On the approximation of the state equations of nonlinear permanent magnet synchronous motors

F. Belkhouche; B. N. Singh; U. Qidwai; P. Rastgoufard; B. Belkhouche

doi:10.1109/ISIE.2006.295930

On the approximation of the state equations of nonlinear permanent magnet synchronous motors

F. Belkhouche, B. N. Singh, U. Qidwai, P. Rastgoufard, B. Belkhouche

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper presents an approximate linearized model for permanent-magnet synchronous motors. The linearized model is derived using an optimization technique, which is obtained by minimizing a cost function for a particular solution. Numerical experiments show good agreement of the method with the nonlinear system for both autonomous and non-autonomous cases. It turns out that unlike the classical linearization, the linearization method used here is not a first order approximation, but has the same order as the nonlinearity. The method can be used for the control of different types of permanent magnet synchronous motors.

Original language	English
Title of host publication	International Symposium on Industrial Electronics 2006, ISIE 2006
Pages	2292-2296
Number of pages	5
DOIs	https://doi.org/10.1109/ISIE.2006.295930
Publication status	Published - 2006
Externally published	Yes
Event	International Symposium on Industrial Electronics 2006, ISIE 2006 - Montreal, QC, Canada Duration: Jul 9 2006 → Jul 13 2006

Publication series

Name	IEEE International Symposium on Industrial Electronics
Volume	3

Other

Other	International Symposium on Industrial Electronics 2006, ISIE 2006
Country/Territory	Canada
City	Montreal, QC
Period	7/9/06 → 7/13/06

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering

Access to Document

10.1109/ISIE.2006.295930

Cite this

Belkhouche, F., Singh, B. N., Qidwai, U., Rastgoufard, P., & Belkhouche, B. (2006). On the approximation of the state equations of nonlinear permanent magnet synchronous motors. In International Symposium on Industrial Electronics 2006, ISIE 2006 (pp. 2292-2296). [4078605] (IEEE International Symposium on Industrial Electronics; Vol. 3). https://doi.org/10.1109/ISIE.2006.295930

On the approximation of the state equations of nonlinear permanent magnet synchronous motors. / Belkhouche, F.; Singh, B. N.; Qidwai, U. et al.

International Symposium on Industrial Electronics 2006, ISIE 2006. 2006. p. 2292-2296 4078605 (IEEE International Symposium on Industrial Electronics; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Belkhouche, F, Singh, BN, Qidwai, U, Rastgoufard, P & Belkhouche, B 2006, On the approximation of the state equations of nonlinear permanent magnet synchronous motors. in International Symposium on Industrial Electronics 2006, ISIE 2006., 4078605, IEEE International Symposium on Industrial Electronics, vol. 3, pp. 2292-2296, International Symposium on Industrial Electronics 2006, ISIE 2006, Montreal, QC, Canada, 7/9/06. https://doi.org/10.1109/ISIE.2006.295930

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author = "F. Belkhouche and Singh, {B. N.} and U. Qidwai and P. Rastgoufard and B. Belkhouche",

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PY - 2006

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N2 - This paper presents an approximate linearized model for permanent-magnet synchronous motors. The linearized model is derived using an optimization technique, which is obtained by minimizing a cost function for a particular solution. Numerical experiments show good agreement of the method with the nonlinear system for both autonomous and non-autonomous cases. It turns out that unlike the classical linearization, the linearization method used here is not a first order approximation, but has the same order as the nonlinearity. The method can be used for the control of different types of permanent magnet synchronous motors.

AB - This paper presents an approximate linearized model for permanent-magnet synchronous motors. The linearized model is derived using an optimization technique, which is obtained by minimizing a cost function for a particular solution. Numerical experiments show good agreement of the method with the nonlinear system for both autonomous and non-autonomous cases. It turns out that unlike the classical linearization, the linearization method used here is not a first order approximation, but has the same order as the nonlinearity. The method can be used for the control of different types of permanent magnet synchronous motors.

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On the approximation of the state equations of nonlinear permanent magnet synchronous motors

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