Series Pass Regulator Design Guide: Transfer Function & Compensation

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The discussion centers on finding resources for designing a series pass linear regulator using discrete components, with a focus on understanding transfer functions and compensation techniques. Participants share a useful TI application note that clarifies stability and gain calculations, emphasizing the importance of loop gain for voltage accuracy. There is a request for specific books on linear regulator design, as most available literature focuses on switch-mode power supplies. Suggestions include looking for older texts from the mid-20th century that cover practical aspects of power supply design. The conversation highlights the challenge of finding comprehensive resources specifically dedicated to linear regulators.
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Does anyone know of any good references for a detailed guide designing a series pass regulator along with compensation?

I'm having some trouble getting the plant transfer function and would really benefit from some book or video or application note on this topic.

Even an older thread on this topic would be useful (I've been searching and I will continue to search)

Thank you in advance.
 
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Dextrine said:
series pass regulator

can you clarify that please -- just trying to determine you definition
are you talking about a linear voltage regulator ?
a specific IC or a circuit with discrete components ?
 
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davenn said:
can you clarify that please -- just trying to determine you definition
are you talking about a linear voltage regulator ?
a specific IC or a circuit with discrete components ?
Yes, sorry for being vague. I would like to make a series pass linear regulator using discrete components.
 
Dextrine said:
Yes, sorry for being vague. I would like to make a series pass linear regulator using discrete components.
What reading have you done so far? What regulation specs do you strive to achieve? It's a lot easier to achieve 10% regulation over a small temperature range than 5% regulation over the Industrial temperature range... What are your load characteristics? What is the application?
 
berkeman said:
What reading have you done so far? What regulation specs do you strive to achieve? It's a lot easier to achieve 10% regulation over a small temperature range than 5% regulation over the Industrial temperature range... What are your load characteristics? What is the application?
Well, I don't have anything particular in mind, which is why I was looking for a book or something generalized. Maybe some sort of technique?

The best I've found is this article:

http://www.ti.com/lit/an/snva020b/snva020b.pdfI completely understand what they're doing up until the point where one would need a full transfer function. They start talking about the frequency response characteristics, which all make sense to me, but the gain, how to calculate the gain, is specifically where I am stuck.

I'm pretty sure there should be a factor of Rload/(Rds+Rload) multiplied in there, but when I draw out my feedback loop, there's no place for it.
 
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Dextrine said:
I completely understand what they're doing up until the point where one would need a full transfer function. They start talking about the frequency response characteristics, which all make sense to me, but the gain, how to calculate the gain, is specifically where I am stuck.

In that paper they use assumed open loop gain of 80db throughout. See page 8, and every Bode plot.
Section 7 is a remarkably clear nuts-and-bolts level explanation of stability .

In a voltage regulator, loop gain directly determines regulation
so
the more gain the better will be its voltage accuracy under changing load . You'd like infinity if you could achieve it.

Do you see that fig 4 has for input to error amp = (k X Vout) - Vref ,
where k = (attenuation of divider R1 & R2) = R2 / (R1 + R2) and is a not very small number typically between 0.1 and 1 ?
So gain of the loop = whatever is ( gain of error amp ) X (gain of the two transistors ) X 1/k ?
They've assumed 80 db which is a good sized number. I get 10,000 what do you get ?

So, when opamps became available the approach became grab all the gain you can muster , tune the loop for stability over frequency range of your amplifier.

Dextrine said:
I would like to make a series pass linear regulator using discrete components.

For a first design with discrete components , just grab a nice zener diode and tack an emitter follower behind it.
Here's a far simpler "How To " from TI : https://e2e.ti.com/blogs_/b/powerho...ies-linear-regulator-with-discrete-components

linearregulator1.jpg


i hope above helps.

@Dextrine That TI application note you found is wonderful, i'd not seen it before.
 
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Thanks for all the input Jim,

Yeah I went through and re-read line by line and when I saw that 80db assumed gain I thought "dang it I should have read closer from the beginning and saved a lot of work"

I think I got it now though, I tried a simulation and everything makes sense, I have a great phase margin, plenty of stability. All in all great success!
 
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Dextrine said:
everything makes sense
That's what counts.

We love to see "the light click on" .Thanks for updating us !

old jim
 
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So, coming back to my original question, are there any books specifically for designing linear regulators (including compensation/control)? I keep finding plenty of books entirely on SMPS but none strictly for linear regulators. There are some white papers here and there but not any rigorous textbook. Are they just considered too simple to warrant a book?
 
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Dextrine said:
So, coming back to my original question, are there any books specifically for designing linear regulators (including compensation/control)?

I only remember some paperbacks from 1960's. Linear Power Supply design is a subset of analog transistor circuit design.
This series was "The Bible" back then, should be still around in the used market.

https://www.amazon.com/dp/0070637377/?tag=pfamazon01-20

Might be some old timers here who still have a book specific to power supply design. A good one will cover thermal mounting, heatsinks, shielding, ventilation, capacitors, inductors and transformers.

Good Luck. Look for older books from 1940's through 1960's. They tend to be more practical oriented.
You can build a nice reference library that way without spending a fortune.

old jim
 
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