Modeling and Simulation in Multibond Graphs Applied to Three-Phase Electrical Systems

Abstract

The modeling of three-phase electrical systems in the coordinates d,q,0 in a simple and direct way in a multibond graph approach is presented. From the graphical model obtained, a mathematical model in state space can be determined. Thus, studies of the electromagnetic transients of electrical systems can be analyzed. Likewise, this modeling in the physical domain can be applied to balanced or unbalanced systems and the storage elements (inductances and capacitances) can be connected to be linearly independent or dependent. Structural properties such as stability, controllability, observability or controller design can be analyzed in multibond graphs. The proposed methodology is applied to two examples and the simulation results are shown using 20-Sim software.

Keywords

• bond graph
• multibond graph
• multibody systems