Feedback loop speed

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Yesterday I started to read jan.didden thread ( another feedback question ) and some people keep arguing that feedback is slow and incapable of correct errors because of that delay, and this nuisance keep appearing in this forum and other sites again and again.
So I will try to show how fast feedback is, and what are the difference in speed of the different feedback compensation methods.

My last post was more than a year ago, so I may be a little rusty 🙂 .
 
miller compensation

The first topology is the simple miller compensation it has a delay of 227ns at output (in this specific amplifier ) and that diference is visible in this image.
 

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Sergio, you can look at the difference in the driving and the feedback signals at the LTP input transistors. Time difference is visible as a difference in the zero crossing, and the voltage divergence at the apex of the sine is the inverse of the excess Loopgain at the selected frequency.
 
This is the open loop gain of the amplifier, the miller cap is the major cause of the delay, from the output of vas to the output of the triple darlington is only 12ns of delay.

if we change the miller cap from 33pf to 22pf the delay will decrease to 160ns, and the unity gain wil be at 1Mhz.
 

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Some attention is needed when defining terms.
The delay 'of the feedback' is the delay inserted by components in the feedback path, and as these are typically just a few passive components (resistive divider) the delay is negligible (nanoseconds on a well designed PCB).
Propagation delay through the amplifier is a completely different thing, and could well be measured open loop too. So, some clarification is in order.
 
2 pole compensation

This is the delay of 2 pole compensation and is only 233ps ( pico second !!! )
this is a result that I us not expecting as even a 15cm wire has a propagation delay of 1ns.
 

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This is the phase diference between simple miller and the 2 pole compensation.
As one can see in the second image the phase at 20Khz is only 0.002º in the 2 pole compensation, and 1,5º in the miller. The phase is very linear at least to 100khz but there is some peaking at 600khz, this is not a sign of instability is inherent to this type of compensation.
 

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Jan, at first glance I think that the increase loop gain at audio frequency and the decrease in current in the miller capacity can be the reasons for that excellent result.

The 2 pole has 30db more gain at 20khz, and the current in the miller cap is only 3uA, in the simple miller is 80uA. This charging and discharging of the miller cap is for sure the main culprit of the delay in the amplifier.
 

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Delay, is a much smaller influence than the limitation of gain. If all is considered minimal phase network and feedback helps correct the levels, then it will also correct the phase and thus also the delay..
Not sure if you can look at it that way.. But playing around with Spice indicate that something like that is going on. There's delay over components, but very little around the full circuit.
 
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