Algebraic Representation of DC-DC Converters and Symbolic Method of their Analysis

Author

Berkovich, Y. ; Shenkman, A. ; Ioinovici ; Axelrod, B.

Author_Institution

Member, IEEE, Holon Institute of Technology. Department Electrical and Electronics Engineering. 52, Golomb St., Holon, 58102, Israel

fYear

2006

Firstpage

47

Lastpage

51

Abstract

The algebraic representation of idealized DC-DC PWM converters covering various structures and their connection is given. The algebra is constructed on the basis of hyper-complex numbers - hypernions and allows the analysis of the structures of the converters by using of a symbolical method. The possibility of the calculation of a discontinuous current and soft switching is also considered. Such an abstract description of various schemas allows reducing their variety to several basic structures and formalizes a problem of the synthesis of the converters with the desired parameters. The numerical solution of the algebraic expressions is easily carried out with the help of the standard mathematical programs MATHCAD or MATLAB.

Keywords

Algebra; Coupling circuits; DC-DC power converters; Inductors; MATLAB; Magnetic circuits; Modules (abstract algebra); Pulse width modulation converters; Switches; Voltage; DC-DC PWM converters; algebraic representation; symbolic method; synthesis;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Electronics Engineers in Israel, 2006 IEEE 24th Convention of

Conference_Location

Eilat, Israel

Print_ISBN

1-4244-0229-8

Electronic_ISBN

1-4244-0230-1

Type

conf

DOI

10.1109/EEEI.2006.321080

Filename

4115243