Parallel Compensation

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promach

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How do I derive expressions 4-4 and 4-5 for the two additional poles and zeroes due to parallel compensation (Rc and Cc) ?

I have derived the equivalent impedance , but I still could not obtain expressions (4-4 and 4-5)



 

promach said:
How do I derive expressions 4-4 and 4-5 for the two additional poles and zeroes due to parallel compensation (Rc and Cc) ?
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I would expect to see terms of both the numerator and denominator of the last equation rearranged on its canonical format (s3+a2s2+a1s+a0) in order to obtain their roots, which with some luck could be simplified through cutting numerator and denominator if the same, which is not easy to see in the current format. Anyway, why don`t you try to calculate the roots for the penultimate equation?
 

calculate the roots for the penultimate equation
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What do you mean exactly by this ?
 

I meant to take the roots of the last but one equation above, the one in the format s2+a1s+a2=0
 

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