Euler–Lagrange passivity-based controller for the three-level Ćuk PFC converter for electric vehicle battery charging application

Abstract

This paper intends a Euler-Lagrange passivity-based controller (EL-PBC) for the three-level (TL) Ćuk PFC converter for EVs battery charging application. The TL Ćuk converter has features of reduced filter size and voltage stress of switches. First, the Euler-Lagrange formulation is used to develop the mathematical modelling. Then, the EL-PBC methodology is implemented by injecting a virtual resistor in series with the input inductor. Further, the stability analysis is also carried out. To improve the performances against input perturbations and reduce the steady state error, a PI controller is integrated with the aforesaid controller and its performances are investigated. Furthermore, the power quality of the charger is assessed and it satisfies IEC 61000-3-2 Class C standard. This controller is also compared with the benchmark PI controller. A prototype model of same specifications is tested in hardware in loop. Computer simulations and test results are presented to validate the theoretical aspects.

KEYWORDS:

• Mathematical modelling
• the Euler–Lagrange
• three-level Ćuk converter
• passivity-based control

Acknowledgements

The authors are grateful to the anonymous referees for their in-depth and useful suggestions. Their suggestions have helped the authors to improve the content and presentation of the paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).