Analysis of nonlinear modal interaction and its effect on control performance in stressed power systems using normal forms method

dc.contributor.advisor A. A. Fouad Lin, Chih-Ming
dc.contributor.department Electrical and Computer Engineering 2018-08-23T13:33:06.000 2020-06-30T07:08:46Z 2020-06-30T07:08:46Z Sun Jan 01 00:00:00 UTC 1995 1995
dc.description.abstract <p>In this research the nonlinear modal interaction and the effect of the interaction on the stressed power system dynamic behavior including excitation control performance are discussed. A systematic scheme based on the normal forms method for the determination of nonlinear interaction between fundamental modes and excitation control modes in a stressed power system is developed;In a stressed power system, the interarea mode phenomenon may occur under large disturbance. Recent investigations revealed that the interarea mode may be among the power system fundamental modes of oscillation associated with the nonlinear modal interaction. If there is significant interaction, the controls will be affected. Because the conventional control system design techniques do not consider the interaction between modes, it is essential to develop a new approach for a clear understanding of the nonlinear modal interaction and its effect on the system dynamic performance;The proposed approach consists of Taylor series expansion, eigen-analysis, normal forms method, and time simulation. In normal form theory, a set of N-dimensional N system modes is said to be resonant of order r (where r is an integer) if [lambda][subscript]j=[sigma][limits][subscript]spk=1N m[subscript]k[lambda][subscript]k and r=[sigma][limits][subscript]spk=1N m[subscript]k for j = 1, 2, ·s, N. In this research work the second-order approxima-tion of the system equations is used. Second-order resonance condition is characterized by [lambda][subscript]k + [lambda][subscript]l = [lambda][subscript]j. If there are no second-order resonances then all the second-order nonlinear terms can be eliminated successively from the vector field using a set of nonlinear state space transformations. The terms of the nonlinear transformation provide important information regarding nonlinear modal interaction;After identifying the modes associated in the interaction and the extent to which they interact, initial conditions for the state variables corresponding to the excitation of the interacting modes are determined using the normal form transformation. These initial conditions are then used to analyze the effect of nonlinear modal interaction on the dynamic system behavior including the excitation control performance;The approach has been applied to two systems which are the four-generator test system and the IEEE 50-generator test system. The results show that excitation control modes interact with low frequency modes and the nonlinear modal interaction can substantially influence the dynamic system behavior.</p>
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dc.identifier archive/
dc.identifier.articleid 11923
dc.identifier.contextkey 6423363
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/10924
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 18:31:09 UTC 2022
dc.subject.disciplines Electrical and Electronics
dc.subject.disciplines Oil, Gas, and Energy
dc.subject.disciplines Systems Engineering
dc.subject.keywords Electrical and computer engineering
dc.subject.keywords Electrical engineering (Electric power)
dc.subject.keywords Electric power
dc.title Analysis of nonlinear modal interaction and its effect on control performance in stressed power systems using normal forms method
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication a75a044c-d11e-44cd-af4f-dab1d83339ff dissertation Doctor of Philosophy
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