Sensitivity analysis of self-excited oscillations in non-linear systems: an application to electronic oscillators
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Authors
Ball, Ernest Charles
Subjects
Sensitivity
Parameter plane
Oscillators
Non-linear systems
Parameter plane
Oscillators
Non-linear systems
Advisors
Thaler, G. J.
Date of Issue
1966-12
Date
December 1966
Publisher
Monterey, California. U.S. Naval Postgraduate School
Language
en_US
Abstract
Electronic oscillators are studied as an application of the general method in the parameter plans of analyzing non-linear systems with self-excited oscillations. Computational methods are developed which avoid the lengthy calculations required by the general method for the second and third order systems which arise. The single parameter and multi-parameter sensitivity of the frequency characteristics are determined and it is demonstrated that these sensitivity measures may be used to determine the best configurations of networks to be used to minimize sensitivity to specific parameters. The method employed suggests application to the frequency characteristics of passive and active filters. A specific problem illustrating the failure of the C=0ontour in the parameter plans to complete delineate regions of stable and unstable solutions to the system differential equation is included in the appendix. No solution is given but suggestions as to how this apparent paradox arises, are made.
Type
Thesis
Description
Series/Report No
Department
Department of Electrical Engineering
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funding
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
Copyright is reserved by the copyright owner