Stability analysis of an autonulling AC bridge for use with silicon-based sensors

Author

Bey, Paul P., Jr. ; Yonce, David J. ; Fare, Thomas L.

Author_Institution

Center for Bio/Molecular Sci. & Eng., Naval Res. Lab., Washington, DC, USA

Volume

41

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

210

Lastpage

219

Abstract

A novel circuit incorporating integral feedback to automatically null an AC bridge is analyzed and discussed. Stability of the feedback scheme is examined by linearizing the system near the critical point (null) of the bridge using a standard perturbation method. Solutions of the nonlinear coupled differential equations that describe the operation of the autonulling AC bridge were obtained by numerical integration. A prototype was constructed using integrated circuits and discrete components to measure the transient response; test results of the circuit from transient impedance changes are compared to the time-dependent numerical solutions

Keywords

bridge circuits; bridge instruments; closed loop systems; electric sensing devices; feedback; linearisation techniques; nonlinear differential equations; nonlinear network analysis; perturbation techniques; stability criteria; transient response; Si-based sensors; autonulling AC bridge; discrete components; integral feedback; integrated circuits; nonlinear coupled differential equations; nonlinear feedback network; null point; numerical integration; perturbation method; stability analysis; transient impedance changes; transient response; Bridge circuits; Circuit stability; Circuit testing; Coupling circuits; Differential equations; Feedback circuits; Impedance measurement; Perturbation methods; Prototypes; Stability analysis;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.273920

Filename

273920