Modeling, Analysis, and Winding Loss Calculation of Different Litz and Solid Wire on Coupled Inductor in DC–DC Cuk Converter for DCM

Abstract

In this article, the coupled inductor is designed using a litz wire, an enameled litz wire, and a solid wire separately. All the coupled inductors wound with litz and solid wires are tested in a Cuk converter operated in DCM with a 25 kHz switching frequency for 15 W power, and winding losses of each wire, including proximity and skin effect loss, are calculated analytically without using any software, by using different techniques presented in literature, and the results are compared. Also, state-space modeling of the converter using a coupled inductor for DCM is derived as a contribution of the article because such a modeling is not derived for the Cuk converter in the literature. Thanks to the applications, inductor currents, switch voltage, input–output voltage, and output current are measured for coupled inductors with different wires. In addition, FEM simulation and co-simulation of all coupled inductors are realized, and the results obtained by applications are verified by them. Besides, it is shown that while the number of turns is the same, increasing the bundle of wires increases efficiency and inductance, reducing the window area and coupling coefficient.

Keywords:

• Cuk converter
• coupled inductor
• DCM
• litz wire
• proximity effect
• skin effect losses

DISCLOSURE STATEMENT

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

Additional information

Notes on contributors

Erdal Sehirli

Erdal Sehirli was born in Kastamonu, Turkey, in 1983. He received the first B.S. degree in electrical education from Gazi University, in 2006, the second B.S. degree in electrical engineering from Istanbul Technical University, in 2016, and the first M.S. degree in electrical education, the second M.S. degree in electrical engineering, and the Ph.D. degree in electricity education from Kocaeli University, Turkey, in 2009, 2016, and 2017, respectively. From 2009 to 2018, he was a Lecturer at the Vocational College of Higher Education, Kastamonu University. From 2018 to 2023, he was an Assistant Professor with the Department of Electrical Engineering, Kastamonu University. Since 2023, he has been a researcher with the Department of Silicon Austria Labs GmbH, Graz, Austria. His research interests include power electronics and control systems and microgrids.

Yucel Cetinceviz

Yucel Cetinceviz was born in Ankara, Turkey, in 1982. He received the B.S. degree in electrical education from Gazi University, in 2006, and the M.S. degree in electrical education from Gazi University, and the Ph.D. degree in electrical and electronics engineering from Karabük University, Turkey, in 2010, and 2017, respectively. From 2009 to 2018, he was a Lecturer at the Vocational College of Higher Education, Kastamonu University. Since 2018, he has been an Assistant Professor with the Department of Electrical Engineering, Kastamonu University. His research interests include power electronics, industrial automation and electrical machine design.