Foldings and grazings of tori in current controlled interleaved boost converters

Damian Giaouris, Soumitro Banerjee, Fotis Stergiopoulos, Simira Papadopoulou, Spyros Voutetakis, Bashar Zahawi, Volker Pickert, Abdullah Abusorrah, Mohammed Al Hindawi, Yusuf Al-Turki

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


Interleaved boost converters (IBCs) are used when energy conversion is required at high current levels. Such converter systems may undergo various nonlinear phenomena which can affect their performance adversely. In this paper, we study an IBC and demonstrate the first instability through a Neimark-Sacker bifurcation, resulting in a torus. An analysis based on the calculation of the monodromy matrix reveals that the torus has a rather strange form as the complex Floquet multipliers that became unstable have a real value close to -1. We show that further variation in a parameter can result in novel nonlinear phenomena where the torus itself folds and grazes a switching manifold, resulting in a 'wobbling' of the closed loop that represents the torus in discrete time. Numerical and analytical results validate our work.

Original languageBritish English
Pages (from-to)1080-1091
Number of pages12
JournalInternational Journal of Circuit Theory and Applications
Issue number10
StatePublished - 1 Oct 2014


  • Bifurcation
  • Energy conversion
  • Interleaved boost converters
  • Nonlinear dynamics


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