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Mathematical Problems in Engineering
Volume 2016, Article ID 2712976, 11 pages
Research Article

Evaluation of a Trapezoidal Predictive Controller for a Four-Wire Active Power Filter for Utility Equipment of Metro Railway, Power-Land Substations

1Escuela Superior de Ingeniería Mecanica y Eléctrica, Unidad Culhuacan, Instituto Politécnico Nacional, Avenida Santa Ana No. 1000, Col San Francisco Culhuacan, 04430 México, DF, Mexico
2Universidad de Talca, 2 Norte 685, Talca, Chile

Received 14 August 2015; Accepted 20 December 2015

Academic Editor: Shengbo Eben Li

Copyright © 2016 Sergio Salas-Duarte 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.


The realization of an improved predictive current controller based on a trapezoidal model is described, and the impact of this technique is assessed on the performance of a 2 kW, 21.6 kHz, four-wire, Active Power Filter for utility equipment of Metro Railway, Power-Land Substations. The operation of the trapezoidal predictive current controller is contrasted with that of a typical predictive control technique, based on a single Euler approximation, which has demonstrated generation of high-quality line currents, each using a 400 V DC link to improve the power quality of an unbalanced nonlinear load of Metro Railway. The results show that the supply current waveforms become virtually sinusoidal waves, reducing the current ripple by 50% and improving its power factor from 0.8 to 0.989 when the active filter is operated with a 1.6 kW load. The principle of operation of the trapezoidal predictive controller is analysed together with a description of its practical development, showing experimental results obtained with a 2 kW prototype.