Open AccessAnalysis and experimental verification of Hopf bifurcation in a solar photovoltaic powered hysteresis current‐controlled cascaded‐boost converter
Author(s) -
Deivasundari ParvathyShankar,
Uma Govindarajan,
Poovizhi Rengasamy
Publication year - 2013
Publication title -
iet power electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.637
H-Index - 77
eISSN - 1755-4543
pISSN - 1755-4535
DOI - 10.1049/iet-pel.2012.0437
Subject(s) - photovoltaic system , hysteresis , control theory (sociology) , current (fluid) , bifurcation , computer science , physics , electrical engineering , engineering , nonlinear system , artificial intelligence , condensed matter physics , control (management) , quantum mechanics
In this study, the non‐linear dynamics of a two‐stage cascaded‐boost converter, which is a popular choice, for solar energy systems is investigated. The stability of the system is studied with the aid of non‐linear state equations derived from an averaged continuous model. Analysis of the describing autonomous equations reveals that the system loses stability via supercritical Hopf bifurcation. Extensive computer simulations are performed to capture the system's dynamic behaviour and demarcate the bifurcation boundaries. Furthermore, the possibility of subcritical Hopf bifurcation for variation in input voltage is also examined. Trajectory and Poincaré section before and after the bifurcation are shown. Experimental results are also provided to confirm the observed bifurcation scenario.