From: "Saved by Internet Explorer 11" Subject: Amplifier auto bias circuits: Broskie auto-bias circuit Date: Wed, 8 Apr 2015 11:52:37 -0700 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0022_01D071F2.822DD350" X-MimeOLE: Produced By Microsoft MimeOLE V6.1.7601.17609 This is a multi-part message in MIME format. ------=_NextPart_000_0022_01D071F2.822DD350 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.tubecad.com/2005/May/blog0045.htm =20 =20 Amplifier auto bias circuits: Broskie auto-bias circuit = =20 =20 =20 =20 =20 =20 =20 =20 =20 =20 =20
=20
John=20 Broskie's Guide to Tube Circuit Analysis & Design =

09 May 2005

=20 Broskie Auto-Bias = Circuit=20

Schematic typos
= Considering=20 that I had complained of a schematic typo from Siliconix, it is = doubly=20 embarrassing that that April 29's blog held a few schematic typos = of my=20 own creation: in the variation on Morgan Jones's circuit one of = the=20 resistor's values was off by a decade and, more damning, one of = the=20 OpAmp's inputs was reversed. Below, the corrected schematic is = displayed.=20 (The 4/29=20 blog has been updated to reflect these corrections.)

=20


First, an auto-bias = recap
The=20 generic DC servo circuit (shown below) works perfectly as long as = the=20 amplifier does not amplify asymmetrical signals and as long as the = output=20 stage=92s current swings are within in the class-A window of = operation.

=20

However, once the output stage jumps out of class-A into = class-AB=20 operation, the DC servo will see a net DC increase at its = inverting input=20 and it will strive to bring the amplifier back into line with its=20 reference voltage, but at the same time the capacitor will begin = to charge=20 to higher voltage, which will throw the bias voltage off = (negatively)=20 until the input signal subsides enough to let it discharge back to = its=20 idle value, as shown in the graph below.


=20

The graph above shows the tube's current conduction in hot = pink, the=20 grid bias voltage in blue, and the capacitor=92s voltage = differential in=20 green. The signal burst excessively charges the DC servo's = capacitor and=20 its output voltage is thrown off the mark by over half a volt = (602mV).=20

The principle behind the clipping-style auto-bias circuits is = also=20 simple: monitor the tube=92s current conduction while it is = operating in=20 class-A; ignore its AC conduction beyond class-A, when the tube = moves into=20 class-B. The clipping diode shorts to ground error signals greater = than=20 its forward voltage. In other words, the clipping diode's forwards = voltage=20 creates a window that extends from 0V to the cathode-to-anode = voltage=20 required to turn the diode on (silicon diodes also have cathodes). =

By setting the DC servo=92s reference voltage to half of the = diode's=20 forwards voltage, we ensure that the window of current encompasses = the=20 extent of class-A operation that the tube(s) can undergo, without = one tube=20 cutting off, while the other conducts beyond the window=92s top = edge. This=20 plan works perfectly with no input signal; well with large input = signals=20 that extend deep into class-B; not so well with input signal just = beyond=20 class-A operation of the output tubes.


Broskie auto-bias = circuit
=20 What if we don=92t clip the error signal? What if, instead, we = use it to=20 prevent the DC servo's capacitor's excessive charging from = throwing the=20 bias voltage off? Well, that=92s the idea behind the Broskie = auto-bias=20 circuit.


Broskie auto-bias circuit

How does it work? The triode's idle current must be great = enough to=20 establish the same voltage across the cathode resistor as the = diode=92s=20 forward voltage, as this voltage is used as the servo=92s = reference voltage.=20 (Imagine that the diode that attaches to the tube=92s cathode has = been=20 removed from the circuit, which it effectively is at idle). The = OpAmp=20 compares the cathode voltage to its reference voltage and then = establishes=20 and maintains grid-bias voltage required to meet this compulsory = idle=20 current.

=20

Now, as long as the tube runs within the boundary of twice the = diode=92s=20 forward voltage (Vd) at its cathode, the triode will operate in = pure=20 class-A and the DC servo will handle setting the bias voltage = quite=20 nicely.

=20

Once the tube leaves the confines of class-A, however, its = cathode=20 voltage will exceed twice Vd and the diode attached to the cathode = will=20 begin to conduct, charging C2 as a result. Since capacitors C1 and = C2 are=20 equal in value, as are resistors R1 and R2, the rate of charging = will be=20 the same between both capacitors. In other words, the DC servo=92s = reference=20 voltage will be thrown off in a matching way as the servo=92s own = capacitor=20 is thrown off. It=92s much like docking a boat to a floating dock: = no matter=20 how much the tide rises or falls, the boat will remain in the same = relation to the dock.

=20

In the schematic above, we see all the part = values and=20 voltages labeled. In SPICE simulations, these values worked best = (and of=20 course, real values may differ).

How well does it = work?=20
Starting at a 1kHz input signal of 10 volts peak, = the bias=20 voltage is thrown off by about 3mV, the same amount of voltage = that=20 capacitors, C1 and C2, differ in change of their charge after the = tone=20 burst. With a 2V input signal, the bias voltage is off by only = 84=B5V. Ah,=20 how easy it is to lie with data! Given just these two data points, = we=20 might reasonably conclude that the error grows with the magnitude = of the=20 input signal; it doesn=92t. With a 1V input signal, the bias = voltage is off=20 by only 5.95mV. (An analogous example of statistical lying by = omission=20 would be to only point out that those with PhDs make less = money=20 than those with only master degrees. Therefore, the more = education, the=20 less income. But if we point out that those with master degrees = make more=20 money than those with bachelor degrees, who in turn make more than = those=20 with two year college degrees, who also in turn make more than = those with=20 only a high school diplomas =85, an entirely different conclusion = is=20 reached. So, which is right? Careful: a trick question.)

=20

The above graph shows the circuit=92s bias = voltage error=20 in millivolts against input signal. Interestingly, the greatest = departure=20 from the desired bias voltage occurs at the 1-volt input signal. = This=20 makes sense, as the 6DJ8 is approaching the class-A boundary with = this=20 input signal and the tube undergoes a good bit of rectification; = i.e. it=20 linearity suffers because it is much easier to turn on a triode = than to=20 turn it off. This uneven handling of the sine wave ends up = charging the=20 servo=92s capacitor C1, but the voltage reference=92s capacitor = doesn=92t see=20 any of the rectification, so it isn=92t further charged.

So, how good is the Broskie auto-bias = circuit?
As it stands, not too bad. Having = a=20 small-signal triode=92s bias voltage thrown off by 6mV is not that = bad.=20 (Remember that the triode=92s grid actually sees a slightly = different DC=20 voltage, as the coupling capacitor is biased through a = large-valued=20 resistor.)

One problem this circuit faces is that the tube=92s cathode is = burdened=20 by the presence of the 1N4148 diode and the 6.4k resistor. In the = act of=20 sampling the cathode voltage, we end up influencing the tube by = giving it=20 a nonlinear cathode load. A second, and much more damning, problem = is=20 found in the relatively high-valued cathode resistor (56-ohms in = this=20 example). Ideally, we should be able to choose whether or not the = triode=20 receives a little or a lot of cathode degeneration.

The workaround for the last problem is to amplify the cathode = voltage=20 before using the diode to set a voltage threshold. In the = schematic=20 below, we see an additional OpAmp that both buffers the cathode = voltage=20 from the diode and provides voltage gain, allowing us to use a = much=20 smaller-valued cathode resistor. (When the Broskie auto-bias = circuit is=20 used with MOSFETs or transistors, this feature will become much = more=20 important, because of the much lower power supply voltages used = and much=20 higher currents experienced through the output devices.)


Two-OpAmp Broskie auto-bias circuit =

Note that a single 1M resistor is missing from the voltage = reference=20 portion of the circuit; in its stead, a 10M and 1.11M resistor are = used to=20 create a 10% voltage divider whose output impedance equals 1M, the = same=20 resistor value that the servo uses. (10M in parallel with 1.11M = equals=20 1M.)

Unfortunately, 1% resistors above 2M are hard to find. OpAmps, = on the=20 other hand, are readily available and cheap. The circuit below = uses an=20 additional OpAmp to buffer the voltage reference=92s output before = feeding a=20 fairly low-impedance voltage divider. The source voltage is first=20 amplified by 100 and the voltage-reference voltage is divided by = 100.

=20
Three-OpAmp Broskie = auto-bias=20 circuit

How well does the dual-OpAmp version of the Broskie = auto-bias=20 circuit work? Much better than the previous version, it turns out. =

=20

Not too bad. The bias voltage is only once thrown off by more = than 1mV=20 (1.084mV, to be exact). Once again the most egregious error occurs = at an=20 input signal of 1 volt, but beyond that input level, the auto-bias = circuit=20 works admirably. So much so, in fact, that some of my friends are=20 wondering why I didn=92t apply for a patent on this circuit or = sell it to=20 some big-name audio-equipment company or, at the very least, show = them and=20 no one else. Why did I choose none of the above? Not my style, is = as good=20 a answer as any.

=20

I don=92t believe in patents for circuit topologies and I = don=92t like the=20 idea of only a few people benefiting from a good circuit. (I know = a few of=20 my friends are pulling their hair out as they read this: what=92s = the point=20 of being a magician if you keep revealing how your tricks are = done, and if=20 you aren=92t willing to make a bundle performing them?)

I do ask that if you use the circuit in a commercial product, = give me=20 credit for having come up with it.

Simplest = clipping-auto-bias=20 circuit
Are we done? No, not even close, = but my=20 fingers are done for today. Next time we will look into a hybrid = auto-bias=20 circuit that uses both fixed bias (a potentiometer) and a DC = servo.

//JRB

     

 

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