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Mathematical Problems in Engineering
Volume 2018, Article ID 3280468, 13 pages
https://doi.org/10.1155/2018/3280468
Research Article

Velocity Regulation in Switched Reluctance Motors under Magnetic Flux Saturation Conditions

1Facultad de Ingeniería, Centro Universitario, Universidad Autónoma de Querétaro, Cerro de las Campanas, 76010 Querétaro, QRO, Mexico
2CONACYT-Tecnológico Nacional de México/Instituto Tecnológico de Hermosillo, División de Estudios de Posgrado e Investigación, Av. Tecnológico s/n, 83170 Hermosillo, SON, Mexico
3Laboratorio de Investigación en Control Reconfigurable AC, Monte Sinaí No. 128, Col. Vista Hermosa, 76063 Querétaro, QRO, Mexico

Correspondence should be addressed to Victor M. Hernández-Guzmán; xm.qau@ghmv

Received 4 July 2017; Revised 8 November 2017; Accepted 10 December 2017; Published 2 January 2018

Academic Editor: Andrés Sáez

Copyright © 2018 Victor M. Hernández-Guzmán et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a controller for velocity regulation in switched reluctance motors under magnetic flux saturation conditions. Both hysteresis and proportional control are employed in the internal electric current loops. A classical PI velocity controller is employed in the external loop. Our control law is the simplest one proposed in the literature but provided with a formal stability proof. We prove that the state is bounded having an ultimate bound which can be rendered arbitrarily small by a suitable selection of controller gains. Furthermore, this result stands when starting from any initial condition within a radius which can be arbitrarily enlarged using suitable controller gains. We present a simulation study where even convergence to zero of velocity error is observed as well as a good performance when regulating velocity in the presence of unknown step changes in external torque disturbances.