Stability Analysis of a Three-Phase Induction Motor Drive using Variable Frequency Technique

Mohd. Sarfaraz Alam*, M. Rizwan Khan**
* Lecturer, Department of Electrical Engineering, University Polytechnic, Aligarh Muslim University, Aligarh, India.
** Professor, Department of Electrical Engineering, Aligarh Muslim University, Aligarh, India.
Periodicity:August - October'2017
DOI : https://doi.org/10.26634/jic.5.4.13839

Abstract

This paper deals with the stability analysis of three-phase Induction motor drive using three stability criteria, namely Root locus, Bode plot, and Nyquist plot. etc. of the control system. The dynamic model of three-phase induction motor drive is designed. This model has been derived using two-phase motor in direct and quadrature axes. This approach is desirable because of the conceptual simplicity obtained with a two sets of windings, one on the stator and other on the rotor. The required transformation in voltages, currents, or flux linkages are derived in a generalized way. The mathematical equations so obtained are non-linear in nature. The mathematical model used is linearized around an operating point using the perturbation technique. The transfer function of three-phase induction motor drive is determined at different rotor frequencies and hence rotor speeds. The effect on stability of the drive is assessed at different frequency conditions. The rotor frequency (f ) and hence corresponding speed (w =2πf ) at which the drive is unstable is reported. This analysis is r r r carried out using MatLab codes.

Keywords

Three-Phase, Drive, Linearized Model, Stability, Analysis, Induction Motor, Matlab Codes.

How to Cite this Article?

Alam. M.S., and Khan, M.R. (2017). Stability Analysis of a Three-Phase Induction Motor Drive Using Variable Frequency Technique. i-manager’s Journal on Instrumentation and Control Engineering, 5(4), 1-9. https://doi.org/10.26634/jic.5.4.13839

References

[1]. Alam, M. S. & Khan, M. R. (2016). Stability Analysis of five phase Induction motor drive using variable frequency technique. Universal Journal of Electrical & Electronics Engg., 4(5), 120-128.
[2]. Alam, M. S., Khan, M. R., & Arora, R. (2016). Stability Analysis of five phase induction motor drive using conventional technique. IEEE International Conference on Electrical, Electronics & Optimization Techniques (ICEEOT).
[3]. Bose, B. K. (2006). Modern Power Electronics and AC Drives. PHI New Delhi.
[4]. Brereton, D. S., Lewis, D. G., & Young, C. C. (1957). Representation of induction-motor loads during powersystem stability studies. Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems, 76(3), 451-460.
[5]. Cornell, E. P. & Lipo, T. A. (1977). Modeling and design of controlled current induction motor drive systems. IEEE Transactions on Industry Applications, (4), 321-330.
[6]. Fallside, F. & Wortley, A. T. (1969, June). Steady-state oscillation and stabilisation of variable-frequency invertorfed induction-motor drives. In Proceedings of the Institution of Electrical Engineers (Vol. 116, No. 6, pp. 991-999). IET Digital Library.
[7]. Krause, P., Wasynczuk, O., Sudhoff, S. D., & Pekarek, S. (2013). Analysis of Electric Machinery and Drive Systems (Vol. 75). John Wiley & Sons.
[8]. Krishnan, R. (2009). Electric Motor Drives Modeling, Analysis, and Control. PHI learning Private limited, New Delhi, India.
[9]. Lindsay, J. F. & Rashid, M. H. (1986). Electrical Machinery. Prentice-Hall, Inc., Englewood Cliffs, NJ.
[10]. Lipo, T. A. & Krause, P. C. (1969). Stability analysis of a rectifier-inverter induction motor drive. IEEE Transactions on Power Apparatus and Systems, (1), 55-66.
[11]. MacDonald, M. L. & Sen, P. C. (1979). Control loop study of induction motor drives using DQ model. IEEE Transactions on Industrial Electronics and Control Instrumentation, (4), 237-243.
[12]. Park, R. H. (1929). Two-reaction theory of synchronous machines generalized method of analysis-part I. Transactions of the American Institute of Electrical Engineers, 48(3), 716-727.
[13]. Sarma, M. S. (1964). Electric Machinery. Pergamon Press, The Macmillan Company.
[14]. Say, M. G. (1958). The performance and design of alternating current machines: transformers, three-phase induction motors and synchronous machines. The Engilsh Language Book Society and Pitman Publishing.
[15]. Slemon, G. R. & Straughen, A. (1980). Electric Machines. Addison Wesley Publishing Company.
[16]. Stanley, H. C. (1938). An analysis of the induction machine. Electrical Engineering, 57(12), 751-757.
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