Galindo Orozco, René | Universidad Autónoma De Nuevo León |
Martínez Rodríguez, Yadiel | Universidad Autónoma De Nuevo León |
Villa-Villaseñor, Noé | Centro De Tecnología Avanzada (CIATEQ) |
Resumen: A methodology is developed to obtain Bond Graph models from the position vectors of centers of mass and rotation matrices in mechanical systems. In this methodology, the equations of tangential velocity, the rotation matrix and the inertia associated with the centers of mass and potential energy of the physical system are used. This method is applied to the mechanical part of a small fixed blade wind turbine and a Rotational-Rotational (RR) robot. The objectives are to model the yaw dynamics and the rotational speed of the rotor in the wind turbine and the rotational angles of the RR robot. The implementation and comparison of the results is carried out, both in 20-sim and in Matlab-Simulink from the Lagrange equations and Simscape Toolbox, these results are compared to verify the proposed models. For the yaw angle model, the wind turbine steering vane is removed and a mechanism is proposed that allows the wind turbine to move to the desired angle, around the vertical axis.

¿Cómo citar?
Rene Galindo Orozco, Yadiel Martinez Rodriguez & Noe Villa-Villaseñor. Bond Graph Methodology Based on the Position of the Centers of Mass Applied to Small Wind Turbines. Memorias del Congreso Nacional de Control Automático, pp. 134-140, 2021.
Palabras clave
Bond Graph Methodology, Tangential Speed, Rotation Matrix, Inertia, Wind Turbine
Referencias
- Agarwal, S., Chalal, L., Dauphin-Tanguy, G., and Guillaud, X. (2012). Bond graph model of wind turbine blade. IFAC Proceedings Volumes, 45(2), 409–414.
- Bakka, T. and Karimi, H.R. (2011). Wind turbine modeling using the bond graph. In 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), 1208–1213. IEEE.
- Goldstein, H., Poole, C.P., and Safko, J.L. (2001). Classical Mechanics. Pearson.
- Gonzalez, G. and Lopez, V. (2017). Modelling and simulation of a skystream wind turbine in a bond graph approach. 55–62. IASTED International Conference Modelling, Identification and Control.
- Karnopp, D. (1977). Lagrange’s equations for complex bond graph systems.
- Karnopp, D. (2012). Bond graphs and lagrange equations as aids in analytical studies of electro-mechanical systems. IFAC Proceedings Volumes, 45(2), 398–403.
- Karnopp, D.C., Margolis, D.L., and Rosenberg, R.C. (2012). System dynamics: modeling, simulation, and control of mechatronic systems. John Wiley & Sons.
- Khaouch, Z., Zekraoui, M., Bengourram, J., Kouider, N., and Mabrouki, M. (2016). Mechatronic modeling of a 750 kw fixed-speed wind energy conversion system using the bond graph approach. ISA Transactions, 65, 418–436.
- Mukherjee, A. and Karmakar, R. (2000). Modelling and simulation of engineering systems through bondgraphs. Alpha Science Int’l Ltd.
- Zeid, A. and Chung, C.H. (1992). Bond graph modeling of multibody systems: a library of three-dimensional joints. Journal of the Franklin Institute, 329(4), 605– 636.