2012/04/19 by Abdelali El Aroudi, Aroudi, A. El, A. El Aroudi
Decision Sciences · Engineering · Physics and Astronomy · #Advanced DC-DC Converters #Chaotic Dynamics (nlin.CD) #Electromagnetic Compatibility and Noise Suppression #FOS: Physical sciences #Induction Heating and Inverter Technology #Power Quality and Harmonics #Probabilistic and Robust Engineering Design #nlin.CD
paper · pdf · doi:10.48550/arxiv.1204.5140
Submitted to an IEEE 06-Feb-2011, rejected 08-Jun-2011. Some typo errors may still exist
arxiv created 2012/04/19 · openalex publication_date 2012/04/19 · arxiv updated 2012/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Period doubling bifurcation leading to subharmonic oscillations are undesired phenomena in switching converters. In past studies, their prediction has been mainly tackled by explicitly deriving a discrete time model and then linearizing it in the vicinity of the operating point. However, the results obtained from such an approach cannot be applied for design purpose. Alternatively, in this paper, the subharmonic oscillations in voltage mode controlled DC-DC buck converters are predicted by using a formal symbolic approach. This approach is based on expressing the subharmonic oscillation conditions in the frequency domain and then converting the results to generalized hypergeometric functions. The obtained expressions depend explicitly on the system parameters and the operating duty cycle making the results directly applicable for design purpose. Under certain practical conditions concerning these parameters, the hypergeometric functions can be approximated by polylogarithm and standard functions. The new approach is demonstrated using an example of voltage-mode-controlled buck converters. It is found that the stability of the converter is strongly dependent upon a polynomial function of the duty cycle.