00 You can see that for this kind of coil, the coupling from turn to turn must be pretty low.. The L looks closer to a linear function of length than to the square of turns. If it were perfectly linear, it would be as if there is NO turn to turn coupling, and is just a series combination of single turn uncoupled inductors. If you look at the uH/inch column you can see that once you get into the 10 inches long and up range, it *is* almost completely linear. Essentially, when the power lost in the shorted turns is low (due to the combination of low k and low R), then the technique works fine. We (hams) have some pretty inadequate word based explanations for some of these kind of things when there are simple quantitative solutions at hand. An example is the traditional explanation of link coupling ratios. See http://vk1od.net/tx/concept/lctr.htm for a quantitative explanation using the same techniques as suggested above. |
#2
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On Oct 18, 11:20*am, Jim Lux wrote:
You can see that for this kind of coil, the coupling from turn to turn must be pretty low. For an average air-core coil, the delay through the coil seems to be in the ballpark of half of the coil wire stretched into a straight line, i.e. the VF of the coil is about double what is the VF of the straight wire used to wind the coil. The turn to turn coupling exists but turn to far away turn coupling is very low. This seems to be the most accurate inductance calculator that I have seen and includes the characteristic impedance and axial propagation factor. http://hamwaves.com/antennas/inductance.html -- 73, Cecil, w5dxp.com |
#3
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On 10/18/10 6:23 PM, Cecil Moore wrote:
On Oct 18, 11:20 am, Jim wrote: You can see that for this kind of coil, the coupling from turn to turn must be pretty low. For an average air-core coil, the delay through the coil seems to be in the ballpark of half of the coil wire stretched into a straight line, i.e. the VF of the coil is about double what is the VF of the straight wire used to wind the coil. The turn to turn coupling exists but turn to far away turn coupling is very low. This seems to be the most accurate inductance calculator that I have seen and includes the characteristic impedance and axial propagation factor. So to return to my real world example, an air core solenoid used as a tuning coil for a bugcatcher antenna, would I be wanting to short the unused portions of the coil, or leave them unshorted? Seems that unshorted would be bad. -73 de Mike N3LI - |
#4
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Mike Coslo wrote:
On 10/18/10 6:23 PM, Cecil Moore wrote: On Oct 18, 11:20 am, Jim wrote: You can see that for this kind of coil, the coupling from turn to turn must be pretty low. For an average air-core coil, the delay through the coil seems to be in the ballpark of half of the coil wire stretched into a straight line, i.e. the VF of the coil is about double what is the VF of the straight wire used to wind the coil. The turn to turn coupling exists but turn to far away turn coupling is very low. This seems to be the most accurate inductance calculator that I have seen and includes the characteristic impedance and axial propagation factor. So to return to my real world example, an air core solenoid used as a tuning coil for a bugcatcher antenna, would I be wanting to short the unused portions of the coil, or leave them unshorted? Seems that unshorted would be bad. Given the relatively few turns on a typical bugcatcher, and the low coupling of flux, the voltage rise would be negligible, and the fact that you're not having a high voltage across the coil in the first place (compared to turn spacing), I don't think it's an issue to leave the end free. Practical experience: On most tesla coils, the primary is a 10-20 turn coil with turn to turn spacing of 1/4" to 1/2" or so and runs at a peak voltage around 20kV. One adjusts the tapping point to adjust the primary L to bring the system into resonance, and it usually winds up being tapped about 70% of the way into the coil. Almost never do you get arcing/corona from the free end of the coil, which is potentially at as much as twice the voltage, and if it were in free space, you'd start to see corona from the relatively small radius of curvature. |
#5
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Mike Coslo wrote in news:i9n3jq$ds62$1
@tr22n12.aset.psu.edu: .... So to return to my real world example, an air core solenoid used as a tuning coil for a bugcatcher antenna, would I be wanting to short the unused portions of the coil, or leave them unshorted? Seems that unshorted would be bad. I wrote some notes based on a simple model of an air cored single layer solenoid, they are at http://www.vk1od.net/tx/concept/TappedCoil/index.htm . The model suggests that shorting the unused turns is a poorer solution when the flux coupling factor is relatively high, and a very small number of turns are shorted. Poorer both because of loss and the granularity of L adjustment. In that situation, the voltage induced in open unused turns is not very high, whereas it can be extreme in cases where most of the turns are unused. So, a combination of methods may be optimimum, depending on the flux coupling factor, voltage withstand, granularity of variation of L, etc. Owen |
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