The Designer's Guide Community Forum

The Designer's Guide Community Forum
https://designers-guide.org/forum/YaBB.pl
Measurements >> RF Measurements >> Damped harmonic oscillator
https://designers-guide.org/forum/YaBB.pl?num=1332147315

Message started by Brandon on Mar 19^th, 2012, 1:55am

Title: Damped harmonic oscillator
Post by Brandon on Mar 19^th, 2012, 1:55am

Hi,
I am trying to deduce a relationship between the resistance caused by hysteresis and skin effect of a parallel LC circuit and the difference in period measured at two different times while the oscillations are dying out. Below is a link where I describes the phenomena briefly:

http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html#c2

I have a setup where with a uC I can measure time with a resolution of 100ps. I will try to take measurement at different intervals and by knowing the exact values of inductance and capacitance, I will derive also the q-factor.(by finding ζ)

I also need to figure out how I shall model this resistance. Should it be parallel to the circuit or should I have a single resistance in series with every component? A recommendation of good book on this matter would be really appreciated.

Title: Re: Damped harmonic oscillator
Post by RFICDUDE on Mar 19^th, 2012, 4:40am

There are good papers with additional references located in the Modeling section of this website:
http://www.designers-guide.org/Modeling/

The FracPole suite (used for modeling loss in inductors and capacitors)
http://www.designers-guide.org/Modeling/suite.pdf

Simulation and modeling of nonlinear magnetics
http://www.designers-guide.org/Modeling/mag.pdf