A New Formal Approach for Predicting Period Doubling Bifurcations in Switching Converters

Details A New Formal Approach for Predicting Period Doubling Bifurcations in Switching Converters A New Formal Approach for Predicting Period Doubling Bifurcations in Switching Converters

2012-04-19

arxiv.org/abs/1204.5140v1

Nonlinear Sciences

Chaotic Dynamics

Submitted to an IEEE 06-Feb-2011, rejected 08-Jun-2011. Some typo errors may still exist

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A New Formal Approach for Predicting Period Doubling Bifurcations in Switching Converters does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Formal Approach for Predicting Period Doubling Bifurcations in Switching Converters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Formal Approach for Predicting Period Doubling Bifurcations in Switching Converters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-35683