Subharmonic ripple analysis of an interleaved buck converter based on the Filippov method

  • Julián Peláez-Restrepo Intituto Tecnológico Metropolitano
  • Sergio I. Serna-Garcés Intituto Tecnológico Metropolitano
  • Carlos A. Ramos-Paja Universidad Nacional de Colombia
  • Daniel González-Montoya Intituto Tecnológico Metropolitano
Keywords: Multi-phase converter, controller design, method of Filippov, instability, bifurcations, piecewise linear systems.


In many papers, the averaged model of power switching converters is used to design the control system due to its simple manipulation, which can be approximated by linear transfer functions. Therefore, the power converter commutation causes a state variable ripple that is not considered on the averaged model. The component frequency of the state variables is composed by a power spectrum with a unique peak at the DC level (average variable), a unique peak at the switching frequency (ripple component) and a finite number of peaks in each sub-harmonic (instabilities). The Filippov method is used for instability predictions due to fast dynamics, this method predicts the parameters range that avoids the first bifurcation of the fast dynamics. In this paper a stable space of parameters (Kp, Ti) for a PI controller is presented, it estimated with the Filippov method, for a buck converter with voltage regulation. Finally, the presented results are validated using both Matlab and Psim simulations.

Author Biographies

Julián Peláez-Restrepo, Intituto Tecnológico Metropolitano
PhD. Ingeniería Electrónica, Profesor Ocasional, Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano, Medellín
Sergio I. Serna-Garcés, Intituto Tecnológico Metropolitano
MSc. Ingeniería, Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano, Medellín
Carlos A. Ramos-Paja, Universidad Nacional de Colombia
PhD. Ingeniería Electrónica, Automática y Comunicaciones, Profesor Asociado, Departamento de Energía Eléctrica y Automática, Universidad Nacional de Colombia, Medellín
Daniel González-Montoya, Intituto Tecnológico Metropolitano
MSc. Ingeniería – Automatización Industrial, Profesor Ocasional, Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano, Medellín


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How to Cite
J. Peláez-Restrepo, S. I. Serna-Garcés, C. A. Ramos-Paja, and D. González-Montoya, “Subharmonic ripple analysis of an interleaved buck converter based on the Filippov method”, TecnoL., vol. 20, no. 38, pp. 55-69, Feb. 2017.


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