A Method to Saturation Modeling of Synchronous Machines in d-q Axes
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A Method to Saturation Modeling of Synchronous Machines in d-q Axes

Authors: Mohamed A. Khlifi, Badr M. Alshammari


This paper discusses the general methods to saturation in the steady-state, two axis (d & q) frame models of synchronous machines. In particular, the important role of the magnetic coupling between the d-q axes (cross-magnetizing phenomenon), is demonstrated. For that purpose, distinct methods of saturation modeling of dumper synchronous machine with cross-saturation are identified, and detailed models synthesis in d-q axes. A number of models are given in the final developed form. The procedure and the novel models are verified by a critical application to prove the validity of the method and the equivalence between all developed models is reported. Advantages of some of the models over the existing ones and their applicability are discussed.

Keywords: Cross-magnetizing, models synthesis, synchronous machine, saturated modeling, state-space vectors.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1108927

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[1] M.A. Khlifi and H. Rehaoulia, “Modeling of Saturated Salient Pole Synchronous Machines in d–q Axes,” Int. J. Phys. Sci. 6, pp: 4928– 4932, 2011.
[2] H. Rehaoulia, H. Henao and G. A. Capolino, “Modeling of Synchronous Machines with Magnetic Saturation,” Electric Power Syst. Res. 77, 652– 659, 2007.
[3] E. Levi, “Impact of Dynamic Cross-Saturation on Accuracy of Saturated Synchronous Machine Models,” IEEE Trans. Energy Conversion, Vol.15, No.2, pp.224-230, June 2000.
[4] H. Rehaoulia, H. Henao and G. A. Capolino, “A Method to Develop Various Models for Induction Machines with Flux Saturation,” Electromotion 13, 183–191, 2006.
[5] G.R Slemon, “An Equivalent Circuit Approach to Analysis of Synchronous Machines with Saliency and Saturation”, IEEE Transactions on Energy Conversion, vol. 5, no. 3, pp. 538-545, September 1990.
[6] A. M. El-Serafi, A. S. Abdallah, M. K. El-Sherbiny, and E. H. Badawy, “Experimental Study of the Saturation and the Cross-Magnetizing Phenomenon in Saturated Synchronous Machines,” IEEE Trans. Energy Convers., vol. 3, no. 4, pp. 815–823, Dec. 1998.
[7] E. Levi, “A Unified Approach to Main Flux Saturation Modelling in DQ Axis Models of Induction Machines,” IEEE Trans. Energy Conversion, vol. 10, pp. 455 – 461, Sep. 1995.
[8] P. C. Krause, O. Wasynczuk, and S. D. “Sudhoff, Analysis of Electric Machinery”. New York: IEEE Press, 1995.
[9] J. Tamura and I. Takeda, “A New Model of Saturated Synchronous Machines for Power System Transient Stability Simulations,” IEEE Trans. Energy Convers., vol. 10, no. 2, pp. 218–224, Jun. 1995.
[10] E. Levi, “Modeling of Magnetic Saturation in Smooth Air-Gap Synchronous Machines,” IEEE Trans. Energy Conversion, vol. 12, pp. 151–156, June 1997.
[11] A.M. El-Serafi and A.S. Abdallah, “Saturated Synchronous Reactances of Synchronous Machines”, IEEE Trans. on Energy Conversion (EC), Vol. 7, no. 3, pp. 570-579, Sept 1992.
[12] N. Erdogan, H. Henao and R. Grisel, “The Analysis of Saturation Effects on Transient Behavior of Induction Machine Direct Starting” IEEE Intl Symposium on Industrial Electronics, Vol. 2, pp. 975-979, 2004.
[13] S. Nandi, “A Detailed Model of Induction Machines with Saturation Extendable for Fault Analysis”, IEEE Trans. Ind. Appl, 1302–1309, 2004.
[14] I. Kamwa, R. Wamkeue and X. Dai-Do, “General Approaches to Efficient d–q Simulation and Model Translation for Synchronous Machines”, Electric Power Syst. Res. 173–180, 1997.
[15] IEEE, “Guide for Test Procedures for Synchronous Machines”, IEEE Std. 115, 1995.
[16] S.A. Tahan and I. Kamwa, “A Two Factor Saturation Model for Synchronous Machines with Multiple Rotor Circuits”, IEEE Trans. Energy Conversion 609–616, 1995.