Uniform Model and Analysis of PWM DC–DC Converter for Discontinuous Conduction Mode

ABSTRACT

In this paper, a modified small signal state space average model is proposed to analyze the pulse width modulated converter operating in discontinuous conduction mode (DCM). It is based on a unique correction matrix (M_c) and new duty ratio constrain which is derived on the basic properties of inductor current. A 12 volt, 5 watt power supply based on Cuk converter is designed to demonstrate this proposed methodology. Transfer functions (input-to-output and control-to-output) of this power supply are calculated theoretically with the help of proposed modelling procedure. Bode plots of those transfer function are achieved using MATLAB toolboxes. To validate the proposed model, a simulation is also performed in MATLAB and frequency response is captured at run time using linearization technique. Bode plots from proposed model are very much in line with simulation results and offer improved predictions for high frequency dynamics of converter operating in DCM. The validity of presented work is reconfirmed by experimental set-up. The presented work is also compared with conventional small signal modelling on the basis of frequency analysis.

KEYWORDS:

• Bode plot
• Cuk converter
• Discontinuous conduction mode (DCM)
• Small signal SSA model
• State space average (SSA)
• Transfer function (TF)

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Amit Agrawal

Amit Agrawal was born in Uttar Pradesh, India, in 1983. He received his BTech degree in electronics & communication engineering from M. M. M. University of Technology, Gorakhpur, India, in 2004 and his MTech degree in electronics instrumentation and control engineering from Thapar University, Punjab, India, in 2008. He has worked in industries like Bhushan Steel and Strips, HCL Info-system, and ST Microelectronics Pvt Ltd in India and France. Currently, he is working as an assistant professor under UP Technical University, India. He is pursuing PHD from Indian Institute of Technology (ISM), Dhanbad, India. His main field of research is power electronics converters.

Ashish Shrivastava

Ashish Shrivastava received his BE in electrical engineering from A.P.S. University, Rewa, India, in 1999 and his M Tech degree from MANIT Bhopal, India, in 2001. He received his PhD degree from IIT, Delhi in 2013. He joined Mody College of Engineering and Technology, Laxmangarh, Sikar, Rajasthan, as a lecturer in 2001. In 2003, he joined Galgotias College of Engineering and Technology, Greater Noida, UP, as senior lecturer in the department of Electronics and Instrumentation Engineering. His area of interest includes power electronics, SMPS, energy efficient PFC DC/DC converters, power quality and electronic ballast. He is a life member of the Indian Society for Technical Education (ISTE) and graduate member of Institute of Electrical and Electronics Engineers (IEEE).

E-mail: [email protected]

Kartick C. Jana

Kartick C. Jana received his BE and MTech degrees in electrical engineering from NIT, Durgapur, India, in the year 2000 and 2003, respectively. He received his PhD from Jadavpur University, West Bengal, India, in 2013. He joined Birla Institute of Technology (BIT), Mesra, Ranchi, as a lecturer in 2003. In 2012, he joined IIT, Dhanbad, India as an assistant professor in the Department of Electrical Engineering. His area of interest includes power electronics, advanced motor drives, energy efficient converters, multilevel inverters and its applications, renewable energy harvesting, etc. He is a life member of the Indian Society for Technical Education (ISTE) and graduate member of Institute of Electrical and Electronics Engineers (IEEE).

E-mail: [email protected]