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Opamp error amplifier Theory and calculation

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adnan012

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hi,

I need detailed explanation for error amplifiers used in switching power supplies.

How different parameters like cross over frequency, gain etc are calculated?
 

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The error amp is only part of the overall open loop, as you know.
But yes you need to find the transfer function of it.....so your one above, it is Zfb/Zin....use complex numbers to work it out.

So you need the Power stage & modulator small signal trxfer function
Then you also need the error amplifier small signal transfer function.
Then multiply them
The take logs
Then plot Magnitude (db) vs frequency
And phase vs frequency.

Spot the gain and phase margin,
See if they are ok

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here it is explained for you
https://ac-dc.power.com/sites/default/files/product-docs/an57.pdf
 
The buck converter is easy to regulate, compared to other smps. It is possible to make a regulated buck from an op amp (simulated, anyway).



Connect different nodes to the inverting input, to get different types of regulation (voltage, current). My simulation shows three positions where you can tap.

You want a certain amount of hysteresis. You don't want to delay the feedback signal for very long, or else you get undesired voltage swings at the output.
Similarly if gain is too high, then it can cause large output voltage swings.
 
here is something, also remember that your drawn error amp in top post drives its output till its inputs are equal in voltage...the circuit (smps) is set up so that when that happens (both opamp inputs same) you are in regulation.
Remember opamp with negative feedback..you expect to see the inputs the same voltage.

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look at the attached ltspice sim of error amp regulating linear regulator..see how it works

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it might be linear regulator but principle is same as error amp in smps, except in smps, the error amp output determines the duty cycle
 

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  • _3 Loop Gain Crossover Frequency.pdf
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  • linreg.txt
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