Could I see a derivation and reasoning behind how Q(Tg) is converted to phase margin? I'm having a tough time understanding what's going on under the hood and how NISM actually works.
Sorry, but no, we will not provide the mathenatical derivation, or final mathematical solution for products we sell.
For clarification, rhe stability result is not approximate, it is exact. But this is stability margin and the transform to phase margin is only exact for a 2nd order system. Higher orders will be approximate.
This was my PhD thesis, which I gave up since I wouldn't publish this derivation. It's one of our premier products, so we won't be publishing it any time soon. It is based on Nichols and includes the maximal response, so it is actually an assessment of stability margin, mapped to 2nd order Bode.
It isn't an approximation, it's an exact solution.
We did make it available for most VNA's, though, so it is very accessible, just not the derivation or the final equation.
if I understand correctly, by doing impedance measurement, phase margin can be estimated, but considering that stability is not only Phase Margin related but Gain Margin as well, I am wondering if additional measurement for Gain margin estimation is needed?
Sorry, but no, we will not provide the mathenatical derivation, or final mathematical solution for products we sell.
For clarification, rhe stability result is not approximate, it is exact. But this is stability margin and the transform to phase margin is only exact for a 2nd order system. Higher orders will be approximate.
Hi Nicholas,
This was my PhD thesis, which I gave up since I wouldn't publish this derivation. It's one of our premier products, so we won't be publishing it any time soon. It is based on Nichols and includes the maximal response, so it is actually an assessment of stability margin, mapped to 2nd order Bode.
It isn't an approximation, it's an exact solution.
We did make it available for most VNA's, though, so it is very accessible, just not the derivation or the final equation.