Modeling of DC–DC Converter Using Exact Feedback Linearization Method: A Discussion

ABSTRACT

DC–DC converter finds widespread use in variety of applications. DC–DC converter inherently possess nonlinear dynamics, therefore different linearization schemes are used to get a linearized model of the converter. The classical state-space averaging method is one of the most widely used linearizing method for DC–DC converter. But the said linearization method has some inherent limitation which limits the accuracy of the developed linearized model. This paper provides a discussion of mathematical modeling of DC–DC converter operating in continuous conduction mode as well as in discontinuous conduction mode using exact feedback linearization (EFL) technique which is based on Lie algebra. A linearized model of the converter is obtained using EFL and the effect of change in duty cycle and change in circuit parameters on the frequency response has been studied. The frequency response of the EFL model and nonlinear model is matching within the range of duty cycle and load resistance considered in this paper.

KEYWORDS:

• DC–DC converters
• Frequency response
• Lie algebra
• Lie bracket
• Linearization
• State space averaging method

ACKNOWLEDGEMENTS

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions to improve the quality of the paper.

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Debanjana Bhattacharyya

Debanjana Bhattacharyya received BTech degree in Electrical Engineering from B. P. Poddar Institute of Management and Technology, Kolkata, India in 2004 and MTech degree in Industrial Electrical Systems from National Institute of Technology, Durgapur, India in 2006. She is currently pursuing PhD at the Department of Mathematics, National Institute of Technology, Rourkela, India in nonlinear control systems, and applications of differential geometry and Lie algebra to control systems.

E-mail: [email protected]

Subhransu Padhee

Subhransu Padhee completed his BTech in Instrumentation Engineering from BPUT, Rourkela, Odisha, India in the year of 2007. He obtained his ME degree in Electronic Instrumentation and Control from Thapar University, Patiala, India in the year 2011. Currently, he is pursuing his doctoral studies from Electronics and Communication Engineering department of National Institute of Technology, Rourkela, Odisha, India in the area of power electronics, instrumentation and control.

E-mail: [email protected]

Kishor Chandra Pati

Kishor Chandra Pati is a professor in Department of Mathematics of National Institute of Technology, Rourkela, Odisha, India. His broad area of research is Lie algebra and control theory.

Corresponding author E-mail: [email protected]