DISCRETE TIME QUASI-SLIDING MODE-BASED CONTROL OF LCL GRID INVERTERS
Abstract
Application of a discrete time (DT) sliding mode controller (SMC) in the control structure of the primary controller of a three-phase LCL grid inverter is presented. The design of the inverter side current control loop is performed using a DT linear model of the grid inverter with LCL filter at output terminals. The DT quasi-sliding mode control was used due to its robustness to external and parametric disturbances. Additionally, in order to improve disturbance compensation, a disturbance compensator is also implemented. Also, a specific anti-windup mechanism has been implemented in the structure of the controller to prevent large overshoots in the inverter response in case of random disturbances of grid voltages, or sudden changes in the commanded power. The control of the grid inverter is realized in the reference system synchronized with the voltage of the power grid. The development of the digitally realized control subsystem is presented in detail, starting from theoretical considerations, through computer simulations to experimental tests. The experimental results confirm good static and dynamic performance.
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E. Hache and A. Palle, "Renewable Energy Source Integration into Power Networks, Research Trends and Policy Implications: A Bibliometric and Research Actors Survey Analysis", Energy Policy, vol. 124, pp. 23-35, July 2019.
M. A. Hossain, H. R. Pota, M. J. Hossain, F. Blaabjerg, "Evolution of Microgrids with Converter-Interfaced Generations: Challenges and Opportunities", International Journal of Electrical Power & Energy Systems, vol. 109, pp 160-186, 2019.
A. Q Al-Shetwi, M. Z. Sujod, "Grid-Connected Photovoltaic Power Plants: a Review of the Recent Integration Requirements in Modern Grid Codes", Int J Energy Res. vol. 42, no.5, pp. 1849-1865, April 2018.
European Commission, "Commission Regulation (EU) 2016/631 of 14 April 2016, establishing a network code on requirements for grid connection of generators", Off. J. Eur. Union, 2016.
IEEE Std 1547-2018 (Revision of IEEE Std 1547-2003) - IEEE Standard for Interconnection and Interoperability of Distributed Energy Resources with Associated Electric Power Systems Interfaces, 2018.
M. Liserre, F. Blaabjerg, and 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, Sep. 2005.
E. Twining and D. G. Holmes, "Grid Current Regulation of a Three-Phase Voltage Source Inverter with an LCL Input Filter", IEEE Transactions on Power Electronics, vol. 18, no. 3, pp. 888-895, May 2003.
Y. Han et al., "Modeling and Stability Analysis of LCL -Type Grid-Connected Inverters: A Comprehensive Overview", IEEE Access, vol. 7, pp. 114975-115001, 2019.
J. Rocabert, A. Luna, F. Blaabjerg, and P. Rodríguez, "Control of Power Converters in AC microgrids", IEEE Transactions on Power Electronics, vol. 27, no. 11, pp. 4734-4749, 2012.
K. Ahmed, M. Seyedmahmoudian, S. Mekhilef, N. M. Mubarak, and A. Stojcevski, "A Review on Primary and Secondary Controls of Inverter-interfaced Microgrid", Journal of Modern Power Systems and Clean Energy, vol. 9, no. 5. State Grid Electric Power Research Institute, pp. 969-985, Sep. 01, 2021.
Q. Liu, T. Caldognetto and S. Buso, "Review and Comparison of Grid-Tied Inverter Controllers in Microgrids", IEEE Transactions on Power Electronics, vol. 35, no. 7, pp. 7624-7639, July 2020.
M. Ramezani, S. Li, S. Golestan, "Analysis and Controller Design for Stand-alone VSIs in Synchronous Reference Frame", IET Power Electronics, vol. 10, no. 9, pp. 1003-1012, 2017.
D. Pan, X. Ruan, X. Wang, H. Yu and Z. Xing, "Analysis and Design of Current Control Schemes for LCL-Type Grid-Connected Inverter Based on a General Mathematical Model", IEEE Transactions on Power Electronics, vol. 32, no. 6, pp. 4395-4410, June 2017.
F. Liu, Y. Zhou, S. Duan, J. Yin, B. Liu, and F. Liu, "Parameter Design of a Two-current-loop Controller Used in a Grid-connected Inverter System with LCL Filter", IEEE Transactions on Industrial Electronics, vol. 56, no. 11, pp. 4483-4491, 2009.
R. Guzman, L. G. de Vicuña, M. Castilla, J. Miret and J. de la Hoz, "Variable Structure Control for Three-Phase LCL-Filtered Inverters Using a Reduced Converter Model", IEEE Transactions on Industrial Electronics, vol. 65, no. 1, pp. 5-15, Jan. 2018,
M. Bierhoff, R. Soliman, and J. R. Espinoza C, "Analysis and Design of Grid-Tied Inverter with LCL Filter", IEEE Open Journal of Power Electronics, vol. 1, pp. 161-169, May 2020.
R. Errouissi and A. Al-Durra, "Design of PI Controller Together with Active Damping for Grid-Tied LCL-Filter Systems Using Disturbance-Observer-Based Control Approach", IEEE Transactions on Industry Applications, vol. 54, no. 4, pp. 3820-3831, July-Aug. 2018.
R. Teodorescu, F. Blaabjerg, M. Liserre, P. C. Loh, "Proportional-resonant Controllers and Filters for Grid-connected Voltage-source Converters", IEE Proceedings-Electric Power Applications, vol. 153, no. 5, pp. 750-762, 2006.
L. A. Maccari, D. M. Lima, G. G. Koch, V.F. Montagner, "Robust Model Predictive Controller Applied to Three-Phase Grid-Connected LCL Filters", J Control Autom Electr Syst, vol. 31, pp. 447-460, 2020.
Y. G. Gao, F. Y. Jiang, J. C. Song, L. J. Zheng, F. Y. Tian, P. L. Geng, "A Novel Dual Closed-loop Control Scheme Based on Repetitive Control for Grid-connected Inverters with an LCL filter", ISA Transactions, vol. 74, pp. 194-208, 2018.
C. Dang, X. Tong, W. Song, "Sliding-mode control in dq-frame for a three-phase grid-connected inverter with LCL-filter", Journal of the Franklin Institute, vol. 357, no. 15, pp. 10159-10174, Sept. 2020.
G. V. Hollweg, P. J. D. de Oliveira Evald, R. V. Tambara, H. A. Gründling, "A Robust Adaptive Super-Twisting Sliding Mode Controller Applied on Grid-tied Power Converter with an LCL filter", Control Engineering Practice, vol. 122, id. 105104, May 2022.
B. Guo et al., "A Robust Second-Order Sliding Mode Control for Single-Phase Photovoltaic Grid-Connected Voltage Source Inverter", IEEE Access, vol. 7, pp. 53202-53212, 2019.
Č. Milosavljevic,"General conditions for existence of a quasi-sliding mode on the switching hyperplane in discrete variable structure systems", Automation and Remote Control, vol. 46, no. 3, pp. 307-314, 1985.
G. Golo, Č. Milosavljević, "Robust Discrete-time Chattering Free Sliding Mode Control", Systems & Control Letters, vol. 41, no.1, pp. 19-28, 2000
Č. Milosavljević, M. Petronijević, B. Veselić, B. Peruničić-Draženović, S. Huseinbegović, "Robust Discrete-time Quasi-sliding Mode Based Nonlinear PI controller Design for Control of Plants with Input Saturation", Journal of Control Engineering and Applied Informatics, vol. 21, no. 3, pp. 31-41, 2019.
M. Lješnjanin, B. Draženović, Č. Milosavljević, B. Veselić, "Disturbance compensation in digital sliding mode", In Proceedings of the 2011 IEEE EUROCON-International Conference on Computer as a Tool, 2011, pp. 1-4
B. Draženović, Č. Milosavljević, B. Veselić, Comprehensive approach to sliding mode design and analysis in linear systems, Advances in Sliding Mode Control, 2013, pp. 1-19. Springer, Berlin, Heidelberg.
R. Guzman, L. G. de Vicuña, J. Morales, M. Castilla and J. Miret, "Model-Based Active Damping Control for Three-Phase Voltage Source Inverters with LCL Filter", IEEE Transactions on Power Electronics, vol. 32, no. 7, pp. 5637-5650, July 2017.
W. Tang, K. Ma and Y. Song, "Critical Damping Ratio to Ensure Design Efficiency and Stability of LCL Filters", IEEE Transactions on Power Electronics, vol. 36, no. 1, pp. 315-325, Jan. 2021.
J. Wang, J. D. Yan, L. Jiang and J. Zou, "Delay-Dependent Stability of Single-Loop Controlled Grid-Connected Inverters with LCL Filters", IEEE Transactions on Power Electronics, vol. 31, no. 1, pp. 743-757, Jan. 2016.
Xia and J. Kang, "Stability of LCL-filtered Grid-connected Inverters with Capacitor Current Feedback Active Damping Considering Controller Time Delays", Journal of Modern Power Systems and Clean Energy, vol. 5, no. 4, pp. 584-598, July 2017.
T. Liu, J. Liu, Z. Liu and Z. Liu, "A Study of Virtual Resistor-Based Active Damping Alternatives for LCL Resonance in Grid-Connected Voltage Source Inverters", IEEE Transactions on Power Electronics, vol. 35, no. 1, pp. 247-262, Jan. 2020.
G. Bartolini, A. Ferrara, V. I. Utkin, "Adaptive sliding mode control in discrete-time systems", Automatica, pp. 769-773, vol. 5, no. 31, 1995.
B. Veselić, B. Peruničić-Draženović, Č. Milosavljević, "Improved discrete-time sliding-mode position control using Euler velocity estimation", IEEE Transactions on Industrial Electronics, vol. 11. no. 57, pp. 3840-3847, 2010.
B. Veselić, Č. Milosavljević, B. Peruničić-Draženović, S. Huseinbegović, M. Petronijević, "Discrete-time sliding mode control of linear systems with input saturation", International Journal of Applied Mathematics and Computer Science, vol. 30, no. 3, pp. 517-528, 2020.
M. Said-Romdhane, M. Naouar, I. Belkhodja, and E. Monmasson, "An Improved LCL Filter Design in Order to Ensure Stability without Damping and Despite Large Grid Impedance Variations", Energies, vol. 10, no. 3, p. 336, Mar. 2017.
D.-C. Lee and G.-M. Lee, "A novel overmodulation technique for space-vector PWM inverters", IEEE Transactions on Power Electronics, vol. 13, no. 6, pp. 1144-1151, Nov. 1998.
M. Liserre, R. Teodorescu and F. Blaabjerg, "Multiple harmonics control for three-phase grid converter systems with the use of PI-RES current controller in a rotating frame", IEEE Transactions on Power Electronics, vol. 21, no. 3, pp. 836-841, May 2006.
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