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Hopf Bifurcation Control of Power System Nonlinear Dynamics via a Dynamic State Feedback Controller-Part I: Theory and Modeling
KTH, School of Industrial Engineering and Management (ITM), Machine Design (Dept.), Mechatronics.
KTH, School of Electrical Engineering (EES), Electric Power and Energy Systems.ORCID iD: 0000-0002-4125-1055
2017 (English)In: IEEE Transactions on Power Systems, ISSN 0885-8950, E-ISSN 1558-0679, Vol. 32, no 4, p. 3217-3228Article in journal (Refereed) Published
Abstract [en]

This two-part paper introduces a dynamic state feedback control law that guarantees the elimination of Hopf bifurcations (HB) before reaching the saddle-node bifurcations (SNB). Part I is devoted to the mathematical representation of the detailed system dynamics, investigation of HB and SNB theorems, and state feedback controller design. For purposes of dynamical analysis, the stable equilibria of the system is obtained. Then the control system is designed with the objective of preventing the voltage collapse before the SNB, such that the structural stability of the system is preserved in the stationary branch of the solutions. The controller aims to relocate Hopf bifurcations to the stationary branch of solutions located after SNB, eliminating the HB from normal operating region of the system. In order to evaluate the performance of the proposed controller, bifurcation analysis has been performed in Part II using single-machine and multi-machine test systems.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2017. Vol. 32, no 4, p. 3217-3228
Keywords [en]
Bifurcation theory, Hopf bifurcation, nonlinear dynamics, state feedback control, synchronous generator saturation, voltage collapse
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-211383DOI: 10.1109/TPWRS.2016.2633389ISI: 000404046600069Scopus ID: 2-s2.0-85020029766OAI: oai:DiVA.org:kth-211383DiVA, id: diva2:1130404
Note

QC 20170809

Available from: 2017-08-09 Created: 2017-08-09 Last updated: 2017-08-09Bibliographically approved

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Vanfretti, Luigi

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