Nonlinear stability analysis and a new design methodology for a PEM fuel cell fed DC-DC boost converter

Damian Giaouris, Fotis Stergiopoulos, Chrysovalantou Ziogou, Dimitris Ipsakis, Soumitro Banerjee, Bashar Zahawi, Volker Pickert, Spyros Voutetakis, Simira Papadopoulou

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


The dynamical behaviour of a fuel cell feeding a boost converter is studied in this paper. A nonlinear model of the combined system is derived including the effect of the switching action of the converter. Using Filippov's theory, it is possible to analytically study the bifurcation patterns of the system and to demonstrate that the system loses stability through a period doubling bifurcation. To overcome this instability, we inject a high frequency sinusoidal signal into the system that forces the system to remain stable while at the same time retaining its basic slow scale properties (like the steady state error). This controller is simple to implement and does not require any special hardware. The stability analysis and new controller design method presented in this paper allow for the re-design of the converter to stabilize circuit operation with a substantially reduced inductor size, reducing the size and cost of the converter while maintaining its average currents and voltages and other circuit steady-state behaviour characteristics. The results are confirmed by using numerical and analytical tools.

Original languageBritish English
Pages (from-to)18205-18215
Number of pages11
JournalInternational Journal of Hydrogen Energy
Issue number23
StatePublished - Dec 2012


  • Bifurcation
  • Boost converter
  • Chaos
  • Nonlinear stability analysis
  • PEM fuel cell


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