From: "Saved by Internet Explorer 11" Subject: Cathode Bias with a Counstant Current Source Date: Wed, 7 Oct 2015 14:41:09 -0700 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01D1010E.34624380" X-MimeOLE: Produced By Microsoft MimeOLE V6.1.7601.17609 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01D1010E.34624380 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.tubecad.com/2011/08/blog0210.htm =20 =20 Cathode Bias with a Counstant Current Source =20 =20 =20 =20 =20 =20 =20
=20
John=20 Broskie's Guide to Tube Circuit Analysis & Design =

13 August 2011

RIP Allen Wright =
=20 Guido Tent of TentLabs informed = me of=20 Allen's demise this past February. The tube world has lost an = ardent=20 defender and supporter. I have only met Allen once, which was at = the 2005 = ETF in=20 Langenargen, Germany. I had been warned to expect a confrontation, = but=20 Allen and I instantly got along well. I believe the first thing he = said to=20 me was, "I have never read your Tube CAD Journal." This = was fine=20 by me, as I had never read his books, which I was quick to point = out. The=20 interesting thing was that Allen betrayed himself at least three = times by=20 repeating bits of my life that I had revealed here, such as the = suggestion=20 that the Mafia = take out=20 spammers as a public service and the moronic audio salesman = who told=20 me that his paper-coned speakers were "electrostatic-electrody= namic=20 speakers." The closest we ever got to talking audio circuits = was in a=20 conversation wherein I lamented giving away a defective signal = generator=20 that I once owned, as the distorted waveform was actually quite = useful in=20 testing amplifiers. Allen knew at once where the failing component = was in=20 the generator, which impressed me greatly. I wish that I had a = chance to=20 have a long talk with Allen, without an audience, where we could = have=20 talked tube circuits for a few hours; I am sure that I could have = learned=20 a great deal.

It seems that I am always the last to hear of = the death=20 of famous audio folk. I remember John Atwood calling me to tell me = that Dr. Gizmo = (Harvey=20 Rosenberg) had died. I could not believe it, as I had just had a = long=20 telephone conversation with him two days earlier. I was also = startled when=20 I heard that Charlie Kittleson, editor of Vacuum=20 Tube Valley = magazine,=20 had committed suicide months ago. I had dinner with him about a = year prior=20 and we had been e-mailing a bit afterwards. (I was pushing him in = the=20 direction of resurrecting his magazine, albeit as an online = effort.) He=20 seemed to me, at the time, to be more tired than depressed.

At 55 years old, I can expect a lot more bad = news in=20 the coming years, as ours is a hobby for old men, at least here in = America.

 

Something New: MP3 = of Blog=20 Post
Everyday I use a software program that = converts=20 text into speech. Yes, I know that all computers come with such a = program;=20 but these universally sound dreadful, with odd mechanical, = robot-like=20 sounding voices that quickly irk and weary the listener. The = program I use=20 makes use of new high-quality voices that sound natural. So, here = is an=20 example. Blog210.mp3

 

Cathode Bias with a Constant Current=20 Source
A few years ago, I received many = e-mails=20 asking for help on how tube-based, push-pull amplifiers that used = a=20 constant-current source at the output tube's connected cathodes = worked. I=20 believe that it was Allen Wright who caused the stir, with his Vacuum=20 State dpa300B power amplifiers, which the brochure describes = as being:=20 "Not Push Pull=96Not Single Ended." Okay, Allen, whatever you say = ;)

Nonetheless, I am reminded of all those readers who wrote about = a=20 decade ago to explain how the circlotron was actually two = single-ended=20 amplifiers working in parallel. My answer was that, in that case, = all=20 push-pull amplifiers (such as Dynaco ST-70 and the Futterman OTL=20 amplifiers) were also two single-ended amplifiers working in = parallel. The=20 test is if the two tubes work in anti-current phase to each other = or in=20 phase. If in phase, then the amplifier is a parallel single-ended = (PSE)=20 design. If out of phase, then the amplifier is a push-pull design. = It's=20 really that simple. Iout =3D Ia - Ib

Before moving on to how this auto-bias method works in a = push-pull=20 amplifier, let's look into why this technique is never used in a=20 single-ended amplifier.

In the above circuit, everything seems to be = kosher.=20 The constant-current source sets the required cathode-bias voltage = and the=20 idle current remains steady, in spite of an inflating or deflating = B+=20 voltage. But that is just the problem: the current remains too = constant.=20 An output transformer relays a variation in current flow through = its=20 primary to its secondary. No change in current, no output = signal.

=20

Any attempt to the get some output signal = into the=20 speaker=97by applying a input signal to the grid=97will be = countered by the=20 constant-current source. The grid goes up, the cathode goes up; = the grid=20 goes down, the cathode goes down. The workaround is to place a = whopping=20 big capacitor across the constant-current source, which will = effectively=20 "ground" the cathode to AC signals, allowing the amplifier to = amplify. In=20 sharp contrast, a push-pull amplifier that uses an unbypassed=20 constant-current source can amplify. Why? The quick answer is that = the=20 connected cathodes do not move.

As long as the two tubes are working within = the class-A=20 envelope, which is set by the idle current and the load impedance, = the=20 voltage at the connection to the cathodes remains almost constant. = (As no=20 tube is perfectly linear, there will be small voltage wiggles on = the=20 cathodes.) Think about it this way: in a cathode-follower circuit, = the=20 cathode tries to follow the grid; thus, if the grid moves up in = voltage,=20 the cathode follows the upward movement. Now what would happen if = two=20 cathode followers were placed in opposition to each other, with = one trying=20 to pull up, while the other tried to pull down?

If the tube were the same and both saw the = same input=20 signal (albeit inverted for one cathode follower's grid), then the = result=20 would be a tie, with the connected cathodes remaining fixed. Well, = that is=20 what is happening with the push-pull amplifier that uses an = unbypassed=20 constant-current source.

Okay, so we have arrived=97or have we? This = is the=20 perfect tube output stage, right? (I was trying here to recapture = some of=20 the breathless quality that those e-mails from days past held when = asking=20 about this auto-bias technique for a push-pull output stage.) As = long-time=20 readers know all too well, none of these questions admits a = simple, pure,=20 absolute yes-or-no answer. The historical reason the=20 constant-current-source cathode load isn't popular is that = low-voltage=20 constant-current sources were not available (excepting = high-inductance=20 chokes) back in the good old days, when=20 tube glowed bold and transistors weren't invented; and for far = too=20 many, if it wasn't done back then, it shouldn't be today. = Additionally,=20 this auto bias method limits the power amplifier to class-A mode = of=20 operation, thereby forgoing the big watts that class-AB or class-B = delivers. A manufacturer willingly walking away from potential = watts is as=20 rare as penis reduction operations=97and for the same reasons. =

Class-A is expensive. It costs watts, heat, = tube-life,=20 and sturdy parts.

When the above amplifier is asked to produce = an output=20 voltage greater than the limit imposed by the constant-current = source, the=20 amplifier clips, the cathodes break free of their fixed voltage = and begin=20 to follow the most-positive grid voltage.

Well, couldn't we apply the single-ended = workaround of=20 adding a large-value bypass capacitor across the constant-current = source?=20

Yes, this will allow the output stage to put = out brief=20 bursts of more power, as the capacitor will buck the cathodes' = attempt to=20 follow the large input signal. There are few liabilities with this = workaround. First, if the bursts are not so brief and so rare = events, but=20 instead long, sustained blasts, then the capacitor will begin to = charge=20 up, due to the overdriven tube rectification effect, which will = throw the=20 tubes off bias. If the capacitor charges up enough, the tube may = entirely=20 cutoff, once the big input signal is removed, which will result in = 100%=20 distortion, as no sound will be reproduced. Moreover, the = unbypassed=20 constant-current source affords some nice sonic benefits, such as = greatly=20 improved PSRR and CMRR, both of which we will lose with the = addition of=20 the bypass capacitor.

PSRR is short for=20 = power-supply-rejection= =20 ratio, which is the measure of a circuit's = ability to=20 ignore the power-supply noise at its output, which is usually = measured in=20 dB. All power supplies contain some noise.

In the above illustration, we see the = push-pull output=20 stage with no input signal, but with a good amount of power-supply = noise.=20 Since the constant-current source strives to maintain a fixed = current flow=20 throughout the set of power tubes, it cannot let the variations in = B+=20 voltage (power-supply noise) vary the tube's current conduction, = so the=20 cathode voltage must move 1/(mu + 1) as much as the B+ moves. The = result=20 is noise-free output at the speaker, in spite of the plates and = cathodes=20 bouncing about. Remember, if there is no delta, no difference in = current=20 flow through the primary, then there cannot be any output signal = at the=20 secondary.

CMRR is less well known. It stands for=20 = common-mode-rejection = ratio and it is the measure of an amplifier's = ability to=20 reject in-phase input signals relative to its amplification of = uncommon=20 input signals, i.e. balanced input signals. Ideally, an amplifier = would=20 entirely ignore an identical signal at its positive and negative=20 (non-inverting and inverting) inputs. Wait a second; why should = there be=20 any in-phase input signals with a push-pull, balanced pair of=20 out-of-phase input signals? There shouldn't be...but there always = are.=20 That's real life. Sometimes the culprit is RFI or magnetically = coupled hum=20 or just a less-than-perfect power supply feeding the phase = splitter or the=20 differential long-tailed amplifier that delivers its output to the = output=20 stage. With the unbypassed constant-current source in place, the = cathode=20 follows the common-mode signal, which prevents the tubes from = seeing an=20 input signal; and, probably much more importantly, prevents the=20 common-mode signal from interacting with the desired input signal = within=20 the output tubes.

In other words, greatly enhanced PSRR and = CMRR are=20 wonderful attributes to have=97in the real world of electronics. = In a=20 perfect world, one free of all RFI and filled with perfect house = wiring=20 and noiseless, absolutely fixed power supplies and flawless input = signal=20 sources, these two highly-desired characteristics would not be = necessary.=20 In fact, if the power supplies were perfectly clean and steady, = and if the=20 triodes were perfectly linear, then it would make no real = difference if=20 the constant-current source were unbypassed or bypassed or, = indeed, if it=20 were replaced with battery or a perfect zener diode. What? Once = again, as=20 long as the amplifier were never driven beyond its class-A = envelope of=20 operation and as long as perfect power supplies and tube were = used, the=20 connected cathodes would never budge a picovolt, which means that = the=20 tubes would be entirely indifferent to what load was found between = them=20 and ground.

But as we do live in a less-than-perfect = world, we have=20 to prepare for the worst. We can design better power supplies and = buy more=20 closely-matched output tubes=97and we do not bypass the = constant-current=20 source.

By the way, each output tube could see its = own=20 connection to a negative bias voltage, so that the = constant-current source=20 would displace less precious voltage and so each output tube could = have=20 its idle adjusted independently from its partner. Or we could use = a DC=20 servo loop to automatically adjust one tube's grid voltage so that = the=20 tube matches its partner's conduction.

The most difficult correction to make, = however, is=20 changing ourselves. Audiophiles like to crank the volume. With a = huge=20 increase in sound pressure comes a feeling of power and an = uncovering of=20 sonic details. Unfortunately, super loud and class-A are seldom = seen=20 together. Unless you are running big 105dB horns, you are probably = clipping at least once during every minute of music play. It is = easy to=20 do, as quality music presents a huge dynamic range, which would = require=20 10kW amplifiers to reproduce faithfully with typical inefficient = speakers.=20 But when we bought class-A glory we had to pay in potential = wattage (and=20 in heat and shorter tube longevity). For example, the two output = tubes=20 that could have produced 100W in a super-lean class-AB, might only = produce=20 25W in strict class-A.

The above graph shows three idle current = points and the=20 three resulting classes of operation. In all three examples, the = peak=20 current draw by a single tube is 140mA. But the class-A idle = current=20 limits the amplifier's output to one half of what the class-AB = point=20 yields and only one forth what the class-B idle current can = deliver.=20 Moreover, the tube will last much longer with the lower idle = currents. Of=20 course, the lowest distortion and the flattest output impedance = will be=20 offered by the class-A mode of operation. I believe this is a good = trade;=20 but never forget that some tradeoff must always be made.

 

TCJ = Workaround
=20 I am planning on building a push-pull power amplifier and I = have had=20 to face many design choices. Although I like the ease of the = class-A,=20 constant-current source approach, I would like to cheat the system = a tad,=20 by running a lower idle current and still getting an occasional = burst of=20 wattage beyond the strict limits of class-A.

To begin with, just imagine the zener is not = there,=20 which would leave just the constant-current source and two diodes, = a=20 resistor, and a large-valued capacitor. Note how the capacitor is = at the=20 same voltage as the cathodes, which makes sense as the 10k = resistor and=20 the rightmost diode will charge up the capacitor. Once charged, = the=20 capacitor only sees the 10k resistor connecting it to the = cathodes, as the=20 two diodes are no longer forward biased, so they effectively fall = out of=20 the circuit.

Now, if we never increase the volume beyond = the class-A=20 limit, the constant-current source is only being shunted by a 10k=20 resistor, which can be safely ignored. On the other hand, if the = crescendo=20 takes an output tube outside the class-A envelope, the rightmost = diode=20 will begin conducting and effectively couple the capacitor to the=20 cathodes, which will greatly limit their AC movement away from the = established DC bias voltage. Of course, if the increased volume is = sustained for long enough, the capacitor will charge up to a much = higher=20 voltage. But once the volume falls to normal, the leftmost diode = will=20 begin conducting, allowing the capacitor to discharge through the=20 constant-current source.

It's not perfect, but it would allow a = two-speed=20 operation to the amplifier. In other words, instead of having a = class-A=20 amplifier that puts out only 25W, we could have class-A amplifier = that=20 puts out nominally only 25W, but could be overdriven to produce = clean 50W=20 (or more) bursts of power.

Okay, why is the zener there? The zener diode = will put=20 the hard breaks on the cathodes climbing too high in voltage due = to=20 rectification effects that result from overdriving the triodes. = Just pick=20 a zener that will break at some voltage beyond what you ever = expect to=20 find a triode biasing to at the desired idle current. In fact, we = could=20 just use a zener and the constant-current source, but it results = in sharp=20 transitions in the waveform=97never a sonically good idea. The = more complex=20 circuit allows a smoother transition.

I have run many SPICE simulations on the = above circuit=20 and it performs well. I would use MUR410G rectifiers and LM317-HV=20 three-pin, TO-220 voltage regulators to create the = constant-current=20 source. If an EL84 were used, then a plain LM317 could be used; if = 300Bs=20 are used, then the TL783 is a better choice. See www.tubecad.com/f= ebruary2000/page6.html=20 for more information.

Of course the assumption throughout has been = that=20 carefully matched tubes would be used. Great. But what if we don't = own=20 matched tubes or what if our once matched tubes fall out of = matching over=20 time? The following workaround illustrates how two unmatched = output tubes=20 could be used.

=20

The two large capacitors effectively couple = the two=20 cathodes in AC terms, but allow each tube to find its own DC bias = voltage.=20 The 1M resistor establishes a polarizing voltage across each = capacitor.=20 Why? I think electrolytics sound better when they hold a charge. =

Of course, we do not have to stop at two = output tubes,=20 as we could run eight tubes, with each tube getting its own=20 constant-current source and big capacitor. And, yes, the same = fancy=20 additions of zener, resistor, big capacitor, and two diodes can be = added,=20 but one set per tube.

Okay, one final idea (I could easily go on = for twice as=20 long). How about a push-pull amplifier with an auto-bias = constant-current=20 source that is set to a nominally low value, so the amplifier only = puts=20 out 4W in class-A=97until a crescendo forces the constant-current = source to=20 climb to a higher level of current conduction; then when the music = subsides, the constant-current source falls back to previous = value.

In this example, a MOSFET was used, but the = three-pin=20 regulators could still be used, but with some slight adjustments = to the=20 topology. The downside to this approach is that the sliding bias = reacts to=20 changes in current demand, not anticipates the changes before they = happen.=20

The ideal would be a computer-based sound = system,=20 wherein the idle current through the constant-current source = could be=20 dynamicaly adjusted by the computer. Such a setup would give us = just about=20 everything we desire: long tube life, low heat, high power, and = class-A=20 glory on the cheap. See blog=20 number 126 for more information.

 

 

Next = Time
=20 I will return to the topic of Moskido hybrid power amplifiers. =

 

//JRB

     

 

=20 =20 =20 =20

 

Kit User Guide PDFs
= Click=20 image to download

<= IMG=20 width=3D"288" height=3D"425" = src=3D_http_/www.tubecad.com/2008/02/21/Attenuator%20PDF.html border=3D"0">

<= IMG=20 width=3D"290" height=3D"373" = src=3D_http_/www.tubecad.com/2011/11/25/Unbalancer%20Cover.html border=3D"0">


E-mail from GlassWare Customers = =20

Hi John,

I received the Aikido PCB today - thank you for the first = rate=20 shipping
speed.

Wanted to let you know that this is simply the best PCB I = have had in=20 my hands, bar none. The quality is fabulous, and your = documentation is=20 superb. I know you do this because you love audio, but I think = your=20 price of $39 is a bit of a giveaway! I'm sure you could charge = double=20 and still have happy customers.

Looking forward to building the Aikido, will send some = comments when=20 I'm done!

Thank you, regards,
Gary.

And=20 =20

Mr Broskie,

I bought an Aikido stereo linestage kit from you some days = ago, and I=20 received it just this Monday. I have a few things to say about = it.=20 Firstly, I'm extremely impressed at the quality of what I've = been sent.=20 In fact, this is the highest quality kit I've seen anywhere, of=20 anything. I have no idea how you managed to fit all this stuff = in under=20 what I paid for it. Second, your shipping was lightning-quick. = Just more=20 satisfaction in the bag, there. I wish everyone did business = like=20 you.

Sean H.


High-quality, double-sided, extra thick, = 2-oz traces,=20 plated-through holes, dual sets of resistor pads and pads for two = coupling=20 capacitors. Stereo and mono, octal and 9-pin printed circuit = boards=20 available.

   Designed by John Broskie = & Made=20 in USA

Aikido PCBs for as = little as=20 $24

http://glass-ware.stores.yah= oo.net/

 



Only=20 $9.95
to start=20 designing
tube-based=20 crossovers
and much more... =
=20

TCJ Filter Design

The Tube CAD Journal's first companion = program, TCJ=20 Filter Design lets you design a filter or crossover (passive, = OpAmp or tube) without having to check out = thick=20 textbooks from the library and without having to breakout the = scientific=20 calculator. This program's goal is to provide a quick and easy = display not=20 only of the frequency response, but also of the resistor and = capacitor=20 values for a passive and active filters and crossovers. =

TCJ Filter Design is easy to use, but not lightweight, = holding=20 over 60 different filter topologies and up to = four filter=20 alignments:

        = Bessel,=20
        = Butterworth,=20
        = Gaussian,=20
       =20 Linkwitz-Riley.

While the program=92s main concern is active filters, = solid-state=20 and tube, it also does passive filters. In fact, it can be used to = calculate passive crossovers for use with speakers by entering 8 = ohms as=20 the terminating resistance. Click on the image below to see the = full=20 screen capture.

Tube crossovers are a major part of this program; both = buffered=20 and un-buffered tube based filters along with mono-polar and = bipolar power=20 supply topologies are covered. Available on a CD-ROM and a = downloadable=20 version (4 Megabytes).

Download or CD ROM
= Windows=20 95/98/Me/NT/2000/XP

 

 

 
www.tubecad.com =20         =20 Copyright =A9 1999-2011=20 GlassWare       =20    All=20 Rights Reserved

 

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