Bond graph modeling, DAE formulation and numeric simulation of a three phase rectifier

Abstract

This paper describes how to apply a group of alternative methodologies to the modeling and simulation of a three phase rectifier. The system is a full bridge rectifier with RC load, that consist of diodes that are modeled with the accurate and close-to-real constituve relation of Shockley. This constitutive relation bring an unvariable topology and a non linear nature to the whole system. The emerging non linearities are handled with the described methodologies, and a procedure to formulate differential-algebraic equations (DAE) is reviewed. The obtained DAE is numerically solved and simulation results are presented. In order to prove the significance of the modeling and simulation approach, non standard conditions, such as unbalanced sources are included.