Practicality of methods of stability analysis for nonlinear reactor systems

dc.contributor.authorKunsitis, Thomas Josephen
dc.contributor.departmentNuclear Science and Engineeringen
dc.date.accessioned2023-04-20T14:53:53Zen
dc.date.available2023-04-20T14:53:53Zen
dc.date.issued1977en
dc.description.abstractThe 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.en
dc.description.degreeM.S.en
dc.format.extentvi, 50 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/114722en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 33395994en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1977.K95en
dc.titlePracticality of methods of stability analysis for nonlinear reactor systemsen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineNuclear Science and Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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