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Revisiting the Power Explanation
Keith Dysart wrote:
What drove me to look at alternate explanations for these kinds of examples was that the 'reverse power' explanation fails miserably when the power gets back to the generator. The reverse energy wave follows the principles of conservation of energy and superposition. That we have no clue what the generator looks like to the reflected energy wave is not a good reason to abandon those principles. In fact, allowing destructive interference to be accompanied by an energy reflection solves all the problems. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Keith Dysart wrote:
I have yet to question the reflection of EM radiation, just the existence of "reverse power" in transmission lines. Then you are certainly engaging in the proverbial Red Herring. A simple example that I can never make add up is a 50 Watt generator with a 50 ohm output impedance, driving a 50 ohm line which is open at the end. Using the "reverse power" explanation, 50 W of "forward power" from the generator is reflected at the open end, providing 50 W of "reverse power". Since the generator is matched to the line there is no reflection when this "reverse power" reaches the generator so it disappears into the generator. If this is truly power, it must go somewhere else, be dissipated, transformed into some other form or stored (based on the conservation of energy principle). Where did it go? This is a lot like the 1/2WL W7EL example in his food for thought articles. The generator is *NOT* matched to the line as it sees an open circuit and cannot continue to stuff 50 watts into the open circuit. The generator is as mismatched as it can possibly be. The reflected wave also sees that open circuit and is 100% reflected. Since the generator is not delivering any power and there is a forward power and a reflected power, the reflected power is supplying the forward power. Anything else violates the conservation of energy principle. Most correspondents agree that what happens depends on the design of generator; dissipation either increases, decreases or stays the same (compared to when the line was terminated in 50 Ohms and the power going down the line is dissipated in the termination). This does not make an easy explanation for where that supposedly real power goes. Of course, if it is not real power, then there is no issue, which leads one back to looking for explanations other than "reverse power". Any level of interference is possible depending upon the phase angle between the forward E-field and the reflected E-field. All this is explained in "Optics" by Hecht which some people have apparently avoided reading/understanding. Optical physicists solved this problem a century ago. They don't have the luxury of dealing with voltages and currents and are forced to deal with power densities. You should try trodding their paths and enlightening yourself. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Owen Duffy wrote:
If one takes measurements with the instrument, it is true that the power at a point is "forward power" less "reflected power", and the manufacturer has scaled the instrument in Watts to facilitate that calculation, but that does not imply that the value of "forward power" or "reflected power" has any stand alone value, the ratio of the two is meaningful, the difference of the two is meaningful, but one alone is meaningless. How do you explain the fact that a transmission line contains exactly the amount of energy needed to support the actual forward power and reflected power? If it is not moving at the speed of light (modified by VF) it is not EM energy. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Owen Duffy wrote:
The voltage at the point may be higher than under matched conditions for the same load power, and that may cause insulation breakdown. Caused by the in-phase superposition of forward and reflected voltages. The current at the point may be higher than under matched conditions for the same load power, and that would cause higher loss in conductors and may result in damage. Caused by the in-phase superposition of forward and reflected currents. None of these explanations require designating "reflected power" at a point, or implying that it is the energy in "reflected power" that is totally and solely responsible for the physical damage. EM wave energy necessarily travels at the speed of light. There is exactly the amount of EM wave energy contained in a transmission line to support the forward power and reflected power. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Keith Dysart wrote:
And you have done an excellent job of doing so by providing an explanation that refers only to forward and reflected voltage and current. Not a mention of "reverse power" in the explanation.. The forward voltage is in phase with the forward current. The reflected voltage is in phase with the reflected current. Vref*Iref*cos(0) = reflected power -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Cecil Moore wrote in
t: .... EM wave energy necessarily travels at the speed of light. There is exactly the amount of EM wave energy contained in a transmission line to support the forward power and reflected power. You are not suggesting that the energy contained in a transmission line in the steady state in the general case is constant, are you? Owen |
Revisiting the Power Explanation
Cecil Moore wrote:
Gene Fuller wrote: It is interesting that you can be so precise at times and so sloppy at other times. I very carefully limited my discussion to steady state conditions, which is what everyone is already talking about in this case. You then conveniently inject modulation into the mix, completely ignoring what I said. *Every* real world system has noise modulation that can be tracked through the system riding on the forward and reflected traveling waves. Thus steady-state is never reached in reality and your argument is therefore just a mind game. Cecil, every time someone *almost* succeeds in making you stick to the point, you accuse them of messing with your mind. Nobody is trying to restrict your freedom of thought or speech. Nobody wants to, and nobody can. But lots of people are hoping, begging, pleading that you develop the SELF-discipline to follow an argument all the way through to its conclusion, without jumping outside of the boundaries you laid down at the start. This may indeed trouble your mind; but the process of scientific inquiry wasn't ever *intended* to feel comfortable. Its only goal is to find things out and get them right... and that involves staying on track, even when it takes you outside of the comfort zone. In fact, then most of all, because it's a sure sign that the track is leading somewhere. -- 73 from Ian GM3SEK 'In Practice' columnist for RadCom (RSGB) http://www.ifwtech.co.uk/g3sek |
Revisiting the Power Explanation
Owen Duffy wrote:
Cecil Moore wrote in EM wave energy necessarily travels at the speed of light. There is exactly the amount of EM wave energy contained in a transmission line to support the forward power and reflected power. You are not suggesting that the energy contained in a transmission line in the steady state in the general case is constant, are you? Obviously, a leading question. :-) I'm not talking about instantaneous values here. All my statements apply only to values averaged over an integer number of RF cycles in one second. What I am saying is that a transmission line obeys the conservation of energy principle. Whatever energy has not gone somewhere else is still in the transmission line and is exactly the sum of the energy required by the forward wave plus the energy required by the reflected wave. The steady-state energy stored in a transmission line with reflections is greater than the steady- state energy delivered to the load. The extra energy was sourced during the transient build-up state and has not yet been delivered to the load. The argument that 100 watts in and 100 watts out (during steady- state) doesn't leave any energy left over for the reflected waves is invalid. Below I give an example of 100 watts in and 100 watts out with 300 joules stored in the forward and reflected waves. I think it would be safe to say that for any one- wavelength section of line, the average energy content is constant during steady-state and is exactly the amount of energy required to support the forward traveling wave and reflected traveling wave. Here's a graphic that I earlier provided that illustrates the energy buildup to steady-state. http://www.w5dxp.com/1secsgat.gif -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Ian White GM3SEK wrote:
Nobody is trying to restrict your freedom of thought or speech. Nobody wants to, and nobody can. But lots of people are hoping, begging, pleading that you develop the SELF-discipline to follow an argument all the way through to its conclusion, without jumping outside of the boundaries you laid down at the start. Sorry Ian, I don't trust you guys enough to roll dice in the dark with you and then let you tell me what value was rolled. :-) You are perfectly free to play mashed potatoes with RF joules but please don't ask me to join in. Sometimes I think you have to be just pulling my leg. It was Gene who first pointed out the difference between a traveling wave and a standing wave. Now he says there is no difference. Gene Fuller, W4SZ wrote: In a standing wave antenna problem, such as the one you describe, there is no remaining phase information. Any specific phase characteristics of the traveling waves died out when the startup transients died out. Phase is gone. Kaput. Vanished. Cannot be recovered. Never to be seen again. One can send two coherent light beams in opposite directions almost collinear to each other and observe the standing waves. Hecht has a graphic of such in "Optics". The two light beams, forward and reverse, emerge past the standing wave space undisturbed and unaffected by the superposition. How does your theory hold up when measurement of voltage and current is impossible and everything occurs in free space for anyone to observe with his/her own eyes? If it doesn't work for EM light waves then it also doesn't work for EM RF waves except as a shortcut. So please take the above example from optics and show me how the reverse traveling wave is different on either side of the standing wave space. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
On Wed, 21 Mar 2007 08:18:14 -0500, "Richard Fry" wrote:
"Walter Maxwell" wrote (RF): And if so, would that also mean that such a tx would not be prone to producing r-f intermodulation components when external signals are fed back into the tx from co-sited r-f systems? This issue is irrelevant, because the signals arriving from a co-sited system would not be coherent with the local source signals, while load- reflected signals are coherent. The destructive and constructive interference that occurs at the output of a correctly loaded and tuned PA requires coherence of the source and reflected waves to achieve the total re-reflection of the reflected waves back into the direction toward the load. But even for coherent reflections, if the PA tank circuit has very low loss for incident power (which it does), why does it not have ~ equally low loss for load reflections of that power? Such would mean that load reflections would pass through the tank to appear at the output element of the PA, where they can add to its normal power dissipation. Also, does not the result of combining the incident and reflected waves in the tx depend in large part on the r-f phase of the reflection there relative to the r-f phase of the incident wave? And the r-f phase of the reflection is governed mostly by the number of electrical wavelengths of transmission line between the load reflection and the plane of interest/concern -- which is independent of how the tx has been tuned/loaded. If the ham transmitter designs that your paper applies to produce a total re-reflection of reverse power seen at their output tank circuits, then there would be no particular need for "VSWR foldback" circuits to protect them. Yet I believe these circuits are fairly common in ham transmitters, aren't they? They certainly are universal in modern AM/FM/TV broadcast transmitters, and are the result of early field experience where PA tubes, tx output networks, and the transmission line between the tx and the antenna could arc over and/or melt when reflected power was sufficiently high. RF Richard, your statement above begs the question, "Are you aware of the phase relationships between forward and reflected voltages and between forward and reflected currrents that accomplish the impedance-matching effect at matching points such as with stub matching and also with antenna tuners? When the matching is accomplished the phase relationship between the foward and reflected voltages can become either 0° or 180°, resulting in a total re-reflection of the voltage. If the resultant voltage is 0°, then the resultant current is 180°, thus voltage sees a virtual open circuit and the current sees a virtual short circuit. The result is that the reflected voltage and current are totally re-reflected IN PHASE with the source voltage and current. This is the reason the forward power in the line is greater than the source power when the line is mismatched at the load, but where the matching device has re-reflected the reflected waves. This phenomenon occurs in all tube transmitters in the ham world when the tank circuit is adjusted for delivering all available power at a given drive level. When this condition occurs the adjustment of the pi-network has caused the relationship between the forward and reflected voltages to be either 0° or 180° and vice versa for currents, as explained above. When this condition occurs, destructive interference between the forward and reflected voltages, as well as between the forward and reflected currents, causes the reflected voltage and current to cancel. However, due to the conservation of energy, the reflected voltage and current cannot just disappear, so the resulting constructive interference following immediately, causes the reflected voltage and current to be reversed in direction, now going in the foward direction along with and in phase with the forward voltage and current. In transmitters with tubes and a pi-network output coupling circuit there is no 'fold back' circuitry to protect the amp, because none is needed, due to the total re-reflection of the reflected power. It is only in solid-state transmitters that have no circuitry to achieve destructive and constructive interference that requires fold back to protect the output transistors. This has been a quick and dirty explanation of the phase relations that accomplish impedance matching. However, I have explained it in much more detail in my book "Reflections--Transmission Lines and Antennas." Yes, I know the book has been sold out and now unavailable, but I have put several chapters on my web page avaliable for downloading. The pertinent chapters covering this issue are Chapters 3, 4, and 23, available at www.w2du.com. I hope that reviewing these chapters will be helpful in clearing up some of the misunderstandings that are clearly evident in some of the postings on this thread. Walt, W2DU |
Revisiting the Power Explanation
Walter Maxwell wrote:
In transmitters with tubes and a pi-network output coupling circuit there is no 'fold back' circuitry to protect the amp, because none is needed, due to the total re-reflection of the reflected power. It is only in solid-state transmitters that have no circuitry to achieve destructive and constructive interference that requires fold back to protect the output transistors. One can illustrate the destructive and constructive interference with a solid-state transmitter and no tuner. Consider the following example using S-parameter terms. 100W--50 ohm line--+--1/2WL 300 ohm line--50 ohms a1-- --a2 --b1 b2-- Since there is zero reflected power on the 50 ohm line, we know that "total destructive interference" (as described by Hecht in "Optics", 4th edition, page 388) exists toward the source at point '+'. s11 = (300-50)/(300+50) = 0.7143 = -s12 b1 = (s11)(a1) + (s12)(a2) = 0 Note that given a1, s11, and s12, we can calculate the magnitude and phase of a2 needed to make b1=0. That is the Z0-match condition. The conservation of energy principle says that, (in a transmission line with only two directions) "total constructive interference" must exist in the opposite direction to the "total destructive interference" and that they must be of equal magnitudes. That tells us what *must* happen to the energy associated with the a2 reflected wave. All of the energy incident upon point '+' from both directions, |a1|^2 + |a2|^2, is directed toward the load by the interference patterns at the Z0-match point '+'. We hams commonly refer to that condition as being 100% re-reflected. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Cecil Moore wrote:
All of the energy incident upon point '+' from both directions, |a1|^2 + |a2|^2, is directed toward the load by the interference patterns at the Z0-match point '+'. We hams commonly refer to that condition as being 100% re-reflected. The above is true in the special case of a Z0-match. In general, |a1|^2 + |a2|^2 = |b1|^2 + |b2|^2 and since |b1|^2 = 0, the above expression is correct. *Quoting from HP Ap Note 95-1*: |a1|^2 = Power incident on the input of the network (i.e. Forward power on the 50 ohm line) |a2|^2 = Power reflected from the load (i.e. Reflected power on the 300 ohm line) |b1|^2 = Power reflected from the input port of the network (i.e. Reflected power on the 50 ohm line) |b2|^2 = Power incident on the load (i.e. Forward power on the 300 ohm line) end quote from HP Ap Note 95-1 -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Cecil Moore wrote in
: .... s11 = (300-50)/(300+50) = 0.7143 = -s12 b1 = (s11)(a1) + (s12)(a2) = 0 Cecil, I see you are back to using S parameters to disguise the fact you are using about Vf and Vr in trying to support your "power wave" explanation of what happens on the transmission line. S parameters are ratios of Vf and Vr. Owen |
Revisiting the Power Explanation
Cecil Moore wrote in
et: Owen Duffy wrote: Cecil Moore wrote in EM wave energy necessarily travels at the speed of light. There is exactly the amount of EM wave energy contained in a transmission line to support the forward power and reflected power. You are not suggesting that the energy contained in a transmission line in the steady state in the general case is constant, are you? Obviously, a leading question. :-) I'm not talking about instantaneous values here. All my statements apply only to values averaged over an integer number of RF cycles in one second. This gets confusing. You are talking about "the amount of EM wave energy contained in a transmission line" and now you qualify it with "values averaged over an integer number of RF cycles in one second". Average energy over time is POWER... are you talking about power and foxing us by calling it energy. I am confused. Owen |
Revisiting the Power Explanation
Cecil Moore wrote:
It was Gene who first pointed out the difference between a traveling wave and a standing wave. Now he says there is no difference. Cecil, Utter nonsense. I have never said any such thing. What I *did* say, and it is still true today, is that there is no difference between a standing wave and its *constituent* traveling wave components. It is purely a matter of mathematical convenience. There is no underlying hidden physics available from trying to look at only one of the traveling wave components. If you sort out an individual component then the standing wave is no longer there. ad hominem Your debating style is a bit rough, but it is clear from this thread that others have observed your tricks. /ad hominem 73, Gene W4SZ |
Revisiting the Power Explanation
Owen Duffy wrote:
I see you are back to using S parameters to disguise the fact you are using about Vf and Vr in trying to support your "power wave" explanation of what happens on the transmission line. Others use the term "power wave", Owen, but *I DO NOT* so please stop accusing me of something of which I am not guilty. I use the term "EM RF energy wave" for the traveling waves under discussion. When anyone can prove that RF energy waves don't exist or are not associated with EM energy or don't move at the speed of light, I will retire from the argument. Good luck on that one. S parameters are ratios of Vf and Vr. Exactly! No disguise intended - it's just additional support from the well respected field of S-parameter analysis for the distributed network wave reflection model. The only difference is that the S-parameter Vf and Vr values are normalized to Z0 so when they are squared they indeed do yield watts. Your tone seems to reject the S-Parameter analysis as a valid model of reality. Any model that has to resort to rejecting the S-Parameter analysis as well as the distributed network wave reflection model is certainly suspect. Did you ever see the movie, "One Bridge Too Far"? This "reflected wave energy doesn't exist" argument reminds me of that movie. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Owen Duffy wrote:
This gets confusing. You are talking about "the amount of EM wave energy contained in a transmission line" and now you qualify it with "values averaged over an integer number of RF cycles in one second". Average energy over time is POWER... are you talking about power and foxing us by calling it energy. I am confused. I have been convinced by Jim, AC6XG, to abandon the word "power" because of the difference in definitions between the field of physics and the field of RF engineering. Jim would argue with you and say that average energy over time is NOT necessarily POWER and is only power if actual work is done which, of course, is not done by a reflected wave. So you need to go off and argue with Jim over the definition of "power". Instead of talking about power, Jim has convinced me to talk about watts or joules/sec which he says are not necessarily power. The confusion comes from the field of physics, not from me. While you are talking to Jim, get him to explain the definition of "transfer". -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Cecil Moore wrote in
: Your tone seems to reject the S-Parameter analysis as a valid model of reality. Any model that has to Not at all. S parameters are Vf and Vr based and when properly applied will produce exactly the same analysis outcome. It is the application of S parameters in the "power flow analysis" that is a reach, it might be convenient, but it does not legitmise the argument that forward and reflected "power waves" exist separately. A quote from HP (which you seem to respect): ===quote Notice that the square of the magnitude of these new variables has the dimension of power. |a1|^2 can then be thought of as the incident power on port one; |b1|^2 as power reflected from port one. These new waves can be called traveling power waves rather than traveling voltage waves. Throughout this seminar, we will simply refer to these waves as traveling waves. ===equote There is a difference between "can then be thought of as..." and "are...". Owen |
Revisiting the Power Explanation
Gene Fuller wrote:
Utter nonsense. I have never said any such thing. Yes, you did, in the part that you deleted. Here it is again: Gene Fuller, W4SZ wrote: In a standing wave antenna problem, such as the one you describe, there is no remaining phase information. Any specific phase characteristics of the traveling waves died out when the startup transients died out. Phase is gone. Kaput. Vanished. Cannot be recovered. Never to be seen again. What I *did* say, and it is still true today, is that there is no difference between a standing wave and its *constituent* traveling wave components. The constituent traveling wave components possess changing phase. The standing wave doesn't possess changing phase. You are contradicting yourself. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Gene, W4SZ wrote:
"No need to account for any mythical power in the reflected waves." My dictionary defines reflected power as: "The power flowing back to the generator from the load." Maximum power theorem is defined as: "The maximum power will be absorbed by one network from another joined to it at two terminals, when the impedance of the receiving network is varied, if the impedances (looking into the two networks at the junction) are conjugates of each other." Clearly a generator (transmitter) connected to a load through a lossless line sees Zo of the line as its load until the instant that reflected power returns to the generator from the load. Suppose the round-trip delay of the line makes the reflected voltage exactly in phase with the transmitter output. further suppose the reflection was total so that the reflected voltage exactly equals the transmitter output. In this special case, we might as well be connecting identical battery cells in parallel. No current is going to flow. The generator is seeing infinite impedance. What is the generator load that extracts maximum power from a transmitter? A conjugately matched load, of course. To determine the impedance of a transmitter, one only needs to find the load which extracts maximum power. The transmitter impedance is its conjugate. Best regards, Richard Harrison, KB5WZI |
Revisiting the Power Explanation
Owen Duffy wrote:
It is the application of S parameters in the "power flow analysis" that is a reach, it might be convenient, but it does not legitmise the argument that forward and reflected "power waves" exist separately. Nth reminder to you: Please stop implying something I didn't say. I have said that forward and reflected RF traveling energy waves exist separately. If you can find an example of me using the term "power wave" in the 21st century, I will send you a $100 bill. A quote from HP (which you seem to respect): Throughout this seminar, we will simply refer to these waves as traveling waves. There is a difference between "can then be thought of as..." and "are...". EXACTLY! You and I are generally in agreement except when you accuse me of nonsense like "power waves". Please cease and desist! I simply refer to these waves as traveling energy waves, NOT POWER WAVES! -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Cecil Moore wrote in
: Owen Duffy wrote: This gets confusing. You are talking about "the amount of EM wave energy contained in a transmission line" and now you qualify it with "values averaged over an integer number of RF cycles in one second". Average energy over time is POWER... are you talking about power and foxing us by calling it energy. I am confused. I have been convinced by Jim, AC6XG, to abandon the word "power" because of the difference in definitions between the field of physics and the field of RF engineering. Jim would argue with you and say that average energy over time is NOT necessarily POWER and is only power if actual work is done which, of course, is not done by a reflected wave. So you need to go off and argue with Jim over the definition of "power". Instead of talking about power, Jim has convinced me to talk about watts or joules/sec which he says are not necessarily power. The confusion comes from the field of physics, not from me. While you are talking to Jim, get him to explain the definition of "transfer". A neat diversion from the issue re the "amount of energy" qualified later as a average over time which is a different quantity, Joules vs Watts to many of us. The fact is that the energy stored in a transmission line in the steady state is in the general case, a time variable, and you cannot state the energy (in joules) at a point in time knowing only forward and reflected power and the one way propagation time. So Cecil, Is it all about semantics? Is the lack of a shared language the cause of difficulty understanding your concepts. You wouldn't be alone, Art experiences the same difficulties with convention. Owen |
Revisiting the Power Explanation
On Thu, 22 Mar 2007 15:55:40 GMT, Walter Maxwell
wrote: On Wed, 21 Mar 2007 08:18:14 -0500, "Richard Fry" wrote: "Walter Maxwell" wrote (RF): And if so, would that also mean that such a tx would not be prone to producing r-f intermodulation components when external signals are fed back into the tx from co-sited r-f systems? This issue is irrelevant, because the signals arriving from a co-sited system would not be coherent with the local source signals, while load- reflected signals are coherent. The destructive and constructive interference that occurs at the output of a correctly loaded and tuned PA requires coherence of the source and reflected waves to achieve the total re-reflection of the reflected waves back into the direction toward the load. Hi Walt, It is not irrelevant, merely illustrative of the concept of reflection that is consistent with a coherent source. Your points of phase are the sine non quo to the discussion, but all too often arguers only take the half of the 360 degrees available to argue a total solution. Even more often, they take only one or two degrees of the 360. But even for coherent reflections, if the PA tank circuit has very low loss for incident power (which it does), why does it not have ~ equally low loss for load reflections of that power? Such would mean that load reflections would pass through the tank to appear at the output element of the PA, where they can add to its normal power dissipation. This is the symmetry of the illustration of external signals. You used external signals yourself as part of your case study; hence the relevance has been made by you. Also, does not the result of combining the incident and reflected waves in the tx depend in large part on the r-f phase of the reflection there relative to the r-f phase of the incident wave? And the r-f phase of the reflection is governed mostly by the number of electrical wavelengths of transmission line between the load reflection and the plane of interest/concern -- which is independent of how the tx has been tuned/loaded. And we return to the sine non quo for the discussion: phase. If the ham transmitter designs that your paper applies to produce a total re-reflection of reverse power seen at their output tank circuits, then there would be no particular need for "VSWR foldback" circuits to protect them. Yet I believe these circuits are fairly common in ham transmitters, aren't they? They certainly are universal in modern AM/FM/TV broadcast transmitters, and are the result of early field experience where PA tubes, tx output networks, and the transmission line between the tx and the antenna could arc over and/or melt when reflected power was sufficiently high. RF Richard, your statement above begs the question, "Are you aware of the phase relationships between forward and reflected voltages and between forward and reflected currrents that accomplish the impedance-matching effect at matching points such as with stub matching and also with antenna tuners? It seems he is on the face of it, doesn't it? Afterall, he is quite explicit to this in the statement you are challenging. When the matching is accomplished the phase relationship between the foward and reflected voltages can become either 0° or 180°, resulting in a total re-reflection of the voltage. If the resultant voltage is 0°, then the resultant current is 180°, thus voltage sees a virtual open circuit and the current sees a virtual short circuit. The result is that the reflected voltage and current are totally re-reflected IN PHASE with the source voltage and current. This is the reason the forward power in the line is greater than the source power when the line is mismatched at the load, but where the matching device has re-reflected the reflected waves. Nothing here contradicts anything either of you have to say. This phenomenon occurs in all tube transmitters in the ham world when the tank circuit is adjusted for delivering all available power at a given drive level. This introduces the two concepts of the "need for match" and the "match obtained." They are related only through an action that spans from one condition to the other. They do not describe the same condition, otherwise no one would ever need to perform the match: When this condition occurs the adjustment of the pi-network has caused the relationship between the forward and reflected voltages to be either 0° or 180° and vice versa for currents, as explained above. When this condition occurs, destructive interference between the forward and reflected voltages, as well as between the forward and reflected currents, causes the reflected voltage and current to cancel. However, due to the conservation of energy, the reflected voltage and current cannot just disappear, so the resulting constructive interference following immediately, causes the reflected voltage and current to be reversed in direction, now going in the foward direction along with and in phase with the forward voltage and current. If a tree were to fall onto the antenna, a new mismatch would occur. Would the transmitter faithfully meet the expectations of the Ham unaware of the accident? No, reflected (0-179 degrees) energy would undoubtedly offer a 50% chance of excitement in the shack. The consequences of dissipation would be quite evident on that occasion. For the other 180 (180-359) degrees of benign combination; then perhaps not. In transmitters with tubes and a pi-network output coupling circuit there is no 'fold back' circuitry to protect the amp, because none is needed, due to the total re-reflection of the reflected power. That would more probably be due to cost averse buying habits of the Amateur community, and the explicit assumption of risk by them to react appropriately in the face of mismatch. Tubes were far more resilient to these incidents than transistors of yore. It is only in solid-state transmitters that have no circuitry to achieve destructive and constructive interference that requires fold back to protect the output transistors. They too have access to the services of a transmatch that is probably more flexible than the tubes' final. If they didn't use a tuner, then the foldback would render many opportunistic antennas as useless. Again, as a cost item, this solution (fold-back) is dirt cheap and was driven by the market economies of a more onerous and costly repair through a lengthy bench time to replace the transistor (which has an exceedingly high probability of a quicker failure for a poor job). 73's Richard Clark, KB7QHC |
Revisiting the Power Explanation
Owen Duffy wrote:
The fact is that the energy stored in a transmission line in the steady state is in the general case, a time variable, and you cannot state the energy (in joules) at a point in time knowing only forward and reflected power and the one way propagation time. The time-averaged energy stored in a transmission line doesn't vary with time (by definition) unless something changes. If the forward and reflected powers are based on fixed RMS values of voltage and current with fixed sources and loads, then certainly, time-averaged energy values can be calculated. That's the nature of *irradiance* in optics where instantaneous values are impossible to measure. The Power Flow Vector is analogous to irradiance. Is it all about semantics? Is the lack of a shared language the cause of difficulty understanding your concepts. No, the basic problem is that you keep accusing me of saying something I never said. I have never used the term "power wave" except in postings like this one. I have no idea what is the definition of "power wave". How it feels: It feels to me like you are one of a number of people willing to reject the basic principles of physics in order to mount an argument with me or anyone else who have been convinced by those laws of physics that reflected energy waves exist in reality - you know, the ones you actually see when looking in a mirror? -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Cecil Moore wrote:
Gene Fuller wrote: Utter nonsense. I have never said any such thing. Yes, you did, in the part that you deleted. Here it is again: Gene Fuller, W4SZ wrote: In a standing wave antenna problem, such as the one you describe, there is no remaining phase information. Any specific phase characteristics of the traveling waves died out when the startup transients died out. Phase is gone. Kaput. Vanished. Cannot be recovered. Never to be seen again. What I *did* say, and it is still true today, is that there is no difference between a standing wave and its *constituent* traveling wave components. The constituent traveling wave components possess changing phase. The standing wave doesn't possess changing phase. You are contradicting yourself. Cecil, Sorry, I thought that English was your native tongue. Would you like me to try to translate into another preferred language? Hint: I stand by everything I have said in the quotes above. No contradictions at all. 73, Gene W4SZ |
Revisiting the Power Explanation
Gene Fuller wrote:
Sorry, I thought that English was your native tongue. Would you like me to try to translate into another preferred language? Translation: I've been caught red-handed by my own American English words. Maybe converting to an obscure foreign language would give me more wiggle room. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
"Owen Duffy" wrote So Cecil, Is it all about semantics? Is the lack of a shared language the cause of difficulty understanding your concepts. You wouldn't be alone, Art experiences the same difficulties with convention. Owen Great deduction, Owen! Perhaps Art would benefit from a copy of "Gaussian Optics, with Definitions". Thinkiing about that makes me wonder....if Cecil were to feed a one-second long transmission line, 50 Zo, terminated by Art's Gaussian Array, how long before the (power)(energy)(whatever) starts sloshing ?? Mike W5CHR |
Revisiting the Power Explanation
Mike Lucas wrote:
"Owen Duffy" wrote So Cecil, Is it all about semantics? Is the lack of a shared language the cause of difficulty understanding your concepts. You wouldn't be alone, Art experiences the same difficulties with convention. Great deduction, Owen! Unfortunately, Owen may be the one with the semantic problem. He has quoted me as uttering the phase, "power wave", which I have never, to the best of my memory, ever uttered. A $100 bill is awaiting proof of his assertions. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
On Mar 22, 12:31 pm, (Richard Harrison)
wrote: What is the generator load that extracts maximum power from a transmitter? A conjugately matched load, of course. To determine the impedance of a transmitter, one only needs to find the load which extracts maximum power. The transmitter impedance is its conjugate. Best regards, Richard Harrison, KB5WZI We have a new signal generator here at the Labs, but it came without any documentation. We've been hoping to find out more about it, and your suggestion gave us a clue for a test to try. We have a limited set of loads, only from 40 to 60 ohms, but we can add some known reactance in series with that. When we put an accurate 50 ohm load on the generator, we measured exactly 1 watt with our accurate RF power meter. When we changed the load to 40 ohms, the power went up to 1.238 watts, and with a 60 ohm load, it was .839 watts. When we add reactance, either capacitive or inductive, the power goes down, so we're pretty sure the generator output doesn't look reactive. Beaker is having a little trouble with the math on this one. Could you help him out? What sort of output impedance does this generator have? Oh, and we thought to do another experiment. While the generator was operating, we sent a short burst of RF down a 50 ohm transmission line to the generator's output. Because the power measurements seem to say the generator's output resistance is very low, we thought we would see a return pulse, delayed by the round-trip time down the 15 meters of high-quality cable. But we didn't see any echo. What could be going on? We double-checked everything, and even looked into the line next to the generator with a high impedance probe. We can see the burst going in there, but still nothing comes back. From the labs, Dr. Honeydew |
Revisiting the Power Explanation
"Dr. Honeydew" wrote in
oups.com: On Mar 22, 12:31 pm, (Richard Harrison) wrote: What is the generator load that extracts maximum power from a transmitter? A conjugately matched load, of course. To determine the impedance of a transmitter, one only needs to find the load which extracts maximum power. The transmitter impedance is its conjugate. Best regards, Richard Harrison, KB5WZI We have a new signal generator here at the Labs, but it came without any documentation. We've been hoping to find out more about it, and your suggestion gave us a clue for a test to try. We have a limited If you have a suspicion that the generator might be 50 ohms, and you have a 50 ohm load, then the output voltage should fall by 6.02dB when the nominal load is connected (compared to o/c). One of the simple tests that is often used to verify that a generator is loaded properly is that adding a second nominal load in parallel reduces terminal voltage by 3.52dB. This test is often easy to perform, use a power meter for the first termination, watch the reduction in indicated power when a double termination is applied. Be mindful that transmission line lengths need to be short wrt operating frequency. Some numbers: 1st termination reduces output by 6.02dB; 2nd termination reduces output by 3.52dB; 3rd termination reduces output by 2.50dB; Owen .... |
Revisiting the Power Explanation
On 22 Mar 2007 20:08:59 -0700, "Dr. Honeydew"
wrote: What sort of output impedance does this generator have? With the "accurate RF power meter" determination of 1W, it appears to be a precision source (of 1W). The output impedance IS the 50 Ohm resistance you applied to it. This loading at the output terminals is a conventional usage of a precision source. 73's Richard Clark, KB7QHC |
Revisiting the Power Explanation
Dr. Honeydew wrote:
"We have a new signal generator here at the Labs, but it came without documentation," Terman elaborates on Thevenin`s theorem on page 74 of his 1955 opus. From Fig. 3-19 (b) on page 75, I would suggest loading the generator with resistance until its open-circuit voltage is cut in half. That resistance should equal the internal impedance of the generator which you have already determined is resistive. Provided you don`t maintain that sort of overload too long on your 1-watt source, you should do no damage to it. Best regards, Richard Harrison, KB5WZI |
Revisiting the Power Explanation
On Mar 21, 4:25 pm, Dan Bloomquist wrote:
Keith Dysart wrote: A simple example that I can never make add up is a 50 Watt generator with a 50 ohm output impedance, driving a 50 ohm line which is open at the end. Using the "reverse power" explanation, 50 W of "forward power" from the generator is reflected at the open end, providing 50 W of "reverse power". Since the generator is matched to the line there is no reflection when this "reverse power" reaches the generator so it disappears into the generator.... I explained this last week, albeit for a different reason. I'll paste: *** Hi Richard, He says it in the last sentence. But here is an example. Take a 50 ohm thevinin source. Power off, it looks like 50 ohms back into it. Take a second thevinin source to represent a reflection and drive 5 volts into the first source. Now set your first source 180 degrees to the reflection and drive forward 5 volts. (s)-----/\/\/\--------(c)-----/\/\/\--------(r) (s)source (c)connection (r)reflection. With (s) 180 degrees out of phase from (r), (r) will see a short at (c). It is because of the power generated at the source that the impedance into it can look purely reactive. And, you can use 5 ohms with 1 volt at the source, (c) will still look like a short to (r). The source resistance doesn't matter as long as a 'match' is made. And for the same reason, why the 50 ohm line doesn't look like 50 ohms is because of reflected power. Drive an open quarter wave line and it looks like a short because the reflected voltage is 180 degrees out from the source. *** So you don't like my example? Well I can use yours then. While you use the word 'power', the real analysis in your example is all done with volts. This is excellent and helps demonstrate my point that 'reverse power' is not needed as an explanation. We can carry on from the analysis you have done and compute some powers. The real power at (c) is 0 Watts (the voltage is 0 at all times so using P=VI, the power must be zero). Assuming that when you say "drive 5 volts", you mean that the voltage source in the Thevenin equivalent generator is set to 10 V, the 'forward power' at (c) is 0.5 W and the 'reverse power' is 0.5 W. When subtracted, these produce the expected result of 0 W which agrees with the actual computed power. All is well. (And yes, the Bird works for determining this result). Now consider someone who believes in the reality of 'forward' and 'reflected power'. There is 0.5 W of 'forward power' which reaches the generator at the right. Since the impedance of this generator is the same as the characteristic impedance of the line (or the left generator in this example because there is no line), there is no reflection so the 'power' must go into the generator. Similarly with no reflection, the 'reverse power' goes into the generator. Where does this power go? If 'reverse power' is real, then it needs to be accounted. Since there are many examples for which this accounting can not be done it leads to the inescapable conclusion that 'reverse power' does not really exist. (Please though, this does not mean that forward and reverse voltages and currents do not exist. The fundamental error being committed is that it is not valid to multiply the voltages and currents computed using superposition to produce powers that actually represent flowing energy). Any reader is invited to prove me wrong by providing an accounting for the 'reverse power' when it reaches the generator whose output impedance matches the characteristic impedance of the line (i.e. no reflection). ....Keith |
Revisiting the Power Explanation
On Mar 22, 12:20 am, Cecil Moore wrote:
This is a lot like the 1/2WL W7EL example in his food for thought articles. The generator is *NOT* matched to the line as it sees an open circuit and cannot continue to stuff 50 watts into the open circuit. The generator is as mismatched as it can possibly be. The reflected wave also sees that open circuit and is 100% reflected. Since the generator is not delivering any power and there is a forward power and a reflected power, the reflected power is supplying the forward power. Anything else violates the conservation of energy principle. I suggest that you have quite mixed up your impedances here thus rendering all further analysis invalid. At any point in the system there are 4 impedances. There is the characteristic impedance looking left and the characteristic impedance looking right. For systems in sinusoidal steady-state, there is also the effective impedance looking left and the effective impedance looking right. The characteristic impedance is dependant only the elements of the system. It does not depend on the length of the line or the frequency of excitation. At changes in the characteristic impedance, reflections occur. This impedance can be used for transient as well as steady-state analysis of a system. The effective impedance is dependant on the characteristic impedances of the components of the system, as well as line length and excitation frequency. It can only be used for steady-state analysis. It does not cause reflections. Until these impedances are kept straight in discussions, there is no hope for correctness. ....Keith |
Revisiting the Power Explanation
"Dr. Honeydew" wrote
Oh, and we thought to do another experiment. While the generator was operating, we sent a short burst of RF down a 50 ohm transmission line to the generator's output. Because the power measurements seem to say the generator's output resistance is very low, we thought we would see a return pulse, delayed by the round-trip time down the 15 meters of high-quality cable. But we didn't see any echo. What could be going on? We double-checked everything, and even looked into the line next to the generator with a high impedance probe. We can see the burst going in there, but still nothing comes back. ____________ Below is a link leading to a documented, real-world RF pulse measurement to think about. The reflection results from an antenna mismatch at the far end of ~1,600 feet of air-dielectric transmission line. A directional coupler and calibrated, step attenuator allow for accurate measurement of the weak return pulse amplitude in the presence of the much greater incident pulse. Note that the reflection is (barely) seen even in the incident display, time-aligned with its location in the reflected display. Reflections DO exist in such systems, but measuring them requires appropriate instrumentation and methodology. http://i62.photobucket.com/albums/h8...easurement.gif RF |
Revisiting the Power Explanation
Keith Dysart wrote:
Any reader is invited to prove me wrong by providing an accounting for the 'reverse power' when it reaches the generator whose output impedance matches the characteristic impedance of the line (i.e. no reflection). Destructive interference at the generator output terminal is all the accounting one needs. Here's a mental aid to help see what happens to the reflected energy. Assume the output impedance of the generator and the characteristic impedance of the line are Z1. Assume THE GENERATOR SEES Z2 AS A LOAD. Z2 is a general case impedance and could have any value depending upon the load ZLoad which is not equal to Z1. The load is mismatched and therefore Pref1 is not zero. Gen---Z1 t-line----ZloadZ1 Pfor1-- --Pref1 You say reflected energy flows into the generator. I'll show you why it does NOT and that total destructive interference is responsible for eliminating reflections at the generator. Add any length of lossless transmission line with a characteristic impedance of Z2 at the output of the generator (nothing changes) so it looks like: Gen---Z2 t-line---+---Z1 t-line----loadZ1 Pfor2-- Pfor1-- --Pref2=0 --Pref1 Pfor1 and Pref1 are the same values as above. The Z2 t-line has NO reflected waves because it is terminated in its characteristic impedance Z2. The Generator continues to see Z2 as a load. One has to admit that nothing at the Generator output has changed. THE GENERATOR SEES EXACTLY THE SAME LOAD IMPEDANCE IN BOTH CASES. NOTHING HAS CHANGED IN THE SYSTEM EXCEPT OUR ABILITY TO ANALYZE IT. Now a simple energy analysis will indicate what happens to the reflected waves on the Z1 t-line. Since Pref2=0, the system is Z0-matched to Z2 at point '+'. Total destructive interference is what happens to the reflected waves on the Z2 t-line. All of the reflected energy is re-reflected back toward the load at the Z2- match point '+'. NONE OF THE REFLECTED ENERGY REACHES THE GENERATOR SO NONE OF THE REFLECTED ENERGY CAN BE ABSORBED BY THE GENERATOR IMPEDANCE. So there you have it - a detailed mathematically based reason why the reflected energy does not make it into the generator in your example. To fully understand why zero reflected energy flows in the generator, one needs to understand superposition along with destructive and constructive interference. This is covered in more detail in my WorldRadio Energy Analysis article at: http://www.w5dxp.com/energy.htm I would recommend that everyone interested in this subject read the "Optics", by Hecht chapters on superposition and interference of EM waves. It is the best treatment that I have seen in writing. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Keith Dysart wrote:
On Mar 22, 12:20 am, Cecil Moore wrote: This is a lot like the 1/2WL W7EL example in his food for thought articles. The generator is *NOT* matched to the line as it sees an open circuit and cannot continue to stuff 50 watts into the open circuit. The generator is as mismatched as it can possibly be. The reflected wave also sees that open circuit and is 100% reflected. Since the generator is not delivering any power and there is a forward power and a reflected power, the reflected power is supplying the forward power. Anything else violates the conservation of energy principle. I suggest that you have quite mixed up your impedances here thus rendering all further analysis invalid. No, I may have confused you but I did not mix up the impedances. What the generator and reflected wave "sees" above refers to the effective or virtual impedance, the ratio of V/I designated by Z1, Z2, etc. The characteristic impedances are designated by Z01, Z02, etc. At any point in the system there are 4 impedances. There is the characteristic impedance looking left and the characteristic impedance looking right. For systems in sinusoidal steady-state, there is also the effective impedance looking left and the effective impedance looking right. Yes, nothing I said disagrees with that. I will try to draw an ASCII block diagram from now on. The characteristic impedance is dependant only the elements of the system. It does not depend on the length of the line or the frequency of excitation. At changes in the characteristic impedance, reflections occur. This impedance can be used for transient as well as steady-state analysis of a system. Yes, nothing I said disagrees with that. The effective impedance is dependant on the characteristic impedances of the components of the system, as well as line length and excitation frequency. It can only be used for steady-state analysis. It does not cause reflections. Yes, nothing I said disagrees with that. Until these impedances are kept straight in discussions, there is no hope for correctness. OK, I will insert the impedances for you in what you quoted above. This is a lot like the 1/2WL W7EL example in his food for thought articles. 50wGen---1/2WL open-circuit stub---Z=infinity Pfor=50w-- --Pref=50w The generator is *NOT* matched to the load as it sees an open circuit (effective Z=infinity) and cannot continue to stuff 50 watts into the open circuit. The generator is as mismatched as it can possibly be. The reflected wave also sees that open circuit (Z=infinity) and is 100% reflected. The reflected wave encounters the source wave which puts the voltages in phase and the currents 180 degrees out of phase. That's what happens at an open circuit. Since the generator is not delivering any power and there is a forward power and a reflected power, the reflected power is supplying the forward power, i.e. being 100% re-reflected. The re-reflection is associated with total destructive interference toward the generator and total constructive interference toward the load. Anything else violates the conservation of energy principle. -- 73, Cecil http://www.w5dxp.com |
Revisiting the Power Explanation
Keith Dysart wrote:
On Mar 21, 4:25 pm, Dan Bloomquist wrote: Keith Dysart wrote: A simple example that I can never make add up is a 50 Watt generator with a 50 ohm output impedance, driving a 50 ohm line which is open at the end. Using the "reverse power" explanation, 50 W of "forward power" from the generator is reflected at the open end, providing 50 W of "reverse power". Since the generator is matched to the line there is no reflection when this "reverse power" reaches the generator so it disappears into the generator.... So you don't like my example? Your example assumes that the reflected power will see the 50 ohms of the generator. And I had shown you a condition where it will see a short no mater what the 'output' impedance of the generator. While you use the word 'power', the real analysis in your example is all done with volts. This is excellent and helps demonstrate my point that 'reverse power' is not needed as an explanation. We can carry on from the analysis you have done and compute some powers. The real power at (c) is 0 Watts (the voltage is 0 at all times so using P=VI, the power must be zero). It is a short. It is just that simple. If you have any kind of lab, take a long piece of coax and drive it with a pulse and watch with a scope. Find out for yourself that energy will reflect off a short. Assuming that when you say "drive 5 volts", you mean that the voltage source in the Thevenin equivalent generator is set to 10 V, the 'forward power' at (c) is 0.5 W and the 'reverse power' is 0.5 W. When subtracted, these produce the expected result of 0 W which agrees with the actual computed power. All is well. (And yes, the Bird works for determining this result). Now consider someone who believes in the reality of 'forward' and 'reflected power'. There is 0.5 W of 'forward power' which reaches the generator at the right. Since the impedance of this generator is the same as the characteristic impedance of the line (or the left generator in this example because there is no line), there is no reflection so the 'power' must go into the generator. No. (c) is a short. It is just that simple. The power does not flow past it 'into the other generator'. If you have any doubt that power is reflected from a short you have not made the observation. And if you have not made an observation that contradicts this, you can not make the claim of a contradiction. snip assumptions based on a false premise Any reader is invited to prove me wrong by providing an accounting for the 'reverse power' when it reaches the generator whose output impedance matches the characteristic impedance of the line (i.e. no reflection). If you stick to the premise that the reflected power sees the generator impedance it can't be 'proven wrong'. I can say that gravity doesn't exist all day long but that won't make it so. The observation will 'prove' me wrong. |
Revisiting the Power Explanation
On Mar 22, 10:43 pm, Richard Clark wrote:
On 22 Mar 2007 20:08:59 -0700, "Dr. Honeydew" wrote: What sort of output impedance does this generator have? With the "accurate RF power meter" determination of 1W, it appears to be a precision source (of 1W). The output impedance IS the 50 Ohm resistance you applied to it. This loading at the output terminals is a conventional usage of a precision source. 73's Richard Clark, KB7QHC Thank you, Mr. Clark. But I'm having trouble reconciling what you wrote with what Mr. Harrison posted about the output impedance being equal to the conjugate of the load which dissipates the most power. Clearly the 40 ohm load dissipates more power than the 50 ohm load, so we don't see how your answer and Mr. Harrison's posting can both be correct. From the labs, Dr. Honeydew |
Revisiting the Power Explanation
On Mar 20, 3:37 pm, Walter Maxwell wrote:
One of the issues discussed in this thread that Owen originated concerned whether or not reflected power enters the power amp and dissipates as heat in the plates of the amp. Some of the posters apparently are unable to appreciate that the reflected power does not cause heating of the amp, unless the reflected power detunes the amp and the amp is left detuned from resonance, which of course is not the correct manner of operating the amp. In the last post of the original thread I presented the details of an experiment I performed (one of many using the same procedure) on a Kenwood TS-830S transceiver that proves how and why reflected power in no way causes heating of the amp when the amp is properly adjusted in the presence of the reflected power. Usually, such a presentation as in the last post in that thread evokes a great deal of response, as for example, Art Unwin's. So I'm somewhat surprised, and a little disappointed that my post has resulted in total silence. Have my efforts in helping to solve the problem gone for naught? Walt, W2DU I have followed this thread with interest There are some who seem to dispute the existance of reflected power and its ability to do damage. My answear is that reflected power can certainly do so any one want to run a completly detuned antenna to prove me wrong may do so at their expence and risk. as to it causing heat in the amp of course not the extra work that the amp has to do to "push" the signal to the antenna does. if a semiconductive device is over worked then it will produce heat. The old thermonic valves are far more tolerant than semiconductors. mike M0DMD |
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