Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31020
Analysis of a Singular Perturbed Synchronous Generator with a Bond Graph Approach

Authors: Gilberto Gonzalez-A, Noe Barrera-G


An analysis of a synchronous generator in a bond graph approach is proposed. This bond graph allows to determine the simplified models of the system by using singular perturbations. Firstly, the nonlinear bond graph of the generator is linearized. Then, the slow and fast state equations by applying singular perturbations are obtained. Also, a bond graph to get the quasi-steady state of the slow dynamic is proposed. In order to verify the effectiveness of the singularly perturbed models, simulation results of the complete system and reduced models are shown.

Keywords: synchronous generator, singular perturbations, Bond graph modelling

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1364


[1] P. M. Anderson, "Power System Control and Stability", The IOWA State University Press, (1977).
[2] P. Kundur, "Power System Stability and Control" Mc.Graw-Hill, (1994).
[3] John R. Smith, Meng-Jen Chen "Three-Phase Electrical Machine Systems Computer Simulation", John Wiley & Sons Inc., (1993).
[4] Kamwa, R. Wamkeue, X. Dai-Do, "General approaches to efficient d-q simulation and model translational for synchronous machines : a recap", Electric Power Systems Research Vol. 42, pp.173-180, 1997.
[5] Milenko Duric, Zoran Radojevic, Emilija Turkovic, "A practical approach to the order reduction of a power system model for small stability analysis", Electric Power System Research, vol. 41, pp. 13-18, 1997.
[6] M. Saidy and F. M. Hughes, "An extended block diagram transfer function model of a synchronous machine", Electrical Power & Energy Systems, Vol. 18, No.2 pp. 139-142, 1996.
[7] Paynter, H. M., "Analysis and Design of engineering systems", MIT Press, Cambridge, Mass (1961).
[8] Dean C. Karnopp, Ronald C. Rosenberg, "System Dynamics: A Unified Approach", Wiley, John & Sons, April (1975).
[9] P.E. Wellstead, "Physical System Modelling", Academic Press, London, (1979).
[10] C. Sueur, G. Dauphin-Tanguy, "Bond graph approach for structural analysis of MIMO linear systems", J. Flanklin Inst., Vol. 328, No.1 pp. 55-70, (1991).
[11] Dietrich Sahm, "A Two-Axis, Bond Graph Model of the Dynamics of Synchronous Electrical Machine", J. Flanklin Inst., Vol. 308, No.3 pp. 205-218, (1979).
[12] Dean Karnopp "State Functions and Bond Graph Dynamic Model Rotary, Multi-winding Electrical Machines", J. Flanklin Inst., Vol 328, No. 1, pp 45-54, (1991).
[13] P. V. Kokotovic, H. K. Khalil and J. O'Reilly, "Singular Perturbation Methods in Control: Analysis and Design", Academic Press, 1986.
[14] C. Sueur and G. Dauphin-Tanguy, "Bond Graph Approach to Multitime Scale Systems Analysis", J. Franklin Inst., Vol. 328, No. 5/6, pp. 1005-1026, 1991.