From: "Saved by Internet Explorer 11" Subject: Amplifier auto bias circuits: Class-A, Class-AB! Date: Wed, 7 Oct 2015 14:59:57 -0700 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01D10110.D50EDA80" X-MimeOLE: Produced By Microsoft MimeOLE V6.1.7601.17609 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01D10110.D50EDA80 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.tubecad.com/2005/April/blog0043.htm =20 =20 Amplifier auto bias circuits: Class-A, Class-AB! =20 =20 =20 =20 =20 =20 =20 =20 =20 =20
=20
John=20 Broskie's Guide to Tube Circuit Analysis & Design =

16 April 2005

=20

Amplifier auto bias circuits: = Class-A,=20 Class-AB!
Regardless whether the amplifier is = single=20 ended or push pull, solid-state or vacuum tube, class-A or = class-AB=97to=20 achieve the best performance=97all power amplifiers require a = precisely set=20 idle current for their output stages. In a single-ended amplifier, = too=20 much or too little idle current will limit the potential power = output. In=20 a class-A push-pull amplifier, too much idle current will = needlessly=20 overheat the output devices and too little will force the = amplifier out of=20 class-A into class-AB operation. In a class-AB or class-B = push-pull=20 amplifier, too much idle current will add distortion and an = inconsistent=20 output impedance due to gm doubling and too little will produce = crossover=20 distortion.

Ideally, in a class-AB push-pull amplifier, the goal is to set = just the=20 right amount of overlap between output devices to attain the = transfer=20 function that is closest to linear. In addition, the problem of = aging and=20 failing tubes arises. The bias voltage that works so handsomely = when the=20 output tubes were new may not work as well a few months later or = when one=20 output tube is replaced. With solid-state devices, the problem of=20 heat-dependent current variations in the output stage must be = addressed.=20

Transistors are particularly egregious offenders when it comes = to=20 heat-induced current changes. The transistor exhibits a large = positive=20 temperature coefficient: as the device gets hotter, it conducts = more; the=20 more it conducts, the hotter it gets...until it burns out. There = are=20 workarounds, such as emitter resistors and thermal auto-bias = adjustment=20 circuits, but each brings its own set of problems. MOSFETs, on the = other=20 hand, (usually) display a negative temperature coefficient: as the = device=20 gets hotter, it conducts less. Because of the MOSFET=92s = degenerative=20 response, as opposed to the transistor=92s regenerative response, = the MOSFET=20 survives where a transistor would burn out. (Not all MOSFETs are = operated=20 past their negative temperature coefficient transition point, = which means=20 that they too need a thermal auto-bias adjustment circuit to = compensate=20 for the heat induced bias misadjustments.)

Vacuum tubes live and breathe in heat and do not surfer from = the=20 solid-state problems of a heat-shifted bias point. However, tubes = do age.=20 Over time, the bias voltage required to establish a desired idle = current=20 will vary. In a fixed-bias amplifier, adjustments can be made as = needed,=20 which might be as often as daily or as infrequently as yearly, = depending=20 on the tubes. In a cathode-biased amplifier, the cathode resistor = offers a=20 stabilizing degeneration in idle current variations. If the tube = conducts=20 too much, the cathode voltage increases, which decreases the idle = current.=20 Unfortunately, this technique is not perfect.

=20

If nothing else, the large-valued cathode resistor steals = potential=20 watts from the output and adds extra heat to the amplifier=92s = chassis. In=20 addition, the cathode resistor must be bypassed with a = large-valued=20 capacitor, which brings its own imperfections to the mix. Finally, = cathode-biased amplifiers work best when run in class-A, as = class-AB=20 amplifiers suffer from a tube-induced-rectification distortion. = When a=20 class-AB cathode-biased amplifier sees a prolonged burst of = signal, the=20 output tubes' conduction can easily increase fivefold over the = nominal=20 idle current setting. This increase in cathode current will slowly = charge=20 up the bypass capacitor, which will effectively increase the = negative bias=20 voltage, as the grid will become more negative relative to the = cathode.=20 This new bias voltage will slowly collapse over time, but until = then the=20 amplifier will distort greatly as the output tubes might even be=20 completely cut off after the large signal burst (surely, "no = output=20 signal" must come as close as you can get to "100% distortion"). =

=20

One workaround that I have used (and never seen used elsewhere) = is to=20 place a zener in parallel with the cathode resistor. The zener=92s = break=20 voltage is purposely set higher than the bias voltage, so that = when the=20 amplifier leaves class-A, the zener limits the maximum voltage the = capacitor can charge up to, which prevents under biasing the = amplifier=20 after a large current swing.

The past: Auto-bias = circuits
=20 The OpAmp has made what would be otherwise impossibly complex = circuits=20 simple. For example, imagine building a 16-band equalizer without = OpAmps.=20 Of course, OpAmps are not perfect, but as setting a DC bias = voltage does=20 not entail passing the delicate audio signal through the OpAmp; = thus,=20 whatever sonic liabilities the OpAmp may possess should not pass = into the=20 output signal.

(I know that many tightly wound audiophiles claim that DC servo = circuits pollute the sound of otherwise blameless amplifiers, but = after 25=20 years of designing and using DC servo circuits, I have never = encountered a=20 sonic liability. Maybe I have been lucky; or maybe I have just = been extra=20 careful; or maybe some people have designed such poor-performing = servos=20 that they do intrude into the audio signal. In fact, I = would love=20 to see such a circuit and explore its failings.)

Class-A amplifiers are the best candidates for an auto bias = circuit, as=20 the average of the current flow equals the idle current. For = example, an=20 output tube biased in class-A might experience a dynamic current = swing of=20 +200mA down to 0A, with an average value of 100mA, the same value = as its=20 idle current. In this case, the simple DC servo circuit below = works=20 handily.

=20

The small-valued cathode resistor allows us to read the current = flowing=20 through the output tube by measuring the varying voltage that = develops=20 across it via the connection to the 1M resistor. The 1M resistor=20 terminates into the OpAmp=92s inverting input and the 0.1=B5F = capacitor. Any=20 deviation from the reference voltage at the OpAmp=92s = non-inverting input=20 will be met with a correction voltage at the OpAmp=92s output. If = the tube=20 conducts too much, the OpAmp=92s output will swing negatively; if = too=20 little, positively.

Once again, but in greater detail: effectively, the 1M resistor = is=20 grounded (in AC terms) at its connection to OpAmp, as the OpAmp = will do=20 all it can to keep both its input pins at exactly the same = voltage, and=20 since the non-inverting input is set at DC reference voltage, the=20 inverting input will steadily mimic the AC-free input. When the = cathode=20 resistor swings up in voltage, the 1M resistor will pull current = up out of=20 its connection with the capacitor, which must see its connection = to the=20 OpAmp=92s output swing negatively to counter this current. Thus, = the=20 capacitor becomes charged negatively relative to its connection to = the 1M=20 resistor. But when the cathode resistor swings down in voltage, = the 1M=20 resistor will source current into of its connection with the = capacitor,=20 which must see its connection to the OpAmp=92s output swing = positively to=20 counter this inrush current, which will charge the capacitor = positively=20 relative to its connection to the 1M resistor. If the signal is=20 symmetrical and its frequency is higher than the resistor and = capacitor=92s=20 transition frequency, then the capacitor will display no=20 net change in voltage across its leads, as the = two-direction swings=20 average to zero. Below the resistor-capacitor transition = frequency, the=20 capacitor will not be able to suppress any voltage movement at the = OpAmp=92s=20 inverting input and the OpAmp will see the signal at its inverting = pin and=20 it will invert and amplify it, causing the OpAmp=92s output to = alter its DC=20 output voltage.

This circuit works beautifully as long as its reference voltage = is=20 steady, as long as the amplifier does not amplify asymmetrical = signals,=20 and as long as the output stage=92s current swings are within in = the class-A=20 envelope of operation. A reference voltage should be noise-free = and=20 temperature-independent. Fortunately, cheap, excellent IC voltage=20 references are readily available. Protracted asymmetrical signals = are rare=20 in most music, although some instruments do produce asymmetrical=20 waveforms, such as the trumpet and piano. Usually, the input = signal=20 averages to something close zero with most non-electronic music = (with=20 computer-generated music, who knows). The last requirement is the = hardest=20 to meet. Reactive loads and wide dynamic ranges conspire to kick = the=20 output stage out of class-A into class-AB operation.

Once the output stage leaves class-A mode, the DC servo will = see a net=20 DC increase at its inverting input and it will strive to bring the = amplifier back into line with its reference voltage. Given a long = enough=20 period of excessive current swinging, the bias voltage will be = thrown far=20 too negative and the once class-A amplifier might end up operating = in=20 class-C, as the output devices might be completely biased off (of = course,=20 some tubes are so sloppy at their cutoff region that they never = cut off).=20 If a global feedback loop is in place, the feedback will try to = save the=20 day, but distortion will still be quite high; in the absence of = feedback,=20 the amplifier may not amplify input signals below its new DC bias=20 threshold, producing grotesque distortion as a result.

=20

A cathode-bias alternative is easy to implement. The cathode = resistor=20 is replaced with a capacitor-bypassed constant-current source. The = constant-current source strives to maintain a constant DC current = draw and=20 the bypass capacitor shunts the AC sign to ground. The = constant-current=20 source can be made from another tube or from solid-state devices, = the=20 latter being much cheaper and more reliable. For example, a lowly = LM317=20 makes an excellent constant-current source in this application, as = it only=20 requires one resistor and a bypass capacitor. Unfortunately, the = same=20 problems of asymmetrical signals and output stage=92s current = swings outside=20 the class-A envelope of operation limit this circuit=92s = usefulness. The=20 same workaround that was suggested for the cathode-biased = amplifier can be=20 used here: a zener in parallel with the cathode resistor, which = limits the=20 bypass capacitor voltage charging after a large current = swing.

More to come
So = far, we=20 have seen that no auto-bias circuit is difficult even with class-A = amplifiers. How do we tackle claas-AB amplifiers? The answer will = have to=20 wait until the next blog entry, as I am way over my typing limit. =

//JRB

     

 

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