4/2016 - 13 |
Digital Resonant Controller based on Modified Tustin Discretization MethodSTOJIC, D. |
Extra paper information in |
Click to see author's profile in SCOPUS, IEEE Xplore, Web of Science |
Download PDF (1,617 KB) | Citation | Downloads: 1,942 | Views: 3,238 |
Author keywords
current control, DC-AC power converters, digital filters, motor drives, three-phase electric power
References keywords
power(18), electronics(15), resonant(9), controllers(8), iecon(6), industrial(5), filters(5), digital(5), performance(4), liserre(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2016-11-30
Volume 16, Issue 4, Year 2016, On page(s): 83 - 88
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2016.04013
Web of Science Accession Number: 000390675900013
SCOPUS ID: 85007602709
Abstract
Resonant controllers are used in power converter voltage and current control due to their simplicity and accuracy. However, digital implementation of resonant controllers introduces problems related to zero and pole mapping from the continuous to the discrete time domain. Namely, some discretization methods introduce significant errors in the digital controller resonant frequency, resulting in the loss of the asymptotic AC reference tracking, especially at high resonant frequencies. The delay compensation typical for resonant controllers can also be compromised. Based on the existing analysis, it can be concluded that the Tustin discretization with frequency prewarping represents a preferable choice from the point of view of the resonant frequency accuracy. However, this discretization method has a shortcoming in applications that require real-time frequency adaptation, since complex trigonometric evaluation is required for each frequency change. In order to overcome this problem, in this paper the modified Tustin discretization method is proposed based on the Taylor series approximation of the frequency prewarping function. By comparing the novel discretization method with commonly used two-integrator-based proportional-resonant (PR) digital controllers, it is shown that the resulting digital controller resonant frequency and time delay compensation errors are significantly reduced for the novel controller. |
References | | | Cited By «-- Click to see who has cited this paper |
[1] D. G. Holmes, B. P. McGrath, and S. G. Parker, "Current regulation strategies for vector-controlled induction motor drives," Industrial Electronics, IEEE Transactions on, vol. 59, pp. 3680-3689, 2012. [CrossRef] [Web of Science Times Cited 147] [SCOPUS Times Cited 188] [2] A. G. Yepes, F. D. Freijedo, J. Doval-Gandoy, O. Lopez, J. Malvar, and P. Fernandez-Comesa, "On the discrete-time implementation of resonant controllers for active power filters," in Industrial Electronics, 2009 (IECON'09). 35th Annual Conference of IEEE, 2009, pp. 3686-3691. [CrossRef] [Web of Science Times Cited 16] [SCOPUS Times Cited 28] [3] L. Asiminoaei, F. Blaabjerg, S. Hansen, and P. Thogersen, "Adaptive compensation of reactive power with shunt active power filters," Industry Applications, IEEE Transactions on, vol. 44, pp. 867-877, 2008. [CrossRef] [Web of Science Times Cited 49] [SCOPUS Times Cited 70] [4] A. D. Aquila, M. Liserre, V. G. Monopoli, and P. Rotondo, "Overview of PI-based solutions for the control of DC buses of a single-phase H-bridge multilevel active rectifier," Industry Applications, IEEE Transactions on, vol. 44, pp. 857-866, 2008. [CrossRef] [Web of Science Times Cited 152] [SCOPUS Times Cited 202] [5] A. Timbus, M. Liserre, R. Teodorescu, P. Rodriguez, and F. Blaabjerg, "Evaluation of current controllers for distributed power generation systems," Power Electronics, IEEE Transactions on, vol. 24, pp. 654-664, 2009. [CrossRef] [Web of Science Times Cited 667] [SCOPUS Times Cited 848] [6] Y. W. Li, F. Blaabjerg, D. M. Vilathgamuwa, and P. C. Loh, "Design and comparison of high performance stationary-frame controllers for DVR implementation," Power Electronics, IEEE Transactions on, vol. 22, pp. 602-612, 2007. [CrossRef] [7] S.-Y. Park, C.-L. Chen, and J.-S. J. Lai, "A wide-range active and reactive power flow controller for a solid oxide fuel cell power conditioning system," Power Electronics, IEEE Transactions on, vol. 23, pp. 2703-2709, 2008. [CrossRef] [Web of Science Times Cited 37] [SCOPUS Times Cited 40] [8] S.-Y. Park, C.-L. Chen, J.-S. Lai, and S.-R. Moon, "Admittance compensation in current loop control for a grid-tie LCL fuel cell inverter," Power Electronics, IEEE Transactions on, vol. 23, pp. 1716-1723, 2008. [CrossRef] [Web of Science Times Cited 135] [SCOPUS Times Cited 158] [9] R. Cárdenas, C. Juri, R. Peña, P. Wheeler, and J. Clare, "The application of resonant controllers to four-leg matrix converters feeding unbalanced or nonlinear loads," Power Electronics, IEEE Transactions on, vol. 27, pp. 1120-1129, 2012. [CrossRef] [Web of Science Times Cited 59] [SCOPUS Times Cited 66] [10] G. Bergna, J. A. Suul, E. Berne, P. Egrot, P. Lefranc, J.-C. Vannier, et al., "Mitigating DC-side power oscillations and negative sequence load currents in modular multilevel converters under unbalanced faults-first approach using resonant PI," in 38th Annual Conference on IEEE Industrial Electronics Society (IECON 2012), 2012, pp. 537-542. [CrossRef] [SCOPUS Times Cited 32] [11] F. Rodriguez, E. Bueno, M. Aredes, L. Rolim, F. A. Neves, and M. C. Cavalcanti, "Discrete-time implementation of second order generalized integrators for grid converters," in Industrial Electronics, 2008 (IECON 2008). 34th Annual Conference of IEEE, 2008, pp. 176-181. [CrossRef] [Web of Science Times Cited 140] [SCOPUS Times Cited 167] [12] R. Teodorescu, F. Blaabjerg, U. Borup, and M. Liserre, "A new control structure for grid-connected LCL PV inverters with zero steady-state error and selective harmonic compensation," in Applied Power Electronics Conference and Exposition, 2004 (APEC '04). Nineteenth Annual IEEE, 2004, pp. 580-586. [CrossRef] [SCOPUS Times Cited 415] [13] D. Luczak, "Tunable digital filter structures for resonant frequency effect reduction in direct drive," in Communication Systems, Networks & Digital Signal Processing (CSNDSP), 2012, 8th International Symposium on, 2012, pp. 1-6. [CrossRef] [Web of Science Times Cited 10] [SCOPUS Times Cited 12] [14] S. A. Khajehoddin, M. Karimi-Ghartemani, P. K. Jain, and A. Bakhshai, "A resonant controller with high structural robustness for fixed-point digital implementations," Power Electronics, IEEE Transactions on, vol. 27, pp. 3352-3362, 2012. [CrossRef] [Web of Science Times Cited 67] [SCOPUS Times Cited 83] [15] A. G. Yepes, F. D. Freijedo, O. López, and J. Doval-Gandoy, "High-performance digital resonant controllers implemented with two integrators," Power Electronics, IEEE Transactions on, vol. 26, pp. 563-576, 2011. [CrossRef] [Web of Science Times Cited 4] [SCOPUS Times Cited 5] [16] M. J. Newman and D. G. Holmes, "Delta operator digital filters for high performance inverter applications," Power Electronics, IEEE Transactions on, vol. 18, pp. 447-454, 2003. [CrossRef] [Web of Science Times Cited 3] [17] R. Teodorescu, F. Blaabjerg, M. Liserre, and P. C. Loh, "Proportional-resonant controllers and filters for grid-connected voltage-source converters," in Electric Power Applications, IEE Proceedings, 2006, pp. 750-762. [CrossRef] [Web of Science Times Cited 1136] [SCOPUS Times Cited 1504] [18] L. Harnefors, "Implementation of resonant controllers and filters in fixed-point arithmetic," Industrial Electronics, IEEE Transactions on, vol. 56, pp. 1273-1281, 2009. [CrossRef] [Web of Science Times Cited 63] [SCOPUS Times Cited 76] [19] A. G. Yepes, F. D. Freijedo, J. Doval-Gandoy, O. Lopez, J. Malvar, and P. Fernandez-Comesa, "Effects of discretization methods on the performance of resonant controllers," Power Electronics, IEEE Transactions on, vol. 25, pp. 1692-1712, 2010. [CrossRef] [Web of Science Times Cited 492] [SCOPUS Times Cited 600] [20] C. P. Ion and C. Marinescu, "Autonomous Three-Phase Induction Generator Supplying Unbalanced Loads," Advances in Electrical and Computer Engineering, vol. 13, pp. 85-90, 2013. [CrossRef] [Full Text] Web of Science® Citations for all references: 3,177 TCR SCOPUS® Citations for all references: 4,494 TCR Web of Science® Average Citations per reference: 151 ACR SCOPUS® Average Citations per reference: 214 ACR TCR = Total Citations for References / ACR = Average Citations per Reference We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more Citations for references updated on 2024-11-19 18:08 in 149 seconds. Note1: Web of Science® is a registered trademark of Clarivate Analytics. Note2: SCOPUS® is a registered trademark of Elsevier B.V. Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site. |
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.