LOAD
MATCHING 1
SINGLE 6550 TRIODE OPERATION.
The
use of
the 6550 beam tetrode as a single triode can
make
a superlative amplifier. My pages on the use of beam tetrodes
give much information on the load matching outcomes from using the 6550
as a single amplifying device but many people would prefer to use a multi grid output
tube as a triode by connecting the screen grid to the anode.
In fact most people will want to use the 6550 in triode mode for an SE
( single ended ) amplifier rather than use the 6550
in beam tetrode mode, or have a quad of them in parallel to make enough
pure
class A1 power.
This page
has the following content :-
* Fig1.
Anode resistance curves for GE6550A in triode from the 1950s.
Explanations of how the curves were obtained and what the curves mean.
* Fig 2. Schematic for testing
power triodes.
Triode voltage generator model is included in explanations.
* Fig 3.
GE6550 triode curves with 2.5k RL and tangent to calculate Ra,
µ and gm for any chosen working point.
Explanation of what load lines are.
How to plot them
graphically to read the graphs for gain, calculate power output, and 2H
distortion.
* Fig 4.
Measured power output vs distortion for 3 load values used with EH6550
in triode.
* Fig 5. Measured
power output vs distortion for 3 load values used with GE6550A
in triode.
* Fig 6. Measured
power output vs distortion for 3 load values used with KT88jj Tesla in
triode.
* Fig 7. Measured
power output vs distortion for 3 load values used with KT90EH
in triode.
* Fig 8. My
corrected Ra curves for EH6550 in triode with 3 values of RL plotted.
Comments on loads recommended for EH6550 in triode.
* Fig 9. My anode curves for
EH6550 in triode with no load lines so you
can download them for use.
* Fig 10. Ra
curves for 300B measured after 1990 with 4.5k loadline details.
Comparison of THD with beam tetrodes strapped as triodes.
* Fig 11. Ra curves for trioded
GE6550 measured after 1990 with 4.5k
load line details.
List of conclusions about beam tetrodes used as SE triodes.
* Fig
12. Intermodulation test rig schematic for measurement.
* Fig 13. Measuring the
intermodulation distortion using an
oscilliscope wave form.
Comments about THD and IMD significance.
---------------------------------------------------------------------------------------------
Fig1.

This set of
anode resistance curves is taken from a scan of an ancient GE data
sheet and tidied up in MS Paint.
The positions of the curves have been carefully preserved.
To be able
to establish these curves in the 1950s a curve plotter machine was used
to draw the curves on paper
while someone worked a calibrated analog electronic circuit for testing
the tubes.
Another way it may have been done was by photographing an oscilliscope
screen and making a black ink on white paper
drawing by tracing over the photo. All these methods were prone to
errors, but despite errors there was enough information in the curves
to design any circuit using the tube.
The process
of viewing the curves shown required that the tube be set up in a test
circuit with its cathode grounded,
and its anode taken to a ac signal source of low source impedance less
than 50ohms, with a 10 ohm current sensing
resistance. Current wave forms and applied anode voltages are fed to a
dual trace oscilliscope.
The oscilliscope is capable of X-Y function and transfer curve
for Ea vs Ia is displayed as a curve as plotted above.
The grid of the tube under test has a range of fixed bias voltages
applied while the anode has a large ac voltage swing applied
of up to say 800V peak for many output tubes. There is a separate curve
generated for each Eg value.
Each curve represents the dynamic anode resistance known as Ra, for the
tube.
Each Ra line
is a curve rather than a straight line. This is because where you
change the Ea, the Ia changes non linearly
so that Ia = a constant x cube root of Ea squared. To fully understand
electrostatic behaviour in tubes one has to study
the old books from the 1920s and 1930s, and read up on Child's Law.
Today hardly
anyone can buy a tube electronic curve tracing circuit because of the
high voltages involved and lack of demand.
But a few have succeded in using a PC to very easily create a ditital
file of the curves which can be printed out,
there are some programs available now which automatically plot
loadlines across the tube
characteristic curves and calculate
the distortions.
Considering
the Ra line in the above set of curves for Eg = 0V, when Ea is raised
to 100V, Ia = 100mA, and when Ea is further increased to 200V, Ia rises
to 275mA, so the rate of Ia increase isn't linear with applied Ea. Ra
varies as explained above but we really only want to know Ra at one
very small range of Ea variations where Ra won't vary much.
All resistances can be measured in ohms from Ohm's Law where R = E / I.
The Ra is the dynamic output
resistance of the tube and has no strict relationship to the
quiescent fixed
operating Ea divided by the
fixed idle supply current. So because a typical operating point could
be with Ia = 100mA, and Ea = 330V, it does not mean Ra = 330 / 0.1A, or
3,300 ohms. The DC operation of the tube should be considered
separately to the ac operation.
The equivalant ac model of a triode
can be considered a voltage
generator
which has an extremely low source resistance for its output signal
voltage which is the
product of the amplification factor, µ, multiplied by input
voltage between grid and cathode. There is then a model resistor
between the voltage
gene output and the anode terminal. This resistor is the Ra, or anode
resistance or impedance as it is known. Every amplifying device has its
own particular value of "generator resistance"
or "source resistance" or "anode impedance". Even the mains power
supply at the wall has source impedance.
The mains
supply can be considered to be two elements. The first is a perefct
240Vrms supply with zero output resistance so that any load connected
will not affect the voltage. The second is some amount of resistance in
series bnetween the perfect
voltage supply and the wall sockets in your house. The voltage at the
wall socket will change depending on whether you plug a lamp in which
draws little current, or a 2 kilowatt heater because of the copper wire
resistance between your appliances and the perfect voltage supply away
from your house. The source resistance in ohms can be measured by
dividing the voltage change by the current change which occurs for two
different known load values. The mains source resistance or a triode's
ac anode resistance can simply be measured by recording the voltage
change between the unloaded condition and the loaded condition and
generator resistance Rg = Vchange / I change.
Suppose a
room heater is rated for 2,400 watts. With 240Vrms the current is 10
amps rms.
The
resistance of the heater = V / I = 240 / 10 = 24 ohms. Suppose the
voltage drop when the heater is turned on is 10Vrms. The
resistance at the connection point and measurement point of the room
heater is thus 10V / 10A = 1 ohm.
This resistance includes the wall wiring and wires to the supply pole
and back to the generator and all the
other users also connected across the the supply.
Power = I squared x Resistance so where the wire resistance = 1 ohm,
there will be a power loss
in that wire = 10 x 10 x 1ohm = 100 watts. This explains why heat is
generated in the leads to appliances.
In a triode
in a test circuit with a large value choke the load can be made to be
such a high value that it is a negligible load.
With a choke of 20H, at 1kHz the choke ac impedance will be F x 6.28 x
L = 1,000 x 6.28 x 20 = 125,600ohms,
and well above any value which will seriosly affect the measurement
of most power triodes.
So when such a choke is connected there is little anode signal current
and the amplification we see is at its maximum
value which is µ, or the amplification factor, since no voltage
drop is occuring across the internal generator resistance
of the triode.
Here is a
schematic of my power tube test rig which includes the triode
shown as an "imaginery voltage generator"
with a series resistance to represent the dynamic anode resistance of
the tube....
Fig 2.

This actual schematic was used for load testing in Fig 8 below.
It includes the dc set up for the triode, the cathode biasing,
and the triode is shown modelled as a voltage generator with a series
resistance of the value of Ra also calculated below.
The ac voltage shown at the voltage gene output does not actually
appear anywhere really; it is an imaginery signal
created for modelling purposes. But while Vg stays at 29.63Vrms, the
voltage at the gene output will always
be 217.57Vrms for the model. if we had 3k for the anode load, there
would be a circuit from the voltage gene
to 0V with Ra of 837ohms V in series with 3k, so the signal Ia = 217.57
/ 3,837 ohms = 57mA, so the signal at the 3k load, ie, anode output
voltage = 0.057 x 3,000 = 170Vrms. The coupling capacitor C2 has an
impedance of only 3.2 ohms at 1 kHz.
This test circuit is called a "parafeed" circuit and is actually used
for some SET amps where there is a non gapped normal
ac output transformer located in the place of R2 anode load.
Now let us look
at some lines plotted on the above curves for the GE6550A....
Fig 3.

These curves are the same as for Fig 1 above.
Let us find
out what is the anode resistance, Ra, for this tube.
We have decided to try to use the quiescent idle condition of Ea =
330V, Ia = 100mA which gives
a combined anode and screen dissipation, Pda, of 33 watts and
about 3/4 of the maximum rated Pda = 42 watts.
We would never set up a triode at the rated maximum Pda because the
tube may only last a short time. The
operating point is called Q, and it is on the Ra curve for Eg = -30V.
The Ra we want to know is for
a tiny swing voltage on the Ra curve so to find out Ra for point Q a
tangent line to the Ra curve is drawn from N to M
using a ruler, or mouse with a line draw facility in an image program.
The Ia difference of N to M read off vertically = 370mA.
The Ea difference of N to M read off horizontally = 560V - 250V = 310V.
The resistance value of any sloped line on the graph is determined
using Ohm's Law, R = E / I.
Ra = E / I = 310V / 0.37A = 837 ohms.
As you can see by the slope of possible tangent lines, Ra could be 1.8k
at Ia = 25mA, and 400 ohms at Ia = 300mA.
The amplification factor, µ, is the voltage gain of the tube
achieved with a load that does not cause any current change.
This over simplifies the idea of µ, but its all I have room for
now. µ is determined by the designer by dimensioning the
inter-electrode distances.
A load where no current change occurs is called a constant current
source. Such a load is easy to provide to the tube and can be a high
value
choke to supply the dc idle current which may have 200,000 ohms of ac
impedance at 1 kHz. A 32 Henry
choke has 200,000 ohms of ac impedance at 1 kHz, and such a load with
say 250vrms applied across it results in only
1.25mA of ac anode current. If you draw the load line for 200k,
it is virtually a horizontal line on the graph.
The constant current source, CCS, could be another tube or
transistor connected in such a way to act as an
"active load" and equivalent to many
megohms of resistance. We would need to then apply an input signal and
measure
the output signal to calculate the voltage gain which in this case be
equal to µ.
But we don't have to do that if the curves are accurately drawn for the
tube. To plot a loadline on the tube curves where
no current change occurs, the line will be a horizontal one at the dc
current level.
So let us look at the horizontal line at Ia =
100mA. This line is intersected by all the Ra curves and the Ea change
caused
by an Eg change can easily be read off.
So for Eg = 0V, Ea = 100V, and for Eg = -60V, Ea = 540V.
Therefore a grid voltage change of -60V gives an anode change of +440V.
The gain = µ = Ea change / Eg change = 440V / -60V = - 7.33. The
sign for µ is accurate, but for general purposes
nobody bothers to worry about it and just refers to µ as a
positive number. But in other gain equations it may be important to
consider µ with the correct -ve sign.
For all tubes, transconductance, gm, in amps per volt, is the
ability of the grid voltage to cause anode current change and
gm = µ / Ra.
In this case gm = 7.33 / 837 = 0.00876A/V = 8.8mA/V
So by working with curves we know the 3 basic parameters for the tube
for the working Q point.
For all tubes,
Signal voltage gain, A, = µ x RL
/ ( RL + Ra ) This is the very useful universally applicable
equation for tube voltage gain.
Now we want to see what outcome we may get with a load resistance. Once
we have an operating point, we can calculate a reasonable "centre
value" for RL for any power triode.
The method to establish the triode load
follows :-
(1) Triode RL = ( Ea
/ Ia ) - Ra.
In this case RL = ( 330 / 0.1 ) - 837 = 2.46k . Let
us round that up to 2.5k. The damping
factor, DF = RL / Ra.
In this case DF = 2,500 / 837 = 2.98, which is fair for a power triode
where we want RL to be at least 2 x Ra.
(2) To draw the line
representing RL = 2,500 ohms, first work out Ea / RL =
330V / 2,500 = 132 mA.
(3) Add Ia quiescent of
100mA, 132 + 100 = 232 mA.
(4) Plot point A on the Ia axis
at 232 mA.
(5) Draw the RL straight line
from A through Q and on to point D if the RL
line will intersect the Ea axis.
I had to extend the axis out to Ea =
580V to get point D.
(6) Check that the line is
correct for RL. Ea = 580V / Ia = 232 mA = 2,500
ohms, OK.
The line A to D crosses the Ra line for Eg = 0V at point B, and for
twice the grid swing at -60V Ra line at point C.
BQC represents the maximum anode voltage changes with 2.5k RL
connected.
(7) Drop vertical lines from B
and C to the Ea axis and read off the Ea
minimum, and Ea maximum. These are at 147V
and 472V. Therefore the -ve anode v swing = 330V - 147V = 183V. The +ve
anode v swing = 472V - 330V = 142V.
(8) Total peak to peak load
swing = 183V + 142V = 325V, so load ac V = 325V
/ 2.82 = 115.2 Vrms.
(9) Power output = ( V x V ) / RL
= ( 115.2 x 115.2 ) / 2,500 = 5.3 watts.
(10) Second harmonic distortion
% = 100 x 0.5 x (
difference in peak +ve and -ve
load swings )
sum of peak load swings
In this case 2H % = 100 x 0.5 x ( 183 - 142 ) / ( 183
+ 142 ) = 6.3%.
The smart people amoung you will notice that the Ra lines for the
GE6550 are not spaced along any horizontal
line at even spaces; the Ra curves tend to crowd closer as you move to
the right side of the graph.
If you measured the +ve and -ve anode swings for -/+ 30V grid
change, you find that with a CCS load at Ia = 100mA
that there is about 2.5% 2H distortion which isn't very
good because many power triodes are capable of
2H less than 0.5% even with a large anode V swing.
So were the curves drawn in 1955 correct? I decided to measure a couple
of slightly used samples of EH6550 to see if there was much difference
between today's Russian made EH6550 and the tubes made all those years
ago in the US.
My test rig circuit has a high value choke to supply DC to the tube,
switched load resistances of 9.7k, 7.2k, 4.5k, 3k, 2k, and 1k
across
the choke. I have switched cathode resistors and a massive cathode
bypass cap to set the bias and a regulated
B+ supply. The basic schematic is in Fig 2 above .There is a low
distortion triode signal amp for grid
signals producing less than 0.5% 2H at 50Vrms.
The test signal from the ultra low THD oscillator is at 1 kHz. The
conditions for the test were Ea = 420V, Ia = 73mA,
Eg = -47V.
Here are three following graph sheets each with the same 3 loads
showing the THD for each load vs output voltage.
I measured samples EH6550, GE6550A, KT88jj, and KT90 :-
Fig 4.

The 2H is lower when no load is connected at < 1.6%. at 235vrms
output. The old GE6550A triode curves
are not correct for the EH6550.
Fig 5.

The sample of GE6550A tested has 2,000 hrs of use and is middle aged,
yet it managed to measure better than EH6550
for a 3k RL, but only slightly worse for 4.5k and 9.7k. Ra and µ
were about the same.
The results indicate that the original GE anode curves are slightly
fictitious.
Fig 6.

This KT88 measures slightly better.....
Fig 7.

The KT90 THD is less than each of the 3 previous tests. Part of the
reason is the slightly higher Ia = 78mA, placing the operating region
further "up the curves" and thus further away from the bottoms of the
curves which swing round to the left
and thus contribute to the distortion. If the Ra lines were straight
lines and all exactly parallel, there would be no distortion,
but amoung the laws of nature there is seldom any linearity.
Here are my corrected Ra curves for EH6550 with load lines plotted
which must be correct because the above
measurements must co-relate with the data curves :-
Fig 8.

You can see that the Ra lines are all spaced more evenly along the
horizontal Ia line for Ia = 50mA.
If we go from Eg1 = 0V to -50V, then from -50V to -100V, we get
Ea variations of 355V and 345V.
2H % = 100 x 5 / 700 = 0.71%. When tested with no load at Ea = 72mA,
the triode gave approximately
1% at 235vrms.
When the actual the Eg grid bias voltage used in a test does not
coincide
with an Eg value for an Ra line, it is more difficult to
accurately calculate the 2H at anode voltage load swings less than
maximum. I found it tedious and confusing. Its faster for me to go out
to my workshop and measure the tube, because then I am certain of the
results.
But if the results fit the curves, then the curves can be handy to use
later for any other amplifier including a push pull type.
I believe the curves above are closer to the real characteristics of
the EH6550 than the GE 6550 are to the curves drawn for it 50 years ago.
If I were to
apply the formula for centre value of RL we get
RL = ( 420 / 0.073 ) - 866 = 4.89k. By measuring Ra with a tangent
line got Ra = 866 ohms for the above working point.
RL could be rounded to 5k.
The output transformer ratio chosen should have the nominal speaker
value matched to the above calculation of RL.
So if we have 6 ohm speakers which are common today,
then the OPT impedance ratio = 5k : 6 ohms.
This is a 833 : 1 Z ratio, ( thus the turn ratio = 28.9 : 1 since
the turn
ratio is the square root of the impedance ratio ) .
The Ra of the output tube is transformed by the OPT impedance ratio so that the Ra
measured at the secondary speaker connection is Ra /
ZR = 866 / 833 = 1 ohm approximately. To this we must add the
winding
resistances, Rw, of both primary and secondary because both appear in
series with the load and secondary load x 7% should be allowed if the
Rw is unknown.
So typically an amp with 6550 would have Rout = 1.0 + 0.42 = 1.42 ohms.
This gives a damping factor of 6 / 1.42 = 4.2.
Bass speaker impedance is usually higher than nominal so usually a
triode without any global NFB will control a bass
speaker quite adequately and sound well.
But cross over networks and the use of 3 way speakers can lead to
speaker impedances falling well below
the nominal value of 6 ohms and perhaps down to say 4 ohms, and the
load match then
approaches the case above where
the 3k load is drawn in place. The damping factor is then much worse,
and
since speakers are designed to work where
Rout from amplifiers < 1 ohm, then the SE triode without global NFB
will
cause a 1db level drop below the 6 ohm level
where load = 4 ohms.
Thus when we add 12dB of global NFB the Ra
seen at the output and the Rw is reduced from 1.42 ohms to
about 0.5 ohms and quite satisfactory. THD is also reduced about 10dB.
Here is a copy of the EH6550 anode curves which readers are free
to download and copy for load matching purposes :-
Fig 9.

How good is the EH6550 in triode compared to the "gold standard" of
power
triodes, the 300B?
I don't have a WE 300B to test but here are some curves I found from
www.audiomatica.com, measured on a Sofia
tube curve tracer during the last few years...
Fig 10.

Notice the Ra curves are only about 7% closer together along the Ia =
50mA level, so that at far left,
between 0V and -15V we a distance about 7% more than between 135V and
-150V.
At Ia = 50mA, we go from Eg1 = 0V to -75V, then from -75V to
-150V, we get
Ea variations of 305V and 295V.
2H % = 100 x 5 / 600 = 0.83% for no load at 50mA.
What other amplifying device produces 212Vrms output at less than 1%
thd without any external loop
of NFB?
With a load of 4.5k plotted on the curves the +ve and -ve anode voltage
swings for -/+75V grid swing
are 268V and 233V, so 2H = 3.5% for 7.0 watts. For 7.0 watts from each
of the 4 beam tubes tested above,
EH6550 gave 4.2%, GE6550 4.6%, KT88jj 3.3%, KT90EH 3.0%. So there
really isn't much difference between the
2H distortion.
Here are Ra curves for GE6550A taken with the same gadgets by
audiomatica, and with my loadline of 4.5k
superimposed to read off the expected power and 2H distortion :-
Fig 11.

Notice the Ra curves are about 22% closer together at the far right
than at the left side along the Ia = 50mA
level.
At Ia = 50mA, we go from Eg1 = 0V to -40, then from -40V to - 80V, we
get
Ea variations of 290V and 270V.
2H % = 100 x 10 / 560 = 1.79% for no load at 50mA.
With a load of 4.5k, the maximum anode voltage swings are 297V and
220V, so
maximum power = 7.5 watts
and 2H = 7.4%.
But my measurements in the graph above for GE6550A, THD vs output
voltage, the THD = 4.9% at 7.5 watts/4.5k.
My conclusions :-
Don't trust all the data curves
you read. Unless the testing method was extremely accurate,
errors of
several % can occur.
Always measure a circuit before
you know the facts about the
distortions.
EH6550 in triode probably do measure
nearly as well as a 300B and could be used to give
the same sonic performance.
KT90EH in triode does measure better
than
EH6550, GE550A, KT88.
All the 4 tested beam tetrodes have Ra
= approximately 850 ohms to 1,100 ohms for the SE triode test
conditions.
I hear all the audiophiles groaning with disbelief, but then there are
also other brands of 6550 such as Svetlana
and some chinese brands which could be as good. The
EH KT90 has a 55 watt Pda rating, it will make a nice
amount of power, and could be run at Pda = 40 watts.
I have a pair of KR audio 300B which have Pda =
65watts, and I expect them to be excellent sounding with measurements
at least as good as the above.
At present I am struggling
to build a couple of 50 watt class A SE amps with a pair of
KR Audio 845 tubes in parallel. These do have nice anode curve data,
but how they actually measure is unknown.
The benefit of using a pair of 845 is the 50 watt ceiling at a nominal
load 4% THD,
using a load with a similar RL / Ra ratio as the case for the 6550
above using 4.5k. At an average level of 1 watt the output voltage will
be 1/7 of the 50 watt level and THD should be about 0.5%. The same 1
watt developed by an 8 watt SET amp would have about 1.4%, as indicated
in my measurements above.
The harmonic distortion is of interest in that we should use the
measurement of it as a guide. There is some interesting reading
in the Radiotron Designer's Handbook, 4th Edition, 1955.
For most tube amps RDH4 says IMD will be several times the value of THD
when tested in the following way.
The
IMD is measured with a bass signal of say 80Hz and a treble signal of 5
kHz which has 1/4 of the amplitude of
the bass signal. When high levels of bass signal occur in a single tube
output stage one half of the sine wave has more gain
than the other due to variations in gm and Ra during the bass wave
cycle. This causes the 5 kHz tone to be amplitude modulated 80 times
per second so that "side band" IMD products exist at 4,920 Hz and 5,080
Hz, and neither are harmoniously related to the 5kHz. If the main THD
product was 3H as with a PP amp, there is a change of gain twice for
each crest of the wave, so the amplitude of the HF wave is varied by
160 times a second, so products exist at 4,840 Hz and 5160Hz.
The test rig to determine IMD is :-
Fig 12.

The high pass filter can be a simple cascaded CRCRCRCRCR type with each
section having a -3dB
pole at 1kHz.
The series sections should allow a 5kHz signal to pass without much
attenuation but at 80Hz the
attenuation will be over 100dB and the ultimate slope of the filter
will ensure rejection of the
80Hz signal or any other low frequencies such as mains related hum
signals.
The cathode ray oscilliscope wave forms will be :-
Fig 13.

Wave form 1 shows a LF and HF signal viewed separately on a dual trace
CRO with their amplitude
set so that the LF wave is 4 times the HF wave.
With both signals present in the amp under test they look like wave
form 2; the HF appears to be "riding on" the larger amplitude LF signal.
Wave form 3 shows the HF signal "envelope" shape where the LF signal
has been filtered away.
If there is any intermodulation distortion the amplitude of the HF
signal wave will be seen to vary at a rate related to the frequency of
the LF wave signal.
The measurements of IMD are usually taken before any part of the
combined wave is clipping.
During actual measurements in a good amp the peak to peak modulation
voltage, a - b, is usually a tiny amount,
and IMD could typically be 3% when the
THD of the bass signal was 1% at
a normal listening level.
This may be dificult to see on a CRO, and difficult to measure by
reading the graticules.
I use a peak detector circuit with a diode plus R&C which converts
the LF rate of amplitude changes of the HF wave form
to a LF signal voltage which can be measured by a millivolt meter or
shown on a second trace on the CRO.
Its the same sort of cirucuit used for detecting AM radio waves but the
RC time constant is such that it
filters the HF away leaving only LF below about 250Hz.
The 80Hz modulation expected is
shown here as a LF wave which is shown drawn of scale to what will
actually be seen on the CRO because
for 1 cycle of 80hz, there really are 62.5 waves of 5kHz sine
waves. The actual LF tone is not critical but about 80
Hz is away from mains related hums, and is also where there is a fair
amount of LF content in music. However, should you be a
perfectionist, then use 30Hz, and this will test the IMD effect of
output transformer saturation at high levels.
The amount of IMD will increase very suddenly when clipping occurs or
output transformer saturation or grid current occurs in the amp.
Intermodulation distortion is generated by the non linearities of the
amp and the artifacts are created by all the
frequencies present, so where hundreds of music frequencies exist as
the same time, there are thousands of harmonic products generated. If
we were to separate the IMD products from the music and play it through
the speakers by itself,
we would here a kind of rustling noise in time with the music. Its not
a nice noise to listen to. All
amplifiers and speakers produce IMD.
As long as the IMD is kept to low enough levels the music will sound
quite clear and
free of perceptible IMD.
IMD is reduced by global NFB along with THD and phase shift.
Triode amplifiers with global loop NFB tend to have less IMD than beam
tetrodes or pentodes with a similar amount of
NFB where the power maximums the amps concerned are equal. So to make
28 watts in SE triode class A,
4 x 6550 strapped as triodes are needed but to make the same 28 watts
in SE class A with tetrodes,
only 2 x 6550 may be required strapped as tetrodes. The triode amp
would sound better.
In the case with an SET single triode with just two test
frequencies, when the triode is conducting more Ia current
during peaks in the current wave for LF, the gm of the tube increases,
thus the smaller amplitude HF signal present
is more greatly amplified during the increase in gm. Similarly when the
Ia reduces in the troughs of the LF Ia waves,
the gm reduces from its value at the zero crossing point. So the HF
wave is not amplified as much and its amplitude reduces.
The wave form3 of the above figure13 can be diplayed on a dual trace
CRO with the bass frequency wave
and the relationship of the bass wave to IMD can be seen clearly if the
IMD level is high enough.
The slight difference in amplitude of the HF wave is actuall as a
result of additional frequencies being created by the
intermodulation phenomena. Those frequencies in the case of a single
ended amp = HF + LF, and HF -LF,
so that for 80Hz and 5,000Hz the addititional intermodulation products
are 5,080Hz and 4,920Hz.
Niether of these additioanl frequencies which are actually present will
sound musical and related to the
fundementals of the LF and HF tones.
In music, many tones are harmonically related so that many of the IMD
products are at a frequency which is
related to the harmonic overtones in instruments, so that where there
are say two string instrument tones with one at F and another at 4F
then IMD products are at 3F and 5F, both of which are at harmonics of
the lower note string of 1F.
But 1F + 8F would give IMD products at 7F and 9F, and either could
sound bad if at high level.
It is possible to filter out these F for viewing/measururing with high
Q filters.
The way our ears react to THD and IMD is a very much argued topic.
It is also possible to use 5kHz and 8kHz as the two test frequencies of
equal amplitude.
The sum and difference products are then at 3kHz and 13kHz, neither of
which is harmonically related to either test F,
and a high Q filters can easily be made to measure either IMD product
to then calculate the IMD %, without the measurement
being muddled by the presence of any harmonic product which would be
the case if tones of 5kHz and 10kHz were used.
In tube amps the worst amounts of IMD are caused by LF modulation of
higher frequencies hence the
use of the standard 4:1 ratio of LF:HF test signals has
been a fair indicator of amplifier performance
for the last 80 years. The reason is that a tube amp tends to suffer
iron caused distortion more as F reduces.
And also because bass frequencies have a much higher amplitude than
mid-treble frequencies.
Push pull amplifiers have 3H as the dominant harmonic and the rate at
which gain changes occur is twice that of the SE amp
where the harmonic is mainly 2H. The PP amp will therefore produce
substantially different spectra of IMD products.
Some may say that PP amps can therefore never sound as well as a SE amp
of the same power
and THD measured level. But usually the PP amp will have perhaps 4
times less thd than the SE amp
because of the 2H current cancelling in the output stage and because
the THD is lower the IMD will also be lower,
thus offsetting the perception that PP IMD is worse sounding than SE
amps.
Many fine sounding amplifiers of the past used very ordinary iron which
promoted IMD generation.
With today's top quality grain oriented silicon steel and with a
sufficient ratio of turns per volt
the tube amp can avoid the problems of the past for even better sound.
At the end of the day, how the music sounds is all that matters.
The lower the IMD, the better the music.
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