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what happens to reflected energy ?
On 9 jun, 02:07, Richard Clark wrote:
On Tue, 8 Jun 2010 12:17:37 -0700 (PDT), Wimpie wrote: When we go back to my first posting in this thread (the first reply) where I stated that amplifiers do not show 50 Ohms in general, is not that strange and doesn't violate Walt's conclusions. Hi Wimpie, Time to rewind: On Thu, 27 May 2010 19:32:40 -0700 (PDT), walt wrote: The source resistance data reported in Secs 19.8 and 19.9 were obtained using the load variation method with resistive loads. Note that of the six measurements of output source resistance reported in Table 19.1, the average value of the resistance is 50.3 ohms obtained with the reference load resistance of 51.2 ohms, exhibiting an error of only 1.8 percent. Considering these two explicit initial conditions and findings: 1. Using a Kenwood TS-830S transceiver as the RF source, the tuning and loading of the pi-network are adjusted to deliver all the available power into a 50 + j0-ohm load with the grid drive adjusted to deliver the maximum of 100 watts at 4 MHz, thus establishing the area of the RF power window at the input of the pi-network, resistance RLP at the plate, and the slope of the load line. The output source resistance of the amplifier in this condition will later be shown to be 50 ohms. In this condition the DC plate voltage is 800 v and plate current is 260 ma. DC input power is therefore 800 v ? 0.26 a = 208 w. Readings on the Bird 43 wattmeter indicate 100 watts forward and zero watts reflected. (100 watts is the maximum RF output power available at this drive level.) From here on the grid drive is left undisturbed, and the pi-network controls are left undisturbed until Step 10. 2. The amplifier is now powered down and the load resistance RL is measured across the input terminals of the resonant pi-network tank circuit (from plate to ground) with an HP-4815 Vector Impedance Meter. The resistance is found to be approximately 1400 ohms. Because the amplifier was adjusted to deliver the maximum available power of 100 watts prior to the resistance measurement, the averaged resistance RLP looking into the plate (upstream from the network terminals) is also approximately 1400 ohms. Accordingly, a non-reactive 1400-ohm resistor is now connected across the input terminals of the pi-network tank circuit and source resistance ROS is measured looking rearward into the output terminals of the network. Resistance ROS was found to be 50 ohms. Quite explicit. *Rated power into the rated Z load revealed a conjugate basis Z match (afterall 50=50) or an image basis Z match (50=50). *The pi-network simply transformed the source/load. *Anyone skilled with the concept of the Smith Chart can immediately follow that logical construct. We even get the plate resistance which conforms to within published specifications for the pair of tubes. We even get the near classic result of a conjugate basis Z match efficiency (however, only in the first pass approximation). How asking the same question: * "Does Walt's data support the evidence of a Conjugate Match?" migrates into responses to other issues is a strange dance. *I ask "up or down," and everyone wants to vote sideways. When you don't touch the plate and load capacitor and change from 50 Ohms to a load with VSWR = 2, you violate Walt's conditions I have not the vaguest idea where you got the idea that I changed anything. *The totality of my discussion never budged from steps 1 and 2 and I deliberately and clearly confined all matters there and repeated them more than occasionally. In case of doubt use the forward power measurement technique, I have, and the data I've asked from you was not intended for some one-time design for a unique application. *This is an Ham radio group, and the object under consideration is an Ham transmitter. *Feel free to substitute freely among a similar class (frequency range, power output) such that others might compare their own. * when it changes under varying load, your amplifier doesn’t behave as a 50 Ohms source. This is the most curious statement that eventually comes down the pike. *It is like I am talking to a novice to explain: * * * * "That is what the tuner is for!" Maybe I had to be more precise to mention the exceptions: forward power control loop as mentioned by Roy, What Roy is describing is nothing close to Walt's hypothesis that I have confined to a single point observation. *No one has advanced claims made that demonstrate: 1. *Constant Z across all loads; 2. *Constant Z across all frequencies; 3. *Constant Power across all loads; 4. *Constant Power across all frequencies. No competent Ham expects that of any Ham transmitter. Walt reported a 50 Ohm source Z from a tube rig. *I have measured a 50 Ohm Z from two of my own transistor rigs. *The difference in technology is not an issue. *I have also been responsible for measuring RF power and source/load specifications within the chain of national standards laboratories. *Stretching the term RF, this spanned from DC to 12GHz for power levels up to 100W. *The sources across the board exhibited 50 Ohms Source Z. Your own national lab is represented at:http://www.vsl.nl/ They undoubtedly use the same reference citations as our National Institutes for Science and Technology. *********** Putting the entirety of this discussion aside, and returning to your very special project with an 9 Ohm source of RF at 8 Mhz. *How efficient was its operation feeding a 50 Ohm line to a 50 Ohm load? Can you document this with schematics, parts description, and measured data at key points from drain through to the load? *This was the level of available resources that came with Walt's discussion. 73's Richard Clark, KB7QHC Hello Richard, We can continue mentioning measurement results, do other claims, but that may not converge. Your results show 50 Ohms output impedance, mine show other. Such results cannot be verified easily, so this remains food for endless discussions. I decided to use another approach that can be verified by people having a (spice) simulator. I did simulations for some circuits that can be expected in the amateur world and aren't exotic. I put them over he http://www.tetech.nl/divers/PA_impedance.pdf . Now people can figure out what it IS and get their own educated opinion. I used low frequencies to avoid discussion about the validity of the simulations (parasitic inductances, etc). From these simulations it is clear that small changes in load or drive level result in large change of output impedance. This knowledge resulted in my statement: "an RF PA isn't a 50 Ohms source", what was/ is heavily disputed by you. Of course you can design to have better output VSWR under varying load or drive, but this is generally not done for systems that just have to deliver the power (transmitters). If you want to reproduce some of the results yourself, we can compare our spice netlists. I recently added a real class C example as this was heavily discussed in another thread. Best regards, Wim PA3DJS www.tetech.nl When you remove abc, PM will reach me. |
what happens to reflected energy ?
On Jun 13, 5:08*pm, Wimpie wrote:
On 9 jun, 02:07, Richard Clark wrote: On Tue, 8 Jun 2010 12:17:37 -0700 (PDT), Wimpie wrote: When we go back to my first posting in this thread (the first reply) where I stated that amplifiers do not show 50 Ohms in general, is not that strange and doesn't violate Walt's conclusions. Hi Wimpie, Time to rewind: On Thu, 27 May 2010 19:32:40 -0700 (PDT), walt wrote: The source resistance data reported in Secs 19.8 and 19.9 were obtained using the load variation method with resistive loads. Note that of the six measurements of output source resistance reported in Table 19.1, the average value of the resistance is 50.3 ohms obtained with the reference load resistance of 51.2 ohms, exhibiting an error of only 1.8 percent. Considering these two explicit initial conditions and findings: 1. Using a Kenwood TS-830S transceiver as the RF source, the tuning and loading of the pi-network are adjusted to deliver all the available power into a 50 + j0-ohm load with the grid drive adjusted to deliver the maximum of 100 watts at 4 MHz, thus establishing the area of the RF power window at the input of the pi-network, resistance RLP at the plate, and the slope of the load line. The output source resistance of the amplifier in this condition will later be shown to be 50 ohms. In this condition the DC plate voltage is 800 v and plate current is 260 ma. DC input power is therefore 800 v ? 0.26 a = 208 w. Readings on the Bird 43 wattmeter indicate 100 watts forward and zero watts reflected. (100 watts is the maximum RF output power available at this drive level.) From here on the grid drive is left undisturbed, and the pi-network controls are left undisturbed until Step 10. 2. The amplifier is now powered down and the load resistance RL is measured across the input terminals of the resonant pi-network tank circuit (from plate to ground) with an HP-4815 Vector Impedance Meter. The resistance is found to be approximately 1400 ohms. Because the amplifier was adjusted to deliver the maximum available power of 100 watts prior to the resistance measurement, the averaged resistance RLP looking into the plate (upstream from the network terminals) is also approximately 1400 ohms. Accordingly, a non-reactive 1400-ohm resistor is now connected across the input terminals of the pi-network tank circuit and source resistance ROS is measured looking rearward into the output terminals of the network. Resistance ROS was found to be 50 ohms. Quite explicit. *Rated power into the rated Z load revealed a conjugate basis Z match (afterall 50=50) or an image basis Z match (50=50). *The pi-network simply transformed the source/load. *Anyone skilled with the concept of the Smith Chart can immediately follow that logical construct. We even get the plate resistance which conforms to within published specifications for the pair of tubes. We even get the near classic result of a conjugate basis Z match efficiency (however, only in the first pass approximation). How asking the same question: * "Does Walt's data support the evidence of a Conjugate Match?" migrates into responses to other issues is a strange dance. *I ask "up or down," and everyone wants to vote sideways. When you don't touch the plate and load capacitor and change from 50 Ohms to a load with VSWR = 2, you violate Walt's conditions I have not the vaguest idea where you got the idea that I changed anything. *The totality of my discussion never budged from steps 1 and 2 and I deliberately and clearly confined all matters there and repeated them more than occasionally. In case of doubt use the forward power measurement technique, I have, and the data I've asked from you was not intended for some one-time design for a unique application. *This is an Ham radio group, and the object under consideration is an Ham transmitter. *Feel free to substitute freely among a similar class (frequency range, power output) such that others might compare their own. * when it changes under varying load, your amplifier doesn’t behave as a 50 Ohms source. This is the most curious statement that eventually comes down the pike. *It is like I am talking to a novice to explain: * * * * "That is what the tuner is for!" Maybe I had to be more precise to mention the exceptions: forward power control loop as mentioned by Roy, What Roy is describing is nothing close to Walt's hypothesis that I have confined to a single point observation. *No one has advanced claims made that demonstrate: 1. *Constant Z across all loads; 2. *Constant Z across all frequencies; 3. *Constant Power across all loads; 4. *Constant Power across all frequencies. No competent Ham expects that of any Ham transmitter. Walt reported a 50 Ohm source Z from a tube rig. *I have measured a 50 Ohm Z from two of my own transistor rigs. *The difference in technology is not an issue. *I have also been responsible for measuring RF power and source/load specifications within the chain of national standards laboratories. *Stretching the term RF, this spanned from DC to 12GHz for power levels up to 100W. *The sources across the board exhibited 50 Ohms Source Z. Your own national lab is represented at:http://www.vsl.nl/ They undoubtedly use the same reference citations as our National Institutes for Science and Technology. *********** Putting the entirety of this discussion aside, and returning to your very special project with an 9 Ohm source of RF at 8 Mhz. *How efficient was its operation feeding a 50 Ohm line to a 50 Ohm load? Can you document this with schematics, parts description, and measured data at key points from drain through to the load? *This was the level of available resources that came with Walt's discussion. 73's Richard Clark, KB7QHC Hello Richard, We can continue mentioning measurement results, do other claims, but that may not converge. Your results show 50 Ohms output impedance, mine show other. Such results cannot be verified easily, so this remains food for endless discussions. I decided to use another approach that can be verified by people having a (spice) simulator. *I did simulations for some circuits that can be expected in the amateur world and aren't exotic. *I put them over he *http://www.tetech.nl/divers/PA_impedance.pdf. *Now people can figure out what it IS and get their own educated opinion. I used low frequencies to avoid discussion about the validity of the simulations (parasitic inductances, etc). From these simulations it is clear that small changes in load or drive level result in large change of output impedance. *This knowledge resulted in my statement: "an RF PA isn't a 50 Ohms source", what was/ is heavily disputed by you. Of course you can design to have better output VSWR under varying load or drive, but this is generally not done for systems that just have to deliver the power (transmitters). If you want to reproduce some of the results yourself, we can compare our spice netlists. I recently added a real class C example as this was heavily discussed in another thread. Best regards, Wim PA3DJSwww.tetech.nl When you remove abc, PM will reach me. Hi Wim, I quote a statement you made in your above post: "From these simulations it is clear that small changes in load or drive level result in large change of output impedance. " Now I agree that changing the drive level will result in a change in output impedance. However, let's say you have just adjusted the amp to deliver all the available power into a given load at a given drive level, and now you change the load, but leave the drive level and all other adjustments of the amp untouched. Are you saying this change in load changes the output impedance? If so, please explain why. In addition, which situation has the greatest priority, data obtained from precise measurements or data obtained solely from simulations? Walt, W2DU |
what happens to reflected energy ?
On Sun, 13 Jun 2010 14:08:59 -0700 (PDT), Wimpie
wrote: This knowledge resulted in my statement: "an RF PA isn't a 50 Ohms source", what was/ is heavily disputed by you. Hi Wim, Your conclusion: "Under maximum power output matching given certain drive (not necessarily being the maximum drive), the output impedance equals the load resistor (the so-called "conjugated match condition")." It was not the only conclusion, but it certainly disputes what you say above. Given the easy access to real amplifiers available to Hams at their own bench, and further given that they do not present any more complexity than your own simulation; then I have to wonder why we have wandered into strange topologies. I am not interested in trying to follow 23 pages of dense presentation where you could have simulated Walt's finals, validated or rejected his data, and THEN formed your own conclusions. If this is a problem of simulation (you don't have that tube handy) what about topology? It looks more like a link coupled tank circuit from pre-WWII days. The Tank Q looks to be non-existent. When I rummage through the paper I find 4.4! This is certainly beyond the standard for PA design - and we have swapped out of the tube into a mosfet (would you care to stick to one objective?). Elsewhere (wandering back in tubes) I find a value of 10.3 (elsewhere it is 11) which inhabits the lowest margin of good design. Then an itinerant report of a cathode tank (????) whose Q is 0.44. Q appears to be of little concern. Again, typical Ham equipment shows Q as low as 10 - maybe, and that would be for a dog; but those that I have seen typically fall around 15, sometimes 20. As the Z transformation in plate/drain circuits varies by the square of Q, this is not inconsequential and it once again has me wondering why the strange topology? No, your paper lacks focus by trying to be all things (tubes, mosfets, Class AB, Class C). You examine the most inconsequential details as if they were equally important as those details that bear on your concern. The paper lacks structure. Headings are nothing more than feature descriptions, not argument development. There is a lot of discussion of the idiosyncrasies of simulation - I am not interested and that discussion creates the impression of hidden errors. Really, this stuff goes into an appendix not as the object of the narrative. The graphs are pretty diversions, but they don't add much. In the software industry, this is spaghetti design. I would prefer a conventional topology. I suppose that has come through clear. Pick one significant point, re-edit this into 4 pages and then you might have something interesting. This advice comes from one of our American writers, Mark Twain: "If I had more time, I would have written you a shorter letter." 73's Richard Clark, KB7QHC |
what happens to reflected energy ?
On Jun 10, 5:52 pm, K1TTT wrote:
On Jun 9, 2:04 am, Keith Dysart wrote: Exactly. And yet, were you to attach a DC-couple directional wattmeter to the line, it would indicate 50W forward and 50W reflected (using your corrected numbers). only as you monitored the initial transient. once the transient has passed there is no power flowing in the line. I agree completely with the second sentence. But the first is in error. A directional wattmeter will indeed show 50W forward and 50W reflected on a line with constant DC voltage and 0 current. I’ll start by providing support for your second sentence and then get back to reflected power. Choose an arbitrary point on the line and observe the voltage. The observed voltage will be a function of time. Let us call it V(t). At the same point on the line, observe the current and call it I(t). The energy flowing (i.e. power) at this point on the line will be P(t)=V(t)I(t). If the voltage is measured in volts and the current in amps, then the power will be in joules/s or watts. We can also compute the average energy flow (power) over some interval by integrating P(t) over the interval and dividing by the length of the interval. Call this Pavg. For repetitive signals it is convenient to use one period as the interval. Note that V(t) and I(t) are arbitrary functions. The analysis applies regardless of whether V(t) is DC, a sinusoid, a step, a pulse, etc.; any arbitrary function. To provide some examples, consider the following simple setup: 1) 50 ohm, Thevenin equivalent circuit provides 100 V in to an open circuit. 2) The generator is connected to a length of 50 ohm ideal transmission line. We will stick with ideal lines for the moment, because, until ideal lines are understood, there is no hope of understanding more complex models. 3) The ideal line is terminated in a 50 ohm resistor. Set the generator to DC: V(t)=50V, wherever it is measured on the line I(t)=1A, wherever it is measured on the line P(t)=50W, wherever it is measured on the line Pavg=50W No disagreement, I hope. Set the generator to generate a sinusoid: V(t)=50sin(wt) I(t)=1sin(wt) P(t)=25+25sin(2wt) Pavg=25W describes the observations at any point on the line. Measurements at different points will have a different phase relationship to each due to the delay in the line. Note carefully the power function. The power at any point on the line varies from 0 to 50W with a sinusoidal pattern at twice the frequency of the voltage sinusoid. The power is always positive; that is, energy is always flowing towards the load. Now let us remove the terminating resistor. The line is now open circuit. Again, set the generator to DC. After one round trip time, the observations at any point on the line will be: V(t)=100V I(t)=0A P(t)=0W Pavg=0W The story for a sinusoid is more interesting... The observations now depend on the location on the line where the measurements are performed. At a current 0: V(t)=100sin(Wt) I(t)=0A P(t)=0W Pavg=0W At a voltage 0: V(t)=0V I(t)=2sin(wt) P(t)=0W Pavg=0W Halfway between the current 0 at the load and the preceding voltage 0 (that is, 45 degrees back from the load: V(t)=70.7sin(wt) I(t)=1.414cos(wt) P(t)=50sin(2wt) Pavg=0W This tells us that for the first quarter cycle of the voltage (V(t)), energy is flowing towards the load, with a peak of 50W, for the next quarter cycle, energy flows towards the source (peak –50W), and so on, for an average of 0, as expected. For a sinusoid, when the load is other than an open or a short, energy flows forward for a greater period than it flows backwards which results in a net transfer of energy towards the load. At the location of current or voltage minima on the line, energy flow is either 0 or flows towards the load. All of the above was described without reference to forward or reflected voltages, currents or power. It is the basic circuit theory description of what happens between two networks. It works for DC, 60 HZ, RF, sinusoids, steps, pulses, you name it. If there is any disagreement with the above, please do not read further until it is resolved. Now it is time to introduce forward and reflected waves to the discussion. Forward an reflected waves are simply a mathematical transformation of V(t) and I(t) to another representation which can make solving problems simpler. The transformation begins with assuming that there is a forward wave defined by Vf(t)=If(t)*Z0, a reflected wave defined by Vr(t)=Ir(t)*Z0 and that at any point on the line V(t)=Vf(t)+Vr(t) and I(t)=If(t)-Ir(t). Since we are considering an ideal line, Z0 simplifies to R0. Simple algebra yields: Vf(t)=(V(t)+R0*I(t))/2 Vr(t)=(V(t)-R0*I(t))/2 If(t)=Vf(t)/R0 Ir(t)=Vr(t)/R0 Now these algebraically transformed expressions have all the capabilities of the original so they work for DC, 60 HZ, RF, sinusoids, steps, pulses, you name it. Some people look at the expression If(t)=Vf(t)/R0 and think it looks a lot like a travelling wave so they decide to compute the energy being moved by this wave: Pf(t)=Vf(t)*Vf(t)/R0 Pr(t)=Vr(t)*Vr(t)/R0 So let us explore the results when applied to the DC examples from above. Terminated with 50 ohms: Vf(t)=50V If(t)=1A Vr(t)=0V Ir(t)=0A Pf(t)=50W Pr(t)=0W This all looks good, no reflected wave and the appropriate amount of energy is being transported in the forward wave. Let us try the open ended line: Vf(t)=50V If(t)=1A Vr(t)=50V Ir(t)=1A which yield V(t)=Vf(t)+Vr(t)=100V I(t)=If(t)-Ir(t)=0A which is in agreement with the observations. But there is definitely a forward voltage wave and a reflected voltage wave. Carrying on to compute powers: Pf(t)=50W Pr(t)=50W and P(t)=Pf(t)-Pr(t)=0W So there you have it. The interpretation that the forward and reflected wave are real and transport energy leads to the conclusion that on a line charged to a constant DC voltage, energy is flowing in the forward direction and energy is flowing in the reflected direction. Because it is obvious that there is no energy flowing on the line, this interpretation makes me quite uncomfortable. Now there are several ways out of this dilemma. Some say they are only interested in RF (and optics), and that nothing can be learned from DC, steps, pulses or other functions. They simply ignore the data and continue with their beliefs. Some claim that DC is special, but looking at the equations, there is no reason to expect the analysis to collapse with DC. The best choice is to give up on the interpretation that the forward and reflected voltage waves necessarily transport energy. Consider them to be a figment of the analysis technique; very convenient, but not necessarily representing anything real. As an added bonus, giving up on this interpretation will remove the need to search for “where the reflected power goes” and free the mind for investment in activities that might yield meaningful results. ....Keith |
what happens to reflected energy ?
On 13 jun, 23:43, walt wrote:
On Jun 13, 5:08*pm, Wimpie wrote: On 9 jun, 02:07, Richard Clark wrote: On Tue, 8 Jun 2010 12:17:37 -0700 (PDT), Wimpie wrote: When we go back to my first posting in this thread (the first reply) where I stated that amplifiers do not show 50 Ohms in general, is not that strange and doesn't violate Walt's conclusions. Hi Wimpie, Time to rewind: On Thu, 27 May 2010 19:32:40 -0700 (PDT), walt wrote: The source resistance data reported in Secs 19.8 and 19.9 were obtained using the load variation method with resistive loads. Note that of the six measurements of output source resistance reported in Table 19.1, the average value of the resistance is 50.3 ohms obtained with the reference load resistance of 51.2 ohms, exhibiting an error of only 1.8 percent. Considering these two explicit initial conditions and findings: 1. Using a Kenwood TS-830S transceiver as the RF source, the tuning and loading of the pi-network are adjusted to deliver all the available power into a 50 + j0-ohm load with the grid drive adjusted to deliver the maximum of 100 watts at 4 MHz, thus establishing the area of the RF power window at the input of the pi-network, resistance RLP at the plate, and the slope of the load line. The output source resistance of the amplifier in this condition will later be shown to be 50 ohms. In this condition the DC plate voltage is 800 v and plate current is 260 ma. DC input power is therefore 800 v ? 0.26 a = 208 w. Readings on the Bird 43 wattmeter indicate 100 watts forward and zero watts reflected. (100 watts is the maximum RF output power available at this drive level.) From here on the grid drive is left undisturbed, and the pi-network controls are left undisturbed until Step 10. 2. The amplifier is now powered down and the load resistance RL is measured across the input terminals of the resonant pi-network tank circuit (from plate to ground) with an HP-4815 Vector Impedance Meter. |
what happens to reflected energy ?
On 14 jun, 02:13, Richard Clark wrote:
On Sun, 13 Jun 2010 14:08:59 -0700 (PDT), Wimpie wrote: This knowledge resulted in my statement: "an RF PA isn't a 50 Ohms source", what was/ is heavily disputed by you. Hi Wim, Your conclusion: "Under maximum power output matching given certain drive (not necessarily being the maximum drive), the output impedance equals the load resistor (the so-called "conjugated match condition")." It was not the only conclusion, but it certainly disputes what you say above. Given the easy access to real amplifiers available to Hams at their own bench, and further given that they do not present any more complexity than your own simulation; then I have to wonder why we have wandered into strange topologies. My findings are from practice before I had the opportunity to do PA simulations. I am not interested in trying to follow 23 pages of dense presentation where you could have simulated Walt's finals, validated or rejected his data, and THEN formed your own conclusions. *If this is a problem of simulation (you don't have that tube handy) what about topology? * 23 pages is not that much as graphs and circuit diagrams dominate. If you can provide me a circuit diagram I will figure out whether I can simulate it or not. It looks more like a link coupled tank circuit from pre-WWII days. The Tank Q looks to be non-existent. *When I rummage through the paper I find 4.4! *This is certainly beyond the standard for PA design - and we have swapped out of the tube into a mosfet (would you care to stick to one objective?). *Elsewhere (wandering back in tubes) I find a value of 10.3 (elsewhere it is 11) which inhabits the lowest margin of good design. *Then an itinerant report of a cathode tank (????) whose Q is 0.44. *Q appears to be of little concern. Fully agree with the low cathode Q, therefore it doesn't affect the simulations results significantly. Again, typical Ham equipment shows Q as low as 10 - maybe, and that would be for a dog; but those that I have seen typically fall around 15, sometimes 20. *As the Z transformation in plate/drain circuits varies by the square of Q, this is not inconsequential and it once again has me wondering why the strange topology? Tell me what Q I should use (evt, give me component values) in the simulation, and I will change it for you. No, your paper lacks focus by trying to be all things (tubes, mosfets, Class AB, Class C). * This is to support my statement that under real world amateur conditions many PAs do not obey ZL = Zout*. If I have some time I will add a push-pull transfomer coupled amplifier also. You examine the most inconsequential details as if they were equally important as those details that bear on your concern. *The paper lacks structure. *Headings are nothing more than feature descriptions, not argument development. *There is a lot of discussion of the idiosyncrasies of simulation - I am not interested and that discussion creates the impression of hidden errors. *Really, this stuff goes into an appendix not as the object of the narrative. The graphs are pretty diversions, but they don't add much. *In the software industry, this is spaghetti design. I would prefer a conventional topology. *I suppose that has come through clear. *Pick one significant point, re-edit this into 4 pages and then you might have something interesting. *This advice comes from one of our American writers, Mark Twain: * * * * "If I had more time, I would have written you a shorter letter." 73's Richard Clark, KB7QHC simulation is general practice in the design flow, I know it has limitations. Of course I could use ADS, but most people don't have that at home, so I decided to use spice as this is used by many. If you believe I am so wrong, why don't you present some simulations to show that my original statement is completely wrong? Best regards, Wim PA3DJS www.tetech.nl without abc, PM will reach me. |
what happens to reflected energy ?
On Mon, 14 Jun 2010 06:06:06 -0700 (PDT), Wimpie
wrote: 23 pages is not that much as graphs and circuit diagrams dominate. If you can provide me a circuit diagram I will figure out whether I can simulate it or not. Hi Wim, I'm glad you wish to examine this more. I will send you Mendenhall's 400W FM design done 42 years ago to this month and nearly day. I will also send a partial schematic for Walt's TS-830s. Mendenhall's is not very different from your own model except with a far more powerful VHF Tube, however, it is a tetrode design too. Walt's is a pair of pentodes. See what you can do. Fully agree with the low cathode Q, therefore it doesn't affect the simulations results significantly. Why a Common Grid design for a tetrode tube? Tell me what Q I should use (evt, give me component values) in the simulation, and I will change it for you. 15 is one that Terman cites, and Mendenhall cites Terman, and Walt's (if I recall correctly) also find a similar value. Given your especially low frequency simulation, component values are way out from those commonly encountered in HF/VHF work. No, your paper lacks focus by trying to be all things (tubes, mosfets, Class AB, Class C). * This is to support my statement that under real world amateur conditions many PAs do not obey ZL = Zout*. If I have some time I will add a push-pull transfomer coupled amplifier also. Then you should do the finals deck for a transistor rig for that topology. It would bring you into the 21st century (even if the details still date from the 1970s). You will also find more simulation options. simulation is general practice in the design flow, I know it has limitations. Of course I could use ADS, but most people don't have that at home, so I decided to use spice as this is used by many. One of the titans of linear design, Bob Pease of National Semiconductor had little sympathy for those who discovered the problems of simulation. However, those who read his work were sure to avoid pain and trauma. Consult: http://www.national.com/rap/ Having said that, it is somewhat ironic that we all use simulation for antennas - so we are all aware of limitation and possibility. I have used many simulators from a spectrum of disciplines. If you believe I am so wrong, why don't you present some simulations to show that my original statement is completely wrong? You have more time and passion for it. I have already had a career in testing these issues specifically and proof is at the bench. I was trained to demanding methods for this and I worked with the most accurate instruments in the world. However, I don't expect equal results. If you wish to work further with the two schematics I send you, then that would interest me far more than the banalities of photonic explanations and spreadsheet solutions. I am not saying anything you have done is wrong, I am saying that your style is getting in the way of communication. It reads like a detective novel, not a like presentation. You discover conclusions, you don't seem to test for expectations. Surprise and mystery arrive haphazardly through the narrative. Inconsequential details are mulled over like Holmes describing the characteristics of cigar ash to Watson. You are trying to do too many things in one place and the topic begins to blurs and the goal is distracted. For instance, this thread's subject line of "what happens to reflected energy?" is never summarized in your final conclusion - that is not good reportage. I went to that last section and saw that discussion missing. Closer examination revealed it by parts as seemingly trivial observations. For style, start with a good grounding. Establish a base line. Do a Monte Carlo analysis of a known design with known characteristics. Then introduce a hypothesis tied to one variable. Push the variable and note how it either conforms or strays from your hypothesis. Present your work. Have a discussion to shake out problems of understanding (from anyone). Then move on to either shift the topology, or further stress the existing design. Build on a solid foundation. Schematics will follow as soon as I can make their file sizes suitable for email servers (about 1-2 MB). 73's Richard Clark, KB7QHC |
what happens to reflected energy ?
On 14 jun, 20:00, Richard Clark wrote:
On Mon, 14 Jun 2010 06:06:06 -0700 (PDT), Wimpie wrote: 23 pages is not that much as graphs and circuit diagrams dominate. *If you can provide me a circuit diagram I will figure out whether I can simulate it or not. Hi Wim, I'm glad you wish to examine this more. * I will send you Mendenhall's 400W FM design done 42 years ago to this month and nearly day. *I will also send a partial schematic for Walt's TS-830s. Mendenhall's is not very different from your own model except with a far more powerful VHF Tube, however, it is a tetrode design too. Walt's is a pair of pentodes. *See what you can do. Fully agree with the low cathode Q, therefore it doesn't affect the simulations results significantly. Why a Common Grid design for a tetrode tube? Because I built such circuit myself based on two PL519 television tubes and to reduce the number of runs to tune the amplifier in simulation (I still need some time to work also). * Tell me what Q I should use (evt, give me component values) in the simulation, and I will change it for you. 15 is one that Terman cites, and Mendenhall cites Terman, and Walt's (if I recall correctly) also find a similar value. *Given your especially low frequency simulation, component values are way out from those commonly encountered in HF/VHF work. Over here 3.6 MHz is an amateur band, we may even go lower than that. I will change the real class C ciruit to Q = 15. Q = Rload/XL? No, your paper lacks focus by trying to be all things (tubes, mosfets, Class AB, Class C). This is to support my statement that under real world amateur conditions many PAs do not obey ZL = Zout*. If I have some time I will add a push-pull transfomer coupled amplifier also. Then you should do the finals deck for a transistor rig for that topology. *It would bring you into the 21st century (even if the details still date from the 1970s). *You will also find more simulation options. simulation is general practice in the design flow, I know it has limitations. Of course I could use ADS, but most people don't have that at home, so I decided to use spice as this is used by many. One of the titans of linear design, Bob Pease of National Semiconductor had little sympathy for those who discovered the problems of simulation. *However, those who read his work were sure to avoid pain and trauma. *Consult:http://www.national.com/rap/ Having said that, it is somewhat ironic that we all use simulation for antennas - so we are all aware of limitation and possibility. *I have used many simulators from a spectrum of disciplines. If you believe I am so wrong, why don't you present some simulations to show that my original statement is completely wrong? You have more time and passion for it. * I have very limited time for this, so we have to keep it very efficient. I have already had a career in testing these issues specifically and proof is at the bench. * I was trained to demanding methods for this and I worked with the most accurate instruments in the world. *However, I don't expect equal results. *If you wish to work further with the two schematics I send you, then that would interest me far more than the banalities of photonic explanations and spreadsheet solutions. I am not saying anything you have done is wrong, I am saying that your style is getting in the way of communication. *It reads like a detective novel, not a like presentation. *You discover conclusions, you don't seem to test for expectations. *Surprise and mystery arrive haphazardly through the narrative. *Inconsequential details are mulled over like Holmes describing the characteristics of cigar ash to Watson. * Except the high Z value for the Common Cathode amplifier, all results are as expected. Otherwise I did not make my statement on the output impedance of PAs. You are trying to do too many things in one place and the topic begins to blurs and the goal is distracted. *For instance, this thread's subject line of "what happens to reflected energy?" is never summarized in your final conclusion - that is not good reportage. *I went to that last section and saw that discussion missing. *Closer examination revealed it by parts as seemingly trivial observations. You disputed my statement on Zout and came up with the "what IS it" attitude, I only provided information so that other people can get their own opinion. I prefer to keep the focus on that. For style, start with a good grounding. *Establish a base line. *Do a Monte Carlo analysis of a known design with known characteristics. Then introduce a hypothesis tied to one variable. *Push the variable and note how it either conforms or strays from your hypothesis. Present your work. *Have a discussion to shake out problems of understanding (from anyone). *Then move on to either shift the topology, or further stress the existing design. *Build on a solid foundation. This is not a thesis, I just did some simulation to show that things can be different. Schematics will follow as soon as I can make their file sizes suitable for email servers (about 1-2 MB). 73's Richard Clark, KB7QHC Before I am going to spend lots into time this, some points: 1. Do you accept the "measuring" method with injecting a signal with slight frequency difference as mentioned in the document? 2. Do you accept the way of presentation (envelope change versus time and converted to output VSWR as used in the document)? 3. Do you accept B^2 spice A/D professional, version for as suitable platform? If we cannot agree on this, it is of no use to continue. I limit the simulation to low HF frequencies as based on a circuit diagram alone we cannot guess the parasitics for high HF/VHF use and this may be food for more discussion. Please also mention what components you want into the simulation as simulating a full TS830 will take to long. All relevant info will be made available to the group, inclusive original circuit diagrams and the diagrams I used for simulation. I hope that I can get a suitable simulation model for the tubes. Regarding circuit diagrams, can you reduce the color depth (gray scale or B/W) and convert them to PNG as this is non-lossy coding. I am looking forward to the results. Best regards, Wim PA3DJS www.tetech.nl |
what happens to reflected energy ?
On Jun 14, 12:09*pm, Keith Dysart wrote:
On Jun 10, 5:52 pm, K1TTT wrote: On Jun 9, 2:04 am, Keith Dysart wrote: Exactly. And yet, were you to attach a DC-couple directional wattmeter to the line, it would indicate 50W forward and 50W reflected (using your corrected numbers). now remember, this is AFTER you disconnected the load resistor. only as you monitored the initial transient. *once the transient has passed there is no power flowing in the line. I agree completely with the second sentence. But the first is in error. A directional wattmeter will indeed show 50W forward and 50W reflected on a line with constant DC voltage and 0 current. I’ll start by providing support for your second sentence and then get back to reflected power. no, it won't... as i will explain below. Choose an arbitrary point on the line and observe the voltage. The observed voltage will be a function of time. Let us call it V(t). At the same point on the line, observe the current and call it I(t). if you can choose an arbitrary point, i can choose an arbitrary time... call it a VERY long time after the load is disconnected. The energy flowing (i.e. power) at this point on the line will be P(t)=V(t)I(t). If the voltage is measured in volts and the current in amps, then the power will be in joules/s or watts. We can also compute the average energy flow (power) over some interval by integrating P(t) over the interval and dividing by the length of the interval. Call this Pavg. For repetitive signals it is convenient to use one period as the interval. Note that V(t) and I(t) are arbitrary functions. The analysis applies regardless of whether V(t) is DC, a sinusoid, a step, a pulse, etc.; any arbitrary function. To provide some examples, consider the following simple setup: 1) 50 ohm, Thevenin equivalent circuit provides 100 V in to an * *open circuit. this is the case we were discussing... the others are irrelevant at this point 2) The generator is connected to a length of 50 ohm ideal * *transmission line. We will stick with ideal lines for the * *moment, because, until ideal lines are understood, there * *is no hope of understanding more complex models. 3) The ideal line is terminated in a 50 ohm resistor. Set the generator to DC: * V(t)=50V, wherever it is measured on the line * I(t)=1A, wherever it is measured on the line * P(t)=50W, wherever it is measured on the line * Pavg=50W No disagreement, I hope. only if this is a case WITH a load... this is not what we were discussing above. Set the generator to generate a sinusoid: * V(t)=50sin(wt) * I(t)=1sin(wt) * P(t)=25+25sin(2wt) * Pavg=25W describes the observations at any point on the line. Measurements at different points will have a different phase relationship to each due to the delay in the line. Note carefully the power function. The power at any point on the line varies from 0 to 50W with a sinusoidal pattern at twice the frequency of the voltage sinusoid. The power is always positive; that is, energy is always flowing towards the load. Now let us remove the terminating resistor. The line is now open circuit. OK, now we are back to where i had objections above. Again, set the generator to DC. After one round trip time, the observations at any point on the line will be: * V(t)=100V * I(t)=0A * P(t)=0W * Pavg=0W ok, p(t)=0w, i=0a, i connect my directional wattmeter at some very long time after the load is disconnected so the transients can be ignored and i measure 0w forever. there is no power flowing in the line. The story for a sinusoid is more interesting... The observations now depend on the location on the line where the measurements are performed. At a current 0: * V(t)=100sin(Wt) * I(t)=0A * P(t)=0W * Pavg=0W At a voltage 0: * V(t)=0V * I(t)=2sin(wt) * P(t)=0W * Pavg=0W Halfway between the current 0 at the load and the preceding voltage 0 (that is, 45 degrees back from the load: * V(t)=70.7sin(wt) * I(t)=1.414cos(wt) * P(t)=50sin(2wt) * Pavg=0W This tells us that for the first quarter cycle of the voltage (V(t)), energy is flowing towards the load, with a peak of 50W, for the next quarter cycle, energy flows towards the source (peak –50W), and so on, for an average of 0, as expected. For a sinusoid, when the load is other than an open or a short, energy flows forward for a greater period than it flows backwards which results in a net transfer of energy towards the load. At the location of current or voltage minima on the line, energy flow is either 0 or flows towards the load. All of the above was described without reference to forward or reflected voltages, currents or power. It is the basic circuit theory description of what happens between two networks. It works for DC, 60 HZ, RF, sinusoids, steps, pulses, you name it. If there is any disagreement with the above, please do not read further until it is resolved. so you have derived voltages and currents at a couple of special locations where superposition causes maximum or minimum voltages or currents... this of course ONLY works after sinusoidal steady state has been achieved, so your cases of connecting and disconnecting the load must be thrown out. and how do you find a maximum or minimum when the load is matched to the line impedance? standing waves are always a trap... step back from the light and come back to the truth and learn how to properly account for forward and reflected waves with voltages or currents and all will be revealed. Now it is time to introduce forward and reflected waves to the discussion. Forward an reflected waves are simply a mathematical transformation of V(t) and I(t) to another representation which can make solving problems simpler. The transformation begins with assuming that there is a forward wave defined by Vf(t)=If(t)*Z0, a reflected wave defined by Vr(t)=Ir(t)*Z0 and that at any point on the line V(t)=Vf(t)+Vr(t) and I(t)=If(t)-Ir(t). Since we are considering an ideal line, Z0 simplifies to R0. Simple algebra yields: * Vf(t)=(V(t)+R0*I(t))/2 * Vr(t)=(V(t)-R0*I(t))/2 * If(t)=Vf(t)/R0 * Ir(t)=Vr(t)/R0 Now these algebraically transformed expressions have all the capabilities of the original so they work for DC, 60 HZ, RF, sinusoids, steps, pulses, you name it. hmmm, they work for all waveforms you say... even dc?? ok, open circuit load, z0=50, dc source of 100v with 50ohm thevenin resistance... If(t) = 100/50 = 2a Ir(t) = 100/50 = 2a so there is a reflected 2a current you say? where does that go when it gets back to the source? we know that when the 100v source is open circuited as it must be in this case that it develops 100v across its terminals... sure doesn't seem like any way that 2a can go back into the source. it can't be reflected since the source impedance matches the line impedance. so where does it go? maybe those simple algebraic expressions have to be reconsidered a bit. well, maybe i missed something... lets look at the voltages: Vf(t)=(100+50*2)/2 = 100 Vr(t)=(100-50*2)/2 = 0 hmm, you do seem to get the right constant voltage... but it kind of messes up your power flow since Vr=0 there can be no power in that reflected wave, so it really doesn't make it much of a wave. but wait, the equations must be consistent so Ir(t)=0/50 So there really is no reflected current... but there is forward current? so where does that forward current go if there is no load? it doesn't reflect back if Ir=0... does it just build up at the open end? going to be lots of trons sitting there after a while. Some people look at the expression If(t)=Vf(t)/R0 and think it looks a lot like a travelling wave so they decide to compute the energy being moved by this wave: * Pf(t)=Vf(t)*Vf(t)/R0 * Pr(t)=Vr(t)*Vr(t)/R0 So let us explore the results when applied to the DC examples from above. Terminated with 50 ohms: * Vf(t)=50V * If(t)=1A * Vr(t)=0V * Ir(t)=0A * Pf(t)=50W * Pr(t)=0W This all looks good, no reflected wave and the appropriate amount of energy is being transported in the forward wave. Let us try the open ended line: * Vf(t)=50V * If(t)=1A * Vr(t)=50V * Ir(t)=1A which yield * V(t)=Vf(t)+Vr(t)=100V * I(t)=If(t)-Ir(t)=0A which is in agreement with the observations. But there is definitely a forward voltage wave and a reflected voltage wave. Carrying on to compute powers: sorry, you can't have a 'voltage wave' without a 'current wave'... just doesn't work i'm afraid. to have one you must have the other. * Pf(t)=50W * Pr(t)=50W and * P(t)=Pf(t)-Pr(t)=0W So there you have it. The interpretation that the forward and reflected wave are real and transport energy leads to the conclusion that on a line charged to a constant DC voltage, energy is flowing in the forward direction and energy is flowing in the reflected direction. obviously incorrect, by reductio ad absurdum if i remember the latin correctly. Because it is obvious that there is no energy flowing on the line, this interpretation makes me quite uncomfortable. Now there are several ways out of this dilemma. Some say they are only interested in RF (and optics), and that nothing can be learned from DC, steps, pulses or other functions. They simply ignore the data and continue with their beliefs. Some claim that DC is special, but looking at the equations, there is no reason to expect the analysis to collapse with DC. The best choice is to give up on the interpretation that the forward and reflected voltage waves necessarily transport energy. Consider them to be a figment of the analysis technique; very convenient, but not necessarily representing anything real. As an added bonus, giving up on this interpretation will remove the need to search for “where the reflected power goes” and free the mind for investment in activities that might yield meaningful results. ...Keith |
what happens to reflected energy ?
On Mon, 14 Jun 2010 12:32:02 -0700 (PDT), Wimpie
wrote: Before I am going to spend lots into time this, some points: 1. Do you accept the "measuring" method with injecting a signal with slight frequency difference as mentioned in the document? Hi Wim, I got only a hint of what you were trying to do because it was buried in so much conflicting agendas. However, my first impression was that it looked worth discussing. My second impression was that it was not needed. Still, that is worth discussing too. 2. Do you accept the way of presentation (envelope change versus time and converted to output VSWR as used in the document)? I hadn't the slightest idea what that was all about. Like I said, too many things going on. From your email, it sounds like too much complexity to accomplish what was done with meter indications. For others, this might be found in the section called "Output Tuning" in: "Fine Tuning FM Final Stages," by Mendenhall (google for a link or email me for a copy). 3. Do you accept B^2 spice A/D professional, version for as suitable platform? I have no problem with what you are comfortable with. I am sure a suitable simulation will evolve. If we cannot agree on this, it is of no use to continue. I limit the simulation to low HF frequencies as based on a circuit diagram alone we cannot guess the parasitics for high HF/VHF use and this may be food for more discussion. Please also mention what components you want into the simulation as simulating a full TS830 will take to long. All relevant info will be made available to the group, inclusive original circuit diagrams and the diagrams I used for simulation. I hope that I can get a suitable simulation model for the tubes. Regarding circuit diagrams, can you reduce the color depth (gray scale or B/W) and convert them to PNG as this is non-lossy coding. I am looking forward to the results. We will resolve the details offline. I would encourage you to save effort (we both have things to do) by doing a "quick and dirty" first pass just to see how little we may have left to do (it could be that simple). There is more to read than there is to simulate. For others, the material I have linked Wim to probably tips the download scale at 50MB. 44 MB is one document alone that others here might find useful: "EIMAC Care and Feeding of Power Grid Tubes" 44MB at: http://www.g8wrb.org/data/Eimac/care...grid_tubes.pdf It will brush away the cobwebs. 73's Richard Clark, KB7QHC |
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