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[SOLVED] Self Biased (regulation) circuit problem due to both positive and negative loops

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greenjuice

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Self Biased(regulation) circuit problem due to both positive and negative loops

Hello. I am trying to design traditional self-biased voltage reference.

as you can see attached picture, it has positive and negative loops at the same time.
to realize this circuit, i should make negative loop gain get stronger than positive loop gain.

loop gain of rightward loop(negative loop)
= gm1 * A(amp gain) * (R1 + rQ1)/(R1 + rQ1 + R2A)

loop gain of leftward loop(positive loop)
= gm2 * A(amp gain) * rQ2/(rQ2 + R2B)

Assumption that gm1 = gm2
then, to make negative loop stronger we should follow this
: (R1 + rQ1)/(R1 + rQ1 + R2A) > rQ2/(rQ2 + R2B)
it means feedback factor should determine our loop stability.

it's my own conclusion. so is it right?
i'm not sure
please give your advice.
Thank you beforehand BGR (2).PNG
 

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