Stability boundary analysis of the dynamic voltage restorer in weak systems with dynamic loads

Segundo-Ramirez, Juan, Medina, Aurelio, Ghosh, Arindam, & Ledwich, Gerard (2011) Stability boundary analysis of the dynamic voltage restorer in weak systems with dynamic loads. International Journal of Circuit Theory and Applications.


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In this contribution, a stability analysis for a dynamic voltage restorer (DVR) connected to a weak ac system containing a dynamic load is presented using continuation techniques and bifurcation theory. The system dynamics are explored through the continuation of periodic solutions of the associated dynamic equations. The switching process in the DVR converter is taken into account to trace the stability regions through a suitable mathematical representation of the DVR converter. The stability regions in the Thevenin equivalent plane are computed. In addition, the stability regions in the control gains space, as well as the contour lines for different Floquet multipliers, are computed. Besides, the DVR converter model employed in this contribution avoids the necessity of developing very complicated iterative map approaches as in the conventional bifurcation analysis of converters. The continuation method and the DVR model can take into account dynamics and nonlinear loads and any network topology since the analysis is carried out directly from the state space equations. The bifurcation approach is shown to be both computationally efficient and robust, since it eliminates the need for numerically critical and long-lasting transient simulations.

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7 citations in Scopus
5 citations in Web of Science®
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ID Code: 41742
Item Type: Journal Article
Refereed: Yes
Additional Information: Early View (Online Version of Record published before inclusion in an issue)
Keywords: Active Filter, Continuation Techniques, DVR, Floquet Multiplier, Iterative Map, Point Common Coupling, Power Converter, Stability Regions, Switching Process
DOI: 10.1002/cta.742
ISSN: 0098-9886
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > ELECTRICAL AND ELECTRONIC ENGINEERING (090600) > Power and Energy Systems Engineering (excl. Renewable Power) (090607)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Copyright Owner: Copyright © 2011 John Wiley & Sons, Ltd
Deposited On: 19 May 2011 22:06
Last Modified: 23 Jun 2017 19:45

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