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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 9640403, 10 pages
Research Article

Internal-Model-Principle-Based Specific Harmonics Repetitive Controller for Grid-Connected PWM Inverters

1Key Laboratory of Advance Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi 214122, China
2School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China

Received 9 May 2016; Revised 22 July 2016; Accepted 9 August 2016

Academic Editor: Alfonso Banos

Copyright © 2016 Wenzhou Lu 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.


This paper analyzes the general properties of IMP-based controller and presents an internal-model-principle-based (IMP-based) specific harmonics repetitive control (SHRC) scheme. The proposed SHRC is effective for specific order harmonics, with and . Using the properties of exponential function, SHRC can also be rewritten into the format of multiple resonant controllers in parallel, where the control gain of SHRC is multiple of that of conventional RC (CRC). Therefore, including SHRC in a stable closed-loop feedback control system, asymptotic disturbance eliminating, or reference tracking for any periodic signal only including these specific harmonic components at times faster error convergence rate compared with CRC can be achieved. Application examples of SHRC controlled three-phase/single-phase grid-connected PWM inverters demonstrate the effectiveness and advantages of the proposed SHRC scheme.