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#131
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#132
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Tom Ring wrote:
Art Unwin wrote: Atta boy, Keep using that slide rule from your school days, there is absolutely no reason why you should change and update Art Your answers are just as wrong with a slide rule, an HP15C, Fortran IV on a 360/65, C on a 64 bit AMD or anything else you can find. And denigrating slide rules is silly. Most of the world that surrounds you was calculated with a slide rule's resolution. When used properly they give answers that are as accurate as is needed for engineering. You obviously have no clue as to what it takes to do engineering calculations. Richard, if I used terms improperly, I ask forgiveness. tom K0TAR There's no point in asking forgiveness from Richard. He's read _Through the Looking Glass_: "I don't know what you mean by 'glory,'" Alice said. Humpty Dumpty smiled contemptuously. "Of course you don't - till I tell you. I meant 'there's a nice knock-down argument for you!'" "But 'glory' doesn't mean 'a nice knock-down argument,'" Alice objected. "When I use a word," Humpty Dumpty said, in rather a scornful tone, "it means just what I choose it to mean, neither more nor less." "The question is," said Alice, "whether you _can_ make words mean so many different things." "The question is," said Humpty Dumpty, "which is to be master -- thats all." 73, Tom Donaly, KA6RUH |
#133
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Tom,
I thought I'd quoted some numbers in the related "Dish reflector" thread - apologies if I did not. Here are some mo * I modelled a coil as a spiral in EZNEC (40T, diameter=6", length=12", #14 copper wire) * I added a 6ft "stinger" and found the frequency where the combination was resonant: 3.79 MHz * I checked the feedpoint impedance without the coil present: 0.46- j2439 * That tells me the "lumped circuit equivalent" reactance of the coil at 3.79 MHz is +j2439 ohms * I found the frequency where the coil was resonant with no "stinger": 6.2 MHz Now I look at what ON4AA's "Corum method" inductance calculator tells me: * "Lumped circuit equivalent" reactance at 3.79 MHz: +j2449 * Self-resonant frequency: 6.3 MHz Unless I'm missing an option, if I want to predict the RF characteristics of a "bugcatcher" it seems I have 3 choices: * Use Wheeler's formula * Build a helical model in EZNEC * Use the Corum method Wheeler's formula is inappropriate at frequencies close to a coil's SRF. EZNEC and the Corum method give very close results. The Corum formulas are not difficult to use; even if they were, there is an on-line calculator which removes the need for any maths. So it seems to me the Corum formulas would be the more convenient tool to use, at least for a "first look". 73, Steve G3TXQ On May 9, 7:06*am, "Tom Donaly" wrote: You know, you haven't shown that the Corum model accurately measures the bugcatcher coil. You have stated - and I have no reason to disbelieve you - that the Corum model agrees with EZNEC. If that's the case, it's just as easy to use EZNEC, right or wrong. MoM is a method of obtaining numerical solutions to integral equations. The only reason to do that is if symbolic solutions are either too difficult or impossible to puzzle out of those same integral equations. In other words, some very deep thinkers decided that MoM would give results superior to algebraic approximations and hand waving, so they applied it to antenna analysis. I don't think it's perfect. It's certainly useful. If you think Corum is good enough for your purposes, though, go for it. |
#134
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Tom Donaly wrote:
3. When are we going to see the Corum-Moore method in the textbooks? "Transmission Lines and Networks", by Johnson copyright 1950 "Fields and Waves in Modern Radio", Ramo and Whinnery, Copyright 1944, 1953 - my fields and wave textbook in ~1957 at Texas A&M. The fundamentals of everything I have presented have been in that textbook for 65 years and I'm sure it was not the first textbook on the subject. "Reflection and Transmission at a Discontinuity" Equations for traveling waves vs standing waves "Energy Theorems for Transmission Lines" "The Idealized Helix and Other Slow-Wave Structures" Separate forward and reflected Poynting vectors whose ratio is rho^2 "Quarter-wave coating for Eliminating Reflections" "Elimination of Reflections from Dielectric Slabs" "Scattering and Transmission Coefficients" "Directional Couplers" Add "Antennas ..." by Kraus and Balanis Add "Optics ..." by Hecht and Born and Wolf Add "Traveling Wave Engineering", by Moore Add "Reflections", by Walter Maxwell One cannot blame one's ignorance on a lack of textbooks. -- 73, Cecil, IEEE, OOTC, http://www.w5dxp.com |
#136
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Jim Kelley wrote:
I have no particular knowledge or opinion on Cecil's EZNEC files, other than his rather odd take standing wave current phase shift - whatever that is. It's not my take, Jim, it is EZNEC's take. EZNEC reports current on a standing-wave antenna that closely matches the standing wave equations for current whose phase cannot be used to measure delay through a wire or through a loading coil. Both w7el and w8ji used the current on a standing wave antenna to measure phase shift and predictably, there was negligible phase shift. They erroneously attributed the lack of phase shift with a lack of delay, i.e. they assumed the proof - a well known logical fallacy. There is no relationship between phase shift and delay in the current on standing wave antennas either through the wire or through a loading coil. -- 73, Cecil, IEEE, OOTC, http://www.w5dxp.com |
#137
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On May 9, 7:48*am, Cecil Moore wrote:
Jim Kelley wrote: I have no particular knowledge or opinion on Cecil's EZNEC files, other than his rather odd take standing wave current phase shift - whatever that is. It's not my take, Jim, it is EZNEC's take. EZNEC reports current on a standing-wave antenna that closely matches the standing wave equations for current whose phase cannot be used to measure delay through a wire or through a loading coil. Both w7el and w8ji used the current on a standing wave antenna to measure phase shift and predictably, there was negligible phase shift. They erroneously attributed the lack of phase shift with a lack of delay, i.e. they assumed the proof - a well known logical fallacy. There is no relationship between phase shift and delay in the current on standing wave antennas either through the wire or through a loading coil. -- 73, Cecil, IEEE, OOTC, *http://www.w5dxp.com Cecil I believe Steve has vindicated you in your struggle so you should feel good. I would avoid the tactics if I were you when attempts are made to reserect this debate.Corum are acknowledged experts with respect to coils and tho not as absolute as Maxwells equations one should feel confident with respect to their works so I feel you have finally made your point. Well done Art |
#138
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On May 9, 1:40*am, wrote:
Tom, I thought I'd quoted some numbers in the related "Dish reflector" thread - apologies if I did not. Here are some mo * I modelled a coil as a spiral in EZNEC (40T, diameter=6", length=12", #14 copper wire) * I added a 6ft "stinger" and found the frequency where the combination was resonant: 3.79 MHz * I checked the feedpoint impedance without the coil present: 0.46- j2439 * That tells me the "lumped circuit equivalent" reactance of the coil at 3.79 MHz is +j2439 ohms * I found the frequency where the coil was resonant with no "stinger": 6.2 MHz Now I look at what ON4AA's "Corum method" inductance calculator tells me: * "Lumped circuit equivalent" reactance at 3.79 MHz: +j2449 * Self-resonant frequency: 6.3 MHz Unless I'm missing an option, if I want to predict the RF characteristics of a "bugcatcher" it seems I have *3 choices: * Use Wheeler's formula * Build a helical model in EZNEC * Use the Corum method Wheeler's formula is inappropriate at frequencies close to a coil's SRF. EZNEC and the Corum method give very close results. The Corum formulas are not difficult to use; even if they were, there is an on-line calculator which removes the need for any maths. So it seems to me the Corum formulas would be the more convenient tool to use, at least for a "first look". 73, Steve G3TXQ On May 9, 7:06*am, "Tom Donaly" wrote: You know, you haven't shown that the Corum model accurately measures the bugcatcher coil. You have stated - and I have no reason to disbelieve you - that the Corum model agrees with EZNEC. If that's the case, it's just as easy to use EZNEC, right or wrong. MoM is a method of obtaining numerical solutions to integral equations. The only reason to do that is if symbolic solutions are either too difficult or impossible to puzzle out of those same integral equations. In other words, some very deep thinkers decided that MoM would give results superior to algebraic approximations and hand waving, so they applied it to antenna analysis. I don't think it's perfect. It's certainly useful. If you think Corum is good enough for your purposes, though, go for it. Steve, this is fine for a base loading coil, but I'd suggest you try your experiment with a loading coil well up the antenna, where the coil is significantly larger diameter than the straight conductor in which it's placed. The same size coil you described (though presumably a different number of turns), placed at least half way up something like a 15 or 20 foot long thin wire, should illustrate the point. Is the EZNEC model then in such good agreement with placing a reactive load at that point in the antenna, where the reactance is from ON4AA's online calculator? If I trusted NEC to handle large steps in conductor diameter accurately, I'd suggest putting a segment in the antenna description to represent the length and diameter of the coil, with the calculated reactance placed as a load in that segment. As I understand it, though, NEC has trouble with large diameter steps. Cheers, Tom |
#139
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K7ITM wrote:
Steve, this is fine for a base loading coil, but I'd suggest you try your experiment with a loading coil well up the antenna, where the coil is significantly larger diameter than the straight conductor in which it's placed. The same size coil you described (though presumably a different number of turns), placed at least half way up something like a 15 or 20 foot long thin wire, should illustrate the point. Is the EZNEC model then in such good agreement with placing a reactive load at that point in the antenna, where the reactance is from ON4AA's online calculator? The key to understanding this question and its logical answer lies in the phase shift that occurs at impedance discontinuities. For a base-loading coil, there is only one impedance discontinuity in the system, a hi-Z0 coil to a low-Z0 stinger. That single discontinuity provides a positive phase shift at the '+' junction of the coil and stinger. coil stinger FP//////////+------------------- When a straight shaft section is installed under the coil, it introduces one additional impedance discontinuity at 'x' in addition to the '+' top of coil to stinger discontinuity. base coil stinger FP-------x////////////+--------- Because the impedance discontinuity between the base section is a low-Z0 to hi-Z0 transition, the phase shift is negative, i.e. the antenna *loses electrical degrees* at that junction. Therefore, more turns must be added to the inductor to supply the number of negative degrees lost at the base section to coil impedance discontinuity. This might best be illustrated with pieces of transmission line. Please reference my web page at: http://www.w5dxp.com/shrtstub.htm The following concepts apply to the above antennas but may be easier to understand using transmission lines. Here is a dual-Z0 stub that is physically 44.4 degrees long but is 90 degrees (1/4WL) long electrically, i.e. it is functionally a 1/4WL open-circuit stub. ---22.2 deg 300 ohm line---+---22.2 deg 50 ohm line--- The Z0=300 ohm to Z0=50 ohm transition provides for +45.6 degrees of phase shift. This is akin to the base- loaded antenna above. Here is a dual-Z0 stub with 11.1 degrees (half) of the 50 ohm line moved to the left. (The words are abbreviated because of space on the line.) --11.1 deg 50--+--22.2 deg 300--+--11.1 deg 50-- Who can tell me how long electrically is this stub using the identical feedlines from the above example? This reconfigured stub with half of the 50 ohm feedline moved to the bottom is now electrically only ~80.6 degrees long. What has happened? The new impedance discontinuity from the base section at the bottom of the coil has cost us electrical degrees by providing a *negative phase shift*. How do we solve the problem? Add some length (degrees) to the Z0=300 ohm section. If we make the 300 ohm section 38.5 degrees long, the stub will be electrically 90 degrees long once again. This is conceptually the same problem we encounter when we move the loading coil from the base location to the center location. When we move the coil up the shaft, we introduce a negative phase shift at the bottom of the coil. Therefore, we must increase the number of turns to make the loading coil electrically longer. Incidentally, w8ji knows about the coil to stinger positive phase shift and describes it on his web page. He apparently doesn't know about the opposite negative phase shift at the bottom of the coil where the shaft attaches. -- 73, Cecil, IEEE, OOTC, http://www.w5dxp.com |
#140
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Cecil Moore wrote:
"One cannot blame one`s ignorance on a lack of textbooks." True. The most reliable in my opinion is Terman`s 1955 opus "Electronic and Radio Engineering". Terman agrees with Cecil. On page 854 Terman writes: "The laws governing such radiation are obtained by using Maxwell`s equations to express the fields associated with the wire; when this is done there is found to be a component, termed the radiation field, having a strength that varies inversely with distance." Terman then gives the formula for the electric field strength in terms of distance from the elementary doublets in the wire that make up the antennna to a distant observing point P, and angle of the direction of point P with respect to a plane perpendicular to the axis of the elementary doublet. The strength of the radiated field is distributed in space in accordance with the doughnut pattern for a thin wire which is short compared with wavelength and has a figure-of-8 cross section. Illustrations are provided on page 865. On page 866 Terman illustrates current distribution on an antenna open circuited at both ends and made up of elementary doublets. On page 867 Terman says: "A wire antenna is a circuit with distributed constants; hence the current distribution in a wire antenna that results from the application of a localized voltage follows the principles discussed in Chap. 4 (Transmission Lines), and depends upon the antenna length, measured in wavelengths; the terminations at the ends of the antenna wire; and the losses in the system. The current distribution is also affected by the ratio of the wire length to diameter in situations where the wire is unusually thick. Under most circumstances the losses are sufficiently low and the ratio of wire length to diameter sufficiently great so that to a first approximation very closely the current distribution can be taken as that for a line with zero losses; it then has the characteristics discussed in 4-5. Best regards, Richard Harrison. KB5WZI |
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