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Fractional-Order Control of Grid-Connected Photovoltaic System Based on Synergetic and Sliding Mode Controllers

Author

Listed:
  • Marcel Nicola

    (Research and Development Department, National Institute for Research, Development and Testing in Electrical Engineering—ICMET Craiova, 200746 Craiova, Romania)

  • Claudiu-Ionel Nicola

    (Research and Development Department, National Institute for Research, Development and Testing in Electrical Engineering—ICMET Craiova, 200746 Craiova, Romania
    Department of Automatic Control and Electronics, University of Craiova, 200585 Craiova, Romania)

Abstract

Starting with the problem of connecting the photovoltaic (PV) system to the main grid, this article presents the control of a grid-connected PV system using fractional-order (FO) sliding mode control (SMC) and FO-synergetic controllers. The article presents the mathematical model of a PV system connected to the main grid together with the chain of intermediate elements and their control systems. To obtain a control system with superior performance, the robustness and superior performance of an SMC-type controller for the control of the u dc voltage in the DC intermediate circuit are combined with the advantages provided by the flexibility of using synergetic control for the control of currents i d and i q . In addition, these control techniques are suitable for the control of nonlinear systems, and it is not necessary to linearize the controlled system around a static operating point; thus, the control system achieved is robust to parametric variations and provides the required static and dynamic performance. Further, by approaching the synthesis of these controllers using the fractional calculus for integration operators and differentiation operators, this article proposes a control system based on an FO-SMC controller combined with FO-synergetic controllers. The validation of the synthesis of the proposed control system is achieved through numerical simulations performed in Matlab/Simulink and by comparing it with a benchmark for the control of a grid-connected PV system implemented in Matlab/Simulink. Superior results of the proposed control system are obtained compared to other types of control algorithms.

Suggested Citation

  • Marcel Nicola & Claudiu-Ionel Nicola, 2021. "Fractional-Order Control of Grid-Connected Photovoltaic System Based on Synergetic and Sliding Mode Controllers," Energies, MDPI, vol. 14(2), pages 1-25, January.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:2:p:510-:d:483176
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    1. Abdollah Younesi & Hossein Shayeghi & Pierluigi Siano, 2020. "Assessing the Use of Reinforcement Learning for Integrated Voltage/Frequency Control in AC Microgrids," Energies, MDPI, vol. 13(5), pages 1-22, March.
    2. Thiago Tricarico & Gustavo Gontijo & Marcello Neves & Matheus Soares & Mauricio Aredes & Josep M. Guerrero, 2019. "Control Design, Stability Analysis and Experimental Validation of New Application of an Interleaved Converter Operating as a Power Interface in Hybrid Microgrids," Energies, MDPI, vol. 12(3), pages 1-23, January.
    3. Giovanni Artale & Giuseppe Caravello & Antonio Cataliotti & Valentina Cosentino & Dario Di Cara & Salvatore Guaiana & Ninh Nguyen Quang & Marco Palmeri & Nicola Panzavecchia & Giovanni Tinè, 2020. "A Virtual Tool for Load Flow Analysis in a Micro-Grid," Energies, MDPI, vol. 13(12), pages 1-26, June.
    4. Michael D. Cook & Eddy H. Trinklein & Gordon G. Parker & Rush D. Robinett & Wayne W. Weaver, 2019. "Optimal and Decentralized Control Strategies for Inverter-Based AC Microgrids," Energies, MDPI, vol. 12(18), pages 1-20, September.
    5. Ariel Villalón & Marco Rivera & Yamisleydi Salgueiro & Javier Muñoz & Tomislav Dragičević & Frede Blaabjerg, 2020. "Predictive Control for Microgrid Applications: A Review Study," Energies, MDPI, vol. 13(10), pages 1-32, May.
    6. Juan Carlos Oviedo Cepeda & German Osma-Pinto & Robin Roche & Cesar Duarte & Javier Solano & Daniel Hissel, 2020. "Design of a Methodology to Evaluate the Impact of Demand-Side Management in the Planning of Isolated/Islanded Microgrids," Energies, MDPI, vol. 13(13), pages 1-24, July.
    7. Lei Song & Lijun Huang & Bo Long & Fusheng Li, 2020. "A Genetic-Algorithm-Based DC Current Minimization Scheme for Transformless Grid-Connected Photovoltaic Inverters," Energies, MDPI, vol. 13(3), pages 1-18, February.
    8. Michael Stadler & Zack Pecenak & Patrick Mathiesen & Kelsey Fahy & Jan Kleissl, 2020. "Performance Comparison between Two Established Microgrid Planning MILP Methodologies Tested On 13 Microgrid Projects," Energies, MDPI, vol. 13(17), pages 1-24, August.
    9. Haochen Hua & Yuchao Qin & Hanxuan Xu & Chuantong Hao & Junwei Cao, 2019. "Robust Control Method for DC Microgrids and Energy Routers to Improve Voltage Stability in Energy Internet," Energies, MDPI, vol. 12(9), pages 1-17, April.
    10. Xiangwu Yan & Yang Cui & Sen Cui, 2019. "Control Method of Parallel Inverters with Self-Synchronizing Characteristics in Distributed Microgrid," Energies, MDPI, vol. 12(20), pages 1-20, October.
    11. Adyr A. Estévez-Bén & Alfredo Alvarez-Diazcomas & Juvenal Rodríguez-Reséndiz, 2020. "Transformerless Multilevel Voltage-Source Inverter Topology Comparative Study for PV Systems," Energies, MDPI, vol. 13(12), pages 1-26, June.
    12. Boning Wu & Xuesong Zhou & Youjie Ma, 2020. "Bus Voltage Control of DC Distribution Network Based on Sliding Mode Active Disturbance Rejection Control Strategy," Energies, MDPI, vol. 13(6), pages 1-21, March.
    13. Kamil Khan & Ahmad Kamal & Abdul Basit & Tanvir Ahmad & Haider Ali & Anwar Ali, 2019. "Economic Load Dispatch of a Grid-Tied DC Microgrid Using the Interior Search Algorithm," Energies, MDPI, vol. 12(4), pages 1-13, February.
    14. Tariq Kamal & Murat Karabacak & Vedran S. Perić & Syed Zulqadar Hassan & Luis M. Fernández-Ramírez, 2020. "Novel Improved Adaptive Neuro-Fuzzy Control of Inverter and Supervisory Energy Management System of a Microgrid," Energies, MDPI, vol. 13(18), pages 1-22, September.
    15. Marino Coppola & Pierluigi Guerriero & Adolfo Dannier & Santolo Daliento & Davide Lauria & Andrea Del Pizzo, 2020. "Control of a Fault-Tolerant Photovoltaic Energy Converter in Island Operation," Energies, MDPI, vol. 13(12), pages 1-18, June.
    16. Jaber Alshehri & Muhammad Khalid & Ahmed Alzahrani, 2019. "An Intelligent Battery Energy Storage-Based Controller for Power Quality Improvement in Microgrids," Energies, MDPI, vol. 12(11), pages 1-21, June.
    17. Fei Zhao & Jinsha Yuan & Ning Wang & Zhang Zhang & Helong Wen, 2019. "Secure Load Frequency Control of Smart Grids under Deception Attack: A Piecewise Delay Approach," Energies, MDPI, vol. 12(12), pages 1-15, June.
    18. Oscar Danilo Montoya & Walter Gil-González & Edwin Rivas-Trujillo, 2020. "Optimal Location-Reallocation of Battery Energy Storage Systems in DC Microgrids," Energies, MDPI, vol. 13(9), pages 1-20, May.
    19. Yuichiro Yoshida & Hooman Farzaneh, 2020. "Optimal Design of a Stand-Alone Residential Hybrid Microgrid System for Enhancing Renewable Energy Deployment in Japan," Energies, MDPI, vol. 13(7), pages 1-18, April.
    20. Kishan Veerashekar & Halil Askan & Matthias Luther, 2020. "Qualitative and Quantitative Transient Stability Assessment of Stand-Alone Hybrid Microgrids in a Cluster Environment," Energies, MDPI, vol. 13(5), pages 1-43, March.
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    Cited by:

    1. Marcel Nicola & Claudiu-Ionel Nicola & Dan Selișteanu, 2022. "Improvement of PMSM Sensorless Control Based on Synergetic and Sliding Mode Controllers Using a Reinforcement Learning Deep Deterministic Policy Gradient Agent," Energies, MDPI, vol. 15(6), pages 1-30, March.
    2. Marcel Nicola & Claudiu-Ionel Nicola & Dan Selișteanu, 2022. "Improvement of the Control of a Grid Connected Photovoltaic System Based on Synergetic and Sliding Mode Controllers Using a Reinforcement Learning Deep Deterministic Policy Gradient Agent," Energies, MDPI, vol. 15(7), pages 1-32, March.
    3. Adolfo Dannier & Gianluca Brando & Marino Coppola, 2022. "Special Issue on Power Converter of Electric Machines, Renewable Energy Systems, and Transportation," Energies, MDPI, vol. 15(3), pages 1-3, January.
    4. Yashar Mousavi & Geraint Bevan & Ibrahim Beklan Küçükdemiral & Afef Fekih, 2021. "Maximum Power Extraction from Wind Turbines Using a Fault-Tolerant Fractional-Order Nonsingular Terminal Sliding Mode Controller," Energies, MDPI, vol. 14(18), pages 1-16, September.

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