Symbolic Harmonic Analysis of Quartz Crystal Oscillators

Nicolas Ratier (1) , Michaël Bruniaux (1) , Rémi Brendel (1) , Jérome Delporte (2)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 CNES - Centre National d'Études Spatiales [Toulouse]

The Nonlinear Dipolar Method is dedicated to the simulation of quartz crystal oscillator with high quality factor. In this method, the oscillators is considered as a resonator connected across an amplifier that behaves like a nonlinear dipole whose impedance evaluated at resonator's frequency depends on the current amplitude. This dipole allows us to compute very quickly the behavior of the oscillator. The computation time of the dipolar impedance by Spice is of the order of a few seconds. To gain one order of magnitude in the simulation time of the oscillator, this paper propose a modification of the Nonlinear Dipolar Method by changing the dipolar impedance Spice's calculation, that is the most time consuming part of the program, by a system of equations obtained through a symbolic manipulation of the circuit equations.

Domaines: Electronique

Nicolas Ratier, Michaël Bruniaux, Rémi Brendel, Jérome Delporte. Symbolic Harmonic Analysis of Quartz Crystal Oscillators. IEEE International Ultrasonics, Ferroelectrics, and Frequency Control 50th Anniversary Joint Conference, Aug 2004, Montréal, Canada. pp.CD. ⟨hal-00345207⟩