Practicality of methods of stability analysis for nonlinear reactor systems

The domains of stability predicted by Lyapunov's direct method and a modified semigroup method were compared with a direct numerical solution of a space-time nonlinear reactor system. The example employed the xenon-induced flux oscillation problem. It was found that the Lyapunov method and modified semigroup method were very conservative when compared with the numerical solution approach. No domain of stability was found with Lyapunov's method, while the semigroup approach showed a domain of stability nine orders of magnitude more conservative than that predicted by the numerical solution.

Name thesis:degree_name

M.S.

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Nuclear Science and Engineering

Department dc:contributor.department

Nuclear Science and Engineering

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1977

Author dc:creator

• Kunsitis, Thomas Joseph

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10919/114722

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/114722