The Block Diagram and Equations of State of the Bond Graph Example

Darina Hroncová^1, , Alexander Gmiterko¹ and Tomáš Lipták¹

¹Department of Mechatronics, Faculty of Mechanical Engineering, Technical University of Košice, Letná 9, 042 00 Košice, Slovak republic

Cite this paper:
Darina Hroncová, Alexander Gmiterko and Tomáš Lipták. The Block Diagram and Equations of State of the Bond Graph Example. Journal of Automation and Control. 2015; 3(3):62-66. doi: 10.12691/automation-3-3-4

Abstract

The work shows the use the methodology of Bond Graph for modeling electric system of simple RLC circuit. Electrical model is solved by this approach at the level of its physical behavior. In this paper the method of generation of state equations system is discussed. 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:
Modeling of dynamic systems Bond Graphs energy modeling state equation

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References:

[1]	Breedveld, P., C., Rosenberg, R., C., Zhou, T., 1991. Bibliography of Bond Graph Theory and Application, Journal of the Franklin Institute, 328(5/6), p.1067-1109.
[2]	Breedveld, P., C. Modeling and Simulation of Dynamic Systems Using Bond Graphs, http://eolss.net.
[3]	Broenink, J., F. Introduction to Physical Systems Modelling with Bond Graphs, http://www.ce.utwente.nl.
[4]	Karnopp, D., C., Margolis, D., L., Rosenberg, R., C., 2005. Modeling and simulation of mechatronic systems. John Willey & Sons, Inc., .
[5]	Horáček, P., 1999. Systems and models, Nakladatelství ČVUT, Praha, Česko.
[6]	Gmiterko, A., 2004. Mechatronics, Emilenia, .
[7]	Gmiterko, A., Šarga, P., Hroncová, D., 2012. Mechatronika I, Technická univerzita Košice, .
[8]	Hroncová, D., 2012. Studies of compatible software tools for abstract and concrete design of mechatronic systems and linking them for the purpose of logical and physical modeling, Dissertation thesis, .
[9]	Karban, P., 2006. Výpočty a simulace v programech Matlab a Simulink. Computer Press, , Česko.
[10]	Virgala, , Frankovský, P., Kenderová, M.: Friction Effect Analysis of a DC Motor. In: American Journal of Mechanical Engineering. 2013. Vol. 1, no. 1 (2013), p. 1-5
[11]	Vittek, J., 1997. Matlab pre elektrické pohony, Nakladateľstvo Žilinskej univerzity, Žilina, Slovensko, p. 35-36.