Institucional Revista Notícias Contato Acesso Associado

Revista Eletrônica de Potência (Brazilian Journal of Power Electronics)

Issue: Volume 22 - Number 1
Publishing Date: março 2017
Editor-in-Chief: Marcelo Cabral Cavalcanti
Editor Affiliation: UFPE
Modelagem precisa para análise e projeto de controle do elo CC do conversor fonte de tensão trifásico com filtro LCL conectado à rede elétrica
Paulo Sérgio Nascimento Filho, Tárcio André dos Santos Barros, Marcelo Gradella Villalva, Ernesto Ruppert Filho
7 - 18
http://dx.doi.org/10.18618/REP.2017.1.2639
Portuguese Data

Palavras Chaves: Conversor Fonte de Tensão Trifásico, Filtro LCL, Modelagem Matemática

Resumo

Este artigo apresenta, como principal contribuição, a proposta de modelagem matemática da entrada CC do conversor fonte de tensão trifásico (CFT) com filtro LCL, conectado à rede elétrica. Considera-se na modelagem a dinâmica do LCL e do controle de corrente injetada na rede elétrica. Para o controle de corrente do conversor, utilizou-se o controlador proporcional ressonante (P-ressonante) com compensação de harmônicas e o amortecimento do LCL, é realizado através do filtro notch. Com a modelagem proposta, obtém-se um modelo não linear, que é linearizado para obter um modelo que representa com precisão a dinâmica do lado CC do CFT, em torno do ponto de operação em análise, considerando o modo de operação do CFT (retificador ou inversor). Resultados experimentais comparados com os de simulação são apresentados, comprovando a validade dos modelos matemáticos obtidos.

English Data

Title: Accurate Modeling For Analysis And Control Design Of The Dc-side Of The Grid-tie Vsc With Lcl Filter

Keywords: LCL filter, Mathematical Modeling, voltage source converter

Abstract

This paper presents a mathematical modeling of the DC input of the grid-tie three-phase voltage source converter (VSC) with LCL filter. It is considered in modeling the dynamics of LCL filter and the current control injected into the grid. For the converter current control, the resonant proportional controller is used with harmonics compensation and the damping of LCL filter is realized through the notch filter. With the proposed modeling, one obtains a non-linear model which is linearized to obtain a model that represents the dynamics of the DC side of VSC, around the analyzed operating point considering the operation mode of the VSC (rectifier or inverter). Experimental results compared with simulation are presented, proving the validity of the proposed study.

References

[1] J. M. Carrasco, L. G. Franquelo, J. T. Bialasiewicz, E. Galvan, R. C. P. Guisado, M. A. M. Prats, J. I. Leon, N. Moreno-Alfonso, “Power-Electronic Systems for the Grid Integration of Renewable Energy Sources: A Survey,” IEEE Transactions on Industrial Electronics, vol. 53, nº 4, pp. 1002-1016, June 2006. http://dx.doi.org/10.1109/TIE.2006.878356
[2] B. K. Bose, “Global Energy Scenario and Impact of Power Electronics in 21st Century,” IEEE Transactions on Industrial Electronics, vol. 60, nº 7, pp. 2638-2651, July 2013. http://dx.doi.org/10.1109/TIE.2012.2203771
[3] M. Liserre, F. Blaabjerg, S. Hansen, “Design and Control of an LCL- Filter-Based Three-Phase Active Rectifier,” IEEE Transactions on Industry Applications, vol. 41, nº 5, pp. 1281-1291, October 2005. http://dx.doi.org/10.1109/TIA.2005.853373
[4] E. Figueres, G. Garcerá, J. Sandia, F. González-Espín, J. C. Rubio, “Sensitivity Study of the Dynamics of Three-Phase Photovoltaic Inverters With an LCL Grid Filter,” IEEE Transactions on Industrial Electronics, vol. 53, nº 3, pp. 706-717, March 2009. http://dx.doi.org/10.1109/TIE.2008.2010175
[5] J. Dannehl, F. W. Fuchs, S. Hansen, P. B. Thogersen, “Investigation of Active Damping Approaches for PI-Based Current Converters of Grid- Connected Pulse Width Modulation Converters With LCL Filters,” IEEE Transactions on Industry Applications, vol. 46, nº 4, pp. 1509-1517, August 2010. http://dx.doi.org/10.1109/TIA.2010.2049974
[6] J. Dannehl, M. Liserre, F. W. Fuchs, “Filter-Based Active Damping of Voltage Source Converters With LCL Filter,” IEEE Transactions on Industrial Electronics, vol. 58, nº 8, pp. 3623-3633, August 2011. http://dx.doi.org/10.1109/TIE.2010.2081952
[7] J. Xu, S. Xie, T. Tang, “Evaluations of current control in weak grid case for grid-connected LCL-filtered inverter,” IET Power Electronics, vol. 6, nº 2, pp. 227-234, February 2013. http://dx.doi.org/10.1049/IET-PEL.2012.0192
[8] R. Peña-Alzola, M. Liserre, F. Blaabjerg, M. Ordonez, Y. Yang, “LCL- Filter Design for Robust Active Damping in Grid-Connected Converters,” IEEE Transactions on Industrial Informatics, vol. 10, nº 4, pp. 2192-2203, November 2014. http://dx.doi.org/10.1109/TII.2014.2361604
[9] A. Yazdani, R. Iravani, Voltage-Sourced Converters in Power Systems: modeling, control, and applications, New Jersey: John Wiley & Sons, 2010. http://dx.doi.org/10.1002/9780470551578
[10] R. Teodorescu, M. Liserre, P. Rodríguez, Grid Converters for Photovoltaic and Wind Power Systems, John Wiley & Sons, Ltd, 2011. http://dx.doi.org/10.1002/9780470667057
[11] A. Yazdani, A. R. Di Fazio, H. Ghoddami, M. Russo, M. Kazerani, J. Jatskevich, K. Strunz, S. Leva, J. A. Martinez, “Modeling Guidelines and a Benchmark for Power System Simulation Studies of Three-Phase Single- Stage Photovoltaic Systems,” IEEE Transactions on Power Delivery, vol. 26, nº 2, pp. 1247-1264, April 2011. http://dx.doi.org/10.1109/TPWRD.2010.2084599
[12] A. Yazdani, R. Iravani, “An Accurate Model for the DC-Side Voltage Control of the Neutral Point Diode Clamped Converter,” IEEE Transactions on Power Delivery, vol. 21, nº 1, pp. 185-193, January 2006. http://dx.doi.org/10.1109/TPWRD.2005.852342
[13] M. Davari, Y. A.-R. I. Mohamed, “Robust Multi-Objetive Control of VSC- Based DC-Voltage Power Port in Hybrid AC/DC Multi-Terminal Micro-Grids,” IEEE Transactions on Smart Grid, vol. 4, nº 3, pp. 1597 – 1612, September 2013. http://dx.doi.org/10.1109/TSG.2013.2249541
[14] J. Dannel, C. Wessels, F. W. Fuchs, “Limitations of voltage-oriented PI current control of grid-connected PWM rectifiers with LCL filters,” IEEE Transactions on Industrial Electronics, vol. 56, nº 2, pp. 380-388, February 2009. http://dx.doi.org/10.1109/TIE.2008.2008774
[15] M. H. Bierhoff, F. W. Fuchs, “Active Damping for Three-Phase PWM Rectifiers With High-Order Line-Side Filters,” IEEE Transactions on Industrial Electronics, vol. 56, nº 2, pp. 371-379, February 2009. http://dx.doi.org/10.1109/TIE.2008.2007950
[16] X. Bao, F. Zhou, Y. Tian, P. Tan, “Simplified Feedback Linearization Control of Three-Phase Photovoltaic Inverter With an LCL Filter,” IEEE Transactions on Power Electronics, vol. 28, nº 6, pp. 2739-2752, June 2013. http://dx.doi.org/10.1109/TPEL.2012.2225076
[17] L. Chen, C. Hu, Q. Zhang, K. Zhang, I. Batarseh, “Modeling and Triple- Loop Control of ZVS Grid-Connected DC/AC Converters for Three-Phase Balanced Microinverter Application,” IEEE Transactions on Power Electronics, vol. 30, nº 4, pp. 2010-2021, April 2015. http://dx.doi.org/10.1109/TPEL.2014.2329278
[18] R. Peña-Alzola, M. Liserre, F. Blaabjerg, M. Ordonez, T. Kerekes, “A Self-commissioning Notch Filter for Active Damping in a Three-Phase LCL- Filter-Based Grid-Tie Converter,” IEEE Transactions on Power Electronics, vol. 29, nº 12, pp. 6754-6761, December 2014. http://dx.doi.org/10.1109/TPEL.2014.2304468
[19] F. Liu, Y. Zhou, S. Duan, J. Yin, B. Liu, F. Liu, “Parameter Design of a Two-Current-Loop Controller Used in a Grid-Connected Inverter System Wtih LCL Filter,” IEEE Transactions on Industrial Electronics, vol. 56, nº 11, pp. 4483-4491, November 2009. http://dx.doi.org/10.1109/TIE.2009.2021175
[20] D. Xue, Y. Chen, D. P. Atherton, Linear Feedback Control: Analysis and Design with Matlab, Philadelphia: SIAM, 2007, p. 131. http://dx.doi.org/10.1109/MCS.2008.930839
[21] R. Teodorescu, F. Blaabjerg, M. Liserre, P. C. Loh, “Proportional- resonant controllers and filters for grid-connected voltage-source converters,” IET Electric Power Applications, vol. 153, pp. 750-762, September 2006. http://dx.doi.org/10.1049/IP-EPA:20060008
[22] K. Ogata, Engenharia de Controle Moderno, 5ª ed., São Paulo: Pearson Education do Brasil, 2011.
[23] I. D. Landau, G. Zito, Digital Control Systems: Design, Identification and Implementation, Germany: Springer, 2006.
[24] P. S. Nascimento Filho, T. A. d. S. Barros, M. V. G. Reis, M. G. Villalva, E. Ruppert Filho, “Strategy for modeling a 3-phase grid-tie VSC with LCL filter and controlling the DC-link voltage and output current considering the filter dynamics,” IEEE 16th Workshop on Control and Modeling for Power Electronics (COMPEL), 2015. http://dx.doi.org/10.1109/COMPEL.2015.7236523
[25] T. Kailath, Linear Systems, Prentice Hall, 1980.
[26] M. F. Schonardie, R. F. Coelho, D. C. Martins, “Active and Reactive Power Control in A Three-Phase Grid-Connected Pv Power System Using dq0 Transformation,” Eletrônica de Potência, vol. 18, pp. 1180-1187, Novembro 2013. http://dx.doi.org/10.18618/REP.2013.4.11801187.

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