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Energies 2018, 11(12), 3388; https://doi.org/10.3390/en11123388

Dynamic Analysis of a Permanent Magnet DC Motor Using a Buck Converter Controlled by ZAD-FPIC

1
Escuela de Física, Facultad de Ciencias, Sede Medellín, Universidad Nacional de Colombia, Carrera 65 No. 59A, 110, Medellín 050034, Antioquia, Colombia
2
Departamento de Energía Eléctrica y Automática, Facultad de Minas, Sede Medellín, Universidad Nacional de Colombia, Carrera 80 No. 65-223, Campus Robledo, Medellín 050041, Antioquia, Colombia
3
Grupo de Investigación en Desarrollos Tecnológicos y Ambientales—GIDTA, Faculty of Engineering and Architecture, Universidad Católica de Manizales, Carrera 23 No. 60-63, Manizales 170002, Caldas, Colombia
*
Author to whom correspondence should be addressed.
Received: 7 November 2018 / Revised: 26 November 2018 / Accepted: 30 November 2018 / Published: 3 December 2018
(This article belongs to the Special Issue Control and Nonlinear Dynamics on Energy Conversion Systems)
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Abstract

This paper presents the dynamic analysis of a permanent magnet DC motor using a buck converter controlled by zero average dynamics (ZADs) and fixed-point inducting control (FPIC). Initially, the steady-state behavior of the closed-loop system was observed and then transient behavior analyzed while maintaining a fixed ZAD control parameter and changing the FPIC parameter. Other behaviors were studied when the value of the ZAD control parameter changed and the FPIC parameter was maintained at the initial value. Besides, bifurcation diagrams were built with one and two delay periods by changing the control parameter of the FPIC and maintaining fixed ZAD parameters while some disturbances were carried out in the electric source. The results show that the ZAD-FPIC controller allowed good regulation of the speed for different reference values. The ZAD-FPIC control technique is effective for controlling the buck converter with the motor, even with two delay periods. The robustness of the system was checked by changing the voltage of the source. It was shown that the system used a fixed switching frequency because the duty cycle was not saturated for certain ranges of the control parameters shown in the research. This technique can be used for higher order systems with experimental phenomena such as quantization effects, time delays, and variations in the input signal. View Full-Text
Keywords: buck converter; DC motor; bifurcations in control parameter; sliding control; zero average dynamics; fixed-point inducting control buck converter; DC motor; bifurcations in control parameter; sliding control; zero average dynamics; fixed-point inducting control
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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 (CC BY 4.0).
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Hoyos Velasco, F.E.; Candelo-Becerra, J.E.; Rincón Santamaría, A. Dynamic Analysis of a Permanent Magnet DC Motor Using a Buck Converter Controlled by ZAD-FPIC. Energies 2018, 11, 3388.

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