Analysis of a Hydroelectric Plant connected to Electrical Power System in the Physical Domain

A bond graph model of a hydroelectric plant is proposed. In order to analyze the system some structural properties of a bond graph are used. The structural controllability of the hydroelctric plant is described. Also, the steady state of the state variables applying the bond graph in a derivative causality assignment is obtained. Finally, simulation results of the system are shown.




References:
[1] H. M. Paynter, Analysis and design of engineering systems, MIT press,
Cambridge, Mass, 1961.
[2] Dean C. Karnopp, Donald L. Margolis and Ronald C. Rosenberg, System
Dynamics Modeling and Simulation of Mechatronic Systems, Willey,
John & Sons, 2000.
[3] P. E. Wellstead, Physical System Modelling, Academiv Press, London,
1979.
[4] John R. Kundur, Power System Stability and Control, Mc-Graw-Hill,
1994
[5] P. M. Anderson, Power System Control and Stability, The IOWA state
University Press, 1977.
[6] F. Irie, M. Takeo, S. Sato, O. Katahira, F. Fukui, H. Okada, T. Ezaki,
K. Ogawa, H. Koba, M. Takamatsu and T. Shimojo, A Field Experiment
on Power line Stabilization by a SMES System, IEEE Transactions on
Magnetics, Vol. 28, No. 1 January 1992.
[7] D. B. Arnautovic and D. M. Skataric, Suboptimal Design of Hydroturbine
Governors, IEEE Transactions on Energy Conversion, Vol. 6, No.
3, September 1991.
[8] Toma Arne Pedersern and Elif Pedersen, Bond Graph Model of a Supply
Vessel Operating in the North Sea, Proceedings of the 2007 International
Conference on Bond Graph Modeling
[9] C. Sueur and G. Dauphin-Tanguy, Bond graph approach for structural
analysis of MIMO linear systems, Journal of the Franklin Institute, Vol.
328, No. 1, pp. 55-70, 1991.
[10] Dietrich Sahm, A two-Axis, Bond Graph Model of the Dynamics of
Synchronous Electrical Machine, Journal of the Franklin Institute, Vol.
308, No. 3, pp. 205-218, 1979.
[11] Gilberto Gonzalez-A and R. Galindo, Steady State Values for a Physical
System with a Bond Graph Approach, Proceedings of 9th IEEE International
Conference Methods and Models in Automation and Robotics,
pp. 1317-1322, 2003.