The Last Word On Biasing

General

There are only two things to worry about in biasing a guitar amp.  The first and foremost is not to set the bias current so high as to exceed plate dissipation at any portion of the tubes operation, as indicated by that nice warm red glow of melting plates and the sound of a cash register ringing up a new set of tubes.  The second is to not set the bias current so low as to sound bad, which generally means approaching or exceeding class B operation as indicated by the onset of heavy crossover distortion.  Any point in between these two is fair game and is subject to personal taste.  There is no single "correct" bias point.
Biasing methods
How much current?
The other important factor in setting the bias is to know the acceptable range of currents at which the tube can be safely operated, known as the "safe operating area" of the tube.  Unfortunately, without some technical knowledge, you cannot usually look at a schematic or tube type and tell what the correct bias current range is.  The manufacturer should provide a recommended bias current or range of currents for each particular amplifier.  Unfortunately, this is not usually the case, as most manufacturers want you to have to buy their tubes which have been specially "matched" to the amp in question,  usually at a high markup. Other manufacturers are merely copying existing designs, repackaging them, and don't know the correct way to bias an amplifier.

Some "gurus" will tell you that an EL34, for example, needs around 40mA of bias.  This is inaccurate information, because it doesn't take into account the class of operation, or the plate voltages involved.  For instance, an EL34, in class AB operation at 400V, might be biased at 40mA, while the same EL34 tube, used in a true class A circuit at 250V, might be biased at around 100mA.

A general rule of thumb is that class AB amplifiers are usually operated at no more than 70% of the maximum plate dissipation of the tube (to account for the higher dissipation that occurs under signal conditions), while true class A amplifiers generally run right at the maximum plate dissipation (the dissipation at full power is lower than the dissipation at idle in a true class A amplifier).  For example, the aforementioned EL34 tube has a plate dissipation of 25W, so at 400V class AB operation, it should be biased no higher than (0.7 * 25/400) = 44mA.  At 500V class AB operation, it should be biased no higher than (0.7 * 25/500) = 35mA.  This doesn't mean you should automatically bias all tubes to 70% of max dissipation! They can be biased at any lower current if desired, and many people prefer a point of around 50% to 60% of the max plate dissipation, which contributes to longer tube life. In true class A operation at 250V, it should be biased no higher than (25W/250V) = 100mA.  Note that a class A amplifier does not necessarily have to be run at the maximum ratings. You could design a true class A amplifier at lower plate voltages and higher currents, but there is a limit to how high the plate voltage can be without exceeding dissipation ratings, or having to go to class AB.  There is also a limit at how high the plate or cathode current can be for a particular tube. A class B amplifier should be biased right at cutoff, or perhaps a few mA standing current, to minimize crossover distortion. Class B amplifiers usually have extremely high plate voltages in order to maximize the output power, so they must be biased right at cutoff to prevent over-dissipation at full power. If in doubt about the actual operating conditions of the circuit, call the manufacturer or refer servicing to a qualified amp technician.

Note that what most manufacturers pass off as "true Class A" or "pure Class A" push-pull operation is, in reality, merely cathode-biased class AB push-pull operation.  If you use the class A biasing rules for these amplifiers, you may burn up the tubes.  These amplifiers should be biased according to the class AB rule of thumb, but can sometimes be biased a bit hotter due to the larger voltage drop that occurs across the cathode resistor under full signal conditions. For example, if a push-pull amplifier using  EL84 tubes  is operated much above 250V,  it is probably class AB, because you cannot get true class A operation at much higher plate voltages without exceeding the plate dissipation limits, unless you run a very high plate load impedance, which is not typically done.  The operating point in a true class A amplifier is chosen to correspond to a point on the load line where the load line intersects the maximum plate dissipation curve in such a way as to provide relatively symmetrical swing at the output.  This maximizes the output power before clipping and makes the amplifier relatively linear. 

If you run an EL84 at 300V, for instance, the 12W plate dissipation limit requires you to bias the tube at a point where it will be in cutoff for a significant portion of the input cycle, if the load line intersects at or  near the "knee" of the zero bias plate curve as it should,  unless you run a very high load impedance which results in a relatively flat load line that intersects the plate curves at a very low point far from the "knee".  This results in highly nonlinear operation at lower grid bias voltages (for example, the separation of grid bias curves is smaller from 0 to -4V than it is from -4V to -8V).  

The following image illustrates this.  Note the "bunching up" of the plate curves at grid voltages of 0, -2V, and -4V along the load line in comparison to the wider spacing from -8 to -10 to -12V.   The plate voltage swing will be symmetrical along this load line, centered about the quiescent point of 300V,40mA, but almost all the output swing occurs over the grid voltage range of -4V to -14V, indicating considerable distortion . Note that it takes a very high impedance load line of 7.5K (per tube) to accomplish class A operation and stay out of the max dissipation area. If you were to run the amplifier into a lower impedance load line centered about the same bias point (effectively "rotating" the load line clockwise), the plate current would cut off sooner and the amplifier would no longer be operating in class A conditions.  Another downside to running the tube into such a high plate load impedance is the large voltage swings that occur at the plate.  If the impedance is too high, arcing can occur inside the tube, or in the output transformer or across pins on the tube sockets.  In this example. the plate voltage swings almost 600 V p-p with the 7.5K load line.




By contrast, here is an EL84 running at 250V, 48mA into a 4.5K load line (as recommended by the RCA receiving tube manual for class A operation).  Here the load line intersects the "knee" at a higher point, but it is still not really optimal.  The output signal swing along the load line is again relatively symmetrical, but lower in value compared to the above case, which means a lower output power.  Note the effect a lower screen voltage has on the relative position of the plate curves.  In this case, the zero bias grid curve results in a plate current curve of around 150mA, whereas in the previous case of  a screen/plate at 300V, the zero bias curve was at around 200mA.   Lowering the screen voltage has the effect of shifting the whole "family" of curves downward.  Note the much lower plate voltage swing using this load line - around 450V p-p compared to the 600V p-p in the previous example.


After biasing an amplifier, be sure to carefully look at the plates of the output tubes for any signs of reddish-orange glow, usually in the center of the plate, which is the large grey metal piece surrounding the tube elements.  Don't confuse this with the normal filament glow.  If you see signs of plate glowing, you have biased the amplifier too hot, and you must reduce the plate current.  In some cases, particularly with older high-power amplifiers, the tubes will run hot no matter what you do, and the tubes fail frequently, unless you bias the amp very cold.  These amps generally have no series screen resistors on the output tubes.  In these cases, you should add a 1K 5W resistor in series with the screen grid wire on each output tube.  This resistor should be soldered directly to the pin of the socket, with short leads.  Also, the wires going to the screen and plate pins should be kept well away from the wire going to the control grid pin.

What about screen voltage?  Does it change the bias current?
The screen has much more control over the plate current in a pentode than does the plate voltage. However, it does not have as much control as the grid voltage does. When biasing, what counts is *plate* dissipation, which is equal to plate current multiplied by plate voltage. However, you must take into account the duty cycle factor of the class of operation. For most guitar amplifiers, the screen voltage is the same as the plate voltage, and the amplifier is biased in a moderately hot class AB.   As a side note, the screen grid has dissipation limits as well, and you must insure they are not exceeded.  If you see the screens glowing brightly when you apply a signal, you are likely exceeding their dissipation ratings.  A measurement of the voltage drop across the screen grid resistor under signal conditions will allow you to calculate the screen dissipation.

In some amplifiers, the plate voltage is made very high, higher than the maximum allowable screen voltage, so the screen must be run at at lower voltage in order to avoid over-dissipation of the screen grid element, or internal arcing between elements.

In this case, the amplifier is usually biased in class B, or a very cold AB, in order to take advantage of the greater power output capability provided by the higher plate voltage.

At first glance, you might assume that as long as you don't exceed the plate dissipation at idle, you can bias the tube at a current equal to the plate dissipation divided by the plate voltage. However, this will only work in a true class A amplifier, because in a class AB or class B amplifier, the average plate current *increases* above the idle value when amplifying a signal, so the plate dissipation is higher during some point in the output range than it is at idle.  The maximum dissipation point does not necessarily occur at full power, typically it is closer to midscale.  For further details, see this article - Idle Current Biasing - Why 70 percent?

This is where the "70%" factor comes in when bias calculations are given. In a typical guitar amplifier running at moderate class AB duty cycles, the difference between idle and max power dissipation amounts to about a 30% increase, so as long as you don't set the idle current to a level that results in more than 70% of the maximum plate dissipation, you're okay.

As you can see, the screen voltage can affect the maximum allowable bias current, but it is dependent on the plate voltage and the class of operation. If you take a "standard" guitar amp and lower the screen voltage, you can raise the grid voltage (less negative) and bring the bias current right back up to where it was at the original screen voltage without overdissipating the plates at idle or under signal. In this case, since it takes a smaller negative grid voltage to attain the same plate current (because of the lower screen voltage), you will lose headroom. If you don't raise the grid voltage, you will simply have the amp biased more towards class B, with the resultant increase in crossover distortion.

What about cathode-biased amplifiers?
Do cathode-biased amplifiers need to be biased?  The short answer is yes.  The cathode biasing method is self-regulating, to an extent, because increases in cathode current create a larger voltage drop across the cathode resistor, which in turn, creates a larger negative grid-to-cathode voltage, which counteracts the increase in current.  The tube will reach a stable point of equilibrium and stay there.  However, just as different tubes from different manufacturers will draw varying amounts of current in a fixed-bias amplifier, the same is true of a cathode-biased amplifier.  For this reason, the bias should always be checked, even with cathode-biased amplifiers.

Checking the bias current in a cathode biased amplifier is easy, just measure the voltage across the cathode resistor and divide by the resistance value to obtain the cathode current.  Note that if the output tubes share a common cathode resistor, you must divide the current reading by the number of tubes sharing the resistor.  Note also that a common cathode resistor does not allow you to determine the individual currents of each tube, so if one tube is drawing more current than the other, you would not be able to determine which is causing the mismatch,  and, in fact, you would not be able to tell there was a mismatch at all.  You can add individual 1 ohm resistors from the cathode of each tube to the common bias resistor, but you must then measure across the 1 ohm resistors, not from the cathodes to ground, to determine the voltage drop,  and thus the cathode current.  You can also use individual cathode bias resistors on each tube.  The value of the resistor will be double that of the common resistor if two tubes are used, or four times that of the common resistor if four tubes are used.  Each resistor would also have to be bypassed with its own electrolytic bypass cap.

The difficulty with cathode-biased amplifiers is that the cathode resistor must be physically changed for another one of different value in order to change the bias current.  Although it can be done, very few guitar amplifiers have adjustable cathode bias.

Cathode-biased class AB amps are usually exempt from the "70% rule", because their cathode voltage rises when a signal is applied, effectively reducing the bias, and shifting the amp further into class AB operation.  This means you can bias them hotter than a normal fixed-bias class AB amp and the tubes will still survive.  Having said that, you have to experimentally determine how hot you can bias them by finding out how far the bias shifts during signal flow. 

If the cathode-biased amp is "true" class A, there will be no bias voltage shift seen on the cathode when signal is applied, so you can bias at max dissipation and not worry about it. If the amp is actually class AB, you might still be able to get away with biasing at max dissipation because of the large bias shift at full power that pushes the amp into the class AB region, but you should check the tube dissipation at all signal levels.  Note that max dissipation may not occur at full power, rather at somewhere between idle and full power (usually around halfway), so you have to carefully determine the safest max idle current to avoid exceeding the dissipation at any point in the tube's operation.

Do I really need to bias my amplifier every time I change tubes?
You will occasionally hear guitarists say things like "In the old days, we just bought new tubes, stuck 'em in, and started playing", and "We didn't worry about biasing back then, and you don't need to now", or perhaps: "Biasing is a myth".  In most cases, you don't have to bias your tubes when you change them.  You can just plug a new set in and start playing, especially if you aren't too particular about setting up the amp for the absolute best tone.   However, if the new tubes you have plugged in are different enough from the ones that were in there, with respect to current draw for a particular grid voltage, they may end up biased too hot for that particular amplifier.  In this case, your new tubes will start to glow cherry red on the plates, either at idle or while playing, and they will soon be destroyed.  In addition, the tube may short out and take out the output transformer in the process, leading to costly repairs.  Tubes of the same type from different manufacturers will usually vary greatly in current draw at a particularly grid voltage, but even two different tubes of the same type from the same manufacturer can vary widely in their current draw.  For these reasons, it is always best to check the bias after installing a set of tubes.  If you are in an emergency situation, such as a blown tube in the middle of a gig, you can go ahead and stick in your spare tubes, but you should turn the amplifier on and look at the plates of the tubes (the large dark grey metal element) in the dark, both at idle and while playing, just to make sure they aren't glowing red.  Often, when a tube fails, it will take out the screen grid resistor, and any new tube you plug in will glow red, or won't work at all.  In this case, you have no choice but to repair the amplifier before using it.
How important are matched tubes?
Most tube resellers will offer "matched" pairs or quartets, usually at a higher price than unmatched tubes.  Matching generally refers to tubes that have the same current draw for the same given negative grid voltage and the same transconductance, or amplification factor. However, many vendors don't match for both parameters, they often only match for one or the other.  Some vendors claim proprietary matching techniques and won't disclose them.  You should be wary of this, as the tubes you receive may not be matched at all, particularly if your amplifier is different from their test circuit! Although no resellers do it, the ideal method of tube matching is to use a curve tracer and match by characteristic curves.

Idle current matching is important for output transformer current balance. In a push-pull amplifier, the output tubes on each side of the output transformer primary draw DC current through the transformer in opposing directions.  This causes a net DC current of zero, and thus, a net zero magnetization in the output transformer core.  This is important because a push-pull transformer has no air gap to prevent core saturation.  If the offset DC current is great enough, the primary inductance will drop, and the amplifier's low frequency response will suffer.  It doesn't take much offset DC to produce an unacceptable drop in primary inductance in most output transformers. Tubes must be matched at the idle current range to be used in the amplifier, as they may be matched at one particular grid voltage/plate current, but not at another point.  As an alternative to idle current matching, individual bias pots, or a combination bias/balance arrangement, can be used for the output tubes, allowing perfect DC balance even with unmatched tubes.

Transconductance matching is important for AC (signal) balance in the output stage.  A push-pull amplifier has inherent power supply hum rejection and common-mode input rejection due to the symmetry of the output stage.  If one side has a different amplification factor than the other, this symmetry is lost, and the amplifier won't be able to reject power supply hum and noise as well.  However, there is another property of push-pull amplifiers that needs to be considered when discussing transconductance matching, and that is the cancellation of even-order harmonics.  In a properly balanced push-pull amplifier, even-order harmonics generated in the output stage will be canceled out.  Note that even-order harmonics generated in the preamp stages will not be canceled by the output stage, only those generated within the output stage itself will be canceled, otherwise the amplifier would not sound very good!  Some will argue that unmatched tubes actually sound better because of the lack of even-harmonic cancellation.  This is a matter subject to personal taste, so there is no one correct answer, but it does mean that of the two parameters, idle current matching, or DC balance achieved through the use of a bias balance arrangement, is the more important of the two.  Note also that the transconductance varies with the DC bias point, so it is again important that transconductance matching is done at the DC bias range the tubes will be operated at in the amplifier, if truly matched tubes are desired.  Generally, it is not that critical to get such absolute precision, but if the tubes were to be operated at true class A, for instance, at 250V/100mA per tube and they were matched for class AB operation at 450V/30mA per tube, they may not be as well matched as desired.

Note that tubes tend to drift with age, and a matched set of tubes will likely become unmatched after awhile.  Typically, the most drift occurs in the first several hours of use.  For this reason, you should always purchase tubes that have been burned in for several hours before the matching process.  This will minimize the amount of drift later in the tube lifespan.  Many resellers match tubes after only a short warm-up time, which means that they will likely not end up being matched after you install them in your amplifier and play for awhile.  Be sure to inquire as to the burn-in time when purchasing matched tubes.

Disclaimer - READ THIS CAREFULLY:
Beware that tube amplifiers contain lethal voltages.  This is not something to be taken lightly.  If you do not have experience in dealing with high voltage circuitry, do NOT attempt to bias your own tube amplifier, refer the job to a qualified technician.  Even if you do have experience in dealing with high voltages, remember to always keep one hand in your pocket when probing around in a live amplifier.  Remember to always unplug the amplifier before soldering or replacing parts.  Also, remember that the large electrolytic capacitors in a tube guitar amplifier can hold a lethal charge for long periods of time after the amplifier has been turned off and unplugged.  Always discharge the capacitors before working on an amplifier.

Copyright © 1999, 2000,2001,2002,2003  Randall Aiken.  May not be reproduced in any form without written approval from Aiken Amplification.

Revised 10/05/03