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#121
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Where does it go? (mismatched power)
Roy Lewallen wrote in
: For all the fluff about photons, optics, non-dissipative sources, and the like, I have yet to see an equation that relates the dissipation in the resistance in one of those painfully simple circuits to the "reflected power" in the transmission line it's connected to. I saw the challenge and note the lack of response. Let me offer a steady state solution. In the case of a simple source being an ideal AC voltage generator of Vs and an ideal series resistance Rs of Ro, and that Zo=Ro, for any arbitrary load, at the source terminals, Vf=Vs/2, Vl=Vf+Vr=Vs/2+Vr, and the voltage difference across Rs is Vs/2-Vr (noting that Vr is a complex quantity and can have a magnitude from 0 to Vs/2 at any phase angle), therfore dissipation in Rs is given by: Prs=(Vs/2-Vr)^2/Rs where Vs is the o/c source voltage, Vr is the complex reflected wave voltage equivalent, Rs is the source resistance. Clearly, dissipation in Rs is related to Vr, but it is not simply proportional to the square of Vr as believed by many who lack the basics of linear circuit theory to come to a correct understanding. Roy, is that a solution? Owen |
#122
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Where does it go? (mismatched power)
On Jun 15, 6:36*pm, Roy Lewallen wrote:
Owen Duffy wrote: lu6etj wrote in news:da3e5147-cad8-47f9-9784- : ... OK. Thank you very much. This clarify so much the issue to me. Please, another question: On the same system-example, who does not agree with the notion that the reflected power is never dissipated in Thevenin Rs? (I am referring to habitual posters in these threads, of course) Thevenin's theorem says nothing of what happens inside the source (eg dissipation), or how the source may be implemented. . . . Cecil has used this fact as a convenient way of avoiding confrontation with the illustrations given in my "food for thought" essays. However, those models aren't claimed to be Thevenin equivalents of anything. They are just simple models consisting of an ideal source and a perfect resistance, as used in may circuit analysis textbooks to illustrate basic electrical circuit operation. The dissipation in the resistance is clearly not related to "reflected power", and the reflected power "theories" being promoted here fail to explain the relationship between the dissipation in the resistor and "reflected power". I contend that if an analytical method fails to correctly predict the dissipation in such a simple case, it can't be trusted to predict the dissipation in other cases, and has underlying logical flaws. For all the fluff about photons, optics, non-dissipative sources, and the like, I have yet to see an equation that relates the dissipation in the resistance in one of those painfully simple circuits to the "reflected power" in the transmission line it's connected to. Roy Lewallen, W7EL obviously its not the 'reflected power'... that can be easily disproved by showing that the length of the line changes the impedance seen at the source terminals without changing the power that was reflected from the load. since it is the impedance at the source terminals that determines the performance of the amp the power that is reflected is irrelevant. however, it should be relatively easy to derive such a relation for a simple thevenin source with a lossless line and a given load impedance... just transform the impedance along the length of the line back to the source then calculate the resulting current or voltage from the source. that would give you the power dissipated in the source. then you could also calculate the reflection coefficient and separate the forward and reflected waves... and if you did it all correctly and kept everything in terms of RL, Z0, and the length of the line you could come up with a family of parametric curves relating the power dissipated in the source resistance to the reflected power over a range of load impedances for a given line length, or for varying line length for a given load. obviously a purely academic exercise that should be left for a rainy day. |
#123
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Where does it go? (mismatched power)
On Jun 15, 7:06*pm, K1TTT wrote:
On Jun 15, 6:36*pm, Roy Lewallen wrote: Owen Duffy wrote: lu6etj wrote in news:da3e5147-cad8-47f9-9784- : ... OK. Thank you very much. This clarify so much the issue to me. Please, another question: On the same system-example, who does not agree with the notion that the reflected power is never dissipated in Thevenin Rs? (I am referring to habitual posters in these threads, of course) Thevenin's theorem says nothing of what happens inside the source (eg dissipation), or how the source may be implemented. . . . Cecil has used this fact as a convenient way of avoiding confrontation with the illustrations given in my "food for thought" essays. However, those models aren't claimed to be Thevenin equivalents of anything. They are just simple models consisting of an ideal source and a perfect resistance, as used in may circuit analysis textbooks to illustrate basic electrical circuit operation. The dissipation in the resistance is clearly not related to "reflected power", and the reflected power "theories" being promoted here fail to explain the relationship between the dissipation in the resistor and "reflected power". I contend that if an analytical method fails to correctly predict the dissipation in such a simple case, it can't be trusted to predict the dissipation in other cases, and has underlying logical flaws. For all the fluff about photons, optics, non-dissipative sources, and the like, I have yet to see an equation that relates the dissipation in the resistance in one of those painfully simple circuits to the "reflected power" in the transmission line it's connected to. Roy Lewallen, W7EL obviously its not the 'reflected power'... that can be easily disproved by showing that the length of the line changes the impedance seen at the source terminals without changing the power that was reflected from the load. *since it is the impedance at the source terminals that determines the performance of the amp the power that is reflected is irrelevant. however, it should be relatively easy to derive such a relation for a simple thevenin source with a lossless line and a given load impedance... just transform the impedance along the length of the line back to the source then calculate the resulting current or voltage from the source. *that would give you the power dissipated in the source. *then you could also calculate the reflection coefficient and separate the forward and reflected waves... and if you did it all correctly and kept everything in terms of RL, Z0, and the length of the line you could come up with a family of parametric curves relating the power dissipated in the source resistance to the reflected power over a range of load impedances for a given line length, or for varying line length for a given load. *obviously a purely academic exercise that should be left for a rainy day. Tom, I understand the variation of the line-input impedance resulting from the change in length of the trombone line with the reflection coefficient of 0.01. However, I'm totally unaware of how the change in line-input impedance relates to a change of frequency of the forward wave of 100 Hz. Please explain. Further, will you please also explain how the effect of the trombone exercise determines the value of the source impedance, which, for example, you stated is 56+j16 ohms? In other words, what mechanism produced that value ? Sorry, Tom, I'm a little dense on this issue. Walt |
#124
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Where does it go? (mismatched power)
On Jun 15, 1:23*pm, Roy Lewallen wrote:
As I've said many times, and you've continually disagreed with, increased dissipation and/or damage at the transmitter is due to the impedance it sees, and not by "reflected power". Roy, unfortunately for your argument, the impedance seen by the transmitter is: Z = (Vfor + Vref) / (Ifor + Iref) where the math is phasor math. ANY DEVIATION AWAY FROM THE Z0-MATCHED LINE VALUE OF IMPEDANCE = Vfor/Ifor IS *CAUSED* BY THE REFLECTED WAVE! Given that fact of physics, how can you possibly argue that the reflected wave doesn't affect dissipation/damage at the transmitter??? -- 73, Cecil, w5dxp.com |
#125
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Where does it go? (mismatched power)
On Jun 15, 1:25*pm, Roy Lewallen wrote:
Thanks, but I've designed TDR systems and prepared and given classes on the topic. Given your strange concepts that violate the laws of EM wave physics and your ignorance of how a redistribution of energy is often associated with the presence of interference, I feel sorry for your students. -- 73, Cecil, w5dxp.com |
#126
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Where does it go? (mismatched power)
On Jun 15, 1:36*pm, Roy Lewallen wrote:
For all the fluff about photons, optics, non-dissipative sources, and the like, I have yet to see an equation that relates the dissipation in the resistance in one of those painfully simple circuits to the "reflected power" in the transmission line it's connected to. The power density equation containing an interference term is what you need to use and I seriously doubt that, after 5+ years, you are ignorant of that equation. In your food-for-thought, forward/reflected power example, all you have to do is figure out the power in the forward wave and the power in the reflected wave at the source resistor and plug them into the following equation: Ptot = P1 + P2 + 2*SQRT(P1*P2)*cos(A) where 'A' is the angle between the forward voltage and reflected voltage. For instance, if the reflected voltage arrives back at the source resistor in phase with the forward voltage, cos(A) = cos(0) = 1 and there is constructive interference which increases the dissipation in the source resistor. If the reflected voltage arrives back at the source resistor 180 degrees out of phase with the forward voltage, cos(A) = cos(180) = -1 and there is destructive interference which decreases the dissipation in the source resistor. If the reflected voltage arrives back at the source resistor 90 degrees out of phase, cos(A) = cos(90) = 0, and there is no interference and all of the reflected power is dissipated in the source resistor. If you had ever read my energy article, published many years ago, you would know what effect superposition accompanied by interference can have on the redistribution of energy. But you instead said, "Gobbleygook" (sic) and plonked me. Time to pull your head out of the sand. The above power density equation not only agrees with all of your power calculations, it tells anyone who desires to acquire the knowledge, exactly where the reflected energy goes and why it is not always dissipated in the source resistor. -- 73, Cecil, w5dxp.com |
#127
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Where does it go? (mismatched power)
On Jun 15, 5:59*pm, Owen Duffy wrote:
I saw the challenge and note the lack of response. You seem to always note the lack of response while normal people are trying to sleep. If Roy would simply use the power density equation published by Dr. Best in his QEX article, he wouldn't still be ignorant of where the reflected energy goes. -- 73, Cecil, w5dxp.com |
#128
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Where does it go? (mismatched power)
On 16 jun, 00:21, Cecil Moore wrote:
On Jun 15, 1:36*pm, Roy Lewallen wrote: For all the fluff about photons, optics, non-dissipative sources, and the like, I have yet to see an equation that relates the dissipation in the resistance in one of those painfully simple circuits to the "reflected power" in the transmission line it's connected to. The power density equation containing an interference term is what you need to use and I seriously doubt that, after 5+ years, you are ignorant of that equation. In your food-for-thought, forward/reflected power example, all you have to do is figure out the power in the forward wave and the power in the reflected wave at the source resistor and plug them into the following equation: Ptot = P1 + P2 + 2*SQRT(P1*P2)*cos(A) where 'A' is the angle between the forward voltage and reflected voltage. For instance, if the reflected voltage arrives back at the source resistor in phase with the forward voltage, cos(A) = cos(0) = 1 and there is constructive interference which increases the dissipation in the source resistor. If the reflected voltage arrives back at the source resistor 180 degrees out of phase with the forward voltage, cos(A) = cos(180) = -1 and there is destructive interference which decreases the dissipation in the source resistor. If the reflected voltage arrives back at the source resistor 90 degrees out of phase, cos(A) = cos(90) = 0, and there is no interference and all of the reflected power is dissipated in the source resistor. If you had ever read my energy article, published many years ago, you would know what effect superposition accompanied by interference can have on the redistribution of energy. But you instead said, "Gobbleygook" (sic) and plonked me. Time to pull your head out of the sand. The above power density equation not only agrees with all of your power calculations, it tells anyone who desires to acquire the knowledge, exactly where the reflected energy goes and why it is not always dissipated in the source resistor. -- 73, Cecil, w5dxp.com Hello boys... good day to you. You are make me study so hard forgotten stories, dusting off old books... First, I sorry for I lost some posts (I miss free news servers, ISPs here, nones!). Thanks to Roy, Owen, K1TTT, etc. I read them today. (: Please do not quarrel! :). Someone said (I think it was Nikita Kruschev to the Pope, I am not sure) = "If we can not agree on heaven's things, let us at least agree on the earth's things...." :) Why not make a "truce" for a few hours with the "why's" to verify if the proposed methods arrives at the same numerical results in terms of PRs and Pl first with our minimalistic Vg and Rs? (for the sake of novice readers) For not to work too much, calculations could be reduced to three resistive Zls, and three lengths of TL. Let me suggest 25, 50 and 100 ohms RLs and 0.5, 0.25 and 0.125 of lambda (to honor Cecil and Roy papers), Vg voltage = 100 V RMS, Rs 50 ohms, Zo obviously 50 ohms too (lossless line). Zl=50 ohms and 1/2 lambda TL are for beginners, as me ;D 73 - Miguel - LU6ETJ |
#129
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Where does it go? (mismatched power)
lu6etj wrote in
: .... For not to work too much, calculations could be reduced to three resistive Zls, and three lengths of TL. Let me suggest 25, 50 and 100 ohms RLs and 0.5, 0.25 and 0.125 of lambda (to honor Cecil and Roy papers), Vg voltage = 100 V RMS, Rs 50 ohms, Zo obviously 50 ohms too (lossless line). Zl=50 ohms and 1/2 lambda TL are for beginners, as me ;D Miguel, I gave an expression for power in your simple source circuit in a recent post, did you see it. Well here it is again: Prs=(Vs/2-Vr)^2/Rs where Vs is the o/c source voltage, Vr is the complex reflected wave voltage equivalent, Rs is the source resistance. If the reflected wave was always, and entirely dissipated in Rs in that type of source, then Prs=Vr^2/Zo=Vr^2/Rs... but it isn't, see the above expression. You can work one case, three cases, three x three cases, but they are not as complete as the expression above that shows that in the steady state, Prs is not simply equal to the 'reflected power'. But if you want, work the cases and report the results here, it is a trivial exercise. You will accept the results more readily if you work it our yourself. Owen |
#130
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Where does it go? (mismatched power)
On 16 jun, 03:48, Owen Duffy wrote:
lu6etj wrote : ... For not to work too much, calculations could be reduced to three resistive Zls, and three lengths of TL. Let me suggest 25, 50 and 100 ohms RLs and 0.5, 0.25 and 0.125 of lambda (to honor Cecil and Roy papers), Vg voltage = 100 V RMS, Rs 50 ohms, Zo obviously 50 ohms too (lossless line). Zl=50 ohms and 1/2 lambda TL are for beginners, as me ;D Miguel, I gave an expression for power in your simple source circuit in a recent post, did you see it. Well here it is again: Prs=(Vs/2-Vr)^2/Rs where Vs is the o/c source voltage, Vr is the complex reflected wave voltage equivalent, Rs is the source resistance. If the reflected wave was always, and entirely dissipated in Rs in that type of source, then Prs=Vr^2/Zo=Vr^2/Rs... but it isn't, see the above expression. You can work one case, three cases, three x three cases, but they are not as complete as the expression above that shows that in the steady state, Prs is not simply equal to the 'reflected power'. But if you want, work the cases and report the results here, it is a trivial exercise. You will accept the results more readily if you work it our yourself. Owen Do not argue with me Owen... If you do not want put your numbers you are free, Roy played theirs, Cecil too, it is a simple and loving exercise of numeric agreement. No arguments, no algebra, no calculus, no photons, no Quantum, no Maxwell, no clever and slippery words... simple and crude numbers... Not more than five minutes. :) 73. Here 04:26 I am go to dream with the little angels... Thanks, Miguel LU6ETJ |
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