Skip to main content

Advertisement

Log in

Fractional-order model reference adaptive control of a multi-source renewable energy system with coupled DC/DC converters power compensation

  • Original Paper
  • Published:
Energy Systems Aims and scope Submit manuscript

Abstract

We propose a supervision strategy based on a fractional order model reference adaptive control (FO-MRAC) design for the control of electrical energy transfers in a multi-source renewable energy system. We consider a two sources system (photo-voltaic and lead-acid battery bank) with a specific zero voltage switch full-bridge isolated buck DC/DC power converter and the load which is supposed to be resistive. The global energy system involving coupled DC/DC converters on a DC bus is accurately modelized in the state space domain. Then, a fractional order MRAC control law is designed in order to stabilize the system’s current and voltage. We show by means of numerical simulation tests that the proposed FO-MRAC control is very efficient and robust even in presence of renewable sources fluctuations and load variations.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27
Fig. 28
Fig. 29
Fig. 30
Fig. 31
Fig. 32
Fig. 33
Fig. 34
Fig. 35
Fig. 36
Fig. 37
Fig. 38
Fig. 39
Fig. 40
Fig. 41

Similar content being viewed by others

References

  1. Ghoudelbourk, S., Dib, D., Omeiri, A.: Decoupled control of active and reactive power of a wind turbine based on DFIG and matrix converter. Energy Syst. (2015). https://doi.org/10.1007/s12667-015-0177-1

  2. Kasaei, M.J., Gandomkar, M., Nikoukar, J.: Optimal management of renewable energy sources by virtual power plant. Renew. Energy. (2017). https://doi.org/10.1016/j.renene.2017.08.010

  3. Pereira, A.L.: Modular Supervisory Controller for Hybrid Power Systems. Risø National Laboratory, Roskilde (2000)

    Google Scholar 

  4. Roy, S.: Uncertainty of optimal generation cost due to integration of renewable energy sources. Energy Syst. (2015). https://doi.org/10.1007/s12667-015-0162-8

  5. Castro R. de, Trovão, J.P., Pacheco, P., Melo, P., Pereirinha, P.G., Araújo, R.E.: DC Link Control for Multiple Energy Sources in Electric Vehicles. In: Proceedings of the 2011 IEEE Vehicle Power and Propulsion Conference (VPPC), 6–9 Sept., pp. 1–6. Chicago, IL, USA (2011)

  6. Banshwar, A., Sharma, N.K., Sood, Y.R., Shrivastava, R.: Real time procurement of energy and operating reserve from Renewable Energy Sources in deregulated environment considering imbalance penalties. Renew. Energy 113, 855–866 (2017)

    Article  Google Scholar 

  7. Belabbas, B., Allaoui, T., Tadjine, M., Denai, M.: Power management and control strategies for off-grid hybrid power systems with renewable energies and storage. Energy Syst. (2017). https://doi.org/10.1007/s12667-017-0251-y

  8. Roncero-Sanchez, P., Feliu-Batlle, V., García-Cerrada, A.: Design and comparison of state-feedback and predictive-integral current controllers for active- and reactive-power control in renewable energy systems. Control Eng. Pract. 17, 255–266 (2009)

    Article  Google Scholar 

  9. Valenciaga, F., Puleston, P.F.: Supervisor control for a stand-alone hybrid generation system using wind and photovoltaic energy. IEEE Trans. Energy Convers. 20(2), 398–405 (2005)

    Article  Google Scholar 

  10. Pasamontes, M., Alvarez, J.D., Guzma, J.L., Lemos, J.M., Berenguel, M.: A switching control strategy applied to a solar collector field. Control Eng. Pract. 19(2), 135–145 (2011)

    Article  Google Scholar 

  11. Guérin, F., Lefebvre, D., Loisel, V.: Supervisory control design for systems of multiple sources of energy. Control Eng. Pract. 20(12), 1310–1324 (2012)

    Article  Google Scholar 

  12. Olalla, C., Queinnec, I., Leyva, R., ElAroudi, A.: Robust optimal control of bilinear DC–DC converters. Control Eng. Pract. 19, 688–699 (2011)

    Article  Google Scholar 

  13. Trovão, J.P., Pereirinha, P.G., Jorge, H.M., Antunes, C.H.: A multi-level energy management system for multi-source electric vehicles—an integrated rule-based meta-heuristic approach. Appl. Energy 105, 304–318 (2013)

    Article  Google Scholar 

  14. Naderi, P., Fallahi, F.: A novel structure proposal for distributed generation using SMES and PV system with relative controllers design. Energy Syst. 6, 153–172 (2015)

    Article  Google Scholar 

  15. Naamane, A., Msirdi, N.: Improving multiple source power management using state flow approach. In: Hakansson, A., Höjer, M., Howlett, R., Jain, L. (eds.) Sustainability in Energy and Buildings. Smart Innovation, Systems and Technologies, vol. 22, pp. 779–785. Springer, Berlin, Heidelberg (2013)

    Chapter  Google Scholar 

  16. Vinagre, B.M., Petras, I., Podlubny, I., Chen, Y.Q.: Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Nonlinear Dyn. 29(1–4), 269–279 (2002)

    Article  MathSciNet  Google Scholar 

  17. Ladaci, S., Charef, A.: Fractional order model reference adaptive control of a robot arm (in French), Revue Communication Sciences and Technologie, vol. 1, pp. 20–52. ENP Oran, Algeria (2002)

    Google Scholar 

  18. Ladaci, S., Charef, A.: On fractional adaptive control. Nonlinear Dyn. 43(4), 365–378 (2006)

    Article  MathSciNet  Google Scholar 

  19. Ladaci, S., Charef, A.: Fractional order adaptive control systems: a survey. In: Mitchell, E.W., Murray, S.R. (eds.) Classification and Application of Fractals, pp. 261–275. Nova Science Publishers, USA (2012)

    Google Scholar 

  20. Aguila-Camacho, N., Duarte-Mermoud, M.A.: Improving the control energy in model reference adaptive controllers using fractional adaptive laws. IEEE/CAA J. Autom. Sin. 3(3), 332–337 (2016)

    Article  MathSciNet  Google Scholar 

  21. Aguila-Camacho, N., Duarte-Mermoud, M.A.: Combined fractional adaptive control. In: IFAC-PapersOnLine, 20th IFAC World Congress, Vol. 50(1), pp. 8586–8591 (2017)

  22. Abedini, M., Nojoumian, M.A., Salarieh, H., Meghdari, A.: Model reference adaptive control in fractional order systems using discrete-time approximation methods. Commun. Nonlinear Sci. Numer. Simulat. 25, 27–40 (2015)

    Article  MathSciNet  Google Scholar 

  23. Chen, Y., Cheng, S., Wei, Y., Wang, Y.: Indirect model reference adaptive control for a class of linear fractional order systems. In: 2016 American Control Conference (ACC), Boston, MA, USA, pp. 2753–2758, July 6–8 (2016)

  24. Sawai, K., Takamatsu, T., Ohmori, H.: Adaptive Control Law using Fractional Calculus Systems. In: SICE Annual Conference 2012, Akita University, Akita, Japan, pp. 1502–1505, August 20–23 (2012)

  25. Takamatsu, T., Ohmori, H.: Design of adaptive systems by using fractional calculus system’s approach. In Proceedings of the 32nd Chinese Control Conference, Xi’an, China, pp. 3095–3099, July 26–28 (2013)

  26. Bensafia, Y., Ladaci, S.: Adaptive control with fractional order reference model (selected paper). Int. J. Sci. Tech. Autom. Control Comput. Eng. 5, 1614–1623 (2011)

    Google Scholar 

  27. Wei, Y., Sun, Z., Hua, Y., Wang, Y.: On fractional order composite model reference adaptive control. Int. J. Syst. Sci. 47(11), 2521–2531 (2016)

    Article  MathSciNet  Google Scholar 

  28. YaLi, H., RuiKun, G.: Application of fractional-order model reference adaptive control on industry boiler burning system. In: 2010 Int. Conf. on Intelligent Computation Technology and Automation, Changsha, China, pp. 750–753, 11–12 May (2010)

  29. Aguila-Camacho, N., Duarte-Mermoud, M.A.: Fractional adaptive control for an automatic voltage regulator. ISA Trans. 52, 807–815 (2013)

    Article  Google Scholar 

  30. Bensafia, Y., Ladaci, S., Khettab, K., Chemori, A.: Fractional order model reference adaptive control for SCARA robot trajectory tracking. Int. J. Ind. Syst. Eng. 30(2), 138–156 (2018)

    Google Scholar 

  31. Suárez, J.I., Vinagre, B.M., Chen, Y-Q.: A fractional adaptation scheme for lateral control of an AGV. In: Proceedings of the 2nd IFAC Workshop on Fractional Differentiation and its Applications, Porto, Portugal, July 19–21, IFAC Proceedings Volumes, Vol. 39(11), pp. 149–154 (2006)

  32. Sethi, D., Kumar, J., Khanna, R.: Design of fractional order MRAPIDC for inverted pendulum system. Indian J. Sci. Technol. 10(31), 1–5 (2017)

    Article  Google Scholar 

  33. Ma, J., Yao, Y., Liu, D.: Fractional order model reference adaptive control for a hydraulic driven flight motion simulator. In: 41st Southeastern Symposium on System Theory University of Tennessee Space Institute Tullahoma, TN, USA, pp. 340–343, March 15–17 (2009)

  34. Navarro-Guerrero, G., Tang, Y.: Fractional order model reference adaptive control for anesthesia. Int J Adapt Control Signal Process. (2017). https://doi.org/10.1002/acs.2769

  35. Kavuran, G., Alagoz, B.B., Ates, A., Yeroglu, C.: Implementation of model reference adaptive controller with fractional order adjustment rules for coaxial rotor control test system. Balkan J. Electr. Comput. Eng. 4(2), 84–88 (2016)

    Google Scholar 

  36. Tabatabaei, M.: Design of a fractional order adaptive controller for velocity control of a permanent magnet synchronous motor. COMPEL Int. J. Comput. Math. Electr. Electron. Eng. 34(4), 1191–1212 (2015)

    Article  Google Scholar 

  37. Wang, H., Zeng, G., Dai, Y., Bi, D., Sun, J., Xie, X.: Design of a fractional order frequency PID controller for an islanded microgrid: a multi-objective extremal optimization method. Energies 10(1502), 1–18 (2017)

    Google Scholar 

  38. Nosrati, K., Mansouri, H.R., Saboori, H.: Fractional-order PID controller design of frequency deviation in a hybrid renewable energy generation and storage system. In: Proceedings of the 24th International Conference and Exhibition on Electricity Distribution (CIRED), pp. 1148–1152, 12–15 June (2017)

  39. Melício, R., Mendes, V.M.F., Catalão, J.P.S.: Fractional-order control and simulation of wind energy systems with PMSG/full-power converter topology. Energy Convers. Manag. 51, 1250–1258 (2010)

    Article  Google Scholar 

  40. Ottoboni, K.A., Gonçalves, A.F.Q., Fuzato, G.H.F., Machado, R.Q.: Fractional order controller PI\(\lambda \) designed via heuristic optimization algorithm Lévy-Flight Firefly for connection of renewable energy sources to the grid. In: Proceedings of the 2015 IEEE 13th Brazilian Power Electronics Conference and 1st Southern Power Electronics Conference (COBEP/SPEC), Fortaleza, Brazil, 29 Nov.–2 Dec. (2015)

  41. Afghoul, H., Chikouche, D., Krim, F., Babes, B., Beddar, B.: Implementation of fractional-order integral-plus-proportional controller to enhance the power quality of an electrical grid. Electric Power Compon. Syst. 44(9), 1018–1028 (2016)

    Article  Google Scholar 

  42. Pan, I., Das, S.: Fractional order fuzzy control of hybrid power system with renewable generation using chaotic PSO. ISA Trans. 62, 19–29 (2016)

    Article  Google Scholar 

  43. Pan, I., Das, S.: Fractional order AGC for distributed energy resources using robust optimization. IEEE Trans. Smart Grid. 7(5), 2175–2186 (2016)

    Article  Google Scholar 

  44. Neçaibia, A., Ladaci, S., Charef, A., Loiseau, J.J.: Fractional order extremum seeking approach for maximum power point tracking of photovoltaic panels. Front. Energy. 9(1), 43–53 (2015)

    Article  Google Scholar 

  45. Aghababa, M.P.: Fractional modeling and control of a complex nonlinear energy supply-demand system. Complexity. 20(6), 74–86 (2014)

    Article  MathSciNet  Google Scholar 

  46. Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)

    MATH  Google Scholar 

  47. Charef, A., Sun, H.H., Tsao, Y.Y., Onaral, B.: Fractal system as represented by singularity function. IEEE Trans. Autom. Control 37, 1465–1470 (1992)

    Article  MathSciNet  Google Scholar 

  48. Oustaloup, A.: La commande CRONE (in French). Hermès, Paris (1991)

    MATH  Google Scholar 

  49. Mboup, A.B., Guérin, F., Lefebvre, D., Ndiaye, P.A.: Control design for multisource systems based on DC/DC converters duty cycle value. Int. J. Comput. Math. Electr. Electron. Eng. 30(1), 310–335 (2011)

    Article  Google Scholar 

  50. Zerkaoui, S., Mboup, A.B., Lefebvre, D., Guérin, F., Bosche, J., El Hajjaji, A.: Sliding mode based control strategy for multi-sources renewable energy system. In: Proceedings of the IEEE Int. Conf. Electric Power Energy Conversion Systems, EPECS, Sharjah, UAE, pp. 1–6 (2009)

  51. Guérin, F., Lefebvre, D., Mboup, A.B., Parédé, J.Y., Lemains, E., Sarr Ndiaye, P.A.: Hybrid modeling for performance evaluation of multisource renewable energy systems. IEEE Trans. Autom. Sci. Eng. 8(3), 570–580 (2011)

    Article  Google Scholar 

  52. Ladaci, S., Loiseau, J.J., Charef, A., Using fractional order filter in adaptive control of noisy plants. In: Proceedings of the 3rd International Conference on Advances in Mechanical Engineering And Mechanics, ICAMEM’2006, 17–19 December, Tunisia (2006)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Samir Ladaci.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Djebbri, S., Ladaci, S., Metatla, A. et al. Fractional-order model reference adaptive control of a multi-source renewable energy system with coupled DC/DC converters power compensation. Energy Syst 11, 315–355 (2020). https://doi.org/10.1007/s12667-018-0317-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12667-018-0317-5

Keywords

Navigation