Sensitivity Analysis of the Dynamic Behavior of a Salient-Pole Synchronous Machine Considering the Static Rotor Eccentricity Effect

 

I. Albino Padilla*¹, D. Olguín Salinas², A. Román Messina³

 

^1,2 Department of Electrical Engineering, Instituto Politécnico Nacional, Instituto Politécnico Nacional Avenue, 07738 Mexico City, Mexico. *dolguin47@yahoo.com.

³ CINVESTAV, Guadalajara Científica Avenue 1145, Zapopan, Jalisco, Mexico.

 

Abstract

This paper presents the sensitivity analysis of the behavior of a synchronous machine using the winding function theory considering the effect of static air-gap eccentricity. The winding function theory as a method to calculate the inductances of synchronous machines from the geometry and the actual arranging of the windings is presented. Then, detailed numerical simulations are carried out to examine the impact of eccentricity on the steady state regimes. The important role of static eccentricity and its links with various symmetrical and asymmetrical operating conditions are discussed as well as its influence on the machine parameters and performance are investigated. Experimental and analytical parameter results are presented for a 60 Hz, six-pole laboratory synchronous machine connected to an infinite bus under various static eccentricity conditions.

Keywords: Sensitivity analysis, static eccentricity, steady state regime, synchronous machine, unbalanced conditions, winding function.

 

Resumen

Este artículo presenta el análisis de sensibilidad del comportamiento de una máquina síncrona utilizando la teoría de función de devanado para considerar el efecto de excentricidad estática. Se presenta la teoría de función de devanado para el cálculo de las inductancias a partir de la geometría y del arreglo de los devanados. Se realizan simulaciones numéricas para analizar el impacto de la excentricidad en el estado estacionario. Se discute la importancia de la excentricidad y su relación con sus condiciones de operación simétrica y asimétrica así como la influencia sobre los parámetros y comportamiento de la máquina. Se presentan resultados experimentales y analíticos de una máquina de laboratorio de seis polos, 60Hz , conectada a un bus infinito bajo diferentes condiciones de excentricidad estática.

 

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References

[1] X. Kuo, Y. Liao, H. A. Toliyat, A. El-Antaby, and T. A. Lipo, "Multiple Coupled Circuit Modeling of Induction Machines," IEEE Transactions on Industry Applications, Vol. 31, No. 2, March/April 1995.         [ Links ]

[2] H. A. Toliyat, M. S. Arefeen, and A. G. Parlos, "A method for Dynamic Simulation of Air-Gap Eccentricity in Induction Machines," IEEE Transactions on Industry Applications Vol. 32, No. 4 , July/August 1996.         [ Links ]

[3] N. A. AL-Nuaim, and H. A. Toliyat, "A Novel Method for Modeling Dynamic Air Gap Eccentricity in Salient Pole Synchronous Machines," IEEE Transaction on Energy Conversion,Vol. 13, No. 2, June 1998.         [ Links ]

[4] J. Gojko, M. Durovic, and O. Aleksandar, "Skew and Linear Rise of MMF Across Slot Modeling -Winding Function Approach," IEEE Transactions on Energy Conversion, Vol. 14, No. 3, September 1999.         [ Links ]

[5] K. Ueda, T. Kumano, C. P. Riley, C. R. Emson, and D. A. Walsh, "Analytic Method of Electromagnetic Transient Phenomena of Rotational Machine and the Other Electric Machine caused by Power System Disturbances," IEEE Transactions on Magnetics, Vol. 34, No. 5, September 1998.         [ Links ]

[6] C. Smith, and D. G. Dorrell, "Calculation and Measurement of unbalanced magnetic pull in cage induction motors with eccentric rotors. Part I: Analytical model," IEE Proceedings, Part B, vol. 143, no. 3, pp. 193-202, May 1996.         [ Links ]

[7] C. Smith, and D. G. Dorrell "Calculation and Measurement of unbalanced magnetic pull in cage induction motors with eccentric rotors. Part II: Experimental Investigations," IEE Proceedings, Part B, vol. 143, no. 3, pp. 202-210, May 1996.         [ Links ]

[8] S. Nandi, H. A. Toliyat, and A. G. Parlos, "Performance Analysis of a Single Phase Induction Motor Under Eccentricity Conditions," IEEE Industry Applications Society Annual Meeting, New Orleans, Lousiana, October 5-9, 1997.         [ Links ]

[9] S. Nandi, R. Mahan, and H. A. Toliyat, "Performance Analysis of a Three-Phase Induction Motor Under Mixed Eccentricity Condition," IEEE Transactions on Energy Conversion, Vol. 17, No. 3, September 2002.         [ Links ]

[10] M.J. DeBortoli, S.J. Salon, D.W. Burrow, and C.J. Slavic, "Effects of Rotor Eccentricity and Parallel Windings on Induction Machine Behavior: A Study using Finite Element Analysis" IEEE Transaction on Magnetics, Vol. 29, No. 2, March 1993.         [ Links ]

[11] D. Ruiz, T. Asiaín, and D. Olguin, "Teaching and Research Laboratory Simulator of Electric Power Systems," IEEE, FIE 99 Frontiers in Education, San Juan Puerto Rico November 1999.         [ Links ]

[12] I. A. Padilla, "Effect on Transient Stability of Static Eccentricity in Salient Pole Synchronous Machine," M.S. Thesis-IPN SEPI IE ESIME, Mx. D.F. Mexico, October 2004.         [ Links ]

[13] J.R. Cameron, W. T. Thomson, and A. B. Dow, "Vibration and current Monitoring for Detecting Air-Gap eccentricity in Large Induction Motors," IEEE Proceedings, pp.155-163,vol. 133, pt. B, No. 3 1986.         [ Links ]

[14] Committee Report "Recommended Phasor Diagram for Synchronous Machines," IEEE Trans. PAS. Vol. 88, No. 11 1969.         [ Links ]