The Designer's Guide Community Forum
https://designers-guide.org/forum/YaBB.pl Design >> Analog Design >> could damping factor >>1 https://designers-guide.org/forum/YaBB.pl?num=1280468119 Message started by casual on Jul 29th, 2010, 10:35pm |
Title: could damping factor >>1 Post by casual on Jul 29th, 2010, 10:35pm For a over-damped pll system, the zeta (damping factor) must be >> 1. I checked the damping factor formula (Cartesian plane), it shows zeta=wn*cos(theta)/wn = cos(theta), which is bounded by +1,-1 from mathematics aspect. could zeta/damping factor >>1? |
Title: Re: could damping factor >>1 Post by raja.cedt on Jul 30th, 2010, 10:51pm hello, when you are saying damping factor is cos function you are assuming that pole are on complex plane, so damping factor is between 0 to 1. If pole are on the real axis then damping factor will be more than one. So your cos formula don't catch this one. Assume you have poles at A+JB and A-jB so total equation is S^2+2AS+A^2+B^2, so damping factor is A/(sqrt(a^2+B^2)..so geta is cos function. when they are on the real axis this equation is not correct. Hope you got the point. Thanks, Rajasekhar. |
Title: Re: could damping factor >>1 Post by casual on Jul 30th, 2010, 10:57pm yup, it is same as what I assumed. So the cos(theta) formula is only applicable until critical damped pll when zeta=1. any other comments? |
Title: Re: could damping factor >>1 Post by raja.cedt on Jul 31st, 2010, 1:17am yes...or you can say if poles are in complex plane only |
The Designer's Guide Community Forum » Powered by YaBB 2.2.2! YaBB © 2000-2008. All Rights Reserved. |