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#151
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On Sat, 04 Dec 2004 21:51:09 GMT, Richard Clark
wrote: On Sat, 04 Dec 2004 18:40:20 GMT, Richard Clark wrote: At 30 MHz, this 1.5pF capacitance represents a reactance of 3.5K Ohm. This rather sweeps aside your specification for the load and replaces it with 4700 -j3537 Ohms. Actually 1700 -j2258 Ohms As you can see, this is the reason why open stubs are avoided. "Knowing" the parasitic capacitance is problematic. The fringing effect at the end is difficult to manage whereas a short is much simpler to define and implement. 73's Richard Clark, KB7QHC Dear Richard, Each and every one of your concerns is deeply appreciated. I had seriously about measuring that 4700 ohm resistor by itself for just the reasons that you mention. The reason that I did not is quite simple. The Resistance dial on the General Radio Model 1606B RF Bridge only goes to 1000 ohms. C'est la Vie! I could have chosen a much lower resistance to start with, but then I would not have had the desired high SWR, which is critical to the experiment. You might well ask why I made the switch from a 1/4 wave open ended stub (at 10.6 Mhz) to the 30 MHz test using the same piece of line. That was to get a high SWR and still have reasonable confidence in the value without actually measuring it. Perhaps I should use a capacitor instead. That's still a possibility. I am thinking of doing it over with a measured 1 k resistor, and just accepting the SWR of only 20:1. I don't think I have any low ohm resistors that would give me something around 1 to 3 ohms and still be low inductance - not from my parts box. Actually, I doubt seriously that the capacitance effects are as bad as you are suggesting, but I won't argue that without some additional measurements. My reason for not going with a short circuit was even simpler. I wanted a concrete value for a non-zero load power. Regarding the artificial adjustment of the attenuation loss from around 0.9 up to about 1.72 did not bother me at the time that I did it, but I can see why it bothers an independant observer. I will have to do something about that, and perhaps doing it over with a 1 K resistor is the answer to all of that - so, here goes, and I will get back to you in a few hours. BTW - this is becoming more and more academic, since I think the real mystery has been resolved, but there's nothing like getting it wrapped up with a proper ribbon. Bob, W9DMK, Dahlgren, VA http://www.qsl.net/w9dmk |
#152
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#153
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Cecil Moore wrote:
Reg Edwards wrote: Instead of messing about calculating the additional loss due to SWR and then adding it to the matched loss, I've just had a wonderful idea. Why not calculate the actual line loss directly and solve all your problems at one fell swoop. What is the formula for the total dB loss? I don't know of one, but here's a procedure which will get you the answer: 1) Determine the transmission line characteristics R, G, L & C at the frequency of interest. 2) Determine the transmission line termination impedance (or admittance) at the frequency of interest. 3) For convenience, define the excitation at the input to the transmission line. e.g. defined voltage, current, or generator with defined source impedance. 4) Solve the transmission line equation for both the voltage and current, as a function of time and position, subject to the imposed boundary conditions. Use any method you wish, though the usual approach is the so called method of reflections where the complete solution is taken as the summation of damped forward and reverse traveling waves. Calculation of Zo and Gamma require knowledge of R,G,L & C. The solution can be expressed algebraically in terms of hyperbolic functions and will be found in any good transmission line reference. Now known are v(x,t) and i(x,t). 5) Separately calculate the dissipative losses due to series resistance and shunt conductance (or dielectric power factor) as follows: a) The loss due to series resistance at any instant in time for some section of transmission line, is i(x,t)^2 * R * dx, integrated over the subject transmission line section. b) The loss due to shunt conductance at any instant in time for some section of transmission line, is v(x,t)^2 * G * dx, integrated over the subject transmission line section. c) The total dissipative power loss is the the sum of the time averaged series and shunt loss components, integrated over the entire transmission line length. Consider: The SWR (reflection coefficient at the termination) alone is not sufficient to determine the loss in general. This is an important concept to understand. For illustration, assume the limiting case where the shunt conductance can be disregarded. This is a useful approximation for many transmission line installations used at HF where the SWR is reasonably low (50). In such practical cases the losses will be dominated by series resistance. Consider a short (45 electrical degrees) transmission line terminated in a pure resistance which is much less than Ro. The standing wave pattern will be such that the current will be maximum, and the voltage minimum, at the termination. The losses can be calculated using the procedure given above. Now consider the same transmission line terminated in a pure resistance larger than Ro such that the SWR is the same as previously. The current will now be minimum at the termination and the total dissipative loss will be considerably less than when the termination resistance is low, even though the SWR is identical. Transmission line losses depend on both the actual load impedance and the transmission line parameters. Knowing matched attenuation (dB/length) and load SWR is not sufficient to calculate losses exactly. Any formulas using only SWR and matched transmission line loss are approximations and must be used carefully! Feeding electrically short antennas with 50 ohm coax as is commonly attempted by amateurs on 80 & 160m can result in transmission line losses much larger than predicted using the simple approximations given in the amateur literature. bart wb6hqk |
#154
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You are all floundering about like fish out of water. The ONLY way to predict the performance of a small resistor at UHF is to treat it as a transmission line - starting with the simple dimensions of length and diameter. L, C and R, and short-circuit input resistance versus frequency automatically drop into your laps with adequate ball-park accuracy. As so-called engineers, if you can't measure it, such obvious arithmetical techniques should already have been included in your elementary analytical educations. Spice (of which I have heard about only by reputation on newsgroups) is useless unless one already knows what it's all about beforehand. My criticism is not personal - only of the western world's educational systems and insistent dependence on weapons of mass-destruction. ---- Reg. |
#155
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Cecil Moore wrote:
Reg Edwards wrote: Cecil, when there are several different power levels at different places in a circuit, it is entirely up to you how you reference one to another in dB. Now Reg, that just cannot be true. It is true. Otherwise, there would exist no conventions. Multiple conventions exist in all the technical disciplines. A well versed practioneer is familiar with the various conventions commonly in use and will choose the one most appropriate to the problem at hand. General terms such as 'gain' and 'loss' always require the context be carefully established before the term can be used with any precision. For example, dissipative loss in a transmission line is different from transducer loss, but both are often expressed in decibels. One relates to an actual ratio of two physically meaningful power levels, and the other is notional. It's a simple question: When you tell me that the losses in a transmission line with reflections are 2 dB, exactly what power are you referencing those losses against? Reasonable question. Without knowing the context the statement is essentially meaningless. Reflected volts - yes! Reflected current - yes! Reflected power - NO! Reflected volts and reflected current existing without any associated joules/sec???? Reg didn't say any such thing. The wave equation is usually expressed in terms related to the two complementary field quantities associated with energy storage. In the case of TEM transmission lines, the two variables are voltage, and current. The method of reflections (images) used to facilitate solution of the wave equation, utilizes the concept of voltage and current reflection coefficient respectively. These concepts are used to find the v(x,t) and i(x,t) without any reference to to power or energy. Once v(x,t) and i(x,t) are known, the power, v(x,t) * i(x,t) can easily be calculated at any point x and time t. The energy storage density can be calculated as i(x,t)^2 * L/2 + v(x,t)^2 * C/2. As you might expect, the v(x,t)*i(x,t) is the derivative of the energy storage density. I've heard of waves without any trace of energy before, Reg, but I certainly didn't expect to hear miracle metaphysics from you. 'Solving' the wave equation for TEM transmission lines usually means determining the values of the v(x,t) and i(x,t) as a function of place and time. Energy distribution, and it's movement, is easily calculated from the knowledge of v(x,t) and i(x,t). Whatever happened to V*I*cos(theta) being power? Hasn't changed; works for DC out to upper microwave frequencies. The power companies would be surprised to learn that they are not transferring any joules/sec to their customers. Indeed they would. Who do you know who believes they are not transferring energy to their customers? bart wb6hqk |
#156
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#157
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On Sun, 5 Dec 2004 17:30:23 +0000 (UTC), "Reg Edwards"
wrote: You are all floundering about like fish out of water. .... My criticism is not personal Of course not Reggie, But neither is it original, and if you had been following the technical correspondence instead of the fluff offerings, you would have observed neither of us is in danger of falling prey to all the ills you offer cautions against. Preach to those who need redemption and confine your comments along our technical interchanges to coin in kind. 73's Richard Clark, KB7QHC |
#158
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Bart Rowlett wrote:
A well versed practioneer is familiar with the various conventions commonly in use and will choose the one most appropriate to the problem at hand. My point exactly, Bart. It is not up to me to define a new standard. Indeed they would. Who do you know who believes they are not transferring energy to their customers? There are people who believe that energy being transferred past a point in the transmission line is not power. However, the IEEE dictionary says that power is the rate of generation, transfer, or consumption of energy. -- 73, Cecil http://www.qsl.net/w5dxp |
#159
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Bart, I don't doubt that your description of how to calculate line loss is correct. But it's more simple than that. The input and output currents (or voltages) of any line are very rigid and well defined. Regardless of generator internal impedance. Just as a transformer's input and output currents and voltages are defined. Their ratio is even more simply defined, albeit in complex terms. So when the line input RESISTANCE, regardless of input reactance, and the terminating RESISTANCE, regardless of termiating reactance, are known then the power input to power output ratio is easily directly calculated from I squared R. The hardest but still straightforward part of the calculation is for the input impedance, Rin+jXin, for given line attenuation and phase shift, and for given terminating impedance, Rt+jXt. The power dissipated in the line, although distributed in a highly complex manner along its length due to standing waves, is very simply Pin - Pout. Throughout the calculations, things like reflection coefficients and SWR do not appear, You cant use them as spin-off benefits. What practical use could you make of them anyway? The calculations have already been done, finished, ended, caput! ---- Reg. |
#160
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Preach to those who need redemption
and confine your comments along our technical interchanges to coin in kind. 73's Richard Clark, KB7QHC ============================== I am preaching to anybody who needs redemption. It is YOU who are taking it personally despite me explicitly letting you off the hook. But Rich, it's very unlike you to take cover in "off topic". ;o) --- Reg. |
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