Re: Feedback and stability in valve amplifiers
Ian Thompson-Bell wrote:
>
> Ian Iveson wrote:
> > Whilst searching for a 6550 for my circlotron Mk7, I came
> > across this
> >
> > * w w w .normankoren . com /Audio/FeedbackFidelity.html
> >
> > Norman, being a hard-core reproductionist, defected to
> > photography and took a lot of very accurate pictures that
> > you can see on his main pages if you like that kind of
> > thing. His other valve stuff is worth a read.
> >
> > Ian
> >
> >
>
> I know this site well. A pity he took up photography as he was doing
> some good tube work.
>
> Cheers
>
> Ian
I quote all of Norman's talk and my comments are marked with ***.
Introduction
I've seen negative feedback attacked, reviled, denounced, and defamed
for so long I can no longer stand idly by. Feedback may be as stylish as
a ‘63 Dodge Dart,
but it’s a dear friend who’s brought beauty and joy to my life. It may
not be a saint, but we don’t expect Marilyn Monroe to be Mother Theresa,
do we? It’s just
misunderstood— often as much by its supporters as by its detractors. In
the ten years I’ve been designing and building amplifiers I’ve learned
how to bring out its
best while respecting its limitations. The time has come to share that
knowledge.
In his January 1998 Stereophile article "A Future Without Feedback ,"
Martin Colloms asserts that "measurements do not fully describe sound
quality," and goes on
to suggest that "corrective feedback is fundamentally unmusical." He
poses the question, "has anyone explored the implications of negative
feedback for reproduced
sound quality in the absolute sense?" What follows is the results of
such an exploration. We shall describe new measurements that provide
improved insight into the
origins of audio quality, and we shall use these measurements to
determine when and where to apply feedback to best advantage. Although
we will use vacuum tube
circuits as examples, all observations apply equally well to
solid-state. We shall also revisit traditional measurements. One of
them— harmonic distortion at rated
power output— has an unexpected correlation with sound quality.
Sometimes it seems that so much has been written about feedback’s
harmful effects that it’s easy to forget its benefits. Why do engineers
love it? Improved
frequency response, reduced harmonic distortion, better gain control,
increased input impedance (in many circuits), and decreased output
impedance (in circuits with
voltage feedback). So why do audiophiles hate it? Harsh, gritty, grainy,
glaring sound. Reason enough.
Now for the BIG question: Are these qualities intrinsic to negative
feedback or do they arise from its improper application? From my
experience it’s mostly the
latter. Mostly. There are a few places where feedback runs into
unavoidable problems, and it shouldn’t be a big surprise that one of
them is the single-ended vacuum
tube power amplifier. How can we know this? We have an instrument for
looking deep into the heart of amplifiers— an instrument that may be
within your reach this
very moment.
***If only he could be brief, and get on with it!
Computer modeling
The idea of using the computer— the ultimate digital machine— to design
old-fashioned vacuum tube circuits may seem more than a little
incongruous. So it may be,
but in the computer we have powerful tool that wasn’t available in the
glory days of Dynaco, McIntosh, and Marantz; an affordable tool for
anyone interested in
high-end audio, and usable by anyone with modest engineering skill. More
precisely, our tool is a computer program called SPICE— acronym for
Simulation
Program with Integrated Circuit Emphasis, originally developed at the
University of California Berkeley.
SPICE is widely used in industry to prove integrated circuit designs
before they are cast in silicon, where fixing errors is far more costly
than in concrete. There are
several commercial versions of SPICE, all of which start with the
Berkeley algorithms and add user-friendly front-ends and outputs.
Probably the best-known of
them is PSpice from Cadence Design Systems
( * w w w .orcad . com /Product/Analog/analog.asp). A free evaluation
version that can simulate up to fifty parts is
available on CD ROM or can be downloaded from the web. Fifty parts won’t
get you far with semiconductors, but it’s sufficient for the design of
surprisingly
sophisticated vacuum tube circuits. Full versions of PSpice are very
expensive. Another excellent program is Electronics Workbench from
Interactive Image
Technologies (1-800-263-5552; * w w w .interactiv . com ), which comes in
a $299 package (sometimes on sale) that can do some serious simulation.
Each of
these programs has its learning curve, and since I’ve taken the trouble
to learn PSpice, I’m stuck with it. I love it.
I’m not the only one who values SPICE. When I escaped from Silicon
Valley in 1985, I had a neighbor who was developing a version (HSpice)
in his garage. While
I was tinkering with tubes, he was quietly taking over the market for
large-scale integrated circuit simulation. In August 1997 I read that he
had sold his company—
Meta Software— for one hundred and sixty million dollars. (That was
before the dot com boom, when hardware still got some respect.) Can
there be a lesson here?
I suppose we tube lovers must be content to receive our reward in
heavenly sound. None of us will become another Bill Gates. Besides, the
only reproduced sound
he ever hears is digital.
***But wait a sec, you don't have to be Bill Gates to hear "digital
musiic". We all hear it routinely
when we listen to anything with a digitised source somewhere, so 99% of
ppl hear the effects of digital
processing whether they like it or not. 1% listen to vinyl only,
so they get pure analog, but there are plenty of vinyls that would have
sonded far better
had they never been recorded.
Many readers may wonder how well digital simulation can unlock the
secrets of analog electronics. In my experience it can do so
astonishingly well. I never cease to
be amazed by how closely measurements match SPICE simulations.
***Well since measurements are so accurate, and are the Real Thing, then
why simulate at all?
Models and measurements
No matter how strongly you believe that measurements don’t or can’t
correlate with sound quality, you must agree that electrical signals
inside circuits obey the laws
of physics. If a computer program has accurate enough device models, it
will simulate the signals with precision. If you examine the details of
those signals with
enough care, you may begin to find patterns that shed light on sound
quality.
What is wrong with conventional measurements? Two things. The first is
that most of them are made in frequency domain. The real world happens
in time domain.
Frequency domain measurements are derived from a mathematical construct
called the Fourier transform, which is defined for linear systems. When
a system
becomes seriously nonlinear— as an amplifier does when it saturates—
frequency domain measurements their meaning.
***???????????????
Time domain measurements, such as
pictures of clipped sine waves, are needed to tell the real story. The
one time domain measurement frequently seen in equipment reviews is the
10kHz square wave.
This measurement is usually made with a small signal— far from
saturation— and provides the same information as the frequency response
curve. SPICE produces
output in both time and frequency domain.
The second problem is that conventional measurements are taken only at
an amplifier’s external connections: A signal is fed into the input
terminals and measured at
the output terminals. What happens inside the circuit can make the
difference between sonic mediocrity and distinction. With SPICE, you can
probe deep inside of
circuits. I’ve made measurements that would be difficult, expensive, and
time-consuming with hardware instruments; measurements rarely if ever
seen in equipment
reviews; measurements that correlate much more closely with sound
quality than such old standbys as harmonic distortion and frequency
response. We’ve known
for a long time they didn’t hold the secrets.
***The "inside the amp signal" is called the "error signal" because it
contains an an opposite phase of the distortion
at the output which goes on to cancel the open loop distortion and
reduce this to the lower
amount we see when NFB is connected.
***Many people hace a real good look at this signal especially with a
square wave to see just how the amp copes
with trying to rid itself of its distortion.
A program’s performance is only as good as its models— sets of equations
that simulate device behavior— and SPICE does not have built-in models
for vacuum
tubes. External models must be added. For many years tubes were modeled
by the Langmuir-Childs law [1,2], which represents a tube as a
voltage-controlled
current source whose current is proportional to the three-halves power
of the voltage on the controlling elements. This model approximates tube
performance fairly
well in the middle of the operating range, but fails miserably near
cutoff, a region particularly critical to the performance of class AB
push-pull amplifiers. It works
well for calculating frequency response but not for distortion.
*** the non-linear cut off transfer curve doesn't matter much because
all audiophiles using
well made tube amps operate them with enough bias current they rarely
ever move out of class A,
so nothing cuts off.
A new set of models, accurate enough to match experimental tube behavior
in all critical regions, has recently been published [3] and applied to
the design of a
modified Dynaco PAS preamplifier [4] with stunning sonic results. We
shall use the old and new PAS line amplifiers (figures 1 and 2) as
examples of problems and
solutions related to feedback.
To you non-technical readers, I offer an apology. Feedback cannot be
discussed intelligently without getting somewhat technical. I shall try
to keep this exposition as
readable as possible— There will be no heavy formulas, and you may
safely skip over circuit descriptions and references to resistors and
capacitors.
*** Gee, so just how does NFB get explained without a sketch or two or
some wave forms.
The reader needs to be invited to
see actually what happens with NFB in an amp.
Formulas come later, when concepts are understood,
and somebody wants to build something.
Before we proceed, a few definitions are needed: There are two types of
negative feedback, or degenerative feedback as it is sometimes called:
local and global.
Local feedback is connected within or around a single gain stage; global
feedback is connected around several gain stages, usually from the
amplifier’s output to its
input. Local feedback is generally regarded as benign, and with this
view I concur. The amount of feedback, expressed in decibels (dB), is
the ratio of the gains
without and with feedback (the open and closed-loop gains): 6dB is a
factor of 2 in voltage (4 in power); 20dB is a factor of 10 in voltage
(100 in power), etc.
The trouble with feedback
Despite its advantages, negative feedback can degrade amplifier sound
quality in three ways: First, it can lead to instabilities that appear
as response peaks or even
oscillations at an amplifier’s frequency extremes. Second, it can
increase susceptibility to RF interference. Third, it makes clipping
more abrupt: This rarely affects
preamplifiers, which have plenty of headroom, but it is always a concern
in power amplifiers. With proper design, the first two problems can be
eliminated and the
third can be controlled. We shall examine each of them closely with the
help of SPICE.
*** But you don't need spice to examine such matters, just built the
amp, measure and trim it.
Instability
Negative feedback operates by subtracting a portion of an amplifier’s
output signal from its input. This is quite straightforward for the
middle frequencies where an
amplifier’s open-loop gain is relatively flat. Bode’s theorem tells us
that there is very little phase shift in this region. But things can get
ugly at the frequency extremes.
Every RC (resistor-capacitor) network that contributes to an amplifier’s
rolloff adds up to 6dB per octave to the rolloff and up to 90 degrees to
the phase shift. Not
all of these RC networks are obvious in the schematic: Many involve
stray capacitances within the tubes. If the total phase shift exceeds
180 degrees at any
frequency where the loop gain (A/G-1, where A is the open-loop gain and
G is the closed-loop gain) is greater than one, the amplifier will
oscillate [5]. If it merely
approaches 180 degrees, a peak will appear in the frequency response
curve that corresponds to ringing in the time-domain. This will
definitely degrade sound
quality.
***It depends where the peaks are. If they are within the audio band in
an appallingly made amp,
then the F response will be upset. But when they appear well outside the
AF band, there is little
audible effect because there is little signal content below 20Hz and
above 20kHz.
To make matters worse, capacitance in shunt with the load increases the
phase shift.
*** To be sure that there will be no oscillations due to added phase
shift of a capacitive load,
we trim gain and phase shift in the OLG. Then any value of C can be
connected,
and the amp won't oscillate. It won't provide full MF power up to 50kHz
either, but then it doesn't have to.
Interconnect cables have around 20pF per foot, and electrostatic
loudspeakers
are nothing more than big honking capacitors-- as large as 2
microfarads-- that know how to move.
***ESL can have a lot more than 2uF in the reflected C of their panels.
And they can have 2uF just in the C of the step up tranny if its
designed badly, as many are.
But a series R in the form of added R of say 1.5ohms or allowing the
winding resistances to be high
will provide a load never lower than the R. The R damps the circuit. The
leakage inductances of the
step up trannies provide some series L.
So saying ESL are "big honking capacitors" is not quite a correct thing
to ever say.
So load capacitance is always present. An amplifier that
performs nicely with a purely resistive load (widely used in equipment
reviews) may misbehave in the real world. Amplifiers have a property
called phase margin—
the difference between the maximum phase shift and 180 degrees— that
indicates how well they can tolerate capacitive loads. A qualitative
estimate of phase margin
may be obtained by measuring the response with capacitance in shunt with
the load. This is particularly easy with SPICE.
*** And easier and faster to examine with an amp and CRO....
To keep phase shift under control, a single RC network must dominate the
rolloff. For global feedback loops, this usually involves adding a
capacitor to the circuit.
This is accomplished in the original PAS line amplifier (fig. 1) with
33pF capacitor CLFB connected in parallel with feedback resistor RLFB,
and in the new design
(fig. 2), with 7pF capacitor C3M in the input circuit. Although these
capacitors reduce the high frequency cutoff (-3dB point), it is still
around 100kHz in both
circuits— well beyond the limits of human hearing. Most well-designed
preamplifiers achieve good frequency response and stability at the same
time— but this is not
always the case for power amplifiers with output transformers.
***I have ommitted the section on PAS line level amps using bucketfulls
of NFB and having tone controls.
*** Its difficult to comment here because we cannot reproduce
schematics.
*** See my webpages for far simpler ways of