Bob Cordell's Power amplifier book

I have also been looking at distortion in the input current that is in the common mode, caused by Early effect distortion in the IPS tail current source. The tail current source in Doug's Blameless design being discussed here has quite poor Early effect immunity

Which is discussed in APAD 6th edtion on page 148.
It is then demonstrated that cascoding fixes this.

Maybe you missed that bit.

We must always bear in mind that it is very important to have a near-ideal tail current source in order to achieve lowest distortion.

I would suggest that this is not proven. A simple current-source usually works very well. Of course it depends on what you mean by 'near-ideal'.
 
We can calculate the nonlinear base current due to Vaf to see if it matches the distortion figures.

Cordell's BC550C model tells me Vaf is 162 and from experience Hfe is about 500. Let's say 20Vce, 5mA Ic, and 1V input.

Vaf is the voltage at which Hfe doubles (Ever heard that before? I hadn't, until I figured it out). So from 0 to 20Vce Hfe rises by 500Hfe/162Vaf*20Vce=+61.7Hfe at quiescent. 561.7Hfe/162Vaf*1Vppce=3.47Hfepp variation across a 1V input sine wave. 5mA/561.7-5mA/565.17=54.7nApp total error base current, which we can assume is mostly 2nd harmonic.

The Vbe modulation due to this current is canceled by the symmetry of the LTP so we can set it aside.

So let's assume 1k total unbalanced source impedance. 57nA*1k means 57uV error per 1k imbalance. 57uV error in 1V is 0.0057%. Most of this is still the fundamental though so it doesn't contribute to THD.

I've compared simulated Vaf directly with Vaf measurements and the real Vaf is nonlinear whereas the simulated Vaf is not. I would say that outside quasi-saturation, Vaf is probably better than 5% linear within a 1Vce range. This would make our final THD figure somewhere under .0057%*5%=.000285% (the data is noisy so it could be much lower).

Note that even if all of the Early effect error were harmonics, THD could not be more than 0.0057% with 1k unbalanced source resistance. For instance if you said that Early effect could cause 0.005% distortion (I don't have Self's book so I don't know what he claimed), then you are saying that the base current is 88% harmonics.

But if that were due to Early effect over a 1V change in Vce, then over 20V or so those errors would compound and this would easily be visible on Ic/Vce charts in the datasheet. In reality those lines are usually ruler-flat outside of quasi-saturation. So in a way the datasheet actually disproves that a large amount of harmonics are coming from Early effect.

So while simulation might not catch all the nonlinearities of Early effect, the discrepancy is not necessarily very significant unless you are at very very low distortion.

Note that this in no way addresses distortion coming from Cob nonlinearity.

In saying that VAF is the voltage at which hfe doubles, I assume you are referring to Vcb, so the "reference" hfe is at Vcb=0V. Is that correct? I had not heard that description of VAF before, either. I think that you are also right about the nonlinearity in Early effect being fairly small once one is reasonably far away from quasi saturation. Even if Earlt effect is modeled as linear, the key is that it models current gain as being a function of Vce, and when a transistor parameter varies with signal, we have the potential for distortion. So even though SPICE models Early effect as linear, the simulation should catch the majority of distortion caused by Early effect.

In looking at input current signal and its distortion, a significant component can be in the common mode, due to Early effect or other effects in the tail current source. With perfectly balanced circuitry and a perfect current mirror, this will largely come out in the wash EXCEPT for input current. If the tail current has some signal current in it, and that signal current is distorted, that distortion will appear as distorted input current.

It is worth noting that nonlinearity in the tail current will appear in the amplifier output even with zero source and feedback network impedances if the current mirror is not perfect (i.e., if it has finite common-mode rejection). Amplifiers that do not use a current mirror will be especially vulnerable to distortion in the IPS tail current. The IPS tail current source wants to be really good in any high-performance design.

In simulation, I discovered significantly distorted signal input current, to the tune of about 2.5% THD-1 at 1kHz in the Blameless design that Self put forth in discussing input current distortion. Through several simulation experiments, I discovered that this distortion was mainly coming from distorted signal current in the LTP tail current (NOT input-referred distorted current from the forward path). Further experimentation showed that the distorted tail current signal was a result of the bias line that was shared between the VAS feedback current source and the IPS tail current source (NOT from Early effect in the tail current source transistor). This was discovered by creating the tail current source from a completely independent feedback current source, and seeing that the distortion in the tail current and input current went down by a factor of about 5.

The sharing of the bias among the VAS and tail current sources is a very bad idea, asking for trouble. It appears to be the major contributor to the nonlinear input current that I have seen thus far in the simulations I have done. That problem is fixed by spending merely that one transistor and resistor that was foolishly saved by sharing the bias line.

Cheers,
Bob
 
I'm not sure if the earlier comments RE: simulation were being directed at you; certainly I didn't read it that way and thought they were just more general. I view the ability to use "ideal" components in simulation as one of simulation's most powerful benefits. So thank you for your contributions also.
Hi Harry,

thank you for the effort and the kind words. But I think it is better to not to contribute here.

Thanks again for the D44/D45 models that you made available some time ago.

Apart from the technical issues I have learnt in this thread that OTL amps may be mentally dangerous if abused.

Kind regards,
Matthias
 
Last edited:
Disabled Account
Joined 2012
A technique for stabilising RF power amplifiers against parasitic oscillation.

See:

Neutralization of RF Amplifiers

I have never heard of its use in audio amplifiers.

It can do that.... but not its main use.

It works well for any amplifier... audio included. I told John Curl how to do it decades ago for diff pair ips. JC tried it and it worked for him also.

It extends BW by cancelling the IPS stage C's. And, thereby also reduces distortion from that device's C.


THx-RNMarsh
 
Last edited:
AX tech editor
Joined 2002
Paid Member
Took a while for me to spot it too! Current in C1, R2, C3, R6 (input network to current-measuring in-amp).

I don't think that that makes a difference. There is nothing connected to the node R1 -> bQ1. So each and every electron through R1 goes into the base.
Then how can I(R1) != I(bQ1)? Schematic post 8488, right?

BTW Nice to see you here again Harry. Trust you are doing well!

Jan
 
Disabled Account
Joined 2012
take diff ips (bjt) ---- connect a value of c to collector of one and to base of other. do it that way to both bjt.

Roughly, if the C are same as ips c's, they cancel.

You can use a backwards diode or better, another transistor as diode of same type as ips diff. and get better dynamic cancellation using diode C.

I just found you a schematic of my description. Best though to use c of same transistor connected as diode. [for CN1 and CN2]

US07256646-20070814-D00000[2].png




THx RNMarsh
 
Last edited:
Member
Joined 2011
Paid Member
In saying that VAF is the voltage at which hfe doubles
In high school geometry it's called "similar triangles".

Triangle AOX is similar to triangle ABY since (i) both are right triangles, and (ii) both have the same acute angle XAO (== acute angle YAB).

Since the base of triangle ABY is exactly twice the base of triangle AOX, the height of triangle ABY is also exactly twice the height of triangle AOX.

At the same base current, when VCE=Va the collector current has doubled, from X to Y. Thus the ratio Ic/Ib has doubled.

It's geometry.

_
 

Attachments

  • geometry.jpg
    geometry.jpg
    180.4 KB · Views: 398
Disabled Account
Joined 2008
We can calculate the nonlinear base current due to Vaf to see if it matches the distortion figures.

Cordell's BC550C model tells me Vaf is 162 and from experience Hfe is about 500. Let's say 20Vce, 5mA Ic, and 1V input.

Vaf is the voltage at which Hfe doubles

Hi
Is this something that you have measured or is it done by simulation?
If it's done by simulation I think that it's important to understand that when it comes to VAF some BJT "LTSpice" Models are very wrong.
BTW.: I dont think that "Vaf is the voltage at which Hfe doubles" is a correct statement.

All the best
Reodor
 
AX tech editor
Joined 2002
Paid Member
In high school geometry it's called "similar triangles".

Triangle AOX is similar to triangle ABY since (i) both are right triangles, and (ii) both have the same acute angle XAO (== acute angle YAB).

Since the base of triangle ABY is exactly twice the base of triangle AOX, the height of triangle ABY is also exactly twice the height of triangle AOX.

At the same base current, when VCE=Va the collector current has doubled, from X to Y. Thus the ratio Ic/Ib has doubled.

It's geometry.

_

Neat! I learned something!
 
Which is discussed in APAD 6th edtion on page 148.
It is then demonstrated that cascoding fixes this.

Maybe you missed that bit.

I would suggest that this is not proven. A simple current-source usually works very well. Of course it depends on what you mean by 'near-ideal'.

It also fixes it by doing the tail current source as an independent feedback current source, which is the way it should have been done in the first place. By obtaining the bias for the tail current source transistor from the VAS feedback current source, you lost all of the Early effect immunity that would have been achieved simply by using a separate feedback current source for the LTP.

I should have been more clear about what I meant by ideal current source. It should be one with a very high output impedance. I did not mean that it needed to be extremely accurate or accurately temperature compensated.

Cheers,
Bob
 
(emphasis added by me). These two statements do not appear to be in agreement. What am I missing?

I had to go back over the post and remove all my errors, that one slipped by. the 57nApp would be mostly fundamental, and the 5% guesstimated nonlinearity applies to it, so only a small fraction of it would be harmonics.

I make mistakes! :eek:

People don't always catch them though. :eek:
 
Last edited:
Hi
Is this something that you have measured or is it done by simulation?
If it's done by simulation I think that it's important to understand that when it comes to VAF some BJT "LTSpice" Models are very wrong.
BTW.: I dont think that "Vaf is the voltage at which Hfe doubles" is a correct statement.

All the best
Reodor

I mentioned in the post that I compared the simulation models to actual measured data, which is where I got the figures from. The measured data is noisy, but it does give an idea of the worst case nonlinearity of Early effect.
 
Last edited:
Hi
Is this something that you have measured or is it done by simulation?
If it's done by simulation I think that it's important to understand that when it comes to VAF some BJT "LTSpice" Models are very wrong.
BTW.: I dont think that "Vaf is the voltage at which Hfe doubles" is a correct statement.

All the best
Reodor

You are right - many transistor models out there (LTspice or not) are very wrong when it comes to the VAF value. Measuring VAF with DC measurements must be done very carefully to avoid heating the transistor junction and thereby increasing beta. A better approach may be to set up a jig that measures dynamic output resistance of the transistor when connected in CE mode and properly biased.

Cheers,
Bob
 
I don't think that that makes a difference. There is nothing connected to the node R1 -> bQ1.

Yes, there is. Nodes either side of R1 are labelled "r" and "b" respectively. These nodes are then connected to C1 and C3 respectively.

BTW Nice to see you here again Harry. Trust you are doing well!

Not too bad thanks but don't get any time to do any audio research :( Too busy with other things at home and work. Like this (open-access (free access to all) IEEE Transactions on Power Electronics paper).
 
I don't think that that makes a difference. There is nothing connected to the node R1 -> bQ1. So each and every electron through R1 goes into the base.
Then how can I(R1) != I(bQ1)? Schematic post 8488, right?

BTW Nice to see you here again Harry. Trust you are doing well!

Jan

in http://www.diyaudio.com/forums/soli...lls-power-amplifier-book-849.html#post5297500 #8490
r (left side of C1) is connected to r (right side of C2)
b (base of Q1) is connected to b (left of C3)
and from there to R2, R6 and U1 :)
 
Last edited: