From: "Saved by Internet Explorer 11" Subject: The Brook Amplifier & Sliding-Bias SE Power Amplifier Date: Wed, 8 Apr 2015 11:42:17 -0700 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_002D_01D071F1.10908C70" X-MimeOLE: Produced By Microsoft MimeOLE V6.1.7601.17609 This is a multi-part message in MIME format. ------=_NextPart_000_002D_01D071F1.10908C70 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.tubecad.com/2007/12/blog0128.htm =20 =20 The Brook Amplifier & Sliding-Bias SE Power Amplifier = =20 =20 =20 =20 =20 =20 =20
=20
John=20 Broskie's Guide to Tube Circuit Analysis & Design =

17 December=20 2007

         =20

 

The Brook = Amplifier: An=20 Amplifier with Automatic Bias Control
= To=20 help continue the topic of variable-bias power amplifiers, John = Atwood=20 sent me a scan of a great little article on the Brook amplifier, = "High-Quality=20 Audio Amplifier With Automatic Bias Control." I have = OCR-ed the=20 scan and it is available by clicking on its title.

(Why OCR? First, I want the search engines to = be able=20 to find it. PDFs filled with images of scanned pages of text are = the dark=20 matter of the web; they are there, but you don't know it and = cannot find=20 it. [Dark matter? Astrophysicists tell us that dark matter is of = unknown=20 composition and that it is dark, neither emitting nor reflecting=20 observable electromagnetic radiation. Yet its existence is = implied by its=20 gravitational effects on non-dark matter.] Second, I want the = article to=20 print more cleanly, as my 51-year-old eyes do not need any more = strain;=20 and this article deserves the paper tribute.)

Sixty years ago, this interesting and = fun-to-read=20 article appeared in Audio Engineering magazine (the = precursor of=20 Audio magazine). Written by J. R. Edinger, of Brook = Electronics,=20 the article lucidly explains how the push-pull Brook amplifier = uses a=20 dynamically shifting bias voltage to create an = output-mode-shifting=20 amplifier. Simply put, the Brook amplifier offers two faces: a = push-pull,=20 class-A, low-distortion, low-power amplifier, when at idle or = under low=20 signal levels; and a lean, mean class-AB, higher-distortion, = high-power=20 amplifier when provoked by large input signals. Now, this is the = right=20 sort of split personality; it=92s much like having a fun, = obedient, and=20 loving dog who will turn into a fearless, frothing, flesh-tearing = guard=20 dog only when a loathsome intruder creeps into your house late at = night.=20

 

How does the Brook = amplifier=20 work?
The best path to understanding is to = read the=20 article. But in a nutshell, the two push-pull output tubes share a = common,=20 small-valued cathode resistor, which is used to monitor the = current flow=20 through both tubes. The DC amplifier's input is a cathode, not a = grid; and=20 the cathode attaches to the single cathode resistor shared by both = output=20 tubes. During idle and low-level input signals, the cathode = resistor sees=20 a fairly constant voltage drop, as the class-A operation of the = output=20 tubes means that as one tube conducts less the other conducts more = by the=20 same amount, so the net current draw remains fairly constant.


Automatic-Bias-Circuit (A.B.C.)

But as the amplifier is asked to go beyond = its class-A=20 range, the cathode sees a greater current conduction, which in = turn=20 creates a larger positive voltage drop, which in turn gets = amplified by=20 the DC amplifier, but in an inverting mode, so the DC = amplifier=92s output=20 will swing negatively, when faced with a positive input signal. = The phase=20 inversion comes from the second stage within the DC amplifier, = which=20 constitutes a grounded-cathode amplifier. The DC amplifier=92s = output is DC=20 coupled to the center-tap of the interstage transformer, which = will relay=20 the downward drift in bias voltage to the output tubes. As the = Brook=20 amplifier=92s output tubes see a greater negative bias voltage at = their=20 grids, their idle current drops, which moves the output stage out = of=20 class-A operation into class-AB, then class-B mode, if the input = signal is=20 large enough.

Wait a minute, if the output stage's greater = conduction=20 causes a more negative bias voltage at the output tubes' grids, = how do the=20 output tubes conduct more, if they are being turned off? The DC = amplifier=20 has an internal capacitor (C27, 0.1=B5F) that slows the = amplifier=92s reaction=20 to input signals, limiting the amplifier frequency response to = only those=20 frequencies below around 6Hz, the time constant that results from = the=20 capacitor being charged through resistor R28. (In fact, a second = low-pass=20 is located at the DC amplifier=92s output, which has an even lower = transition frequency.) In other words, the DC amplifier ignores = the actual=20 music signal and only amplifies the shifting music envelope of = increased=20 current draw.

The next question to answer is how the shift = away from=20 class-A increases the potential power output. The answer is = intriguing,=20 but it must wait for a preparatory side trip to single-ended = amplifiers=20 with shifting bias points.


=20

Back on the = Sled
=20 What I love about the Brook amplifier is that it steers in = the=20 opposite direction from my single-ended=20 sledding-bias amplifier concept, which makes perfect sense, as = the=20 Brook amplifier is push-pull, whereas the sledding-bias = arrangement was=20 intended for single-ended amplifiers.

Now if I had just read that last sentence, I = would stop=20 reading and ponder on my own why push-pull amplifiers require a=20 completely different approach to shifting bias than single-ended=20 amplifiers. Two output tubes versus one? No DC current versus a=20 sustained magnetizing DC current through the output transformer? A = balance=20 driver stage versus unbalanced driver stage? Or...?

As is so often the case with multiple choice = questions,=20 the correct answer is "none of the above." The Brook amplifier = goal is=20 optimal music playback, not increased efficiency or extended = output tube=20 life. The amplifier runs in a relatively heavy-current class-A = mode at=20 idle, to produce the cleanest output signal. The rich idle current = moves=20 the 2A3/6B4G triodes into their most linear range and then = enhances that=20 intrinsic linearity by ensuring that both triodes completely = overlap each=20 other=92s transfer curve, thereby creating a more linear sum.

Class-A operation of a push-pull amplifier = requires an=20 idle current at least equal to half of the peak output current, = whereas=20 class-B operation requires an idle current as close to complete = cutoff as=20 possible. In the Brook amplifier, the class-A output is 5W (peak) = and the=20 class-AB output is 30W (peak). As long as the power output is = below 2.5=20 watts (peak), the automatic-bias-circuit (A.B.C.) does not alter = the=20 negative bias voltage presented to the output tubes. Once the = output=20 exceeds its class-A limit, the A.B.C. kicks in, reducing the = negative bias=20 voltage, allowing the amplifier to gracefully slide into class-B = mode.=20


The combined plate = curves for=20 two 2A3s working in push-push under high idle current

True class-A is truly beautiful and, like so = many=20 beautiful things, expensive. Class-A is costly in terms of = efficiency,=20 tube longevity, and maximum power output. Since the Brook = amplifier aims=20 at delivering a near-perfect reproduction of musical events, the = limited=20 output power would steal from its achievement.

With the sledding-bias arrangement for a = single-ended=20 amplifier, in expectation of a crescendo, we raised the mild = trickle of=20 idle current to an intense torrent, allowing the amplifier to = deliver more=20 output voltage and current into the load. The Brook amplifier, in=20 contrast, lowers the bias voltage (a bit after and during the = crescendo),=20 and with it, the idle current to achieve the same end: more power. = Why the=20 opposite approach? The single-ended amplifier, shown above, is = primarily=20 current-limited, as is the Brook class-A push-pull amplifier, but = in an=20 entirely different way.

 

The Essential and the = Accidental
=20 It is important to understand fundamental operations within = each type=20 of amplifier, as these limitations might be strictly law-based or = no more=20 than accidental. For example, it is essential that the class-A, = push-pull=20 amplifier shift down into low-current class-AB mode. In contrast, = it is an=20 accident, a happenstance, a chance event that our sledding-biased, = solid-state, single-ended amplifier runs an unusually low idle = current,=20 which certainly is not an absolutely essential feature of = all=20 single-ended amplifiers, although it is an essential feature of=20 this amplifier. The sledding-biased amplifier's goal was = a=20 single-ended amplifier that was primarily efficient, producing no = more=20 heat than was absolutely required. The goal might have been = altogether=20 different, as we might have accepted an excessively high idle = current, say=20 10A for a nominally 16W amplifier, which need only idle at 2A to = achieve=20 it 16 watts of output power. If the goal were absolutely the most=20 linearity at any cost, then 10A would certainly be a move in the = right=20 direction. Such an amplifier is primarily voltage-limited = (assuming a 40V=20 B+ voltage). Increasing the idle current to 20A would not increase = the=20 power output by a milliwatt, nor would halving the idle current to = 5A=20 increase the power output.

Increasing the B+ voltage, on the other hand, would = dramatically=20 increase the potential output power. The low B+ voltage limits the = maximum=20 voltage swing into the 8-ohm load. This example has been a = solid-state=20 one, but a tube-based example is also possible. In fact, with a=20 triode-based single-ended amplifier, decreasing an excessively = high idle=20 current could also increase the maximum output power. How? The=20 zero-grid-to-cathode-voltage boundary corrals the maximum = positive-going=20 input signal, which in turn limits the maximum symmetrical = negative-going=20 plate-voltage swing.

"Wait a minute," you are thinking, "you might be = limited by=20 the zero grid voltage stop sign, but my single-ended amplifier = isn=92t, as=20 it uses an interstage transformer, so grid conduction is no = problem." If=20 only it were so. Once the grid becomes forward biased relative to = its=20 cathode, it defines a diode with the cathode and current flows = from the=20 cathode to the grid, causing the grid=92s normally near-infinite = impedance=20 to plummet. This nosedive in impedance is also reflected through = the=20 interstage transformer to its primary, thereby dragging down the = driver=20 stage. The big advantage of using the interstage transformer over = using a=20 coupling capacitor is that the transformer=92s secondary is made = from=20 relatively low DCR wire and it will not store an altered bias = voltage, as=20 a capacitor would. (Capacitors preserve voltage; inductors, = current.=20 Ideally, no DC current flows through a charged capacitor and no = voltage=20 develops across a stressed inductor.) Had a cathode follower been = used to=20 directly drive the output tubes' grids, then the grids could be = driven=20 easily into conduction, assuming buffed cathode followers had = been=20 used.

 

Too Many Words and Not Enough=20 Pictures
Below is a set of plate curves for an = imaginary triode. The triode works into a 3200-ohm plate load and = a 300V=20 B+ voltage is used. Two idle current set points are shown. The top = loadline marks the second Iq2 amount of current conduction (about = 95mA).=20 The bottom loadline marks the first Iq1 amount of current = conduction=20 (about 53mA).


<= SPAN=20 class=3D"TCJ_Text">Single-Ended AMplifier with Two Bias = Points =20

Setting the idle current to Iq2 will lower = the=20 distortion, but provide less output; setting to Iq1, more output, = but also=20 more distortion. The loadline is the same, but the permissible = voltage=20 swing into the loadline differs with the change in idle current. =

 

A Few Words About = Loadlines
=20 Note that the loadline remained constant in the single-ended = amplifier. In=20 a push-pull amplifier, the loadline isn=92t fixed; instead, it = varies with=20 the output tubes=92 mode of operation. Lets begin with a true = class-A,=20 push-pull amplifier, whose output tubes never completely cut off = in=20 response to the input signal at their grids. This means that the = output=20 transformer=92s secondary is always engaged, with some current = flow through=20 each output tube and its branch of the secondary winding. In this = case, a=20 transformer with a winding ratio of 20:1 will reflect an 8-ohm = load as=20 3200 ohms across the output transformer=92s secondary, as the = impedance=20 ratio equals the winding ratio squared, which in this example is = 20=B2:1, or=20 400:1. Since the loadline spans both output tube plates, each = triode sees=20 a reflected impedance of 1600 ohms.

In contrast, with a true class-B, push-pull amplifier, its = output tubes=20 are completely cut off at idle. This means that the output = transformer=92s=20 secondary is only engaged when current flows through either output = tube=20 and only through the conducting triode=92s branch of the secondary = winding.=20 Thus, a transformer with a nominal winding ratio of 20:1 will = effectively=20 hold a winding ratio of 10:1 with each half of the primary to the=20 secondary. Thus, the transformer will reflect an 8-ohm load as 800 = ohms=20 across the output transformer=92s primary, as the loadline spans = only one=20 output tube plate at a time.


Class-B Loadline

Where defining a loadline gets really tricky is when the = amplifier=92s=20 mode of operation is class-AB, as each triode will see a varying = loadline,=20 whose slope is determined by the status of conduction through both = halves=20 of the primary and the output tubes and the degree of magnetic = coupling=20 between windings. Because the load line cannot be represented by a = straight line, the best method to analyze a transformer-coupled, = push-pull=20 output stage is to use a composite set of plate curves.


Single 2A3 with Vp of 250v and Iq of 51 = mA


Two push-pull 2A3s with Vp of 250v and Iq of 51 = mA=20


Composite curves of two 2A3 operating = in
Class-A with=20 Vp of 250v and Iq of 51 mA


Composite curves of two 2A3 operating in
= =20   Class-AB with Vp of 250v and Iq of 2 mA

The composite plate curves are made by = subtracting one=20 output tube's current conduction form the other. At idle, when = both tubes=20 conduct equally, the two currents equal and thus cancel, which = places the=20 center of the composite curves at zero grid volts and zero current = into=20 the load. As the output stage is driven by inverted drive signals, = the=20 non-linear transfer curves are averaged. So one tube's greater = conduction=20 is met with the other tube's lesser conduction, hence the straight = lines=20 formed in the composite plate curves drawn from two output tubes = operating=20 in pure Class-A and the wobbly curves formed by the same tubes in=20 Class-AB.

 

Making the=20 Transition
Class-A operation transitioning = into lean=20 class-AB operation requires a drop in idle current. If the DC = amplifier=20 overshoots its mark, the amplifier will enter class-C. Never a = good idea=20 for an audio power amplifier. So some tweaking is required. For = example,=20 let=92s say that we incorporated the Brook amplifier=92s bias = circuit into a=20 new power amplifier that was meant to use EL34s. And what if the = bias=20 circuit were trimmed so that it never completely turned off the = output=20 tubes. Then we decide to plug in some 8417 power tubes instead. = The bias=20 circuit would now overachieve and would shut off the 8417s, say = after an=20 extremely loud passage, as the 8417 needs less negative bias = voltage to=20 cut off. In other words, the auto-bias circuit must be carefully = designed.=20 Which leads to the question, how does one implement the Brook = amplifier=20 technique today?

First of all, it is interesting to note how, = in a quite=20 unintended way, the downward sliding bias method has been implicit = to some=20 small degree in all cathode-biased amplifiers and even in many = internally=20 capacitor-coupled amplifiers. Interestingly enough, using a = conventional=20 cathode-bias arrangement in a single-ended amplifier has the = effect of=20 increasing the negative bias during high output, as the=20 =93rectification-effect=94 that results from the triode=92s = greater ability to=20 increase in conduction rather than be turned off results in an = unbalanced=20 current draw through the bypassed cathode resistor, with the = positive=20 voltage across the cathode resistor swings being greater than the = negative=20 swings, which then increases the voltage charge across the cathode = resistor=92s bypass capacitor. Depending on the capacitor=92s = value, the=20 capacitor will slowly discharge, leaving an envelope of lower idle = current, which we usually do not want. But in a single-ended = amplifier=20 with an overly rich idle current, like the one implicit in the = graph=20 above, the lower idle current works to our advantage.

How big is the rectification effect? Not that big. With a = perfect=20 triode, zero rectification; with a real triode, a little less than = the=20 percentage of 2nd harmonic distortion, which makes perfect sense, = as 2nd=20 harmonic distortion is very much a measure of the triode=92s = nonlinear=20 handling of a symmetrical input signal.

In the case of fixed-bias, the coupling capacitors can become=20 excessively charged by driving the grid into positively. As long = as the=20 increased charge across the coupling capacitor is modest, the = amplifier=20 will approximate the Brook amplifier, as its output stage will = shift into=20 a lower idle current. The danger, of course, is that the output = stage=20 might already be running in a lean class-AB mode and the further = downward=20 shift in bias voltage will completely turn off the output tubes. =

In other words, I believe that we tube-loving folk are lucky = that our=20 tube-based amplifiers can often adapt themselves to a crescendo by = shifting bias points on the fly. I am convinced that this helps = explain=20 why a 25W tube amplifiers sound about twice as powerful as a 25W=20 solid-state amplifiers. I also believe that this explains why 12W = class-A,=20 push-pull tube amplifiers sound just as powerful as 25W lean = class-AB=20 amplifiers.

(I once built up identical push-pull, EL34-based power = amplifiers,=20 except that one was triode-connected and the other ran pentodes. = Of=20 course, the pentode amplifier won in maximum power output. = Nonetheless,=20 triode-connected amplifier sounded more powerful. So I had several = friends=20 perform the same sonic evaluation, not knowing how the amplifiers=20 differed. After playing each amplifier for a few tracks, I asked = which=20 amplifier sounded more powerful. Both audiophiles and normal = people all=20 thought the triode-based amp, the one with less than half the = power,=20 sounded more powerful. Interestingly, when I revealed that the = seemingly=20 weaker amplifier actually put out more than twice the watts, many=20 listeners, maybe all of them, immediately backpedaled and pointed = at the=20 pentode-connected amplifier as sounding more powerful. When I = grilled them=20 on their flip-flop, the answer I heard was always the same: but it = must=20 sound more powerful, since it puts out more watts. Amazing what = docile=20 consumers we have become. By the way, the triode-connected = amplifier also=20 ran a much richer idle current.)

 

Broskie = Sliding-Bias SE=20 Amplifier
To transition push-pull class-A = operation =20 into lean class-AB operation requires a drop idle current. To = transition a=20 low-wattage, light-current single-ended amplifier into a = high-wattage (for=20 a single-ended amplifier), high-current single-ended amplifier = requires a=20 boost the idle current. The obvious route would be to rectify the=20 secondary voltage swing and reduce a negative bias by an addition = -15V or=20 so. But what about cathode-biased single-ended amplifiers? How can = these=20 amplifiers achieve the same goal?

The following circuit is my answer. Imagine a = power=20 triode, say a 300B, and imagine a ridiculously high-valued cathode = resistor, say 2k. with 400V on the plate, such an amplifier would = draw=20 about 36mA through the output tube. This is at idle and when = presented=20 with moderate input signals.

=20

On the other hand, when the amplifier is = provoked=20 beyond its class-A envelope, the NPN transistor conducts, pulling = down the=20 cathode voltage by shorting the bypass capacitor with the 240-ohm = resistor=20 to ground. The cathode voltage falls by about 15V and the idle = current=20 more than doubles. If you have carefully designed your = single-ended output=20 stage, the potential power output should increase by fourfold. In = this=20 topology, however, a bit more could reasonably be expected, as the = falling=20 cathode voltage gives the output tube a tad more voltage to = work with.=20

If I were not so restrained by shame, I would = have=20 labeled this design "Turbo SE=99." Fortunately, I am not that = shameless.=20 Unfortunately, nor am I greedy enough to patent this scheme, as = it works=20 quite well in SPICE simulations and would make the foundation of a = desirable amplifier.

Imagine a seemingly 2W (RMS) single-ended = amplifier=20 whose output tube only dissipated 12W at idle, but could still put = out 9W=20 (RMS); or, think big, a 10W (RMS) single-ended amplifier whose = output tube=20 only dissipated 60W at idle, but could still put out 45W (RMS). =

One aspect of this design that should always = remembered=20 is that it is a reactive design, not a proactive one. The = amplifier=20 responds to being overdriven, it does not anticipate the increased = need,=20 as the sledding-bias design does. In addition, the design assumes = that=20 interesting music will be played through it. Much like the 50W = tweeter=20 that burns out when presented with 10W of constant sinewaves, this = design=20 assumes that crescendos are fairly infrequent, not constant. = Still, it is=20 a wonderful compromise that would yield long tube life and low = heat, yet=20 could deliver some real power into your loudspeakers.

 

Next = Time
=20 I will have more new circuits in the next installment, but I have = to give=20 my aching fingers a rest.

 

//JRB

 

     



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