Stability boundary analysis of the dynamic voltage restorer in weak systems with dynamic loads |
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Authors: | Juan Segundo‐Ramírez Aurelio Medina Arindam Ghosh Gerard Ledwich |
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Affiliation: | 1. Universidad Autonoma de San Luis Potosi, Facultad de Ingeniería, San Luis Potosí, S.L.P., Mexico;2. Universidad Michoacana de San Nicolás de Hidalgo (UMSNH), Facultad de Ingeniería Eléctrica, División de Estudios de Posgrado (DEP‐FIE), Morelia, Mich., Mexico;3. School of Engineering Systems, Queensland University of Technology, Brisbane, Qld 4001, Australia |
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Abstract: | 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. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | active filter continuation techniques DVR Floquet multiplier iterative map point common coupling power converter stability regions switching process |
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