Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force

Nicolás Toro-García, Yeison A. Garcés-Gómez and Fredy E. Hoyos
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Nicolás Toro-García: Department of Electrical and Electronics Engineering & Computer Sciences, Universidad Nacional de Colombia—Sede Manizales, Cra 27 No. 64 – 60, Manizales, Colombia
Yeison A. Garcés-Gómez: Unidad Académica de Formación en Ciencias Naturales y Matemáticas, Universidad Católica de Manizales, Cra 23 No. 60 – 63, Manizales, Colombia
Fredy E. Hoyos: Facultad de Ciencias—Escuela de Física, Universidad Nacional de Colombia—Sede Medellín, Carrera 65 No. 59A-110, 050034, Medellín, Colombia

Energies, 2019, vol. 12, issue 4, 1-11

Abstract: A fifth-order dynamic continuous model of a linear induction motor (LIM), without considering “end effects” and considering attraction force, was developed. The attraction force is necessary in considering the dynamic analysis of the mechanically loaded linear induction motor. To obtain the circuit parameters of the LIM, a physical system was implemented in the laboratory with a Rapid Prototype System. The model was created by modifying the traditional three-phase model of a Y -connected rotary induction motor in a d – q stationary reference frame. The discrete-time LIM model was obtained through the continuous time model solution for its application in simulations or computational solutions in order to analyze nonlinear behaviors and for use in discrete time control systems. To obtain the solution, the continuous time model was divided into a current-fed linear induction motor third-order model, where the current inputs were considered as pseudo-inputs, and a second-order subsystem that only models the currents of the primary with voltages as inputs. For the discrete time model, the current-fed model is discretized by solving a set of differential equations, and the subsystem is discretized by a first-order Taylor series. Finally, a comparison of the continuous and discrete time model behaviors was shown graphically in order to validate the discrete time model.

Keywords: linear induction motors; attraction force; end effect; discrete time model; continuous time model (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
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