Abstract
This paper proposes a data-driven approach strategy for enhancing the performance of grid forming converters (GFCs) in microgrids by leveraging the capabilities of dynamic mode decomposition (DMD) in combination with finite-control-set model predictive control (FCS-MPC). Conventional FCS-MPC, based on static models, have encountered numerous challenges in addressing parametric uncertainties in microgrid applications. To address this, the proposed strategy introduces an adaptive model based on DMD, integrated into the FCS-MPC framework to yield a more robust and reliable control technique in the presence of parametric uncertainties. The proposed data-driven approach utilizes the DMD-based model in combination with FCS-MPC to effectively share power through primary control and maintain voltage and frequency stability through secondary control, thus achieving improved reference tracking, load power variation robustness, and power quality. The effectiveness and efficiency of this proposed data-driven approach were validated through a comparative study with conventional static model FCS-MPC and double loop PI control, utilizing the MATLAB/Simulink platform.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
P. Roy, J. He, T. Zhao, and Y. V. Singh, “Recent advances of wind-solar hybrid renewable energy systems for power generation: A review,” IEEE Open Journal of the Industrial Electronics Society, vol. 3, pp. 81–104, 2022.
S. D. Ahmed, F. S. M. Al-Ismail, M. Shafiullah, F. A. Al-Sulaiman, and I. M. El-Amin, “Grid integration challenges of wind energy: A review,” IEEE Access, vol. 8, pp. 10857–10878, 2020.
S. Impram, S. Varbak Nese, and B. Oral, “Challenges of renewable energy penetration on power system flexibility: A survey,” Energy Strategy Reviews, vol. 31, 100539, September 2018.
J. Viinamäki, A. Kuperman, and T. Suntio, “Grid-forming-mode operation of boost-power-stage converter in PV-generator-interfacing applications,” Energies, vol. 10, no. 7, 1033, 2017.
Y. Jiang, A. Bernstein, P. Vorobev, and E. Mallada, “Grid-forming frequency sha** control for low-inertia power systems,” IEEE Control Systems Letters, vol. 5, no. 6, pp. 1988–1993, 2021.
Q. Li, C. Peng, M. Wang, M. Chen, J. M. Guerrero, and D. Abbott, “Distributed secondary control and management of islanded microgrids via dynamic weights,” IEEE Transactions on Smart Grid, vol. 10, no. 2, pp. 2196–2207, 2019.
N. M. Dehkordi, N. Sadati, and M. Hamzeh, “Distributed robust finite-time secondary voltage and frequency control of islanded microgrids,” IEEE Transactions on Power Systems, vol. 32, no. 5, pp. 3648–3659, 2017.
Y. Xu, Q. Guo, S. Member, and H. Sun, “Distributed discrete robust secondary cooperative control for islanded microgrids,” IEEE Transactions on Smart Grid, vol. 10, no. 4, pp. 3620–3629, 2019.
X. Hou, Y. Sun, W. Yuan, H. Han, C. Zhong, and J. M. Guerrero, “Conventional P-ω/Q-V droop control in highly resistive line of low-voltage converter-based AC microgrid,” Energies, vol. 9, no. 11, 943, 2016.
R. H. Lasseter, Z. Chen, and D. Pattabiraman, “Grid-forming inverters: A critical asset for the power grid,” IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 8, no. 2, pp. 925–935, 2020.
A. Singhal, T. L. Vu, and W. Du, “Coordinated frequency and voltage regulation of grid-following and grid-forming inverters,” ar**v:2012.06685, 2020.
F. Doost Mohammadi, H. Keshtkar, A. Dehghan Banadaki, and A. Feliachi, “A novel cooperative distributed secondary controller for VSI and PQ inverters of AC microgrids,” Heliyon, vol. 5, no. 6, e01823, 2019.
X. Wu, C. Shen, and R. Iravani, “A distributed, cooperative frequency and voltage control for microgrids,” IEEE Transactions on Smart Grid, vol. 9, no. 4, pp. 2764–2776, 2018.
S. Anttila, J. S. Döhler, J. G. Oliveira, and C. Boström, “Grid forming inverters: A review of the state of the art of key elements for microgrid operation,” Energies, vol. 15, no. 15, pp. 1–30, 2022.
S. Ishaq, I. Khan, S. Rahman, T. Hussain, A. Iqbal, and R. M. Elavarasan, “A review on recent developments in control and optimization of micro grids,” Energy Reports, vol. 8, pp. 4085–4103, 2022.
A. M. Bouzid, J. M. Guerrero, A. Cheriti, M. Bouhamida, P. Sicard, and M. Benghanem, “A survey on control of electric power distributed generation systems for microgrid applications,” Renewable and Sustainable Energy Reviews, vol. 44, pp. 751–766, 2015.
Z. Li, C. Zang, P. Zeng, H. Yu, S. Li, and J. Bian, “Control of a grid-forming inverter based on sliding-mode and mixed H2/H∞ control,” IEEE Transactions on Industrial Electronics, vol. 64, no. 5, pp. 3862–3872, 2017.
M. Ghazzali, M. Haloua, and F. Giri, “Modeling and adaptive control and power sharing in islanded AC microgrids,” International Journal of Control, Automation, and Systems, vol. 18, no. 5, pp. 1229–1241, 2020.
I. Furtat, A. Nekhoroshikh, and P. Gushchin, “Synchronization of multi-machine power systems under disturbances and measurement errors,” International Journal of Adaptive Control and Signal Processing, vol. 36, no. 6, pp. 1272–1284, 2022.
Y. Hirase, K. Abe, K. Sugimoto, K. Sakimoto, H. Bevrani, and T. Ise, “A novel control approach for virtual synchronous generators to suppress frequency and voltage fluctuations in microgrids,” Applied Energy, vol. 210, pp. 699–710, 2018.
A. Parisio, E. Rikos, and L. Glielmo, “A model predictive control approach to microgrid operation optimization,” IEEE Transactions on Control Systems Technology, vol. 22, no. 5, pp. 1813–1827, 2014.
F. Yazdi and S. H. Hosseinian, “Variable cost model predictive control strategies for providing high-quality power to AC microgrids,” IET Generation, Transmission & Distribution, vol. 13, no. 16, pp. 3623–3633, 2019.
M. Alhasheem, A. Abdelhakim, F. Blaabjerg, P. Mattavelli, and P. Davari, “Model predictive control of grid forming converters with enhanced power quality,” Applied Sciences, vol. 10, no. 18, 6390, 2020.
M. M. Aghdam, L. Li, and J. Zhu, “Comprehensive study of finite control set model predictive control algorithms for power converter control in microgrids,” IET Smart Grid, vol. 3, no. 1, pp. 1–10, 2020.
Y. Teng, W. Deng, W. Pei, Y. Li, L. Ding, and H. Ye, “Review on grid-forming converter control methods in highproportion renewable energy power systems,” Global Energy Interconnection, vol. 5, no. 3, pp. 328–342, 2022.
H. A. Young, M. A. Perez, and J. Rodriguez, “Analysis of finite-control-set model predictive current control with model parameter mismatch in a three-phase inverter,” IEEE Transactions on Industrial Electronics, vol. 63, no. 5, pp. 3100–3107, 2016.
J. Yang, Y. Liu, and R. Yan, “A comparison of finite control set and continuous control set model predictive control schemes for model parameter mismatch in three-phase APF,” Frontiers in Energy Research, vol. 9, pp. 1–12, August 2021.
L. Cheng, W. Wu, L. Qiu, X. liu, J. Ma, J. Zhang, and Y. Fang, “An improved data-driven based model predictive control for zero-sequence circulating current suppression in paralleled converters,” International Journal of Electrical Power & Energy Systems, vol. 143, no. October 2021.
W. Wu, L. Qiu, J. Rodriguez, X. Liu, J. Ma, and Y. Fang, “Data-driven finite control-set model predictive control for modular multilevel converter,” IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 11, no. 1, pp. 523–531, 2023.
J. N. Kutz, J. N. Kutz, S. L. Brunton, B. W. Brunton, and J. L. Proctor, Dynamic Mode Decomposition: Data-driven Modeling of Complex Systems, SIAM-Society for Industrial and Applied Mathematics 2021.
C. N. S. Jones and S. V. Utyuzhnikov, “Application of higher order dynamic mode decomposition to modal analysis and prediction of power systems with renewable sources of energy,” International Journal of Electrical Power & Energy Systems, vol. 138, 107925, 2022.
F. Wilches-Bernal, M. J. Reno, and J. Hernandez-Alvidrez, “A dynamic mode decomposition scheme to analyze power quality events,” IEEE Access, vol. 9, pp. 70775–70788, 2021.
A. Alassaf and L. Fan, “Dynamic mode decomposition in various power system applications,” Proc. of 51st North American Power Symposium (NAPS), 2019.
Y. Susuki and A. Chakrabortty, “Introduction to Koopman mode decomposition for data-based technology of power system nonlinear dynamics,” IFAC-PapersOnLine, vol. 25, no. 6, pp. 327–332, 2018.
S. Mohapatra and T. J. Overbye, “Fast modal identification, monitoring, and visualization for large-scale power systems using dynamic mode decomposition,” Proc. of 19th Power Systems Computation Conference (PSCC), 2016.
H. Ahmadi, Q. Shafiee, and H. Bevrani, “Mathematical modeling of islanded microgrid with static and dynamic loads,” Nexo Revista Científica, vol. 34, no. 02, pp. 886–905, 2021.
M. M. Alam, C. Moreira, M. R. Islam, and I. M. Mehedi, “Continuous power flow analysis for micro-generation integration at low voltage grid,” Proc. of 2nd International Conference on Electrical, Computer and Communication Engineering (ECCE), pp. 1–5, 2019.
N. Soni, S. Doolla, and M. C. Chandorkar, “Analysis of frequency transients in isolated microgrids,” IEEE Transactions on Industry Applications, vol. 53, no. 6, pp. 5940–5951, 2017.
M. A. Hassan, “Dynamic stability of an autonomous microgrid considering active load impact with a new dedicated synchronization scheme,” IEEE Transactions on Power Systems, vol. 33, no. 5, pp. 4994–5005, 2018.
J. F. Patarroyo-Montenegro, J. D. Vasquez-Plaza, and F. Andrade, “A state-space model of an inverter-based microgrid and design,” Energies, vol. 13, no. 12, 3279, 2020.
L. Fan, “Data fusion-based distributed Prony analysis,” Electric Power Systems Research, vol. 143, pp. 634–642, 2017.
G. Bacelli, R. G. Coe, D. Patterson, and D. Wilson, “System identification of a heaving point absorber: Design of experiment and device modeling,” Energies, vol. 10, no. 4, 2017.
P. J. Schmid, “Dynamic mode decomposition of numerical and experimental data,” Journal of Fluid Mechanics, vol. 656, pp. 5–28, 2010.
J. A. Rosenfeld and R. Kamalapurkar, “Dynamic mode decomposition with control Liouville operators,” IFACPapersOnLine, vol. 54, no. 9, pp. 707–712, 2021.
P. van Overschee and B. de Moor, “N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems,” Autometica, vol. 30, no. 1, pp. 75–93, 1994.
Z. Bai, E. Kaiser, J. L. Proctor, J. N. Kutz, and S. L. Brunton, “Dynamic mode decomposition for compressive system identification,” AIAA Journal, vol. 58, no. 2, pp. 561–574, 2020.
S. Shin, Q. Lu, and V. M. Zavala, “Unifying theorems for subspace identification and dynamic mode decomposition,” ar**v:2003.07410, March, 2020.
T. Katayama, Subspace Methods for System Identification, Soringer, 20045.
J. M. Guerrero, J. C. Vasquez, J. Matas, L. G. de Vicunaa, and M. Castilla, “Hierarchical control of droop-controlled AC and DC microgrids: A general approach toward standardization,” IEEE Transactions on Industrial Electronics, vol. 58, no. 1, pp. 158–172, 2011.
J. Vasquez, J. Guerrero, J. Miret, M. Castilla, and L. G. de Vicuna, “Hierarchical control of intelligent microgrids,” IEEE Industrial Electronics Magazine, vol. 4, no. 4, pp. 23–29, 2010.
S. Briefs and I. N. Energy, Basic Tutorial on Simulation Using Matlab and Simulink.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that there is no competing financial interest or personal relationship that could have appeared to influence the work reported in this paper.
Additional information
Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Ahmed S. Omran is a Ph.D. student in electrical engineering at the Arab Academy for Science, Technology and Maritime Transport (AASTMT) in Alexandria, Egypt. He obtained his B.Sc. and M.Sc. degrees in electrical engineering from Alexandria University, Egypt, in 2007 and 2019, respectively. Currently, he holds the esteemed Electrical Maintenance Department Head position at Sidi Kerir Petrochemicals Company (SIDPEC) and is an energy efficiency expert specializing in motor system optimization. His research interests include power electronics applications in power quality, electric drives, microgrids, data-driven control, energy management systems, and renewable energy.
Mostafa S. Hamad obtained his B.Sc. and M.Sc. degrees in electrical engineering from Alexandria University, Alexandria, Egypt, in 1999 and 2003, respectively, and a Ph.D. degree in electrical engineering from Strathclyde University, Glasgow, UK, in 2009. Currently, he is a Professor in the Department of Electrical and Control Engineering, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria, Egypt. His research interests include power electronics applications in power quality, electric drives, distributed generation, HVDC transmission systems, and renewable energy.
M. Abdelgeliel received his B.Sc. degree in electrical engineering from Alexandria University, Egypt, in 1995. He finished an M.Sc. degree in automatic control from the Arab Academy for Science, Technology and Maritime Transport (AASTMT), Egypt, in 2000. He received a Ph.D. degree in automatic control from Mannheim University, Germany in 2006. He is currently a professor in the Electrical and Control Engineering Department and the head of the energy research unit, AASTMT. His research interests include automatic control applications in renewable energy and energy management in addition to fault diagnosis and tolerant systems. He is a member of IEEE and AEE.
Ayman S. Abdel-Khalik received his B.Sc. and M.Sc. degrees in electrical engineering from Alexandria University, Alexandria, Egypt, in 2001 and 2004, respectively, and a Ph.D. degree in electrical engineering from Alexandria University, and Strathclyde University, Glasgow, UK, in 2009, under a dual channel program. He is currently a Professor with the Electrical Engineering Department, Faculty of Engineering, Alexandria University, Alexandria, Egypt. He serves as an Associate Editor of IEEE Transactions on Industrial Electronics and IET Electric Power Applications Journal. Also, he serves as the Executive Editor of Alexandria Engineering Journal. His current research interests include electrical machine design and modelling, electric drives, energy conversion, and renewable energy.
Rights and permissions
About this article
Cite this article
Omran, A.S., Hamad, M.S., Abdelgeliel, M. et al. An Adaptive Model Based on Data-driven Approach for FCS-MPC Forming Converter in Microgrid. Int. J. Control Autom. Syst. 21, 3777–3795 (2023). https://doi.org/10.1007/s12555-022-0928-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-022-0928-4