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Geoffrey S. Mendelson[_2_] June 9th 10 08:00 PM

Where does it go? (mismatched power)
 
If you have a resonant antenna, supposedly all of the power is radiated.

(SWR 1:1)

If you have a nonresonant antenna, some of the power is reflected back to
the transmitter.

(SWR 1:1)

If you connect a tuner and it is "tuned", none of the power is reflected
back to the transmitter.

(SWR at transmitter 1:1, at antenna still 1:1)

Obviously it has to go somewhere.

Where?

If you are designing a tuner, where would you design it to go?

Thanks in advance

Geoff.

--
Geoffrey S. Mendelson, Jerusalem, Israel N3OWJ/4X1GM
I do multitasking. If that bothers you, file a complaint and I will start
ignoring it immediately.

Owen Duffy June 9th 10 08:28 PM

Where does it go? (mismatched power)
 
"Geoffrey S. Mendelson" wrote in
:

Geoffrey,

I have bad news for you, your post is based heavily on misconceptions,
archetypal ham myths even.

I wrote a short article entitled "A simple VSWR analysis without mirrors"
at http://vk1od.net/blog/?p=1259 , which analyses a mismatched line example
without resorting to dodgy concepts often (and almost exlusively) employed
by hams. The article does deal with why there is a reflected wave, and the
result of that reflected wave on line loss and transmitter loading.

IMHO, you would do best by starting with a reputable text book, and
studying the topic. Certainly, the S/N ratio in ham forums is low, 'facts'
seem to be determined by vote, and your wrong concepts are more likely to
be reinforced than seriously challenged.

Owen

Baron[_2_] June 9th 10 08:36 PM

Where does it go? (mismatched power)
 
Geoffrey S. Mendelson Inscribed thus:

If you have a resonant antenna, supposedly all of the power is
radiated.


Yes

(SWR 1:1)


With respect to what !

If you have a nonresonant antenna, some of the power is reflected back
to the transmitter.

(SWR 1:1)

If you connect a tuner and it is "tuned", none of the power is
reflected back to the transmitter.

(SWR at transmitter 1:1, at antenna still 1:1)

Obviously it has to go somewhere.

Where?


Its radiated, less losses.

If you are designing a tuner, where would you design it to go?


That would depend upon desired system characteristics.

Thanks in advance

Geoff.


A antenna at resonance does not necessarily match the feeder impedance !
The whole idea of a tuner is to make one end match the other.
Stating a VSWR of unity implies a 50 ohm measurement system, which an
antenna at resonance rarely is.

73's
--
Best Regards:
Baron.

Roy Lewallen June 9th 10 08:44 PM

Where does it go? (mismatched power)
 
Geoffrey S. Mendelson wrote:
If you have a resonant antenna, supposedly all of the power is radiated.

(SWR 1:1)

If you have a nonresonant antenna, some of the power is reflected back to
the transmitter.

(SWR 1:1)

If you connect a tuner and it is "tuned", none of the power is reflected
back to the transmitter.

(SWR at transmitter 1:1, at antenna still 1:1)

Obviously it has to go somewhere.

Where?

If you are designing a tuner, where would you design it to go?

Thanks in advance

Geoff.


All of the power produced by a transmitter is either radiated or
dissipated as heat, period. But you'll never understand where the
"reflected power" goes until you understand where it comes from.

Consider a 100 watt transmitter connected to a 50 ohm dummy load or
antenna via a half wavelength of 50 ohm lossless transmission line.

The transmitter sees an impedance of 50 ohms resistive.
The transmitter delivers 100 watts to the transmission line.
The transmission line delivers 100 watts to the load.
The load dissipates 100 watts.
The VSWR on the line is 1:1
The "forward power" in the transmission line is 100 watts.
The "reverse power" in the transmission line is zero.

Ok so far? Now replace the transmission line with one having 200 ohm
impedance.

The transmitter sees an impedance of 50 ohms resistive.
The transmitter delivers 100 watts to the transmission line.
The transmission line delivers 100 watts to the load.
The load dissipates 100 watts.
The VSWR on the line is 4:1.
The "forward power" in the transmission line is 156.25 watts.
The "reverse power" in the transmission line is 56.25 watts.

By changing the line impedance, we somehow created an extra 56.25 watts
of "forward power". Neither the transmitter nor the load was aware of
this wonderful event, since the transmitter sees the same load impedance
as before, and the load sees the same source impedance. The transmitter
is delivering exactly the same amount of power as before, and the load
is dissipating the same amount. (If the transmission line had loss, it
would have increased very slightly, but probably not enough to measure,
and certainly much, much less than 56 watts.)

Likewise, neither the transmitter nor the load knows anything about the
new "reverse power" which was created at the same time.

So the answer to your question is that the "reverse power" goes to
wherever the new excess "forward power" comes from. Once you figure out
where that is, you'll have a better understanding of the topic than
nearly everyone who has been arguing on this forum about it for years.

As for a tuner, it has the magical property of having different amounts
of "forward power" and "reverse power" at its input and output when the
amount of actual power flowing is the same on both sides (neglecting
tuner loss). So it can create or destroy "forward power" as well as
"reverse power" by a simple twist of its knobs. Little does the tuner,
transmitter, or load know that as soon as "reverse power" is created,
interminable arguments will take place debating about where it goes.

I now return you to your regularly scheduled programming. . .

Roy Lewallen, W7EL

Richard Clark June 9th 10 11:23 PM

Where does it go? (mismatched power)
 
On Wed, 9 Jun 2010 19:00:37 +0000 (UTC), "Geoffrey S. Mendelson"
wrote:

If you are designing a tuner, where would you design it to go?


Hi Geoff,

You would put it closer to the antenna.

If you connect a tuner and it is "tuned", none of the power is reflected
back to the transmitter.
Obviously it has to go somewhere.


From the perspective of the transmission line in between, when it hits
the discontinuity of the tuner, it is reflected back to the antenna.
The antenna drains away some of that power (just as it did in the
original pass). The process repeats (the antenna is still partially
reflective) and is further sustained with new cycles of energy.

There are finer details that shift these dynamics.

73's
Richard Clark, KB7QHC

Jim Lux June 9th 10 11:38 PM

Where does it go? (mismatched power)
 
Geoffrey S. Mendelson wrote:
If you have a resonant antenna, supposedly all of the power is radiated.

(SWR 1:1)

If you have a nonresonant antenna, some of the power is reflected back to
the transmitter.

(SWR 1:1)

If you connect a tuner and it is "tuned", none of the power is reflected
back to the transmitter.

(SWR at transmitter 1:1, at antenna still 1:1)

Obviously it has to go somewhere.

Differentiate between an antenna that happens to present the wrong
non-reactive resistance... the tuner is just a transformer (whether done
with linked magnetic fields, or by a narrow band matching network of Ls
and Cs)

and an antenna that presents a reactive feedpoint impedance.
In this case: energy circulates between the tuning network and the antenna.

Say your antenna presents a Z that is inductive and you put a parallel
capacitor across the feed to exactly cancel the "inductance". What's
really happening is that you have the equivalent of an LC tank where the
energy moves back and forth between L and C every cycle. In the classic
LC, the energy moves between the magnetic field of the L and the
electric field of the C. In the antenna case, it's somewhat more
complex: the antenna stores energy in the near field in both electric
and magnetic fields.

That answers the question...
The problem is that nothing is lossless, so as it moves, there's a loss.
If it's a resistive loss, it goes as I^2, so doubling the current
results in 4 times the loss. And, if you have an antenna with high
stored energy (about which more, later), this square of the current
means bad news.




Many antennas don't have an explicit separate matching network, but do
the cancelling by doing it within the antenna structu say by
changing element lengths, etc... so now that "circulating current" is
circulating between different parts of the antenna.

In fact, the ration between that stored energy and the amount flowing
"through" (i.e. radiated away) is related to the directivity of the
antenna: high directivity antennas have high stored energy (large
magnetic and electric fields): the ratio of stored to radiated energy
is "antenna Q" (analogous to the stored energy in a LC circuit leading
to resonant rise).

So, high directivity = high stored energy = high circulating energy =
high I2R losses.

It circulates between tuner and antenna.




Where?

If you are designing a tuner, where would you design it to go?

Thanks in advance

Geoff.


Cecil Moore June 10th 10 02:10 PM

Where does it go? (mismatched power)
 
On Jun 9, 2:44*pm, Roy Lewallen wrote:
So the answer to your question is that the "reverse power" goes to
wherever the new excess "forward power" comes from. Once you figure out
where that is, you'll have a better understanding of the topic than
nearly everyone who has been arguing on this forum about it for years.


Let's be careful to point out that "forward power" is a measurement
*at a fixed point* on a transmission line of the rate of flow of the
forward energy which is traveling at the speed of light in the medium.
Same concept for "reflected power" - reflected energy flowing in the
reverse direction at the speed of light in the medium. EM waves cannot
stand still.

It's easy to figure out where the excess forward energy comes from
especially in an ideal lossless system which I will assume for the
rest of this posting. Consider the following thought experiment. An
ideal lossless system with a one-second long Z0=300 ohm feedline. Why
one-second long? Because the watts (joules/second) and the joules will
be the same magnitude, i.e. If it's a matched line with 100 watts of
forward power, it is easy to show that a one-second feedline has 100
joules of energy in it that has been sourced but not yet delivered to
the load - like a delay line.

Here's an example of a Z0-matched system with an SWR of 6:1 on the
Z0=300 ohm feedline. *Steady-state* conditions a forward power =
204 watts and reflected power = 104 watts. Power delivered to the load
= 100 watts. There is a steady-state Z0-match at '+'. Zero reflected
energy reaches the source, i.e. the SWR on the 50 ohm line is 1:1.

100w source---50 ohm line---+---1-sec-long 300 ohm line---50 ohm load

During the transient key-down state, the source supplies a number of
joules to the transmission line that do not reach the load. At the
beginning of steady-state that value is 204 joules plus 104 joules
equals 308 joules.

When steady-state is reached there are 308 joules of energy "stored"
in the one second long transmission line that have not been delivered
to the load. Only after the transmission line is charged with steady-
state energy does the load start to accept the same amount of power as
is being sourced. There is no magic here - just a simple accounting
for all the energy. Why otherwise intelligent, educated RF engineers
cannot perform that simple second-grade math is a subject for another
thread.

During steady-state, there are 308 joules of energy "stored" in the
transmission line that are performing the Z0-match function. There are
204 joules in the forward wave and 104 joules in the reflected wave.
Since RF cannot actually be stored as in a battery, this energy is
moving at the speed of EM waves - the speed of light in the medium.
104 joules/second is continuously being reflected at the load. 104
joules/second is continuously being redistributed back toward the load
at the Z0-match.

At key-up, steady-state ends and the key-up transient state occurs.
During this transient state, all of the 308 joules in the forward wave
and reflected wave during steady-state will be dissipated. During the
key-down transient state, 308 joules are stored in the one second long
transmission line. During the key-up transient state, the 308 joules
are dissipated. For those who feel overwhelmed, it is just simple
second-grade math

In a Z0-matched system, the entire analysis can be performed using an
energy analysis instead of a voltage analysis. The common way to
analyze the above system is to assume that 70.7 volts is present on
the 50 ohm side of the Z0-match with 1.414 amps flowing into the Z0-
match. But with only an energy analysis, we can reverse-engineer the
voltage and current conditions at any point in a Z0-matched system.

Fact of Physics: There are exactly enough joules of energy in the
mismatched transmission line to support the forward wave power and the
reflected wave power. It's not magic nor rocket science. Anyone
willing to count the joules that have not reached the load will
realize that the energy in the forward and reflected waves consists of
real-world joules that cannot be swept under the rug just because some
alleged RF guru is ignorant of the laws of physics.

Here's a simple math problem for all of the readers having trouble
with this concept. On 10 MHz, we have a 50 ohm antenna being fed with
one wavelength of lossless 300 ohm line from a 100w source. During
steady-state, how many microjoules of energy are "stored" in the
transmission line that have not yet reached the load? How are those
microjoules split between the forward wave and reflected wave?
--
73, Cecil, w5dxp.com

Cecil Moore June 10th 10 02:14 PM

Where does it go? (mismatched power)
 
On Jun 9, 5:38*pm, Jim Lux wrote:
It circulates between tuner and antenna.


Just a nit: A certain magnitude of energy circulates between tuner and
antenna. Experiments with TV signal ghosting prove that it is not the
identical energy, just the same magnitude of energy.
--
73, Cecil, w5dxp.com

Richard Fry June 11th 10 11:07 AM

Where does it go? (mismatched power)
 
On Jun 9, 2:44*pm, Roy Lewallen wrote:

Consider a 100 watt transmitter connected to a 50 ohm dummy load or
antenna via a half wavelength of 50 ohm lossless transmission line.
...
(clipped)
...
Ok so far? Now replace the transmission line with one having
200 ohm impedance.

The transmitter sees an impedance of 50 ohms resistive.
The transmitter delivers 100 watts to the transmission line.
The transmission line delivers 100 watts to the load.
The load dissipates 100 watts.
The VSWR on the line is 4:1.
The "forward power" in the transmission line is 156.25 watts.
The "reverse power" in the transmission line is 56.25 watts.


Could you or someone please post the same analysis when the electrical
length of the 200 ohm transmission line is 1/4-wave rather than 1/2-
wave, including the physical locations/components where r-f output
power is dissipated?

RF

K1TTT June 11th 10 11:45 AM

Where does it go? (mismatched power)
 
On Jun 9, 10:38*pm, Jim Lux wrote:

In fact, the ration between that stored energy and the amount flowing
"through" (i.e. radiated away) is related to the directivity of the
antenna: high directivity antennas have high stored energy (large
magnetic and electric fields): *the ratio of stored to radiated energy
is "antenna Q" (analogous to the stored energy in a LC circuit leading
to resonant rise).

So, high directivity = high stored energy = high circulating energy =
high I2R losses.


this is a relationship i haven't heard of before... and would be very
wary of stating so simply. it may be true for a specific type of
antenna, MAYBE Yagi's, MAYBE rhombics or or close coupled wire arrays,
but some of the most directive antennas are parabolic dishes which i
would expect to have very low Q and extremely low losses. you could
also have an antenna with very high Q, very high i^2r losses, but very
low directivity, so i would be careful about drawing a direct link
between the two.

Owen Duffy June 11th 10 12:16 PM

Where does it go? (mismatched power)
 
Richard Fry wrote in news:32a66fcc-a742-45c6-bdf1-
:
....

Could you or someone please post the same analysis when the electrical
length of the 200 ohm transmission line is 1/4-wave rather than 1/2-
wave, including the physical locations/components where r-f output
power is dissipated?


Well Richard, since the example discussion implies lossless line, you
know that zero power is dissipated in line losses.

Assuming that you are talking steady state...

If literally, you changed the line length in Roy's example to an
electrical quarter wave, then the transmitter will see a load impedance
of 800+j0, and it will develop exactly the same power in the actual load
(quarter wave 200 ohm line+50+j0 load) as it would in a 800 ohm resistor
connected to its output terminals. Since the line is lossless, 100% of
the actual transmitter output power is absorbed by the load, dissipated
if the load was a resistor. If you were to plot the instantaneous power
at the transmitter output terminals vs time, it would always be positive,
ie there would not be a reactive component.

The transmitter output power is probably different to that developed in a
50+j0 load for several reasons, but there is not enough information to
determine that output power.

Of course, a practical line has line loss, and the heat generated under
standing waves varies along the line (ie W/m is not constant), and the
impedance seen by the transmitter will be a little different (including
being reactive) due to the fact that Zo is not real, the VSWR is not 4,
and effects of line attenuation, so actual transmitter power may be a
little different.

Owen

Richard Fry June 11th 10 12:32 PM

Where does it go? (mismatched power)
 
On Jun 11, 6:16*am, Owen Duffy wrote:

... The transmitter output power is probably different ...


Thank you, Owen.

Do your comments apply to a transmitter designed/adjusted for, and
expecting a 50 + j 0 ohm load?

IOW, if the net output power of such a transmitter (which equals that
dissipated in the load) probably is different with such a mismatch, do
you expect the reason for that to be related to "reflected power?"

RF

K1TTT June 11th 10 03:13 PM

Where does it go? (mismatched power)
 
On Jun 11, 11:32*am, Richard Fry wrote:
On Jun 11, 6:16*am, Owen Duffy wrote:

*... The transmitter output power is probably different ...


Thank you, Owen.

Do your comments apply to a transmitter designed/adjusted for, and
expecting a 50 + j 0 ohm load?

IOW, if the net output power of such a transmitter (which equals that
dissipated in the load) probably is different with such a mismatch, do
you expect the reason for that to be related to "reflected power?"

RF


NO! NO! NO! the difference is not due to 'reflected power'... any
difference is due to the impedance change seen by the transmitter at
its terminals.

A VERY important method of analyzing sinusoidal steady state response
of a system like a transmission line with a load on the end takes the
load impedance and transforms it using the transmission line equations
(with or without loss) back to the source terminals and then replacing
it with an equivalent impedance. as long as the load is constant and
linear this is a well known and easily proved substitution. you can
then solve for conditions seen by the source ignoring the length of
the line and load and using only a lumped impedance, therefore any
reflected wave is irrelevant when analyzing the response of the
source.


Richard Fry June 11th 10 03:34 PM

Where does it go? (mismatched power)
 
On Jun 11, 9:13*am, K1TTT wrote:

NO! NO! NO! *the difference is not due to 'reflected power'... any
difference is due to the impedance change seen by the transmitter
at its terminals.


If the "forward" power that can be generated by a transmitter is
dependent on the degree of match of the output load to the load
specified for that transmitter, would that not mean that there would
be little/no risk of damage to the transmitter if it was operated into
a load with ~infinite SWR relative to the load it expects, such as a
short or open directly at its r-f output connector?

RF

K1TTT June 11th 10 03:38 PM

Where does it go? (mismatched power)
 
On Jun 11, 10:45*am, K1TTT wrote:
On Jun 9, 10:38*pm, Jim Lux wrote:



In fact, the ration between that stored energy and the amount flowing
"through" (i.e. radiated away) is related to the directivity of the
antenna: high directivity antennas have high stored energy (large
magnetic and electric fields): *the ratio of stored to radiated energy
is "antenna Q" (analogous to the stored energy in a LC circuit leading
to resonant rise).


So, high directivity = high stored energy = high circulating energy =
high I2R losses.


this is a relationship i haven't heard of before... and would be very
wary of stating so simply. *it may be true for a specific type of
antenna, MAYBE Yagi's, MAYBE rhombics or or close coupled wire arrays,
but some of the most directive antennas are parabolic dishes which i
would expect to have very low Q and extremely low losses. *you could
also have an antenna with very high Q, very high i^2r losses, but very
low directivity, so i would be careful about drawing a direct link
between the two.


and yes, this does work for complex loads and multiple stubs and
connections to the line.

this is a reasonable description of the derivation of these
techniques, study especially the Thevenin equivalent impedance
representation on page 2-13 and how it is applied:
http://ee.sharif.edu/~comcir/readings/tran%20line.pdf



Cecil Moore June 11th 10 04:03 PM

Where does it go? (mismatched power)
 
On Jun 11, 9:13*am, K1TTT wrote:
NO! NO! NO! *the difference is not due to 'reflected power'... any
difference is due to the impedance change seen by the transmitter at
its terminals.


Please let's be careful to give all the details. The *virtual*
impedance, the ratio of Vtotal/Itotal, seen by the transmitter at its
terminals is:

Z = Vtotal/Itotal = (Vfor + Vref)/(Ifor + Iref)

where all math is phasor (vector) math. Vref and Iref are components
of the reflected wave. So the mismatch is certainly related to the
magnitude and phase of the reflected wave. If the Z0 of the
transmission line is the impedance for which the transmitter was
designed, we can go as far as to say that the reflected wave causes
the mismatch, the virtual impedance that deviates from the Z0 of the
line. Before the reflected wave arrives back at the transmitter, the
transmitter sees the Z0 of the transmission line. The mismatch
develops when the reflected wave arrives.
--
73, Cecil, w5dxp.com

K1TTT June 11th 10 04:36 PM

Where does it go? (mismatched power)
 
On Jun 11, 3:03*pm, Cecil Moore wrote:
On Jun 11, 9:13*am, K1TTT wrote:

NO! NO! NO! *the difference is not due to 'reflected power'... any
difference is due to the impedance change seen by the transmitter at
its terminals.


Please let's be careful to give all the details. The *virtual*
impedance, the ratio of Vtotal/Itotal, seen by the transmitter at its
terminals is:

Z = Vtotal/Itotal = (Vfor + Vref)/(Ifor + Iref)

where all math is phasor (vector) math. Vref and Iref are components
of the reflected wave. So the mismatch is certainly related to the
magnitude and phase of the reflected wave. If the Z0 of the
transmission line is the impedance for which the transmitter was
designed, we can go as far as to say that the reflected wave causes
the mismatch, the virtual impedance that deviates from the Z0 of the
line. Before the reflected wave arrives back at the transmitter, the
transmitter sees the Z0 of the transmission line. The mismatch
develops when the reflected wave arrives.
--
73, Cecil, w5dxp.com


i wouldn't call it a 'virtual' impedance, it is a very real impedance.
it is the steady state impedance seen by the transmitter at its output
terminals. once the transient response rings down the waves in the
line beyond the terminals are irrelevant and the constant impedance
can be used to calculate the voltage, current, and power in the
source. in the steady state (which except in special cases is
entirely adequate for amateur use) the mechanism of generating that
impedance is irrelevant, waves or not it can be represented by a
constant value and the source won't know the difference.

Cecil Moore June 11th 10 05:18 PM

Where does it go? (mismatched power)
 
On Jun 11, 10:36*am, K1TTT wrote:
i wouldn't call it a 'virtual' impedance, it is a very real impedance.


Yes, it meets the (B) non-dissipative definition of impedance from
"The IEEE Dictionary". It doesn't meet the (A) dissipative definition
and it is not an impedor as it only exists as a V/I ratio. That's why
I call it a virtual impedance. There is no resistor, there is no
inductor, and there is no capacitor. There is only a V/I ratio caused
by something else.

it is the steady state impedance seen by the transmitter at its output
terminals. *


And it is a V/I ratio caused by the superposition of the forward wave
and reflected wave, i.e. it would NOT be the same impedance without
the reflected wave. That fact of physics is undeniable.

When we have an actual impedor, i.e. a resistor plus an inductor or a
capacitor, the voltage/current ratio is caused by the impedor. When we
have a virtual impedance, the cause/effect procedure is reversed and
the impedance is caused by the voltage/current ratio which may (or may
not) contain both forward and reflected values.

For the two definitions of impedance, (A) and (B), given in "The IEEE
Dictionary", cause and effect are reversed.

Let's take an example. Assume a 50 ohm load resistor fed with 1/2WL of
300 ohm lossless line. If we assume a 100 watt (50 ohm) source, the
forward power will be 204 watts and the reflected power will be 104
watts.

100w Source----1/2WL 300 ohm feedline----50 ohm load

In the feedline, a forward power of 204 watts is a forward voltage of
247.3 volts and a forward current of 0.825 amps.

In the feedline, a reflected power of 104 watts is a reflected voltage
of 176.6 volts and a reflected current of 0.589 amps.

The reflected voltage is 180 degrees out of phase with the forward
voltage at the transmitter, so the superposed voltage at the
transmitter is 70.7 volts. The reflected current is in phase with the
forward current at the transmitter so the superposed current is 1.414
amps. Since everything is either in phase or 180 degrees out of phase,
phasor addition is not needed. So I repeat, the impedance seen by the
transmitter is:

Z = (Vfor - Vref)/(Ifor + Iref)

Z = (247.3 - 176.6)/(0.825 + 0.589)

Z = 70.7/1.414 = 50 ohms, NON-DISSIPATIVE!

It is clear that the superposition of the forward wave with the
reflected wave is the CAUSE of the 50 ohm impedance. That particular
impedance cannot exist without the effects of the reflected wave.

Using a math model for answers to problems for so long that one comes
to believe that the model dictates reality is a major contributor to
the myths and old wives' tales that exist in amateur radio today. It's
time to get back to the basics even if it causes a few old rusty
brains to be put in gear for the first time in decades.
--
73, Cecil, w5dxp.com


Roy Lewallen June 11th 10 06:09 PM

Where does it go? (mismatched power)
 
Richard Fry wrote:
On Jun 11, 6:16 am, Owen Duffy wrote:

... The transmitter output power is probably different ...


Thank you, Owen.

Do your comments apply to a transmitter designed/adjusted for, and
expecting a 50 + j 0 ohm load?

IOW, if the net output power of such a transmitter (which equals that
dissipated in the load) probably is different with such a mismatch, do
you expect the reason for that to be related to "reflected power?"

RF


We've had this discussion many times before, but with no apparent change
in your perceptions of the nature of "reflected power".

But why would you expect the "reflected power" to have a different
effect when the transmission line is a quarter wavelength than when it's
a half wavelength? Can you write an equation giving the supposed
dissipation caused by "reflected power" as a function of transmission
line length?

Roy Lewallen, W7EL

K1TTT June 11th 10 06:28 PM

Where does it go? (mismatched power)
 
On Jun 11, 4:18*pm, Cecil Moore wrote:
On Jun 11, 10:36*am, K1TTT wrote:

i wouldn't call it a 'virtual' impedance, it is a very real impedance.


Yes, it meets the (B) non-dissipative definition of impedance from
"The IEEE Dictionary". It doesn't meet the (A) dissipative definition
and it is not an impedor as it only exists as a V/I ratio. That's why
I call it a virtual impedance. There is no resistor, there is no


and that is part of the problem in here... 'you call it'. what is the
definition of 'virtual impedance' in the ieee dictionary?

Richard Fry June 11th 10 06:29 PM

Where does it go? (mismatched power)
 
On Jun 11, 12:09*pm, Roy Lewallen wrote:

But why would you expect the "reflected power" to have a different
effect when the transmission line is a quarter wavelength than when it's
a half wavelength?


If reflected power is fictitious, and the number wavelengths of
transmission line of any random impedance compared to the load
connected to it makes no difference in the load seen by the
transmitter, the output power produced by the transmitter, and the
power dissipated in the far-end termination, then what is the reason
you chose a 1/2 wavelength of transmission line in your quoted post?

RF

Richard Fry June 11th 10 06:56 PM

Where does it go? (mismatched power)
 
On Jun 11, 12:29*pm, Richard Fry wrote:

If reflected power is fictitious, etc


Followup: Those denying the existence of reflected signals within an
antenna system may wish to view the measurement of such signals, at
the link below.

http://i62.photobucket.com/albums/h8...easurement.gif

RF

Cecil Moore June 11th 10 08:01 PM

Where does it go? (mismatched power)
 
On Jun 11, 12:09*pm, Roy Lewallen wrote:
But why would you expect the "reflected power" to have a different
effect when the transmission line is a quarter wavelength than when it's
a half wavelength?


Good Grief! Because the interference has the opposite result between
the two examples?
--
73, Cecil, w5dxp.com

Cecil Moore June 11th 10 08:19 PM

Where does it go? (mismatched power)
 
On Jun 11, 12:28*pm, K1TTT wrote:
and that is part of the problem in here... 'you call it'. *what is the
definition of 'virtual impedance' in the ieee dictionary?


"The IEEE Dictionary" has no such definition. Those are my words
adopted from "Reflections", by Walter Maxwell, and designed to
differentiate between the (A) and (B) definitions of "impedance" in
"The IEEE Dictionary". Calling the V/I (B) definition of impedance,
"virtual", is much more descriptive than calling it "the (B)
definition".

Walt is arguing that the impedance of an RF source is "non-
dissipative". Ratios of V/I are non-dissipative if they exist devoid
of an impedor. Walt adopted the word "virtual" from the optics
"virtual image". It is an image that is not really there in reality. A
virtual impedance would therefore be the image of an impedor that is
not really there.

I'm not hung up on the word "virtual". What adjective would you use to
differentiate between a dissipative impedor and a V/I non-dissipative
impedance? I am not trying to be difficult - just trying to
communicate. I'm willing to adopt any convention that you suggest for
the duration of this discussion.
--
73, Cecil, w5dxp.com

Cecil Moore June 11th 10 08:27 PM

Where does it go? (mismatched power)
 
On Jun 11, 12:56*pm, Richard Fry wrote:
Followup: *Those denying the existence of reflected signals within an
antenna system may wish to view the measurement of such signals, at
the link below.


Or at this link. Scroll down to "Using Dielectric Beamsplitters to
find the "missing energy" in destructive interference".

http://www.teachspin.com/instruments...eriments.shtml

I guarantee that every optical physicist who is reading this thread is
laughing at the ignorance of the alleged RF gurus.
--
73, Cecil, w5dxp.com

Richard Fry June 11th 10 09:08 PM

Where does it go? (mismatched power)
 
On Jun 11, 12:09*pm, Roy Lewallen wrote:

Can you write an equation giving the supposed dissipation caused
by "reflected power" as a function of transmission line length?


I'll just quote the following from Chapter 24-11 of REFERENCE DATA FOR
RADIO ENGINEERS, 1975 Edition:

QUOTE
A load of 0.4-j2000 ohms is fed through a length of RG-218/U cable at
a frequency of 2.0 MHz. What are the input impedance and efficiency
for a 24-foot length and a 124-foot length?

(Omitting the number crunching shown...)

Tabulating the results,

Input
Length Impedance Efficiency Loss
(feet) (ohms) ( % ) ( dB )

24 0.106-j95 1.1 19.6
124 1.8+j55 0.03 35

The considerably greater loss for 124 feet compared with 24 feet is
because the transmission passes through a current maximum, where the
loss per unit length is much higher than at the current minimum.
END QUOTE

As the input Z for each of these lengths is not the same as their 0.4-
j2000 ohm termination, this shows the dependence of the performance of
such systems on the electrical lengths of the transmission line in
use.

I realize we have strayed into the real world here, because RG-218/U
transmission line is not lossless even when perfectly matched at both
ends.

RF

Owen Duffy June 11th 10 09:31 PM

Where does it go? (mismatched power)
 
Richard Fry wrote in news:908e1320-965a-4e11-b02b-
:

On Jun 11, 6:16*am, Owen Duffy wrote:

... The transmitter output power is probably different ...


Thank you, Owen.

Do your comments apply to a transmitter designed/adjusted for, and
expecting a 50 + j 0 ohm load?


In answer to the question you directly asked, yes. But that says nothing
of whether such a transmitter, in the general case, is well represented
by a Thevenin equivalent circuit with Zeq=50+j0.

As you know, there is a proposition that a transmitter "designed/adjusted
for, and expecting a 50 + j 0 ohm load" can be well represented by a
Thevenin equivalent circuit and naturally has Zeq=50+j0. However, that
proposition is easily proven wrong by valid experiments in the real
world, and those of us who have done such experiments are disinclined to
accept the proposition.


IOW, if the net output power of such a transmitter (which equals that
dissipated in the load) probably is different with such a mismatch, do
you expect the reason for that to be related to "reflected power?"


Average power at the transmitter terminals is given by the average value
of the instantaneous product of v and i over time. There is no need for
"net" in the calculation. The average power delivered by the transmitter
will depend on the load impedance (ie the complex ratio of v/i) at its
load terminals, but that dependence is not well predicted in the general
case by a Thevenin equivalent circuit.

I gave a link to a simple experiment to test Zeq of a tx, and that uses
equipment found in most ham shacks. The article is at
http://vk1od.net/blog/?p=1028 .

Owen

Owen Duffy June 11th 10 09:57 PM

Where does it go? (mismatched power)
 
Richard Fry wrote in news:510d2db0-df70-4433-a216-
:

On Jun 11, 12:09*pm, Roy Lewallen wrote:

Can you write an equation giving the supposed dissipation caused
by "reflected power" as a function of transmission line length?


I'll just quote the following from Chapter 24-11 of REFERENCE DATA FOR
RADIO ENGINEERS, 1975 Edition:

QUOTE

....
The considerably greater loss for 124 feet compared with 24 feet is
because the transmission passes through a current maximum, where the
loss per unit length is much higher than at the current minimum.
END QUOTE


The author acknowledges that loss under standing waves is not uniform,
that in this case, it is higher in the region of a current maximum. That
is simply explained the I^R effects on the conductors (which account for
most of the loss in most practical coax cables at that frequency).

If you treated the forward and reflected waves as travelling
independently, and each attenuated by the matched line loss
characteristic of the line, you would get a different (and incorrect)
result. It happens that we sometimes make that approximation, and under
many practical scenarious, it gives a result with acceptable error, it is
nevertheless less accurate because the model is poorer.


As the input Z for each of these lengths is not the same as their 0.4-
j2000 ohm termination, this shows the dependence of the performance of
such systems on the electrical lengths of the transmission line in
use.


Yes, it does, and not simply on the VSWR as often inferred.

But that does not change the transmitter's behaviour in its output power
being sensitive the the impedance at its load terminals, however that
impedance is derived, and your response has not answered Roy's question,
well at least in my mind.


I realize we have strayed into the real world here, because RG-218/U
transmission line is not lossless even when perfectly matched at both
ends.


Indeed, under some circumstances, the line can have less loss when not
perfectly matched. Yes, throw those treasured graphs of ExtraLoss vs VSWR
away, they depend on assumptions not usually stated.

Cases similar to the example you quoted can be solved using TLLC at
http://www.vk1od.net/calc/tl/tllc.php . An interesting case is to explore
the loss in 1m of RG58C/U at 3.6MHz with 50+j0, 500+j0, and 5+j0 loads.
The latter two are VSWR=10, but have quite different loss. The first two
cases demonstrate that VSWR does not necessarily cause extra loss
(compared to the matched line case).

Owen

K1TTT June 11th 10 10:29 PM

Where does it go? (mismatched power)
 
On Jun 11, 7:19*pm, Cecil Moore wrote:
On Jun 11, 12:28*pm, K1TTT wrote:

and that is part of the problem in here... 'you call it'. *what is the
definition of 'virtual impedance' in the ieee dictionary?


"The IEEE Dictionary" has no such definition. Those are my words
adopted from "Reflections", by Walter Maxwell, and designed to
differentiate between the (A) and (B) definitions of "impedance" in
"The IEEE Dictionary". Calling the V/I (B) definition of impedance,
"virtual", is much more descriptive than calling it "the (B)
definition".

Walt is arguing that the impedance of an RF source is "non-
dissipative". Ratios of V/I are non-dissipative if they exist devoid
of an impedor. Walt adopted the word "virtual" from the optics
"virtual image". It is an image that is not really there in reality. A
virtual impedance would therefore be the image of an impedor that is
not really there.


what is an 'impedor' in this context? that is a relatively rarely
used term in circuit and wave analysis, but is generically defined as
anything that has an impedance. that doesn't seem to fit your
definition though if you can qualify an impedance as non-dissipative
if they don't have one.


I'm not hung up on the word "virtual". What adjective would you use to
differentiate between a dissipative impedor and a V/I non-dissipative
impedance? I am not trying to be difficult - just trying to
communicate. I'm willing to adopt any convention that you suggest for
the duration of this discussion.


the ieee dictionary qualifiers of dissipative and non-dissipative seem
adequate to me. no need to make up any other terms or qualifiers.

Cecil Moore June 11th 10 10:49 PM

Where does it go? (mismatched power)
 
On Jun 11, 4:29*pm, K1TTT wrote:
what is an 'impedor' in this context?


Hopefully, the same IEEE Dictionary definition as any other context:
"impedor - a device, the purpose of which is to introduce impedance
into an electric circuit." Note that it has a material existence.

the ieee dictionary qualifiers of dissipative and non-dissipative seem
adequate to me. *no need to make up any other terms or qualifiers.


OK, I will change "virtual impedance" to "non-dissipative impedance"
although if the resistance is zero, that still doesn't solve the
semantic problem. The word "virtual" as used by Walter Maxwell over
the past half-century conveys the meaning as well as any other words,
IMO.

The fact remains that a dissipative impedor is something that exists
in the material world and can cause an outcome. A non-dissipative
impedance is a *result* of a superposed V/I ratio, not a cause of
anything.

Roy once challenged me to detect the difference between a 50 ohm
antenna and a 50 ohm dummy load. I said, "Simple, use a field strength
meter."
--
73, Cecil, w5dxp.com



lu6etj June 11th 10 11:03 PM

Where does it go? (mismatched power)
 
On 11 jun, 16:27, Cecil Moore wrote:
On Jun 11, 12:56*pm, Richard Fry wrote:

Followup: *Those denying the existence of reflected signals within an
antenna system may wish to view the measurement of such signals, at
the link below.


Or at this link. Scroll down to "Using Dielectric Beamsplitters to
find the "missing energy" in destructive interference".

http://www.teachspin.com/instruments...eriments.shtml

I guarantee that every optical physicist who is reading this thread is
laughing at the ignorance of the alleged RF gurus.
--
73, Cecil, w5dxp.com


Hello, here we are...! :)

At the risk of naïve and conciliatory I still thinking that to some
extent this is a problem of "same cat seen from different points of
view".

What if the question is formulated in terms apart, for example =
generator responses to load differences, and by what mechanism a
transmission line transforms impedances to presents to the generator
those different loads?
In that formulation I think there are room to simple, basic, and
understandable electrical laws to account for generator behaviour and
TL travelling waves interference phenomenom to account for Z
transformings.

From my perspective your main differences are reducible

73

Miguel Ghezzi - LU6ETJ

K1TTT June 11th 10 11:14 PM

Where does it go? (mismatched power)
 
On Jun 11, 10:03*pm, lu6etj wrote:
On 11 jun, 16:27, Cecil Moore wrote:

On Jun 11, 12:56*pm, Richard Fry wrote:


Followup: *Those denying the existence of reflected signals within an
antenna system may wish to view the measurement of such signals, at
the link below.


Or at this link. Scroll down to "Using Dielectric Beamsplitters to
find the "missing energy" in destructive interference".


http://www.teachspin.com/instruments...eriments.shtml


I guarantee that every optical physicist who is reading this thread is
laughing at the ignorance of the alleged RF gurus.
--
73, Cecil, w5dxp.com


Hello, here we are...! *:)

At the risk of naïve and conciliatory I still thinking that to some
extent this is a problem of "same cat seen from different points of
view".

What if the question is formulated in terms apart, for example =
generator responses to load differences, and by what mechanism a
transmission line transforms impedances to presents to the generator
those different loads?
In that formulation I think there are room to simple, basic, and
understandable electrical laws to account for generator behaviour and
TL travelling waves interference phenomenom to account for Z
transformings.

From my perspective your main differences are reducible

73

Miguel Ghezzi - LU6ETJ


of course, but that is no fun!

Richard Clark June 12th 10 12:27 AM

Where does it go? (mismatched power)
 
On Fri, 11 Jun 2010 14:29:17 -0700 (PDT), K1TTT
wrote:

you can qualify an impedance as non-dissipative


It's called reactance.

There are certainly some contortions that have evolved from an
argument that the source lacks the ability to dissipate.

Impedance = (R ± jX) Ohm

This is well known by all and yet it seems unsatisfactory and
impossible to measure in a Tube even when R is exhibited both by
measurement and by heat - something that by all normal accounts is
evidence of dissipation. That same heat seems to be unaccountable
because it's non-linear? If you use this heat on an ice cube, do you
get harmonics? Even or odd?

If it doesn't dissipate it must be because it has NOhms. If we embark
further on this mysterious Load Conjugation with a loss-less resistor,
what would we see for the Load Objurgation formula?

rraaZ = (Rr ± iR ± jX) NOhm

We must now have a Nimpedance measured along a second (hither too
unreported) imaginary axis. I can imagine the dawn of the new Photon
Ninterferences that will emerge from this.

KEWEL !

73's
Richard Clark, KB7QHC

Richard Clark June 12th 10 12:41 AM

Where does it go? (mismatched power)
 
On Fri, 11 Jun 2010 20:31:42 GMT, Owen Duffy wrote:

there is a proposition that a transmitter "designed/adjusted
for, and expecting a 50 + j 0 ohm load" can be well represented by a
Thevenin equivalent circuit and naturally has Zeq=50+j0. However, that
proposition is easily proven wrong by valid experiments in the real
world


Using the same transmitter originally "designed/adjusted
for, and expecting a 50 + j 0 ohm load"?

I don't suppose this anecdote has any data behind it, does it?

The easy proof has yet to wrong Walt's proposition - or did he state
something to the contrary my reading that he represented a Thevenin
equivalent circuit in the first two steps of his recent report?

73's
Richard Clark, KB7QHC

Owen Duffy June 12th 10 01:19 AM

Where does it go? (mismatched power)
 
Richard Clark wrote in
:

On Fri, 11 Jun 2010 20:31:42 GMT, Owen Duffy wrote:

....
I don't suppose this anecdote has any data behind it, does it?


I have performed many tests on many radios. One documented example is at
http://vk1od.net/blog/?p=1045 .

The concept is dealt with in more depth at http://vk1od.net/blog/?p=1028
..

Thing is that those supporting the Zeq=50 proposition, declare that since
the test showed that Zeq (or Zs in the article) is not approximately 50
+j0, then the radio isn't "designed/adjusted for, and expecting a 50 + j
0 ohm load".

Thing is that you cannot use the measured VSWR to reasonably predict the
reduction in power output (Mismatch Loss) on many HF ham radio
transceivers.

I invite you and others to perform the same test. You will realise that
one, or even 100 supporting tests do not prove the proposition, but one
valid test to the contrary is damaging.

Owen

K1TTT June 12th 10 01:35 AM

Where does it go? (mismatched power)
 
On Jun 11, 11:27*pm, Richard Clark wrote:
On Fri, 11 Jun 2010 14:29:17 -0700 (PDT), K1TTT
wrote:

you can qualify an impedance as non-dissipative


It's called reactance.


not always. there is a non-dissipative resistance. a lossless
transmission line has a pure real impedance, but no dissipation.

K1TTT June 12th 10 01:41 AM

Where does it go? (mismatched power)
 
On Jun 12, 12:19*am, Owen Duffy wrote:
Richard Clark wrote :



On Fri, 11 Jun 2010 20:31:42 GMT, Owen Duffy wrote:

...
I don't suppose this anecdote has any data behind it, does it?


I have performed many tests on many radios. One documented example is athttp://vk1od.net/blog/?p=1045.

The concept is dealt with in more depth athttp://vk1od.net/blog/?p=1028
.

Thing is that those supporting the Zeq=50 proposition, declare that since
the test showed that Zeq (or Zs in the article) is not approximately 50
+j0, then the radio isn't "designed/adjusted for, and expecting a 50 + j
0 ohm load".

Thing is that you cannot use the measured VSWR to reasonably predict the
reduction in power output (Mismatch Loss) on many HF ham radio
transceivers.

I invite you and others to perform the same test. You will realise that
one, or even 100 supporting tests do not prove the proposition, but one
valid test to the contrary is damaging.

Owen


define "mismatch loss".

and why would you expect that vswr is a good predictor of power
output? other than radios that use vswr sensing circuits to reduce
power output to protect their output transistors?

and why would anyone expect the output of an rf amplifier to be linear
except in a narrow range of selected loads and tuning conditions?
thats just plain crazy!

Owen Duffy June 12th 10 02:01 AM

Where does it go? (mismatched power)
 
K1TTT wrote in
:


define "mismatch loss".


Mismatch loss is the reduction in power available in a mismatched load
compared to a matched load. Mismatch Loss can be calculated in linear
systems with Zs purely real as 1-rho^2. I wrote some notes at
http://vk1od.net/blog/?p=659 which discusses the underlying assumptions.


and why would you expect that vswr is a good predictor of power
output? other than radios that use vswr sensing circuits to reduce
power output to protect their output transistors?


The concept of Mismatch Loss is a sound one, but application to a typical
ham transmitter is flawed because the underlying assumptions are violated
..


and why would anyone expect the output of an rf amplifier to be linear
except in a narrow range of selected loads and tuning conditions?
thats just plain crazy!


Yes.

Owen


Cecil Moore June 12th 10 03:26 AM

Where does it go? (mismatched power)
 
On Jun 11, 5:03*pm, lu6etj wrote:
From my perspective your main differences are reducible


The basic argument revolves around what math shortcuts can be used to
solve a particular problem vs what is actually happening in reality
according to the accepted laws of physics. I agree one doesn't
necessarily need to understand the laws of physics to solve a problem
but one should probably know enough physics to recognize when those
laws of physics are being violated by one's argument.
--
73, Cecil, w5dxp.com

lu6etj June 12th 10 05:24 AM

Where does it go? (mismatched power)
 
On 11 jun, 23:26, Cecil Moore wrote:
On Jun 11, 5:03*pm, lu6etj wrote:

From my perspective your main differences are reducible


The basic argument revolves around what math shortcuts can be used to
solve a particular problem vs what is actually happening in reality
according to the accepted laws of physics. I agree one doesn't
necessarily need to understand the laws of physics to solve a problem
but one should probably know enough physics to recognize when those
laws of physics are being violated by one's argument.
--
73, Cecil, w5dxp.com

............
of course, but that is no fun!

I agree :D :D
......
As a courtesy to me, a foreigner tourist ham, would you mind stop for
a brief moment your more general differences and tell me if you agree
on the behavior of a Thevenin generator with a series resistance of 50
ohms in relation to changes in impedance of a lossless TL predicted by
the Telegrapher's equations solutions in terms of the power dissipated
on the load resistance and series resistence of Thevenin source?
I am pretty serious about this: until today I could not know if you
agree in that!! :)


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