Generalisation of an averaged model approach to estimate the period-doubling bifurcation onset in power converters

• Published in: IET power electronics Vol. 9; no. 5; pp. 977 - 988
• Main Authors: Gavagsaz-Ghoachani, Roghayeh, Phattanasak, Matheepot, Martin, Jean-Philippe, Pierfederici, Serge, Nahid-Mobarakeh, Babak, Davat, Bernard
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 20.04.2016
• Subjects: active filters; Asymptotic properties; asymptotic stability; averaged model approach generalisation; bifurcation; Bifurcations; CCM boost converter; continuous‐conduction 20 mode boost converter; continuous‐time averaging model; Converters; DC active filter converter; DC‐DC converter; DC‐DC power convertors; discrete‐time model; eigenvalue method; Eigenvalues; eigenvalues and eigenfunctions; Electric power; Electronics; Engineering Sciences; Mathematical models; nonlinear phenomena; period‐1 orbit stable operation prediction; period‐doubling bifurcation onset estimation; power converter robustness properties; Power converters; power electronic device; power electronics; Robustness; averaged model approach generalisation; eigenvalue method; continuous-time averaging model; CCM boost converter; continuous-conduction 20 mode boost converter; asymptotic stability; DC-DC power convertors; power electronics; eigenvalues and eigenfunctions; active filters; period-1 orbit stable operation prediction; DC-DC converter; bifurcation; power electronic device; power converter robustness properties; DC active filter converter; discrete-time model; period-doubling bifurcation onset estimation; nonlinear phenomena
• ISSN: 1755-4535; 1755-4543; 1755-4543; 1755-4535
• DOI: 10.1049/iet-pel.2014.0756

The usual method of estimating the onset of bifurcation and studying non-linear phenomena in power electronic devices consists of defining the discrete-time model. This model provides more precise results than an averaged model. However, the discrete-time model cannot be developed easily for some particular systems. In this study, a continuous-time averaging model is developed for a boost converter in the continuous-conduction mode (CCM). This proposed model is used to obtain the eigenvalues of the system to predict the stable operation of the period-1 orbit. It is observed that the loss of the asymptotic stability of the proposed model corresponds to the onset of period-doubling bifurcation in the discrete-time model. The generalisation of this method is investigated by applying the proposed method to a DC active filter converter connected in parallel with a CCM boost converter. Using this model, it is possible to obtain the eigenvalues of the system to investigate robustness properties with regards to system parameter variations. To confirm the validity of the proposed method, simulation and experimental results are presented.