Bond Graphs of the Electrical RLC Circuit

Darina Hroncová^1, and Alexander Gmiterko¹

¹Department of applied mechanics and mechatronics, Technical University of Košice / Faculty of mechanical engineering, Košice, Slovakia

Cite this paper:
Darina Hroncová and Alexander Gmiterko. Bond Graphs of the Electrical RLC Circuit. American Journal of Mechanical Engineering. 2013; 1(7):318-323. doi: 10.12691/ajme-1-7-33

Abstract

The work shows the use of Bond Graph formalism for modeling dynamic systems. As an example a electrical model is solved by this approach at the level of its physical behavior. In contrast with the classical method, where the equations for individual components are created first and then the simulation scheme is derived on their basis, the described method uses the reverse procedure. In this paper the method of generation of system equations is discussed. From a bond graph diagram of the system, using a step-by-step procedure, system equations may be generated. As a starting point a model of a simple electrical RLC circuit consisting of a resistor, an inductor, and a capacitor is taken. The differential equations describing the dynamics of the system are obtained in terms of the states of the system.

Keywords:
mechatronics bond graphs energy modeling modeling dynamic systems

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