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Richard Clark March 2nd 05 08:46 AM

Hi OM,

This goes into the intricacies of how forced propositions do not yield
a forceful argument.

On Tue, 01 Mar 2005 18:06:18 GMT, gwhite wrote:

You don't know the output impedance because you
don't have a way of determining it by swinging the output full-scale.


This is more properly an admission from you, than a projected
inability upon us. You may not know how, but this does not prevent me
from expressing a value that is suitably accurate.

Now, within the field of measurement, no statement is accurate without
an expression of its range of error. However, in this regard accuracy
is still a remote issue as you offer nothing of practical
consideration and have failed to respond to a simple example to
provide context.

Richard Harrison, , KB5WZI, has in this sense already done the heavy
lifting with:
From the specifications page also, the power reguirement is TX: 18A
13.8V DC. It`s a linear amplifier. Only 40% efficiency. The designer
probably was more interested in low harmonics than efficiency. The final
by itself only takes part of the 18A ao its efficiency is more than 40%.


continuing....

Even for class A, large signals will/can have rail to rail swing.


This marks an artificial imposition not required to respond to the
spirit of the topic. Such swings are not necessary.

The device will not be
linear for large swings: sinusoidal input swing will not result in a sinusoidal
output swing.


This is immaterial to impedance and is a set-up of another artificial
imposition: the Thevenin Model (which was specifically dismissed).
Hence we are into a cascade of impositions.

But "impedance" is a sinusoidal (s-domain) concept.


This is baloney cut thick. S Domains (?) are at best a modern
contrivance to model well behaved small signal devices. Their utility
follow theory, they do not drive theory.

So how can
you define an impedance--a sinusoidal concept--when the waveform is not
sinusoidal for an inputted sine wave?


There are no sine waves in nature, so by this contortion of logic from
above there are no s-domains (?). Why are there no sine waves in
nature? Because nature is bounded by the Big Bang (a discontinuity)
at one end, and has yet to fulfill its infinite extent.

In other words, tedious appeals to artificial impositions of purity
fail at the gate for their sheer collapse of internal logic. This
kind of stuff appeals to arm-chair theorists who find themselves
impotent to perform.

The point is that the output impedance is
time dependent ("causes" the non-sinusoid output for sinusoid drive), which
rather makes the concept questionable. As I wrote earlier, one might decide to
consider a time averaged impedance, but I'm not clear on what the utility would
be.


Classic performance anxiety. Engineers learn to live with limitation
and to express results and sources of error so that others can judge
merit. Priests are better suited with mulling over these issues of
ambiguity.

There is no "presumption." Linear parameters and theorems totally ignore
practical limitations--this is a fact and you can look it up in just about any
text on circuit analysis.


Knowledge limited. There are many suitable texts that offer a wider
spectrum of discussion that are fully capable of answering these
issues. However, it is made worse that most of this stuff is
derivable from first principles and no recourse to vaster libraries is
actually needed.

The simple linear model is perfectly okay for small
signal devices. It isn't okay for large signal devices.


And yet there is no substantive illustration to prove this ambiguous
point. What constitutes small, and what demarcates large? Such
nebulous thinking clouds the obvious observation that the full range
of devices themselves operate on only one principle. What is limited
is the human component of their perception, not the physical reality
of their operation. The faulty choice of models (S Parameters) is not
the fault of either Physics or the devices when they diverge from the
crutch of calculation against the wrong mathematical expression.

In any case, load pull
equipment does not make the pretense of defining output impedance of an active
large signal device. It does say what the load needs to be to acquire maximum
power out of the device.


This is simply the statement from a lack of experience.

Thevenins and conjugate matching (for maximum power transfer) are
explicitly linear small signal device models. Their use in RF PA output design
is a misapplication.


These statements are drawn from thin air.

So to return to a common question that seems to defy 2 out of 3
analysis (and many demurred along the way) - A simple test of a
practical situation with a practical Amateur grade transistor model
100W transmitter commonly available for more than 20-30 years now:
1. Presuming CW mode into a "matched load" (any definition will do);


Any definition won't do, and for this discussion the specific "won't do" is
using conjugate matching which is a small signal (linear) model.


Given the failure to provide any discussion for either or any form of
matching suggests a lack fluency in any of them.

*You* brought up Thevenins and armchair philosophy regarding it, not me.


I rejected it as an unnecessary filigree, but I notice in the quotes
above that you readily embraced it as a necessary imposition.

I said
Thevenins was irrelevent, and now you appear to agree with me. Ken effectively
brought up conjugate matching, not me.


This compounded with the denial of Thevenin is quickly closing the
available matching mechanisms. If it is not about Thevenin, and it is
not about Conjugation, then I am willing to wait to hear what it IS
about.

....But not really. I have little faith that the difference is
appreciated nor how many ways a match may be accomplished or for what
ends.

The original comment I was challenging
was:

"...the antenna works as an impedance mathcing network that matches the output
stages impedance to the radiation resistance."


I am always suspicious of how a quoted claim is couched by the
rebutter (cut and paste from the original is always available and
citing the link to the complete contextual post is hardly Herculean).
However, responding to the bald statement, I find nothing
objectionable about it.

I simply wanted to make it clear that the "matching" done was not an issue of
"output impedance" per se. It is an issue of how the transistor is to be loaded
to extract maximum ouput power.


Again, a presumption not brought to the table. It may follow as a
consequence, but it is not a necessary condition.

Our questioner who started this thread is undoubtedly interested in
the outcome in terms of maximum radiation for a limited power - it is
a chain of causality that is a forced step matching issue from the
battery to the æther. This is a first principle of successful
production engineering.

73's
Richard Clark, KB7QHC

Cecil Moore March 2nd 05 01:42 PM

Asimov wrote:
In fact the power difference is
always zero, so there is no reason for the device to cool.


Here's the reason the device cools under load.

Plate loss = Eb*Ib - Ip^2*RL

With no signal, the plate loss is Eb*Ib. When
the signal is increased from zero, any power
delivered to the load is subtracted from Eb*Ib,
thus causing the device to cool.
--
73, Cecil http://www.qsl.net/w5dxp


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Cecil Moore March 2nd 05 01:48 PM

Richard Clark wrote:
There are no sine waves in nature, so by this contortion of logic from
above there are no s-domains (?). Why are there no sine waves in
nature? Because nature is bounded by the Big Bang (a discontinuity)
at one end, and has yet to fulfill its infinite extent.


One would think that a 12 billion year windowing
would be close enough. :-)
--
73, Cecil http://www.qsl.net/w5dxp


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Cecil Moore March 2nd 05 01:55 PM

Asimov wrote:
harmonic generation...


Why do the instructions on my stereo amp warn against
running the amp with no speakers attached?
--
73, Cecil http://www.qsl.net/w5dxp


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John Woodgate March 2nd 05 02:06 PM

I read in sci.electronics.design that Cecil Moore
wrote (in ) about '1/4 vs 1/2 wavelength
antenna', on Wed, 2 Mar 2005:
Richard Clark wrote:
There are no sine waves in nature, so by this contortion of logic from
above there are no s-domains (?). Why are there no sine waves in
nature? Because nature is bounded by the Big Bang (a discontinuity)
at one end, and has yet to fulfill its infinite extent.


One would think that a 12 billion year windowing
would be close enough. :-)


Not only that, but since by definition the Universe started at T=0, any
'sine wave' that starts at a positive zero-crossing is at any later time
indistinguishable from a real one that started at T=0.
--
Regards, John Woodgate, OOO - Own Opinions Only.
The good news is that nothing is compulsory.
The bad news is that everything is prohibited.
http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk

Richard Harrison March 2nd 05 04:35 PM

Asimov wrote:
"Let`s look at it from the dynamic point of view (loss in a Class A
amplifier)."

The no-signal loss of a Class A amplifier is 100%. It equals volts x
amps and appears in the amplifier. Now feed a signal to the ideal
amplifier set just below the clipping level. Average d-c power is
unchanged from the unloaded and no-signal conditions.

Connect a matched load resistor to the amplifier output. If physically
small, the resistor may become warm with heat that were it not for the
load would be otherwise dissipated in the amplifier. Input power to the
Class A amplifier is unchanging.

Finding the internal resistance theoretically is simple. It is simply
the open-circuit output voltage divided by the short-circuit current.

Open-circuit voltage at full output and short-circuit current may be
severe. Internal resistance can be found under less stressful
conditions. Internal resistance will drop the voltage to any load
reasistance. Use the voltage-divider formula to calculate the internal
resistance.

With pure resistances, half the open-circuit volts are dropped by the
internal resistance when the load is a match.

A power amplifier`s internal impedance can be determined.

Power output from a Class A amplifier cools it.

Best regards, Richard Harrison, KB5WZI


Asimov March 2nd 05 05:56 PM

"Cecil Moore" bravely wrote to "All" (02 Mar 05 07:55:04)
--- on the heady topic of " Say what you mean."

CM From: Cecil Moore
CM Xref: aeinews rec.radio.amateur.antenna:26244

CM Asimov wrote:
harmonic generation...


CM Why do the instructions on my stereo amp warn against
CM running the amp with no speakers attached?

Because then the screen tries to carry the plate signal, the reactance
in the output transformer is not damped, and because a tube is
sensitive to voltage, this quickly leads to a molten hole in the side?
Watts to plasma.

A*s*i*m*o*v



gwhite March 2nd 05 06:26 PM

Ken Smith wrote:


The strongest argument for dropping the impedance matching concept is PA
efficiency, and therefore maximum signal swing. Obtaining maximum swing is a
load line issue.


What do you mean by "maximum signal swing" in this context. I can get a
bigger swing by leaving the output completely unloaded and hence causing
the actual efficiency to be zero.


LOL. Sure, the purpose of a power amp is to actually extract power. This is a
good start.

Perhaps a simplistic (and of course idealized) class A example would help. And
I want to remind that this is a simplification of the first order design cut.

The first assumption/idealization for the class A example would be to demarcate
between strong and weak non-linearity. This demarcation is basically the
boundary of clipping, both positive and negative. That is, we want our class A
amp to swing to the rails but not go beyond. In our class A design we will
accept weak non-linearity but not strong non-linearity.

Lets say we have selected a class A device/amplifier for which we can statically
dissipate 10W. The drain DC circuit is simply an RF choke (see, it is a simple
example!). Let's say the quiescent values are a 10 V supply and 1 A of current
(10 W). The question is: how do we load the device to extract maximum power
given the "no clipping" (strong non-linearity) constraint?

Say we load it with 20 ohms, what happens? The max positive swing before
clipping is Id*rL = 1*20 = 20 V. The max negative swing is, of course, Vd = 10
V. Since the 10 V is the lesser of the two swings, our non-clipping design
constraint limits us to 20 Vp-p. So we can deliver (Vp)^2/(2*rL) =
(10)^2/(2*20) = 2.5 W.

Say we load it with 5 ohms, what happens? The max positive swing before
clipping is Id*rL = 1*5 = 5 V. The max negative swing is, of course, Vd = 10
V. Since the 5 V is the lesser of the two swings, our non-clipping design
constraint limits us to 10 Vp-p. So we can deliver (Vp)^2/(2*rL) = (5)^2/(2*5)
= 2.5 W.

Say we load it with 10 ohms, what happens? The max positive swing before
clipping is Id*rL = 1*10 = 10 V. The max negative swing is, of course, Vd = 10
V. Since they are equal, we get 20 V of p-p swing. So we can deliver
(Vp)^2/(2*rL) = (10)^2/(2*10) = 5 W.

Our circuit loaded with 10 ohms delivers twice as much power as with the lesser
5 ohms or greater 20 ohms. That is, extracted output power is peaking at some
finite non-zero value. This is also easily seen to be most efficient point for
this simplistic example.

In no way was the ouput-Z of the amplifier considered in deciding how to load it
for the purpose of extracting maximum power from the circuit. The output-R is
completely irrelevent.

This example is intended to be illustrative rather than exact.

The reactive component issue is still there too. Reactive loads cause
increased currents in the output stage without delivering any power to the
load so they still need to be reduced as much as practical.


Yes, I already noted that for that portion of the impedance, it should be tuned
out *as best* possible.

"...(to be fair, the time-averaged reactive output component is tuned out as
best possible)."

gwhite March 2nd 05 07:06 PM

Richard Clark wrote:

On Tue, 01 Mar 2005 18:06:18 GMT, gwhite wrote:

It is about DC to RF efficiency,


Put a number to it.

as I've been pointing out since my
first post, and which you initially commented was "nonsense"


Hi OM,

And so it remains with additional elaborations not quoted here.

but now seem to agree with.


Seeming is a rather insubstantial thing to hang your theories on.


Well they are apparently your's too! Your own example of testing your own PA
said absolutely zip about output-Z. The most you could say is how the circuit
is loaded and its RF/DC efficiency. You're agreeing with me and can't even seem
to recognize it.

"Impedance matching" meant in the normal sense of conjugate
matching for maximum transfer of power


And this reveals the error of "Seeming" because the so-called meaning
you ascribe is this same nonsense.


Here's the original quote [Ken]:

"When the correct matching is done, the antenna works as an impedance mathcing
network that matches the output stages impedance to the radiation resistance."

He brought up "matching to the output impedance" (of the device), not me. There
is no "misinterpretation of meaning" when it comes to making statements about
matching output impedance to a load impedance. The meaning is well-understood
and precise. It means conjugate matching for maximum power transfer, and this
is explicitly sourced from small signal theory. Small signal theory is
oblivious to practical factors like supply rails and efficiency. These
practical factors are paramount in PA design. Thus to apply a theory that
ignores paramount factors is to beg a design which will likely be non-optimal.

Pay more attention to reading
instead of writing.


I'm paying attention, you agree with me but don't have the background to
understand it.

It has been pointed out more than once, and by
several, that Matching comes under many headings. The most frequent
violation is the mixing of concepts and specifications (your text is
littered with such clashes).


No, you still don't get it. I don't have a problem with saying it is
"matched." For example, I said a PA needs to be "load-line matched." This has
a specific meaning, and that meaning explicitly isn't "impedanced matched,"
which means something else. If you don't bother to know what the words mean, I
might as well speak Swahili.

is a misapplied small signal
concept/model. I think that is all I've really been saying.


And I preserved this clash quoted above as an example. If there is
any misapplication, you brought it to the table with this forced
presumption.


There is no forced presumption. The words have explicit definitions. If you
don't know the language, you have no way of communicating.

The misapplication of S parameters to a large signal
amplifier is one thing, to project this error backwards into the
fictive theory that there is some difference between large and small
signal BEHAVIOR (not modeling) is tailoring the argument to suit a
poorly framed thesis.


The models come from behavior and/or device physics, and were developed for the
express purpose of efficient design methodology. Small signal models can (and
do) conveniently ignore large signal concerns such as efficiency and supply
rails, because such concerns are irrelevent in the small signal milieu. To
apply a model to a milieu for which the model is not suited begs a non-optimal
design. The output-impedance concept itself is quite dubious for large signal
amplifiers.

None of your dissertation reveals any practical substantiation, hence
it falls into the realm of armchair theory. We get plenty of that
embroidered with photonic wave theory that is far more amusing.


You are off track.

John Woodgate March 2nd 05 07:45 PM

I read in sci.electronics.design that gwhite wrote
(in ) about '1/4 vs 1/2 wavelength
antenna', on Wed, 2 Mar 2005:

I might as well speak Swahili.



Good idea! Furahini mkaimbe. The wrangling is getting tiresome.
--
Regards, John Woodgate, OOO - Own Opinions Only.
The good news is that nothing is compulsory.
The bad news is that everything is prohibited.
http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk

Richard Clark March 2nd 05 08:02 PM

On Wed, 02 Mar 2005 19:06:32 GMT, gwhite wrote:
but now seem to agree with.

Seeming is a rather insubstantial thing to hang your theories on.

Well they are apparently your's too!


Hi OM,

From seeming to appearances - leaps of faith are better suited for
debate at the Vatican.

The remainder, unquoted due to repetition of the same basic errors,
has already been commented upon in another posting. Oh, except the
more entertaining jousts:
Pay more attention to reading instead of writing.

I'm paying attention, you agree with me but don't have the background to
understand it.


Mmm-hmm :-)

To be so eagerly embraced as a fellow fool! Something of the chess
equivalent of the sacrificial queen gambit.

73's
Richard Clark, KB7QHC

gwhite March 2nd 05 08:30 PM

Richard Clark wrote:

Hi OM,

This goes into the intricacies of how forced propositions do not yield
a forceful argument.


LOL.

On Tue, 01 Mar 2005 18:06:18 GMT, gwhite wrote:

You don't know the output impedance because you
don't have a way of determining it by swinging the output full-scale.


This is more properly an admission from you, than a projected
inability upon us. You may not know how, but this does not prevent me
from expressing a value that is suitably accurate.

Now, within the field of measurement, no statement is accurate without
an expression of its range of error. However, in this regard accuracy
is still a remote issue as you offer nothing of practical
consideration and have failed to respond to a simple example to
provide context.


Sheesh!

Richard Harrison, , KB5WZI, has in this sense already done the heavy
lifting with:
From the specifications page also, the power reguirement is TX: 18A
13.8V DC. It`s a linear amplifier. Only 40% efficiency. The designer
probably was more interested in low harmonics than efficiency. The final
by itself only takes part of the 18A ao its efficiency is more than 40%.


Efficiency seems to be important enough to mention.

continuing....

Even for class A, large signals will/can have rail to rail swing.


This marks an artificial imposition not required to respond to the
spirit of the topic. Such swings are not necessary.


No one said they "are necessary." But not driving "as hard as possible" simply
means you are wasting power and paying for a bigger device than you need to.

The device will not be
linear for large swings: sinusoidal input swing will not result in a sinusoidal
output swing.


This is immaterial to impedance,...


Oh? The definition of impedance is:

Z = V/I

V and I are sinusoid (phasors), *by definition*. It is as if you don't know the
definition of impedance.

and is a set-up of another artificial
imposition: the Thevenin Model (which was specifically dismissed).
Hence we are into a cascade of impositions.

But "impedance" is a sinusoidal (s-domain) concept.


This is baloney cut thick. S Domains (?) are at best a modern
contrivance to model well behaved small signal devices.


S-domain *is* linear circuit theory.

Their utility
follow theory, they do not drive theory.


It *is* linear circuit theory. The theory was developed for its utility.

http://www.amazon.com/exec/obidos/tg.../-/0801869099/

So how can
you define an impedance--a sinusoidal concept--when the waveform is not
sinusoidal for an inputted sine wave?


There are no sine waves in nature, so by this contortion of logic from
above there are no s-domains (?).


What are you talking about? No circuit is perfectly linear, and no one I knows
claims such. That does not invalidate linear theory, nor denigrate its utility
properly applied. Many circuits are "sufficiently linear," and "care" little
about supply rails and efficiency.

Why are there no sine waves in
nature? Because nature is bounded by the Big Bang (a discontinuity)
at one end, and has yet to fulfill its infinite extent.


I'm not religious, but you beg me.

Ohmigod!

In other words, tedious appeals to artificial impositions of purity
fail at the gate for their sheer collapse of internal logic. This
kind of stuff appeals to arm-chair theorists who find themselves
impotent to perform.


Suit yourself. Go ahead and apply theory to that for which it was not designed
to handle. In fact, you don't do it -- your own example about testing your PA
stated absolutely nothing about linear theory, or output impedance of the
device. I use (apply) linear theory a good share of the time. That doesn't
mean I don't recognize its limitations as a theory (a model).

The point is that the output impedance is
time dependent ("causes" the non-sinusoid output for sinusoid drive), which
rather makes the concept questionable. As I wrote earlier, one might decide to
consider a time averaged impedance, but I'm not clear on what the utility would
be.


Classic performance anxiety. Engineers learn to live with limitation
and to express results and sources of error so that others can judge
merit. Priests are better suited with mulling over these issues of
ambiguity.


Wow. More importantly, engineers select appropriate models for the design
task. They don't bother with ones that have no application to the task at hand.

There is no "presumption." Linear parameters and theorems totally ignore
practical limitations--this is a fact and you can look it up in just about any
text on circuit analysis.


Knowledge limited. There are many suitable texts that offer a wider
spectrum of discussion that are fully capable of answering these
issues.


Yeah, like for example:

http://www.amazon.com/exec/obidos/tg.../-/0890069891/

However, it is made worse that most of this stuff is
derivable from first principles and no recourse to vaster libraries is
actually needed.


Yes, load line matching is certainly a first principle.

The simple linear model is perfectly okay for small
signal devices. It isn't okay for large signal devices.


And yet there is no substantive illustration to prove this ambiguous
point. What constitutes small, and what demarcates large?


Maybe you didn't read those first principles quite closely enough. Nor have you
read this thread well. Large signal amplifiers -- i.e. power amplifiers --
"care" about DC to RF efficiency and supply rails. Small signal amplifiers
don't "care" about that.

Such nebulous thinking clouds the
obvious observation that the full range
of devices themselves operate on only one principle.


Quite afraid to ask, but being brave, I ask: what "one principle" is it "that
the full range of devices themselves operate" upon?

What is limited
is the human component of their perception, not the physical reality
of their operation.


And you critiqued me for nonsense.

The faulty choice of models (S Parameters) is not
the fault of either Physics or the devices when they diverge from the
crutch of calculation against the wrong mathematical expression.


And no one said so.

In any case, load pull
equipment does not make the pretense of defining output impedance of an active
large signal device. It does say what the load needs to be to acquire maximum
power out of the device.


This is simply the statement from a lack of experience.


No, it is a fact of the matter. You don't know what the equipment does.

Thevenins and conjugate matching (for maximum power transfer) are
explicitly linear small signal device models. Their use in RF PA output design
is a misapplication.


These statements are drawn from thin air.


No, for PA design, the thevenin impedance of the output source never enters "the
equation." Thus pretending that it "is there" is an unfounded assertion. You
asserted thevenins to PA design, now prove it. You can't.

So to return to a common question that seems to defy 2 out of 3
analysis (and many demurred along the way) - A simple test of a
practical situation with a practical Amateur grade transistor model
100W transmitter commonly available for more than 20-30 years now:
1. Presuming CW mode into a "matched load" (any definition will do);


Any definition won't do, and for this discussion the specific "won't do" is
using conjugate matching which is a small signal (linear) model.


Given the failure to provide any discussion for either or any form of
matching suggests a lack fluency in any of them.


What utter ignorance of what has actually been written. In my very first post I
described the first order cut of matching technique.

*You* brought up Thevenins and armchair philosophy regarding it, not me.


I rejected it as an unnecessary filigree,...


Exactly. It is not necessary. But you brought it up, and Ken implied a simile
with "impedance matching." You might wonder why it is not necessary. You might
even ask the question wondering if the reason it never shows up is because it
would be a misapplication of the concept.

... but I notice in the quotes
above that you readily embraced it as a necessary imposition.

I said
Thevenins was irrelevent, and now you appear to agree with me. Ken effectively
brought up conjugate matching, not me.


This compounded with the denial of Thevenin is quickly closing the
available matching mechanisms. If it is not about Thevenin, and it is
not about Conjugation, then I am willing to wait to hear what it IS
about.


Ah, at last a relevent question/statement. See my first post in this thread.

...But not really. I have little faith that the difference is
appreciated,...


You don't appreciate it because you don't understand it. That's not my problem.

nor how many ways a match may be accomplished or for what
ends.


If you don't know what the end is for an RF PA, how could you hope to scratch a
meaningful and optimal solution?

The original comment I was challenging
was:

"...the antenna works as an impedance mathcing network that matches the output
stages impedance to the radiation resistance."


I am always suspicious of how a quoted claim is couched by the
rebutter (cut and paste from the original is always available and
citing the link to the complete contextual post is hardly Herculean).


LOL. I guess you don't appreciate convenience.

However, responding to the bald statement, I find nothing
objectionable about it.


That's because you don't understand the difference between impedance matching
and ac load line matching.

I simply wanted to make it clear that the "matching" done was not an issue of
"output impedance" per se. It is an issue of how the transistor is to be loaded
to extract maximum ouput power.


Again, a presumption not brought to the table.


It was brought to the table in my first post to this thread.

It may follow as a
consequence, but it is not a necessary condition.

Our questioner who started this thread is undoubtedly interested in
the outcome in terms of maximum radiation for a limited power - it is
a chain of causality that is a forced step matching issue from the
battery to the æther. This is a first principle of successful
production engineering.


How would you know about first principles of production engineering and what
does it have to do with this thread?

gwhite March 2nd 05 08:50 PM

John Woodgate wrote:

I read in sci.electronics.design that Cecil Moore
wrote (in ) about '1/4 vs 1/2 wavelength
antenna', on Wed, 2 Mar 2005:
Richard Clark wrote:
There are no sine waves in nature, so by this contortion of logic from
above there are no s-domains (?). Why are there no sine waves in
nature? Because nature is bounded by the Big Bang (a discontinuity)
at one end, and has yet to fulfill its infinite extent.


One would think that a 12 billion year windowing
would be close enough. :-)


Not only that, but since by definition the Universe started at T=0, any
'sine wave' that starts at a positive zero-crossing is at any later time
indistinguishable from a real one that started at T=0.


Not if we were there the moment the later wave turned on. I heard that amateur
operators hate splatter. RC appears to be an exception, however.

John Woodgate March 2nd 05 09:05 PM

I read in sci.electronics.design that gwhite wrote
(in ) about '1/4 vs 1/2 wavelength
antenna', on Wed, 2 Mar 2005:
John Woodgate wrote:
Not only that, but since by definition the Universe started at T=0, any
'sine wave' that starts at a positive zero-crossing is at any later time
indistinguishable from a real one that started at T=0.


Not if we were there the moment the later wave turned on. I heard that
amateur operators hate splatter. RC appears to be an exception,
however.


See 'at any later time' in my text.
--
Regards, John Woodgate, OOO - Own Opinions Only.
The good news is that nothing is compulsory.
The bad news is that everything is prohibited.
http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk

gwhite March 2nd 05 09:14 PM

John Woodgate wrote:

I read in sci.electronics.design that gwhite wrote
(in ) about '1/4 vs 1/2 wavelength
antenna', on Wed, 2 Mar 2005:
John Woodgate wrote:
Not only that, but since by definition the Universe started at T=0, any
'sine wave' that starts at a positive zero-crossing is at any later time
indistinguishable from a real one that started at T=0.


Not if we were there the moment the later wave turned on. I heard that
amateur operators hate splatter. RC appears to be an exception,
however.


See 'at any later time' in my text.



Oh yeah.

Richard Clark March 2nd 05 09:39 PM

On Wed, 02 Mar 2005 20:30:45 GMT, gwhite wrote:

I said
Thevenins was irrelevent, and now you appear to agree with me. Ken effectively
brought up conjugate matching, not me.


This compounded with the denial of Thevenin is quickly closing the
available matching mechanisms. If it is not about Thevenin, and it is
not about Conjugation, then I am willing to wait to hear what it IS
about.


Ah, at last a relevent question/statement. See my first post in this thread.


Mmm-Hmm

On Wed, 23 Feb 2005 19:08:20 GMT, gwhite wrote:

RF transmitters are not impedance matched to antennae in the sense of maximum
transfer of power.


Hi OM,

As I've noted in the past, you can fill a library with negative
assertions without ever offering an answer, eg.:
RF transmitters are not Nuclear resonated to antennae in the sense of maximum
transfer of power.


RF transmitters are not impedance matched to antennae in the sense of maximum
balance of payments.


RF transmitters are not cosmically matched to antennae in the sense of maximum
psychrotropic power.


The list could go on, be completely accurate, and yet never actually
mean anything in the end much as the nonsense you offered from the
start.

You sighed with content at being offered a "relevent
question/statement" Your re-iterative response contains the same (how
could it be otherwise?) slack of precision that started this. Want to
try again?

You could have as easily expressed what sense they ARE matched, but
instead this time offer what Basis of Matching you are attempting to
describe. This is the more rigorous approach that eliminates vague
descriptions and uses standard terms. If you have to query about what
"Basis" means (used by professionals - namely metrologists who can
quantify Output Z of all sources) - then we can skip it as a topic out
of the reach of amateur discussion.

Note:
Again, RF PA's should be load-line matched.

Does not qualify as a Basis. It is suggestive of one, but because you
indiscriminately mix several Basis within your discussions, it is your
responsibility to be precise. If you can accomplish this, then we can
proceed to review how little it all matters.

Barring resolving any of these issues of precise language, I notice
that you rather enjoy fruitless jousting with them than challenging my
support of Ken's (supposed) statement that you say is your focus:
However, responding to the bald statement, I find nothing
objectionable about it.


That's because you don't understand the difference between impedance matching
and ac load line matching.

We will leave that as another dead-end.

73's
Richard Clark, KB7QHC

gwhite March 2nd 05 10:22 PM

Ken Smith wrote:

In article , gwhite wrote:
[...]
You entirely missed the point. You don't know the output impedance because you
don't have a way of determining it by swinging the output full-scale.


You don't have to swing the output full-scale to measure the impedance.


Playing along with the idea that there is some meaningful fixed Z of the device
for large swings, yes you would have to do so to prove the concept. You would
need to prove that output Z was the same for driving 1 W into the output as for
driving 100 W into the output. I also predict that even the small signal output
Z of the power amp will not be that conjugate impedance you think it is for a
properly designed PA. (I am not making a claim that it would *never* be so for
any PA.)

Any change in the load, no matter how small, will cause a change in the
output voltage and the output current.


Likewise, a change in the output Z would do the same thing. Since you're
presuming linearity, we can include gain linearity. I.e., the gain with "-10
dB" of drive is the same as the gain with "0 dB" drive. I'll define the 0 dB
gain as associated with the 1 db compression point. Since the gain is defined
as linear (really fixed regardless of drive), and the load is fixed, something
must have "caused" the compression. A way to *model* the compression is a
changed output Z as a function of drive. While I realize this is an
unconventional view of output compression modeling, I believe it is fair, since
you are making the linear presumption. I think this is fair also because the
impedance concept is a linear/sinusoid one. Under that presumption, you've given
me license to disregard distortion.


From these you can calculate the
output impedance at the current operating point.

When a transistor is operating under large signal conditions into a tuned
load, there is still an output impedance and this impedance still
discribes what will happen for small changes in the load.


Let's do another example.

Say the device we've selected has an Imax rating of 1 amp and a generator
resistance of 100 ohms. Per standard linear theory, we do our norton model of
Igen in parallel with the 100 ohms. Under standard conjugate matching theory,
we should load it with 100 ohms.
Now with the 100 ohm load, we get a 50 V peak for Imax = 1 amp. But what if
both our DC supply and device breakdown won't allow this? We have a practical
limiting Vmax not at all included in linear theory. Due to breakdown or supply
rail concerns, we'll see our Imax quite short of the 1 amp we expect when the
device is loaded with 100 ohms. We won't be getting all the power out of it we
"expect" because of practical limitations not built into linear conjugate
matching theory.

How do we select the best load, since conjugate loading clearly does not use the
device to its full potential? We seek Ropt, or what is commonly referred to as
the load line match.

Ropt = Vmax/Imax

where Ropt Rgen, if not

(Rgen + Ropt)/(Rgen*Ropt) = Vmax/Imax


So even looking into the PA output in the small signal sense (or tweaking the
impedance as you suggest), we won't likely see Ropt = Rgen, because we are
dealing with some practical design limitations not accounted for in linear
theory.

Perhaps a couple of quotes from Cripps would be nice:

http://www.amazon.com/exec/obidos/tg.../-/0890069891/

"The load-line match is a real-world compromise that is necessary to extract the
maximum power from RF transistors and at the same time keep the RF voltage swing
within specified limits and/or the available DC supply." p13

"A final note here concerns the nebulous and highly questionable concept of
large signal impedance. The reason for the load-line match is to accommodate the
maximum allowable current and voltage swings at the transistor output. That says
nothing about the impedance of the device, which remains the same throughout the
linear range. Once a device starts to operate in a significantly nonlinear
fashion, the apparent value of the impedances will change, but the whole concept
of impedance starts to break down as well, because the wave forms no longer are
sinusoidal." p14

Ken Smith March 2nd 05 10:22 PM

In article , gwhite wrote:
Ken Smith wrote:


The strongest argument for dropping the impedance matching concept is PA
efficiency, and therefore maximum signal swing. Obtaining maximum swing is a
load line issue.


What do you mean by "maximum signal swing" in this context. I can get a
bigger swing by leaving the output completely unloaded and hence causing
the actual efficiency to be zero.


LOL. Sure, the purpose of a power amp is to actually extract power. This is a
good start.


No, the purpose of the power amp is to deliver power, not extract it.


Perhaps a simplistic (and of course idealized) class A example would help. And
I want to remind that this is a simplification of the first order design cut.


Don't bother with the over simplified Class A case. RF power
amplification is rarely done class and and it is a digression from the
actual topic.

[...]

Our circuit loaded with 10 ohms delivers twice as much power as with the lesser
5 ohms or greater 20 ohms. That is, extracted output power is peaking at some
finite non-zero value. This is also easily seen to be most efficient point for
this simplistic example.


At some point as you decrease the resistance, the output will drop to zero
as the amplifier fails or it will start to decrease in some more
controlled manner as the protection circuits take control. If we assume
the latter case, it is easy to see that the power reaches a maximum value
and then decreases as the resistance is lowered. The point at which the
power is at the maximum is the point at which the load is matched. If you
make a small change in the load and observe the voltage and current when
that small change is made, you will see that that is indeed the output
impedance of the amplifier. I think this is the part you are not
grasping.


--
--
forging knowledge


Ken Smith March 2nd 05 10:27 PM

In article , gwhite wrote:
[...]
Here's the original quote [Ken]:

"When the correct matching is done, the antenna works as an impedance mathcing
network that matches the output stages impedance to the radiation resistance."


Yes, I stand by and have just in another part of the thread once again
explained that indeed the impedance is matched. ie: If you make a small
change in the impedance in any direction the power decreases. Increasing
the resistance is the obvious one. The other three are because the
protection circuits act. The OP had a completed transmitter he was
connecting to a length of wire.



--
--
forging knowledge


Ken Smith March 2nd 05 10:30 PM

In article ,
John Woodgate wrote:
[...]
The point is that if you want to talk/write about one of these
impedances, you need, to prevent misunderstanding, use a precise term,
such as 'incremental output source impedance' and define it.


You are right. I really needed to be more clear in the first posting I
did. That bridge has now been crossed and this is getting tiresome. If
the OP doesn't come in with more questions, I'm out of here.

--
--
forging knowledge


gwhite March 2nd 05 10:34 PM

Ken Smith wrote:

In article , gwhite wrote:
Ken Smith wrote:


The strongest argument for dropping the impedance matching concept is PA
efficiency, and therefore maximum signal swing. Obtaining maximum swing is a
load line issue.

What do you mean by "maximum signal swing" in this context. I can get a
bigger swing by leaving the output completely unloaded and hence causing
the actual efficiency to be zero.


LOL. Sure, the purpose of a power amp is to actually extract power. This is a
good start.


No, the purpose of the power amp is to deliver power, not extract it.


Well really, once the device and supply have been determined, we can indeed view
it as extraction. We'll load it to extract the most. If you want to mince
words and call it "deliver," that is fine.

Perhaps a simplistic (and of course idealized) class A example would help. And
I want to remind that this is a simplification of the first order design cut.


Don't bother with the over simplified Class A case. RF power
amplification is rarely done class and and it is a digression from the
actual topic.


Well, class A is certainly done. Two cases are where the extra little bit of
linearity is desired and at high frequencies, were PAE starts to take a bite as
the gain drops below 10 dB.

Our circuit loaded with 10 ohms delivers twice as much power as with the lesser
5 ohms or greater 20 ohms. That is, extracted output power is peaking at some
finite non-zero value. This is also easily seen to be most efficient point for
this simplistic example.


At some point as you decrease the resistance, the output will drop to zero
as the amplifier fails or it will start to decrease in some more
controlled manner as the protection circuits take control. If we assume
the latter case, it is easy to see that the power reaches a maximum value
and then decreases as the resistance is lowered. The point at which the
power is at the maximum is the point at which the load is matched. If you
make a small change in the load and observe the voltage and current when
that small change is made, you will see that that is indeed the output
impedance of the amplifier. I think this is the part you are not
grasping.


No, this is exactly where I'm saying you are incorrect. You are not getting the
practical limitations and are mistakenly applying linear concepts. It doesn't
work if you want to extract maximum power from the DC supply through a real
device, converting the DC power into RF power.

gwhite March 2nd 05 10:44 PM

Ken Smith wrote:

In article , gwhite wrote:
[...]
Here's the original quote [Ken]:

"When the correct matching is done, the antenna works as an impedance mathcing
network that matches the output stages impedance to the radiation resistance."


Yes, I stand by and have just in another part of the thread once again
explained that indeed the impedance is matched. ie: If you make a small
change in the impedance in any direction the power decreases.


Driven to max swing, this is true. But it is because of asymmetrical clipping,
not because of conjugate mismatch. For lower drives, what you say won't
necessarily be true *unless* you've mis-designed according to conjugate match
ideals. Your argument is circular.

If you design for conjugate match, you're right. I'm saying: don't do that. If
I design for load line match and you design for conjugate max (both pf us using
the same device and supply), I will get a higher peak power than you will.
However, you'll get to be right about how your amp acts regarding diverging from
conjugate load. But it is irrelevent: you made a fundamental mistake.

Increasing
the resistance is the obvious one. The other three are because the
protection circuits act. The OP had a completed transmitter he was
connecting to a length of wire.


Richard Harrison March 2nd 05 11:52 PM

G. White wrote:
"This example is intended to be illustrative rather than exact."

Nobody contradicts that maximum power from an amplifier requires an
impedance match, so far.

Nobody contradicts that efficiency in an ideal Class A amplifier can
never exceed 50%, so far.

Some texts show waveform distortion typical of a single-ended Class A
amplifier and note that "maximum undistorted power" requires a load
impedance 2 to 3 times that of the amplifying device.

G. White gives a peak to peak voltage of 20 and a power out of 5 watts.
RMS volts are 7.07 in this case. The load then is the square of the
volts divided by the power. This is 50/5 or 10 ohms for the load. If
this matches his amplifier, 5 watts is the maximum output.

G. White said that he did not consider the output-Z of the amplifier in
its loading. Ignoring an amplifier`s impedance does not make it go away.
Ignoring an amplifier`s impedance does not revoke the maximum power
transfer theorem, either.

Best regards, Richard Harrison, KB5WZI


Reg Edwards March 3rd 05 12:28 AM

Richard, your method of measuring internal impedance of an amplifier sounds
interesting. (o/c volts divided by s/c current)

At present I have no facilities to make such measurements.

Perhaps a few curious readers, who do have facilities, might make crude
measurements on their HF rigs and report approximate impedance values on one
or two bands on this newsgroup. Some sort of average could be obtained.
----
Reg, G4FGQ
===================================

"Richard Harrison" wrote in message
...
Asimov wrote:
"Let`s look at it from the dynamic point of view (loss in a Class A
amplifier)."

The no-signal loss of a Class A amplifier is 100%. It equals volts x
amps and appears in the amplifier. Now feed a signal to the ideal
amplifier set just below the clipping level. Average d-c power is
unchanged from the unloaded and no-signal conditions.

Connect a matched load resistor to the amplifier output. If physically
small, the resistor may become warm with heat that were it not for the
load would be otherwise dissipated in the amplifier. Input power to the
Class A amplifier is unchanging.

Finding the internal resistance theoretically is simple. It is simply
the open-circuit output voltage divided by the short-circuit current.

Open-circuit voltage at full output and short-circuit current may be
severe. Internal resistance can be found under less stressful
conditions. Internal resistance will drop the voltage to any load
reasistance. Use the voltage-divider formula to calculate the internal
resistance.

With pure resistances, half the open-circuit volts are dropped by the
internal resistance when the load is a match.

A power amplifier`s internal impedance can be determined.

Power output from a Class A amplifier cools it.

Best regards, Richard Harrison, KB5WZI




Cecil Moore March 3rd 05 02:05 AM

Asimov wrote:

"Cecil Moore" bravely wrote:
CM Why do the instructions on my stereo amp warn against
CM running the amp with no speakers attached?

Because then the screen tries to carry the plate signal, the reactance
in the output transformer is not damped, and because a tube is
sensitive to voltage, this quickly leads to a molten hole in the side?
Watts to plasma.


Sorry, it's solid state - no screen. Let's face it - unloaded
amplifiers tend to burn up no matter what class they are running.
--
73, Cecil http://www.qsl.net/w5dxp

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Cecil Moore March 3rd 05 02:19 AM

Reg Edwards wrote:
Richard, your method of measuring internal impedance of an amplifier sounds
interesting. (o/c volts divided by s/c current)


Reg, I tried that one time in college. I got as far as torching
two ARC-5 1625's driving an open circuit so I don't know what
would have happened with a short circuit.
--
73, Cecil http://www.qsl.net/w5dxp

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Tom Donaly March 3rd 05 02:52 AM

Cecil Moore wrote:
Reg Edwards wrote:

Richard, your method of measuring internal impedance of an amplifier
sounds
interesting. (o/c volts divided by s/c current)



Reg, I tried that one time in college. I got as far as torching
two ARC-5 1625's driving an open circuit so I don't know what
would have happened with a short circuit.


Some of Motorola's devices might actually be able to stand
Reg's little test. The MRF150, for instance is advertised as
being able to withstand a 30:1 VSWR at all phase angles. I
think Reg should offer to pay for any damage sustained as the
result of this test.
73,
Tom Donaly, KA6RUH

Asimov March 3rd 05 04:12 AM

"Richard Harrison" bravely wrote to "All" (02 Mar 05 10:35:29)
--- on the heady topic of " Say what you mean."

RH From: (Richard Harrison)
RH Xref: aeinews rec.radio.amateur.antenna:26249

RH Asimov wrote:
RH "Let`s look at it from the dynamic point of view (loss in a Class A
RH amplifier)."

RH The no-signal loss of a Class A amplifier is 100%. It equals volts x
RH amps and appears in the amplifier. Now feed a signal to the ideal
RH amplifier set just below the clipping level. Average d-c power is
RH unchanged from the unloaded and no-signal conditions.

RH Connect a matched load resistor to the amplifier output. If physically
RH small, the resistor may become warm with heat that were it not for the
RH load would be otherwise dissipated in the amplifier. Input power to
RH the Class A amplifier is unchanging.
[,,,]
RH Power output from a Class A amplifier cools it.

Okay, it cools. Enough said. I was confusing it with Class B which
does warm up the heatsink. ;-)

A*s*i*m*o*v

.... May you find the light and walk the mountain tops.


Asimov March 3rd 05 06:16 AM

"Rich Grise" bravely wrote to "All" (03 Mar 05 23:00:40)
--- on the heady topic of " 1/4 vs 1/2 wavelength antenna"

RG From: Rich Grise
RG Xref: aeinews rec.radio.amateur.antenna:26329
RG sci.electronics.design:1386
RG On Thu, 03 Mar 2005 20:53:48 +0000, John Woodgate wrote:
I read in sci.electronics.design that gwhite wrote

...
Doesn't everyone know that an audio amplifier that id designed to feed
an 8 ohm load MUST have an output source impedance of 0.0000001 ohms or
less. An output source impedance of 8 ohms would dramatically decrease
the electromagnetic damping on the loudspeaker voice-coil - by the huge
factor of .... two!(;-)


RG Yeah - isn't that why the TOOB amps had those taps? So you could get
RG that rich, full-bodied TOOB sound? ;-)

No, the taps are there to maximize the power output. If one uses the
8 ohm tap with a 4 ohm speaker the power is reduced and the same if
one uses a 16 ohm speaker. Audio output matching has little to do with
plate resistance in a beam tube or pentode. It has everything to do
with plate voltage swing and maximum plate current. The less plate
resistance the more power can get to the load. Beam tube curves look a
lot like a transistor's collector saturation curves.

However, some tube amplifiers had a current feedback control which
would increase the output impedance to equal the speaker's. Needless
to say it severely reduced the speaker damping resulting in exagerated
frequency response artifacts.

A*s*i*m*o*v

.... Without ignorance, knowledge is powerless.


Reg Edwards March 3rd 05 01:11 PM

Reg Edwards wrote:
Richard, your method of measuring internal impedance of an amplifier

sounds
interesting. (o/c volts divided by s/c current)


Reg, I tried that one time in college. I got as far as torching
two ARC-5 1625's driving an open circuit so I don't know what
would have happened with a short circuit.
--
73, Cecil


==============================
Cecil,
Presumably you hadn't heard of Ohms Law.

The internal resistance of a generator is independent of its internal
voltage. Just reduce the drive level to some small, no particular value,
and stop making excuses.

( Somebody will say it IS dependent. But we are interested only in
ball-park accuracy. And in any case the operating point will be within the
normal range of operation between no-drive and full drive, or between no
modulation and full modulation.)
----
Reg, G4FGQ



Cecil Moore March 3rd 05 01:41 PM

Reg Edwards wrote:
The internal resistance of a generator is independent of its internal
voltage. Just reduce the drive level to some small, no particular value,
and stop making excuses.

( Somebody will say it IS dependent. But we are interested only in
ball-park accuracy. And in any case the operating point will be within the
normal range of operation between no-drive and full drive, or between no
modulation and full modulation.)


That might work better for Class-AB than Class-C. If one
reduces drive level on a Class-C, one is reducing the 'on'
time of the device, thus changing the internal impedance
probably somewhat inversely proportional to the 'on' time.

If I remember correctly, my IC-706 would not fold back
under any load condition when run at minimum power.
--
73, Cecil http://www.qsl.net/w5dxp

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Asimov March 3rd 05 01:56 PM

"Cecil Moore" bravely wrote to "All" (02 Mar 05 20:05:49)
--- on the heady topic of " Say what you mean."

CM From: Cecil Moore
CM Xref: aeinews rec.radio.amateur.antenna:26289

CM Asimov wrote:
Watts to plasma.


CM Sorry, it's solid state - no screen. Let's face it - unloaded
CM amplifiers tend to burn up no matter what class they are running.

Why don't you repeat that to the folk who think their amp cools when
it outputs watts?

A*s*i*m*o*v

.... New computer? But I like my vacuum tubes... They keep me warm.


Richard Harrison March 3rd 05 01:59 PM

Asimov wrote:
"I was confusing it with Class B which does warm up the heatsink"

True. Class B amplifiers can be single-ended for R-F if used with the
right tank circuit to supply the missing 1/2-cycle. More often they are
push-pull to reduce harmonics.

SSB final amplifiers are biased to near current cut-off. During
modulation gaps, current falls to nearly zero. When current is zero, so
is the dissipation.

Reg mentioned the blistering heat of the 6N7. Thai`s my recollection too
when getting nearly 10 watts of audio from the small twin-triode
octal-based metal tube. Reduce the audio volume and the heat is reduced
simultaneously.

Best regards, Richard Harrison, KB5WZI


gwhite March 3rd 05 08:25 PM

Richard Clark wrote:


As I've noted in the past, you can fill a library with negative
assertions...


The troublesome assertion is not the negative one. It is that RF PA's are
conjugate matched. Neither you nor Ken has provided a single example of such a
design that also extracts the maximum amount of "linear" power from a device and
essentially its power supply (after all, that is what it is: a _power_ amp).
Your example said nothing about output-Z, which suggests you have no clue, since
you didn't even remotely address the issue.

For Ken's part, he recently obfuscated by dismissing an example that was
primarily intended to be illustrative, but yet holding the salient points. He
completely ignored (or didn't understand) the clipping issue. Further
obfuscation was provided by talking about "protection circuitry," which may or
may not exist in a circuit, but adds zero to a discussion regarding how the PA
is to be loaded. "Protection" is a non-stater because the PA is either off or
impaired.

Ken's argument is circular. He say's that if a design is done for conjugate
match,
then it will behave as if it is conjugately matched. Well of course (or at
least sort of under specific test conditions and circuits)! It is
self-fullfilling prophecy but it unfortunately makes no statement regarding
obtaining the maximum power out of the circuit in the sense of turning DC power
into RF power (yes, *extracting* power from the DC supply and transformed to
RF). This is paramount to PA design. To use the device to maximum efficacy, as
Cripps puts it, a load-line match is needed. Ken's "conjugate match" design
won't do that, and that's why PA's aren't designed that way.

The bottom line is that if I design an amp via load line techniques using the
same device and power supply as Ken (him using conj-match), my amp will deliver
higher unclipped PEP than his. That is the factual result you resist. Now if
you want to pay for extra power and big devices, that's your business--go ahead
and attempt to conj-match your amp--but engineers who design PA's don't do that.

Another idealized and hypothetical example to elucidate the load-line principle
is offered.

Let's say we have a 10 W FET we'll build into a class A circuit. An RF choke is
used to supply drain current. We DC bias it to Vd = 10 V and Id = 1 A. Just
for argument sake, let's say it has a constant internal resistance of 110 ohms
and the device will break down at 25 V. According to the most idealized and
standard load-line theory, we should load it to rL = Vd/Id = 10 Ohms. This
idealization includes the definition of positive and negative clipping --
whichever comes "first" -- of being the operational limit for output voltage
swing. Clipping is associated with severe distortion.

Since we need rL to be 10 ohms, and Ri = 110 ohms, we need to make the actual
load resistor equal to: RL = 11 Ohms. Let's check that result and see if it
meets the clipping constraint for maximum available power.

positive swing = Id*rL = 1*10 = 10 V
negative swing = Vd = 10 V
Power delivered to RL: Pload = 10^2/(2*11) = 4.55 W
The efficiency is a little under 50% because of the internal resistance. Note
the Load resistance is decidely not the conjugate of the internal resistance.

Let's spot check the load to see if it at least appears to be the peak available
power, by testing two loads "immediately" on either side of our optimum 11 ohms.

Let RL = 10 ohms
positive swing = Id*rL = 1*9.17 = 9.17 V
negative swing = Vd = 10 V
Since we positive clip at 9.17 V, we are limited by our design clipping
constraint to only driving the PA such that 2*9.17 V is the maximum available
voltage swing.
Power delivered to RL: Pload = 9.17^2/(2*10) = 4.20 W

Let RL = 12 ohms
positive swing = Id*rL = 1*10.82 = 10.82 V
negative swing = Vd = 10 V
Since we negative clip at 10 V, we are limited by our design clipping constraint
to driving the PA such that 2*10 V is the maximum available voltage swing.
Power delivered to RL: Pload = 10^2/(2*12) = 4.17 W

Sure enough, the power peaked at a load of 11 ohms, just like load-line theory
says it will. Now let's see what the available power hit of conjugate matching
is.

By definition, conj-match insists RL = Ri = 110 ohms. Again we are limited in
our clipping constraint by static drain current, and supply voltage,
specifically 10 V.

Our negative swing limit is, as ever, 10 V (the drain voltage).

positive swing = Id*rL = 1*55 = 55 V

This would breakdown the device, but the lower negative swing will force us to
back down the drive to meet the design defined clipping constraint.

Pload = 10^2/(2*110) = 0.455 W

Conjugate matching resulted in a 10*log(0.455/4.55) = 10 dB available power
hit. Power amplifiers are not designed with conjugate matching in mind. You
don't need to re-invent the wheel. Just follow well established principles when
doing cookie cutter PA design.

The list could go on,...


LOL. Given your pattern, I am sure it will.

You sighed with content at being offered a "relevent
question/statement" Your re-iterative response contains the same (how
could it be otherwise?) slack of precision that started this. Want to
try again?


Not really. The problem isn't precision, it is you can't, or refuse, to
comprehend what is being said, which I presume is why you instead write with the
most bizarre terms and phrasology that has nothing of import to the topic at
hand.

You could have as easily expressed what sense they ARE matched,


For what seems like the billionth time now: they are load-line matched.

...but instead this time offer what Basis
of Matching you are attempting to
describe.


I've given a didactic example (actually a couple), you just don't--or more
likely won't--get it. If you don't like my example, you can refer to Cripps,
who is considered one of the preeminant RF PA experts in the world.

Even more simplistic is Malvino's discussion on pp177-185 of the first edition
((c) 1968) of "Transistor Circuit Approximations." It is basically a technician
level description, so perhaps it is well-suited to you. In academics, load-line
theory is presented down to tech level courses and up across to engineering.
That some engineers and techs aren't clear on the load-line concept for PA's (or
*any* circuit needing a wide symmetrical swing) is notwithstanding.

This is the more rigorous approach that eliminates vague
descriptions and uses standard terms. If you have to query about what
"Basis" means (used by professionals - namely metrologists who can
quantify Output Z of all sources) - then we can skip it as a topic out
of the reach of amateur discussion.


I see you still don't know what impedance is. In any case, it doesn't mean that
looking into a properly designed PA output with a network analyzer confirms the
conj-match precept, it doesn't.

Impedance is a *linear* conception, a portion of linear theory, and again by
definition:

Z = V/I

V and I are sinusoids (phasors). But with power amps, substantial non-linearity
exists (destroying the linearity assumption of impedance), thus applying a
linearly defined concept to a non-linear milieu is a misapplication. You are
attempting, as is Ken, to stuff a square peg down a round hole. Why?

The concept is even questionable for the most linear of the power amps: class
A. In any case, given real devices with real supplies, the conj-match ideal is
next to worthless. While I could agree that the borderline may be fuzzy
regarding where and when to drop the impedance notion, it still stands that the
concept is not useful in determining how to optimally load an RF PA.

At this point you own the conj-match assertion as much as Ken. Prove it! You
can't because it is fundamentally incorrect.

Note:
Again, RF PA's should be load-line matched.

Does not qualify as a Basis.


Load-line matching is such a basic electronic concept it is unbelievable how
oblivious you are to the concept. Read a basic book. Don't rely on me: look it
up and do your own design!

It is suggestive of one, but because you indiscriminately
mix several Basis within your discussions, it is your
responsibility to be precise.


You just like to hear yourself talk. I've been explicit and precise. You just
don't know anything about the elementary electronics principle of load line
matching. I presume this is why your comments have zero substantive
responsiveness.

If you can accomplish this, then we can
proceed to review how little it all matters.


If you keep ignoring what I've written, and that which is written in elementary
electronics texts, you can remain happily ignorant of understanding the
simple-basic-fundamental concept presented. Your choice.

Barring resolving any of these issues of precise language,...]


The guy ignorant of the definition of impedance and that s-domain theory *is*
linear circuit theory (and more goodies) is talking about "precise language."
Amusing.

I notice
that you rather enjoy...


No, I don't enjoy it at all. Your lack of electronic understanding is dismal,
especially given your tone. It would have been a lot easier for me if Ken
hadn't made the erroneous
statement in the first place and made a correct one instead. That would have
been my preferance.

..fruitless jousting with them than challenging my
support of Ken's (supposed) statement that you say is your focus:
However, responding to the bald statement, I find nothing
objectionable about it.


That's because you don't understand the difference between impedance matching
and ac load line matching.

We will leave that as another dead-end.


I suspect you will. I already understand it -- you're the one who doesn't.


"One of the principal differences between linear RF amplifier design and PA
design is that, for optimum power, the output of the device is not presented
with the impedance required for a linear conjugate match. That causes much
consternation and has been the subject of extensive controversy about the
meaning and nature of conjugate matching. It is necessary, therefore, to swallow
that apparently unpalatable result as early as possible (Section 1.5), before
going on to give it more extended interpretation and analysis (Chapter 2)." --
Cripps, p1


The quote is on Page 1. Swallow it now. Learn something for a change.

John Woodgate March 3rd 05 08:53 PM

I read in sci.electronics.design that gwhite wrote
(in ) about '1/4 vs 1/2 wavelength
antenna', on Thu, 3 Mar 2005:
By definition, conj-match insists RL = Ri = 110 ohms. Again we are
limited in our clipping constraint by static drain current, and supply
voltage, specifically 10 V.

Our negative swing limit is, as ever, 10 V (the drain voltage).

positive swing = Id*rL = 1*55 = 55 V

This would breakdown the device, but the lower negative swing will force
us to back down the drive to meet the design defined clipping
constraint.

Pload = 10^2/(2*110) = 0.455 W


And the power dissipated in the device is also 0.445 W. Matching
according to the 'maximum power theorem' or conjugate matching, results
in equal power in the PA and load. That's why it isn't useful for power
amplifiers.

Doesn't everyone know that an audio amplifier that id designed to feed
an 8 ohm load MUST have an output source impedance of 0.0000001 ohms or
less. An output source impedance of 8 ohms would dramatically decrease
the electromagnetic damping on the loudspeaker voice-coil - by the huge
factor of .... two!(;-)
--
Regards, John Woodgate, OOO - Own Opinions Only.
The good news is that nothing is compulsory.
The bad news is that everything is prohibited.
http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk

Richard Clark March 3rd 05 09:42 PM

On Thu, 03 Mar 2005 20:25:16 GMT, gwhite wrote:

You sighed with content at being offered a "relevent
question/statement" Your re-iterative response contains the same (how
could it be otherwise?) slack of precision that started this. Want to
try again?


Not really.

....
I notice that you rather enjoy fruitless jousting with them than challenging my
support of Ken's (supposed) statement that you say is your focus:
However, responding to the bald statement, I find nothing
objectionable about it.

That's because you don't understand the difference between impedance matching
and ac load line matching.

We will leave that as another dead-end.


I suspect you will.


Hi OM,

224 line postings to produce this little qualitative information? :-)

73's
Richard Clark, KB7QHC

Richard Clark March 3rd 05 09:44 PM

On Thu, 3 Mar 2005 20:53:48 +0000, John Woodgate
wrote:

Doesn't everyone know that an audio amplifier that id designed to feed
an 8 ohm load MUST have an output source impedance of 0.0000001 ohms or
less.


Hi John,

I hope that was a joke.

73's
Richard Clark, KB7QHC

gwhite March 3rd 05 10:47 PM

Richard Clark wrote:


224 line postings to produce this little qualitative information? :-)


I see one line here with no content. You don't have any argument because you
have zero understanding. No one can cure that but you. But can you?

"Stupid is as stupid does." -- Forrest Gump

gwhite March 3rd 05 11:00 PM

John Woodgate wrote:

I read in sci.electronics.design that gwhite wrote
(in ) about '1/4 vs 1/2 wavelength
antenna', on Thu, 3 Mar 2005:
By definition, conj-match insists RL = Ri = 110 ohms. Again we are
limited in our clipping constraint by static drain current, and supply
voltage, specifically 10 V.

Our negative swing limit is, as ever, 10 V (the drain voltage).

positive swing = Id*rL = 1*55 = 55 V

This would breakdown the device, but the lower negative swing will force
us to back down the drive to meet the design defined clipping
constraint.

Pload = 10^2/(2*110) = 0.455 W


And the power dissipated in the device is also 0.445 W.


I think it is 1A*10V - 0.455 W = 9.545 W
^^^^^^ ^^^^^^^
DC input Power
Power delivered
to RL


The resistance dissipated in the "internal AC resistance" is equal to RL in the
conj-match condition. Of course, we're ignoring input power here, which is
"small" when the gain is +20 dB.

Matching
according to the 'maximum power theorem' or conjugate matching, results
in equal power in the PA and load. That's why it isn't useful for power
amplifiers.


Amusingly for my hypothetical class A conj-match example, the "equal power
dissipation" isn't such a big deal, since it is class A and the fractional power
dissipated in either the internal AC resistance or the external load resistance
is rather small compared to DC dissipation (less than 10%).

Doesn't everyone know that an audio amplifier that id designed to feed
an 8 ohm load MUST have an output source impedance of 0.0000001 ohms or
less. An output source impedance of 8 ohms would dramatically decrease
the electromagnetic damping on the loudspeaker voice-coil - by the huge
factor of .... two!(;-)


Nice one.

Rich Grise March 3rd 05 11:00 PM

On Thu, 03 Mar 2005 20:53:48 +0000, John Woodgate wrote:
I read in sci.electronics.design that gwhite wrote

....
Doesn't everyone know that an audio amplifier that id designed to feed
an 8 ohm load MUST have an output source impedance of 0.0000001 ohms or
less. An output source impedance of 8 ohms would dramatically decrease
the electromagnetic damping on the loudspeaker voice-coil - by the huge
factor of .... two!(;-)


Yeah - isn't that why the TOOB amps had those taps? So you could get that
rich, full-bodied TOOB sound? ;-)

Cheers!
Rich



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