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#81
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Ian wrote -
I don't believe transmitter output impedance is fundamentally un-knowable... only that it is extremely difficult to measure in practice. All the measurement techniques I've heard of seem to be subject to either theoretical weaknesses or problems of practical accuracy. ==================================== You lot will drive me to despair. What's the problem? You have just designed the PA. You are familiar with its very simple internal circuitry. You have its component values, including the active ones. Hasn't it yet occurred to you engineering Ph.D's all you have to do is calculate it. Sewer kids in Rio have better arithmetical aptitudes. --- Reg |
#82
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"Dr. Slick" wrote in message om... "Tarmo Tammaru" wrote in message ... "Dr. Slick" wrote in message om... But they never explain WHY a lossy line can INCREASE the reflected power! The lossless line would not attenuate the reflected wave at all! I don't trust their claims on this. If you get more power reflected than you send into a passive network, you are getting energy from nowhere, and are thus violating conservation of energy. But the reflection coefficient is for Voltage. I think the clew lies in "The main point of interest lies in the fact that we cannot, in general, superpose the average powers carried by incident and reflected waves on a dissipative line, although we could do so on a lossless line" A/C/F . I don't see the problem. 100 /_30 degrees divided by 2/_5 degrees is 50/_15 degrees. Different phase angle. By general case they mean not the lossless case. I believe you mean 50 @ 25 degrees. Yeah, I started typing this line before I had decided what numbers to use. Also, they go from equation 5.12 to 5.13 without showing us how they got there. They use the identity e**jx = cos x + jsin x Yes? And? How did they get the Zo=(Zn-1)/(Zn+1) from this? I think the math is the same as for a lossless line As I said out front. The book is copyrighted 1960. There is a certain life to these things. Tam But it seems to be out of print, perhaps with good reason... Slick The "print file" for a book used to be stored on hundreds of tin or lead plates. Two N pages per plate. After printing some number of books, these plates would have been recycled. I don't know that there was not a newer edition. Tam/WB2TT |
#83
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Let's start all over on this.
1. You have a transmission line of Zo= 1 - j1 2. Zo* = 1 + j1 3 Short the end of the line 4. By the classic formula RC= (0 - (1 - j1))/(0 + (1 - j1)) = -(1 - j1)/(1 - j1) = -1 5. By Besser's formula RC = (0 - (1 + j1))/(0 + (1 - j1)) which is (-1 -j1)/(1 - j1) 6. The above is SQRT(2)/_-135 / SQRT(2) /_-45 = 1/_-90 7. Note that RC has angle -90, not 180. 8. Reflected voltage is now (V+) x (1/_-90). This is in quadrature with V+, not in opposition with. 9. This won't meet the boundary condition that ( V+) + (V-) = 0 10. You can use a different phase angle for Zo if you like, but the only Zo phase angle that will give you RC = 1/_180 is 0. Tam/WB2TT |
#84
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Dr. Slick wrote:
I meant, how did they derive Reflection Coefficient=(Zn-1)/Zn+1)? They certainly don't show us! This would be key to answering our questions. Not taking sides here, just hopefully contributing something. The s-parameters normalize voltages to the square root of Z0 such that the square of 'a1' is incident power normalized to Z0=1.0. The standard Smith Chart is normalized to Z0=1.0. Thus s-parameter quantities can be plotted directly on a standard Smith Chart. The above equation looks as if Z0=1.0 for normalization purposes. If 50 ohms is normalized to 1.0, then Zn is probably Z1 also normalized to 50 ohms, i.e. (Z1-Z0)/(Z1+Z0) = [(Z1/Z0)-(Z0/Z0)]/[(Z1/Z0)+(Z0/Z0)] = (Zn-1)/(Zn+1) = s11. The 'n' in Zn may mean Z1 "normalized". -- 73, Cecil http://www.qsl.net/w5dxp -----= Posted via Newsfeeds.Com, Uncensored Usenet News =----- http://www.newsfeeds.com - The #1 Newsgroup Service in the World! -----== Over 100,000 Newsgroups - 19 Different Servers! =----- |
#85
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Reg Edwards wrote:
Ian wrote - I don't believe transmitter output impedance is fundamentally un-knowable... only that it is extremely difficult to measure in practice. All the measurement techniques I've heard of seem to be subject to either theoretical weaknesses or problems of practical accuracy. ==================================== You lot will drive me to despair. What's the problem? You have just designed the PA. You are familiar with its very simple internal circuitry. You have its component values, including the active ones. Hasn't it yet occurred to you engineering Ph.D's all you have to do is calculate it. Sewer kids in Rio have better arithmetical aptitudes. Sorry, I don't have an engineering PhD... but if *you* think it's so simple, then lay your money down: show us. -- 73 from Ian G3SEK 'In Practice' columnist for RadCom (RSGB) Editor, 'The VHF/UHF DX Book' http://www.ifwtech.co.uk/g3sek |
#86
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Reg Edwards wrote:
Hasn't it yet occurred to you engineering Ph.D's all you have to do is calculate it. Of course, but can you prove that impedance is what is "seen" by the incident reflected waves? Dr. Bruene attempted it and AFAIAC, didn't succeed because his ping frequency was different from the operating frequency. -- 73, Cecil http://www.qsl.net/w5dxp -----= Posted via Newsfeeds.Com, Uncensored Usenet News =----- http://www.newsfeeds.com - The #1 Newsgroup Service in the World! -----== Over 100,000 Newsgroups - 19 Different Servers! =----- |
#87
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"Tarmo Tammaru" wrote in message ...
But they never explain WHY a lossy line can INCREASE the reflected power! The lossless line would not attenuate the reflected wave at all! I don't trust their claims on this. If you get more power reflected than you send into a passive network, you are getting energy from nowhere, and are thus violating conservation of energy. But the reflection coefficient is for Voltage. I think the clew lies in "The main point of interest lies in the fact that we cannot, in general, superpose the average powers carried by incident and reflected waves on a dissipative line, although we could do so on a lossless line" A/C/F But the square of the MAGNITUDE of the Voltage RC is the power RC. They never tell us why, and i don't think a lossy line will increase your chances of getting rho1. In fact, i don't believe this is possible with a passive network. Also, they go from equation 5.12 to 5.13 without showing us how they got there. They use the identity e**jx = cos x + jsin x Yes? And? How did they get the Zo=(Zn-1)/(Zn+1) from this? I think the math is the same as for a lossless line What is not understood is how one gets from: Voltage R. C.= (Vr/Vi)e**(2*y*z) where y=sqrt((R+j*omega*L)(G+j*omega*C)) and z= distance from load To: Voltage RC=(Z1-Z0)/(Z1+Z0) for purely real Zo or Voltage RC=(Z1-Z0*)/(Z1+Z0) And i have NO problems with the normalized formula, AS LONG AS Zo IS PURELY REAL. If Zo is complex, then Zo*/Zo is certainly NOT equal to one! I don't really trust this book too much, maybe that's why it is out of print. The "print file" for a book used to be stored on hundreds of tin or lead plates. Two N pages per plate. After printing some number of books, these plates would have been recycled. I don't know that there was not a newer edition. Tam/WB2TT A book can always be reprinted if there is a demand. Possibly no one bought the book because it's incorrect? Slick |
#88
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"Tarmo Tammaru" wrote
"Reg Edwards" wrote What's the problem? You have just designed the PA. You are familiar with its very simple internal circuitry. You have its component values, including the active ones. Hasn't it yet occurred to you engineering Ph.D's all you have to do is calculate it? [Source resistance]. Reg, I am *not* a PhD, but, I can tell you what the problem is. You don't know what the transistor's Norton equivalent collector (drain) resistance is at DC, let alone RF. It is generally not on data sheets. They will often specify an "output impedance". This is a convenience for people who *think* they are doing conjugate matching. The real component of this has absolutely nothing to do with a particular device, outside of second order effects caused by series lead inductances. Check out Motorola application notes AN282A, 721, and 1033. The following is a quote from AN1033: "The output impedance of a microwave power transistor is usually defined as the conjugate of the load impedance required to achieve the desired performance. A typical output equivalent circuit is shown in Fig1. { Shows current source in parallel with Cout and resistor labeled transformed load impedance. From these two nodes there are inductor Lc and Lcom going to the output terminals}. The capacitor Cout is nearly equal to the collector - base capacitance Cob specified for the selected transistor. Lc is the inductance of the bond wire used to bridge from the collector metallization area to the package output lead, and Lcom represents the inductive effects of the common element bond wire" "For correct operation of the transistor, the ultimate load impedance must be transformed to a real impedance across the current generator. This real impedance is determined by RL = (Vcc - VCEsat)^2/(2Pout) The load impedance presented to the package terminals will contain the real impedance at the current generator, transformed to a lower value by the low pass section formed by Cout and the parasitic inductances Lc and Lcom. Usually the reactive part of the load impedance is made inductive to tune out the residual capacitance of the device." One of the other ap notes mentioned collector resistance to the extent that it is "high". This kind of analysis is not limited to transistors. For kicks, I calculated the load for an 813 tube, and got the same value as a book I was reading, which used a roundabout method. The other ap note also made a point of the fact that if you were actually conjugate matched, the efficiency could never be more than 50%. ================================== Tam, The only problem is that caused by entirely unnecessary complications introduced by people being too clever. First design a single-ended, class-A, audio amplifier like a 6V6 beam-tetrode tube plus a transformer to drive an 8-ohm speaker. Then calculate the source resistance seen from the speaker looking back into the amplifier. To save time searching for manufacturers data, assume: DC plate supply is 250 volts. Peak signal at plate 200 volts. Internal plate resistance, from mnfr's curves, is 100 K-ohms. Audio power output = 5watts into 8-ohms load. Peak volts across load = 8.944 volts peak. Transformer turns ratio = 22.36 Then ask yourself "Is the source resistance of the amplifier in the same ball-park as the 8-ohm speaker ?" Is there anything like a conjugate match ? Which is what it's all about. For Class-B and Class-C conditions, just multiply internal plate resistance by a constant which depends on plate current operating angle. Curvature of tube characteristics can be taken into account for a higher order of accuracy. And all this was sorted out in the early 1920's. Modern Western radio engineers' education seems to have been sadly neglected. The next generation's primary education is taking place in the rat-ridden sewers of Rio and in the medicine-less, water-less and electricity-less ruins of Baghdad. Cecil, in the meantime I'm looking forward to the day when Texas vintages appear on the shelves of my local supermarket. ;o) --- Reg. |
#89
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Texas has a long, proud history of producing fine fermented beverages.
Perhaps you can find a sample in a specialty shop. Ask for Pearl or Lone Star beer. Roy Lewallen, W7EL Reg Edwards wrote: . . . Cecil, in the meantime I'm looking forward to the day when Texas vintages appear on the shelves of my local supermarket. ;o) |
#90
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Reg Edwards wrote:
Cecil, in the meantime I'm looking forward to the day when Texas vintages appear on the shelves of my local supermarket. ;o) Want me to have the Texas winery send you a bottle, Reg? -- 73, Cecil http://www.qsl.net/w5dxp -----= Posted via Newsfeeds.Com, Uncensored Usenet News =----- http://www.newsfeeds.com - The #1 Newsgroup Service in the World! -----== Over 100,000 Newsgroups - 19 Different Servers! =----- |
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