Skip to main content
Log in

Automatic Voltage Regulation of Grid Connected Photovoltaic System Using Lyapunov Based Sliding Mode Controller: A Finite — Time Approach

  • Regular Papers
  • Control Theory and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

Importance of PV based energy systems cannot be denied with quickly increase in renewable energy demand. Due to inherent uncertainties and non-linear behaviour of grid tied PV system, conventional control strategies are unable to provide satisfactory performance. Therefore, key purpose of this paper is to design non linear controller for the control of grid tied PV system. A novel control strategy is devised by utilizing Lyapunov base finite time non-linear reactive power and dc link voltage control. This strategy employes Lyapunov approach to ensure stability and guarantees robustness. With this control strategy, better and superior performance is observed in comparison to proportional integral controller. Furthermore, simulation results are provided to illustrate the effectiveness of proposed algorithm. Various disturbances of system such as change in solar insolation level, change in reference parameters, faults on buses are considered. With this control strategy, settling time and oscillations are found significantly less than PI controller.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. Yahyaoui, M. Chaabene, and F. Tadeo, “Evaluation of maximum power point tracking algorithm for off-grid photovoltaic pumping,” Sustainable Cities and Society, vol. 25, pp. 65–73, 2016.

    Article  Google Scholar 

  2. M. Júnior, C. Fabrício, A. F. C. Waenga, and D. A. F. Pinto, “Effects of the photovoltaic distributed generation on electricity distribution system voltage-updated review,” Brazilian Archives of Biology and Technology, vol. 61, no. SPE 2018.

    Google Scholar 

  3. A. Hussain, S. M. Arif, and M. Aslam, “Emerging renewable and sustainable energy technologies: state of the art,” Renewable and Sustainable Energy Reviews, vol. 71, pp. 12–28, 2017.

    Article  Google Scholar 

  4. A. Evans, V. Strezov, and T. J. Evans, “Assessment of sustainability indicators for renewable energy technologies,” Renewable and Sustainable Energy Reviews, vol. 13, no. 5, pp. 1082–1088, 2009.

    Article  Google Scholar 

  5. W. Tareen, Z. Anjum, N. Yasin, L. Siddiqui, I. Farhat, S. Malik, S. Mekhilef, M. Seyedmahmoudian, B. Horan, M. Darwidh, M. Aamir, and L. W. Chek, “The prospective non-conventional alternate and renewable energy sources in Pakistan-a focus on biomass energy for power generation, transportation, and industrial fuel,” Energies, vol. 11, no. 9, pp. 2431, 2018.

    Article  Google Scholar 

  6. L. Yi, H. Peng, G. Wang, X. Luo, J. Liu, S. Wang, and Z. Yao, “Research of MPPT for solar PV generation system based on independent voltage controller,” Electrical, Information Engineering and Mechatronics, vol. 135, pp. 2091–2099, 2011.

    Google Scholar 

  7. M. Hanan, X. Ai, M. Y. Javed, M. M. Gulzar, and S. Ahmad, “A two-stage algorithm to harvest maximum power from photovoltaic system.,” Proc. of the 2nd IEEE Conference on Energy Internet and Energy System Integration (EI2), pp. 1–6, 2018.

  8. F. Blaabjerg, R. Teodorescu, M. Liserre, and A. V. Timbus, “Overview of control and grid synchronization for distributed power generation systems,” IEEE Transactions on Industrial Electronics, vol. 53, no. 5, pp. 1398–1409, 2006.

    Article  Google Scholar 

  9. J. M. Carrasco, L. G. Franquelo, J. T. Bialasiewicz, E. Galván, R. C. P. Guisado, M. A. M. Prats, J. I. Leon, and 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, 2006.

    Article  Google Scholar 

  10. J. Eloy-Garcia, S. Arnaltes, and J. L. Rodriguez-Amenedo, “Direct power control of voltage source inverters with unbalanced grid voltages,” IET Power Electronics, vol. 1, no. 3, pp. 395–407, 2008.

    Article  Google Scholar 

  11. Z. Chelli, A. Lakehal, T. Khoualdia, and Y. Djeghader, “Study on shunt active power filter control strategies of three-phase grid-connected photovoltaic systems,” Periodica Polytechnica Electrical Engineering and Computer Science, vol. 63, no. 3, pp. 213–226, 2019.

    Article  Google Scholar 

  12. M. N. I. Sarkar, L. G. Meegahapola, and M. Datta, “Reactive power management in renewable rich power grids: A review of grid-codes, renewable generators, support devices, control strategies and optimization algorithms,” IEEE Access, vol. 6, pp. 41458–41489, 2018.

    Article  Google Scholar 

  13. F. Delfino, G. B. Denegri, M. Invernizzi, and R. Procopio, “Feedback linearisation oriented approach to Q-V control of grid connected photovoltaic units,” IET Renewable Power Generation, vol. 6, no. 5, pp. 324–339, 2012.

    Article  Google Scholar 

  14. A. Naderipour, Z. Abdul-Malek, V. K. Ramachandaramurthy, A. Kalam, and M. R. Miveh, “Hierarchical control strategy for a three-phase 4-wire microgrid under unbalanced and nonlinear load conditions,” ISA Transactions, 2019. DOI: https://doi.org/10.1016/j.isatra.2019.04.025

    Article  Google Scholar 

  15. X. Song, Y. Wang, W. Hu, and Z. Wang, “Three reference frame control scheme of 4 wire grid-connected inverter for micro grid under unbalanced grid voltage conditions,” Proc. of Twenty-Fourth Annual IEEE Applied Power Electronics Conference and Exposition, pp. 1301–1305, 2009.

  16. Q. Zeng and L. Chang, “An advanced SVPWM-based predictive current controller for three-phase inverters in distributed generation systems,” IEEE Transactions on Industrial Electronics, vol. 55 no. 3, pp. 1235–1246, 2008.

    Article  Google Scholar 

  17. A. Ahmad, N. Ullah, N. Ahmed, A. Ibeas, G. Mehdi, J. Herrera, and A. Ali, “Robust control of grid-tied parallel inverters using nonlinear backstepping approach,” IEEE Access, vol. 7, pp. 111982–111992, 2018.

    Article  Google Scholar 

  18. J. Hu, L. Shang, Y. He, and Z. Q. Zhu, “Direct active and reactive power regulation of grid-connected DC/AC converters using sliding mode control approach,” IEEE Transactions on Power Electronics, vol. 26, no. 1, pp. 210–222, 2010.

    Article  Google Scholar 

  19. S. Mobayen and F. Tchier, “A novel robust adaptive second-order sliding mode tracking control technique for uncertain dynamical systems with matched and unmatched disturbances,” International Journal of Control, Automation and Systems, vol. 15, no. 3, pp. 1097–1106, 2017.

    Article  Google Scholar 

  20. I.-S. Kim, “Robust maximum power point tracker using sliding mode controller for the three-phase grid-connected photovoltaic system,” Solar Energy, vol. 81, no. 3, pp. 405–414, 2007.

    Article  Google Scholar 

  21. R. Yang and L. Sun, “Finite-time robust control of a class of nonlinear time-delay systems via Lyapunov functional method,” Journal of the Franklin Institute, vol. 356, no. 3, pp. 1155–1176, Feb. 2019.

    Article  MathSciNet  Google Scholar 

  22. K. Zhang, B. Jiang, X.-G. Yan, and Z. Mao, “Incipient voltage sensor fault isolation for rectifier in railway electrical traction systems,” IEEE Transactions on Industrial Electronics, vol. 64, no. 8, pp. 6763–6774, 2017.

    Article  Google Scholar 

  23. A. Laudani, F. R. Fulginei, F. De Castro, and A. Salvini, “Irradiance intensity dependence of the lumped parameters of the three-diodes model for organic solar cells,” Solar Energy, vol. 163, pp. 526–536, 2018.

    Article  Google Scholar 

  24. R. P. Smith, A. A.-C. Hwang, T. Beetz, and E. Helgren, “Introduction to semiconductor processing: fabrication and characterization of pn junction silicon solar cells,” American Journal of Physics, vol. 86, no. 10, pp. 740–746, 2018.

    Article  Google Scholar 

  25. A. Y. Mohammed, F. I. Mohammed, and M. Y. Ibrahim, “Grid connected photovoltaic system,” Proc. of International Conference on Communication, Control, Computing and Electronics Engineering (ICCCCEE), pp. 1–5, 2017.

  26. A. Peled and J. Appelbaum, “Enhancing the power output of PV modules by considering the view factor to sky effect and rearranging the interconnections of solar cells,” Progress in Photovoltaics: Research and Applications, vol. 25, no. 9, pp. 810–818, 2017.

    Article  Google Scholar 

  27. A. M. Humada, M. Hojabri, S. Mekhilef, and H. M. Hamada, “Solar cell parameters extraction based on single and double-diode models: A review,” Renewable and Sustainable Energy Reviews, vol. 56, pp. 494–509, 2016.

    Article  Google Scholar 

  28. M. Y. Javed, A. F. Murtaza, Q. Ling, S. Qamar, and M. M. Gulzar, “A novel MPPT design using generalized pattern search for partial shading,” Energy and Buildings, vol. 133, pp. 59–69, 2016.

    Article  Google Scholar 

  29. S. Dhar, R. Sridhar, and G. Mathew, “Implementation of PV cell based standalone solar power system employing incremental conductance MPPT algorithm,” Proc. of International Conference on Circuits, Power and Computing Technologies (ICCPCT), pp. 356–361, 2013.

  30. B. H. Khan, Non-conventional Energy Resources, Tata McGraw-Hill Education, 2006.

  31. D. Thomas, O. Deblecker, and C. S. Ioakimidis, “Optimal operation of an energy management system for a grid-connected smart building considering photovoltaics’ uncertainty and stochastic electric vehicles’ driving schedule,” Applied Energy, vol. 210, pp. 1188–1206, 2018.

    Article  Google Scholar 

  32. R. M. Nagarale and B. M. Patre, “Exponential function based fuzzy sliding mode control of uncertain nonlinear systems,” International Journal of Dynamics and Control, vol. 4, no. 1, pp. 67–75, 2016.

    Article  MathSciNet  Google Scholar 

  33. J. Wang, Y. Gao, J. Qiu, and C. K. Ahn, “Sliding mode control for non-linear systems by Takagi—Sugeno fuzzy model and delta operator approaches,” IET Control Theory & Applications, vol. 11, no. 8, pp. 1205–1213, 2016.

    Article  MathSciNet  Google Scholar 

  34. A. Levant, “Sliding order and sliding accuracy in sliding mode control,” International Journal of Control, vol. 58, no. 6, pp. 1247–1263, 1993.

    Article  MathSciNet  Google Scholar 

  35. A. Levant, “Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence,” IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1447–1451, 2001.

    Article  MathSciNet  Google Scholar 

  36. W.-C. Yu, G.-J. Wang, and C.-C. Chang, “Discrete sliding mode control with forgetting dynamic sliding surface,” Mechatronics, vol. 14, no. 7, pp. 737–755, 2004.

    Article  Google Scholar 

  37. Q. Hu, “Variable structure maneuvering control with time-varying sliding surface and active vibration damping of flexible spacecraft with input saturation,” Acta Astronautica, vol. 64, pp. 11–12, 2009.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mingyang Xie.

Additional information

Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Dan Zhang under the direction of Editor Hamid Reza Karimi. This work was supported by a grant from the State Administration of Foreign Experts Affairs (DL20180096, G20190010180), the Natural Science Foundation of Jiangsu Science and Technology Department (BK20180427), the Aviation Science Funds (2018ZD52050), the Fundamental Research Funds for the Central Universities (NS2019021).

Mingyang Xie received his Ph.D. degree in Robotics an Control both from City University of Hong Kong, and University of Science and Technology of China in 2016. His research interests include robot control, micro/nano robot, and advanced control theory. He is an Assistant Professor now in Nanjing University of Aeronautics and Astronautics, and he is senior member of IEEE.

Muhammad Majid Gulzar is currently an assistant professor in Faculty of Engineering, University of Central Punjab, Pakistan. He received his Ph.D. degree with specialization in Control Science and Engineering from University of Science and Technology of China (USTC) in 2016. He received his M.S degree in Electrical Engineering from University of Engineering and Technology (UET), Pakistan in 2012. He is a member of Pakistan Engineering Council (PEC) and IEEEP (P). His areas of interest are Optimization Techniques, Multi-agent Networks, Analysis and Design of Linear Systems, Design of Renewable Energy Systems, Maximum Power Point Trackers for PV systems, Economic Energy Dispatch etc. He has advised number of projects in these areas and has number of publications in international leading journals and conferences.

Huma Tehreem is a student of Muhammad Majid Gulzar in Faculty of Electrical Engineering at University of Central Punjab, Lahore, Pakistan. She is a member of Pakistan Engineering Council (PEC). Her areas of interest are Renewable Energy Systems.

Muhammad Yaqoob Javed received his Ph.D. degree from the University of Science and Technology of China (USTC), Anhui, China, his M.Sc. degree from the University of Engineering and Technology (UET), Lahore, Pakistan, and the B.Sc. degree from the University of Central Punjab (UCP), Lahore, Pakistan. He is currently working as an Assistant Professor at the Department of Electrical and Computer Engineering, COMSATS University Islamabad (CUI), Lahore, Pakistan. Before COMSATS he served the University of Central Punjab, from 2008 to 2018 as an Assistant Professor. He is a supervisor of a research group ‘Efficient Electrical Energy Systems’ at CUI Lahore. He has authored/coauthored several research articles in leading journals and conferences of his field. His research interests include the design of renewable energy systems, standalone solar photovoltaic (PV) systems, maximum power point trackers for PV systems, partial shading effects in PV systems, economic energy dispatch, Microgrid, and smart grid systems.

Syed Tahir Hussain Rizvi received his Ph.D. degree in computer and control engineering from Politecnico di Torino, Torino, Italy, in 2018. He is currently an Assistant Professor of computer engineering at The University of Lahore, Lahore, Pakistan. His research interests include the efficient realization of algorithms on embedded systems and machine learning.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xie, M., Gulzar, M.M., Tehreem, H. et al. Automatic Voltage Regulation of Grid Connected Photovoltaic System Using Lyapunov Based Sliding Mode Controller: A Finite — Time Approach. Int. J. Control Autom. Syst. 18, 1550–1560 (2020). https://doi.org/10.1007/s12555-019-0563-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-019-0563-x

Keywords

Navigation