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Stability boundary analysis of the dynamic voltage restorer in weak systems with dynamic loads
Author(s) -
SegundoRamírez Juan,
Medina Aurelio,
Ghosh Arindam,
Ledwich Gerard
Publication year - 2012
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.742
Subject(s) - control theory (sociology) , continuation , bifurcation , floquet theory , nonlinear system , stability (learning theory) , converters , state space , thévenin's theorem , topology (electrical circuits) , mathematics , state space representation , representation (politics) , computer science , voltage , physics , equivalent circuit , algorithm , statistics , control (management) , quantum mechanics , artificial intelligence , machine learning , combinatorics , programming language , politics , political science , law
SUMMARY 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.