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Bifurcation Analysis of Current Mode Control Cuk DC-DC Converter

International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 55 - Number 3
Year of Publication: 2012
Mohamed B. Debbat
Abdelali El Aroudi
Rochdi Bouyadjra

Mohamed B Debbat, Abdelali El Aroudi and Rochdi Bouyadjra. Article: Bifurcation Analysis of Current Mode Control huk DC-DC Converter. International Journal of Computer Applications 55(3):20-25, October 2012. Full text available. BibTeX

	author = {Mohamed B. Debbat and Abdelali El Aroudi and Rochdi Bouyadjra},
	title = {Article: Bifurcation Analysis of Current Mode Control huk DC-DC Converter},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {55},
	number = {3},
	pages = {20-25},
	month = {October},
	note = {Full text available}


In this paper, bifurcation analysis of current mode control C´ uk DCDC converter operating in continuous conduction mode is carried out. Nonlinear discrete maps as much for 1-periodic orbit as for 2- periodic orbit have been built. The stability analysis of both orbits is concerned using the Jacobian matrix and its eigenvalues. When the reference current is taken as a bifurcation parameter, it has been shown that the 1-periodic orbit loses its stability via flip bifurcation and the resulting is a stable 2-periodic orbit. By increasing the reference current further more, the 2-periodic orbit collides with a borderline and bifurcates to chaos via border collision bifurcation. A closed form expression of the borderline has been calculated.


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