Experimental Validation of Offset-Free Model-Based Predictive Control in Voltage Source Inverters for Grid Connected and Microgrids Applications
Source abstract
Abstract
This article presents the experimental validation of a model-based predictive control (MPC) strategy for the safe interconnection of voltage source inverters (VSI) with output LC filters for the grid connection of DC energy resources. The MPC is formulated as a quadratic programming (QP) problem and solved using the operator splitting quadratic programs (OSQP). The proposed approach incorporates integral action to achieve precise voltage magnitude reference tracking while accounting for modulated voltage limits and nominal current constraints within the control design. The effectiveness of the proposed strategy is validated through simulations conducted in MATLAB, demonstrating superior dynamic performance compared to the traditional hierarchical PI control. The implementation of the proposed MPC is experimentally verified on a VSI setup using the dSPACE MicroLabBox. The results confirm that the computational requirements are satisfied, establishing this approach as a practical alternative for modern power electronic systems. The proposed MPC for VSIs offers an effective approach to enforcing operational constraints, improving dynamic performance, and facilitating the robust integration of renewable energy sources in microgrids.
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Research context
OpenAlex topics: Microgrid Control and Optimization · Multilevel Inverters and Converters · Advanced DC-DC Converters
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Departamento Electrónica, Universidad Técnica Federico Santa María (UTFSM), Av. España 1680, Valparaíso 2390123, Chile
Advanced Center for Electrical and Electronic Engineering (AC3E), Gral. Bari 699, Valparaíso 2390136, Chile
Centro Científico Tecnológico de Valparaíso (CCTVal), Gral. Bari 699, Valparaíso 2390136, Chile
Funding
Chilean National Agency for Research and Development (ANID) Scholarship Program/doctorado nacional · PIIC program of DGP at Universidad Técnica Federico Santa María · ANID-Fondecyt · ANID-Basal Project · ANID-PIA/Apoyo
References (38)
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1. Machado, E.P., Pinto, A.C., Ramos, R.P., Prates, R.M., Sá, J.d., de Lima, J.I., Costa, F.B., Fernandes, D., and Pereira, A.C. (2024). Modeling, Control and Validation of a Three-Phase Single-Stage Photovoltaic System. Energies, 17.10.3390/en17235953 ↗
2. Review of Power Sharing Control Strategies for Islanding Operation of AC Microgrids10.1109/TSG.2015.2434849 ↗
3. Simple Power Control for Sensorless Induction Motor Drives Fed by a Matrix Converter10.1109/TEC.2008.921472 ↗
4. Model Predictive Control Strategies in Switched Reluctance Motor Drives—An Overview10.1109/TPEL.2024.3454819 ↗
5. Dynamic Control and Optimization of Distributed Energy Resources in a Microgrid10.1109/TSG.2015.2430286 ↗
6. Transformerless Inverter Topologies for Single-Phase Photovoltaic Systems: A Comparative Review10.1109/JESTPE.2019.2908672 ↗
7. Cedeño, A.L., Ahuar, R.L., Rojas, J., Carvajal, G., Silva, C., and Agüero, J.C. (2022). Model Predictive Control for Photovoltaic Plants with Non-Ideal Energy Storage Using Mixed Integer Linear Programming. Energies, 15.10.3390/en15176427 ↗
8. Integration of Wind Energy into Electricity Systems: Technical Challenges and Actual Solutions10.1016/j.egypro.2011.05.092 ↗
9. A Simple Voltage Sensorless Active Damping Scheme for Three-Phase PWM Converters With an LCL Filter10.1109/TIE.2008.917066 ↗
10. Microgrid Modeling for Stability Analysis10.1109/TSG.2023.3326063 ↗
11. Yazdani, A. (2008, January 20–24). Control of an Islanded Distributed Energy Resource Unit with Load Compensating Feed-Forward. Proceedings of the 2008 IEEE Power and Energy Society General Meeting—Conversion and Delivery of Electrical Energy in the 21st Century, Pittsburgh, PA, USA.10.1109/PES.2008.4595978 ↗
12. Control Strategy for Dispatchable Distributed Energy Resources in Islanded Microgrids10.1109/TPWRS.2017.2692801 ↗
13. Bolton, W. (2015). Control Systems. Instrumentation and Control Systems, Elsevier.10.1016/B978-0-08-100613-9.00013-4 ↗
14. Pérez-Ibacache, R., Pimentel, G.A., Silva, C.A., and Agüero, J.C. (2019, January 15–18). State Feedback Control with Full Disturbance Compensation for an LC Filtered Grid-Forming Converter. Proceedings of the 2019 IEEE PES Innovative Smart Grid Technologies Conference - Latin America (ISGT Latin America), Gramado, Brazil.10.1109/ISGT-LA.2019.8894934 ↗
15. Borrelli, F., Bemporad, A., and Morari, M. (2017). Predictive Control for Linear and Hybrid Systems, Cambridge University Press.10.1017/9781139061759 ↗
16. Efficient Implicit Model-Predictive Control of a Three-Phase Inverter with an Output LC Filter10.1109/TPEL.2016.2535263 ↗
17. Alhosaini, W., and Zhao, Y. (2019, January 17–21). A Model Predictive Voltage Control Using Virtual Space Vectors for Grid-Forming Energy Storage Converters. Proceedings of the 2019 IEEE Applied Power Electronics Conference and Exposition (APEC), Anaheim, CA, USA.10.1109/APEC.2019.8722151 ↗
18. Enhancing voltage stability of grid forming power converters based on model predictive controller10.1016/j.ijepes.2024.110317 ↗
19. Gholami-Khesht, H., Davari, P., and Blaabjerg, F. (2021). An adaptive model predictive voltage control for LC-filtered voltage source inverters. Appl. Sci., 11.10.3390/app11020704 ↗
20. Bidram, A., Nasirian, V., Davoudi, A., and Lewis, F.L. (2017). Cooperative Synchronization in Distributed Microgrid Control, Springer.10.1007/978-3-319-50808-5 ↗
21. Rawlings, J.B., Mayne, D.Q., and Diehl, M. (2017). Model Predictive Control: Theory, Computation, and Design, Nob Hill Publishing.
22. Mosek ApS (2024, December 17). MOSEK Optimization Toolbox for MATLAB. Available online: https://www.mosek.com/documentation/.
23. Gurobi Optimization, Inc (2024, December 17). Gurobi Optimizer Reference Manual. Available online: http://www.gurobi.com.
24. Domahidi, A., Chu, E., and Boyd, S. (2013, January 17–19). ECOS: An SOCP solver for embedded systems. Proceedings of the 2013 European Control Conference, ECC 2013, Zurich, Switzerland.10.23919/ECC.2013.6669541 ↗
25. OSQP: An Operator Splitting Solver for Quadratic Programs10.1007/s12532-020-00179-2 ↗
26. Ahuar, R.L., Cedeño, A.L., Pérez-Ibacache, R., Agüero, J.C., and Silva, C.A. (2021, January 22–26). Comments on the Numerical Efficiency of Constrained MPC of an Inverter with LC Output Filter. Proceedings of the 2021 IEEE International Conference on Automation/XXIV Congress of the Chilean Association of Automatic Control (ICA-ACCA), Valparaíso, Chile.10.1109/ICAACCA51523.2021.9465301 ↗
27. ADMM-Based Multi-Objective Control Scheme for Mitigating the Impact of High Penetration DER Integration in the Modern Distribution Systems10.1109/ACCESS.2023.3266650 ↗
28. An ADMM-based power system partitioned black-start and parallel restoration method considering high-penetrated renewable energy10.1016/j.ijepes.2023.109532 ↗
29. Decentralized Model-Based Predictive Control for DER Units Integration in AC Microgrids Subject to Operational and Safety Constraints
30. Mohan, N., Robbins, W.P., and Undeland, M.N. (1995). Power Electronics: Converters, Applications, and Design, John Wiley & Sons.
31. Ogata, K. (1995). Discrete-Time Control Systems, Prentice-Hall, Inc.
32. Söderström, T. (2002). Discrete-Time Stochastic Systems: Estimation and Control, Springer Science & Business Media.10.1007/978-1-4471-0101-7 ↗
33. Simple and Certifiable Quadratic Programming Algorithms for Embedded Linear Model Predictive Control10.3182/20120823-5-NL-3013.00009 ↗
34. Model Predictive Control with Integral Action: A simple MPC algorithm10.4173/mic.2013.3.2 ↗
35. Perez, J.L., Kerrigan, E.C., and Constantinides, G.A. (2011, January 12–15). A condensed and sparse QP formulation for predictive control. Proceedings of the 2011 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, USA.
36. High-Quality Power Generation Through Distributed Control of a Power Park Microgrid10.1109/TIE.2006.882019 ↗
37. Banjac, G., Stellato, B., Moehle, N., Goulart, P., Bemporad, A., and Boyd, S. (2017, January 12–15). Embedded Code Generation Using the OSQP Solver. Proceedings of the IEEE Conference on Decision and Control (CDC), Melbourne, VIC, Australia.10.1109/CDC.2017.8263928 ↗
38. Hierarchical control structure in microgrids with distributed generation: Island and grid connected mode10.1016/j.rser.2015.01.008 ↗