Skip to main content

Advertisement

Log in

Efficient control of integrated power system using self-tuned fractional-order fuzzy PID controller

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

The integrated power system (IPS) uses various autonomous generation and energy storage systems like aqua electrolyzer, battery, diesel engine, flywheel, fuel cell, solar photovoltaic, ultracapacitor, wind turbine, etc. These may be switched on/off and may run at higher/lower power outputs, at different times. Additionally, IPS is also subjected to parameter variations of its components and the load. As a result, the frequency of an IPS fluctuates from the nominal desired value and therefore it requires a robust controller to accomplish the above-mentioned task. In this work, a self-tuned fractional-order fuzzy PID (STFOFPID) controller, tuned using cuckoo search algorithm, is investigated for efficient control of IPS. STFOFPID is essentially a Takagi–Sugeno model-based fuzzy adaptive controller comprising of non-integer-order differ-integral operators. To assess the relative performance of STFOFPID controller, it is compared with its integer-order counterpart on the basis of their respective objective function value defined as the sum of integral of squared error and integral of squared deviation of controller output. Intensive LabVIEW-based simulation studies have indicated the robustness and hence superiority of STFOFPID controller over its integral counterpart.

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

Similar content being viewed by others

References

  1. Hvelplund F (2006) Renewable energy and the need for local energy markets. Energy 31(13):2293–2302

    Article  Google Scholar 

  2. Carrasco JM, Franquelo LG, Bialasiewicz JT, Galván E, PortilloGuisado RC, Prats MM, León JI, Moreno-Alfonso N (2006) Power-electronic systems for the grid integration of renewable energy sources: A survey. IEEE Trans Ind Electron 53(4):1002–1016

    Article  Google Scholar 

  3. Morais H, Kadar P, Faria P, Vale ZA, Khodr HM (2010) Optimal scheduling of a renewable micro-grid in an isolated load area using mixed-integer linear programming. Renew Energy 35(1):151–156

    Article  Google Scholar 

  4. Katiraei F, Iravani MR, Lehn PW (2005) Micro-grid autonomous operation during and subsequent to islanding process. IEEE Trans Power Deliv 20(1):248–257

    Article  Google Scholar 

  5. Khaligh A, Li Z (2010) Battery, ultracapacitor, fuel cell, and hybrid energy storage systems for electric, hybrid electric, fuel cell, and plug-in hybrid electric vehicles: state of the art. IEEE Trans Veh Technol 59(6):2806–2814

    Article  Google Scholar 

  6. Li Y, Vilathgamuwa DM, Loh PC (2004) Design, analysis, and real-time testing of a controller for multibus microgrid system. IEEE Trans Power Electron 19(5):1195–1204

    Article  Google Scholar 

  7. Illindala M, Venkataramanan U (2002) Control of distributed generation systems to mitigate load and line imbalances. In: Power electronics specialists conference. pesc 02. 2002 IEEE 33rd Annual (vol 4, pp 2013–2018)

  8. Ray PK, Mohanty SR, Kishor N (2011) Proportional–integral controller based small-signal analysis of hybrid distributed generation systems. Energy Convers Manag 52(4):1943–1954

    Article  Google Scholar 

  9. Rivera DE, Morari M, Skogestad S (1986) Internal model control: PID controller design. Ind Eng Chem Process Des Dev 25(1):252–265

    Article  Google Scholar 

  10. Åström KJ, Hägglund T (2006) Advanced PID controllers. 1st edn. ISA-The Instrumentation, Systems and Automation Society, Research Triangle Park, North Carolina, USA

    Google Scholar 

  11. Astrom KJ (1995) PID controllers: theory, design and tuning. Instrument society of America, Pittsburgh

    Google Scholar 

  12. Ang KH, Chong G, Li Y (2005) PID control system analysis, design, and technology. IEEE Trans Control Syst Technol 13(4):559–576

    Article  Google Scholar 

  13. Toscano R (2005) A simple robust PI/PID controller design via numerical optimization approach. J Process Control 15(1):81–88

    Article  MathSciNet  Google Scholar 

  14. Khan AA, Rapal N (2006) Fuzzy PID controller: design, tuning and comparison with conventional PID controller. In: IEEE international conference on engineering of intelligent systems 2006 (pp 1–6)

  15. Kumar V, Nakra BC, Mittal AP (2011) A review on classical and fuzzy pid controllers. Int J Intell Control Syst 16(3):170–181

    Google Scholar 

  16. Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  MATH  Google Scholar 

  17. Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—I. Inf Sci 8(3):199–249

    Article  MathSciNet  MATH  Google Scholar 

  18. Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—II. Inf Sci 8(4):301–357

    Article  MathSciNet  MATH  Google Scholar 

  19. Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-III. Inf Sci 9(1):43–80

    Article  MathSciNet  MATH  Google Scholar 

  20. Mamdani EH (1974) Application of fuzzy algorithms for control of simple dynamic plant. Proc IEE (Control Sci) 121(12):1585–1588

    Google Scholar 

  21. Mamdani EH, Assilian S (1975) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Man Mach Stud 7(1):1–13

    Article  MATH  Google Scholar 

  22. Mamdani EH (1976) Advances in the linguistic synthesis of fuzzy controllers. Int J Man Mach Stud 8(6):669–678

    Article  MATH  Google Scholar 

  23. Mamdani EH, Assilian S (1999) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Hum Comput Stud 51(2):135–147

    Article  MATH  Google Scholar 

  24. Holmblad LP, Ostergaard JJ (1982) Control of a cement kiln by fuzzy logic. In: Gupta MM, Sanchez E (eds) Fuzzy information and decision processes. Elsevier, North-Holland, pp 389–399

    Google Scholar 

  25. Kickert WJ, Mamdani EH (1978) Analysis of a fuzzy logic controller. Fuzzy Sets Syst 1(1):29–44

    Article  MATH  Google Scholar 

  26. Lee CC (1990) Fuzzy logic in control systems: fuzzy logic controller. I. IEEE Trans Syst Man Cybern 20(2):404–418

    Article  MathSciNet  MATH  Google Scholar 

  27. Lee CC (1990) Fuzzy logic in control systems: fuzzy logic controller. II. IEEE Trans Syst Man Cybern 20(2):419–435

    Article  MathSciNet  MATH  Google Scholar 

  28. Maeda M, Murakami S (1988) A design for a fuzzy logic controller. Inf Sci 45(2):315–330

    Article  MathSciNet  MATH  Google Scholar 

  29. Maeda M, Murakami S (1992) A self-tuning fuzzy controller. Fuzzy Sets Syst 51(1):29–40

    Article  Google Scholar 

  30. Wang LX (1993) Stable adaptive fuzzy control of nonlinear systems. IEEE Trans Fuzzy Syst 1(2):146–155

    Article  Google Scholar 

  31. Choi BJ, Kwak SW, Kim BK (1999) Design of a single-input fuzzy logic controller and its properties. Fuzzy Sets Syst 106(3):299–308

    Article  MathSciNet  MATH  Google Scholar 

  32. Zhu Q, Azar AT (eds) (2015) Complex system modelling and control through intelligent soft computations. Springer, Germany

    Google Scholar 

  33. Boulkroune A, Hamel S, Azar AT, Vaidyanathan S (2016) Fuzzy control-based function synchronization of unknown chaotic systems with dead-zone input. In: Vaidyanathan S, Azar AT (eds) Advances in chaos theory and intelligent control. Springer International Publishing, New York, pp 699–718

    Chapter  MATH  Google Scholar 

  34. Meghni B, Dib D, Azar AT (2017) A second-order sliding mode and fuzzy logic control to optimal energy management in wind turbine with battery storage. Neural Comput Appl 28(6):1417–1434

    Article  Google Scholar 

  35. Boulkroune A, Bouzeriba A, Bouden T, Azar AT (2016) Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems. In: Vaidyanathan S, Azar AT (eds) Advances in chaos theory and intelligent control. Springer International Publishing, New York, pp 681–697

    Chapter  Google Scholar 

  36. Azar AT, Vaidyanathan S, DeMarco A (eds) (2015) Handbook of research on advanced intelligent control engineering and automation. Engineering Science Reference

  37. Azar AT, Vaidyanathan S (eds) (2014) Computational intelligence applications in modeling and control, vol 575. Springer, New York

    Google Scholar 

  38. Sugeno M (1985) An introductory survey of fuzzy control. Inf Sci 36(1):59–83

    Article  MathSciNet  MATH  Google Scholar 

  39. Sharma R, Rana KPS, Kumar V (2014) Performance analysis of fractional order fuzzy PID controllers applied to a robotic manipulator. Expert Syst Appl 41(9):4274–4289

    Article  Google Scholar 

  40. Kumar V, Rana KPS, Kumar J, Mishra P, Nair SS (2017) A robust fractional order fuzzy P + fuzzy I + fuzzy D controller for nonlinear and uncertain system. Int J Autom Comput 14(4):474–488

    Article  Google Scholar 

  41. Kumar V, Rana KPS, Mishra P (2016) Robust speed control of hybrid electric vehicle using fractional order fuzzy PD and PI controllers in cascade control loop. J Franklin Inst 353(8):1713–1741

    Article  MathSciNet  MATH  Google Scholar 

  42. Ghoudelbourk S, Dib D, Omeiri A, Azar AT (2016) MPPT control in wind energy conversion systems and the application of fractional control (PIα) in pitch wind turbine. Int J Model Identif Control 26(2):140–151

    Article  Google Scholar 

  43. Azar AT, Vaidyanathan S, Ouannas A (eds) (2017) Fractional order control and synchronization of chaotic systems, vol 688. Springer, New York

    MATH  Google Scholar 

  44. Das DC, Roy AK, Sinha N (2012) GA based frequency controller for solar thermal–diesel–wind hybrid energy generation/energy storage system. Int J Electr Power Energy Syst 43(1):262–279

    Article  Google Scholar 

  45. Lee DJ, Wang L (2008) Small-signal stability analysis of an autonomous hybrid renewable energy power generation/energy storage system part I: time-domain simulations. IEEE Trans Energy Convers 23(1):311–320

    Article  Google Scholar 

  46. Raviraj VSC, Sen PC (1997) Comparative study of proportional-integral, sliding mode, and fuzzy logic controllers for power converters. IEEE Trans Ind Appl 33(2):518–524

    Article  Google Scholar 

  47. Aslam F, Kaur G (2011) Comparative analysis of conventional, P, PI, PID and fuzzy logic controllers for the efficient control of concentration in CSTR. Int J Comput Appl 17(6):12–16

    Google Scholar 

  48. Mishra P, Kumar V, Rana KPS (2015) A fractional order fuzzy PID controller for binary distillation column control. Expert Syst Appl 42(22):8533–8549

    Article  Google Scholar 

  49. Ding Y, Ying H, Shao S (1999) Structure and stability analysis of a Takagi–Sugeno fuzzy PI controller with application to tissue hyperthermia therapy. Soft Comput 2(4):183–190

    Article  Google Scholar 

  50. Yang XS, Deb S (2010) Engineering optimisation by cuckoo search. Int J Math Model Numer Optim 1(4):330–343

    MATH  Google Scholar 

  51. Yang XS, Deb S (2014) Cuckoo search: recent advances and applications. Neural Comput Appl 24(1):169–174

    Article  Google Scholar 

  52. Mishra P, Kumar V, Rana KPS, Nair SS, Kumar J (2016) Cuckoo search implementation in LabVIEW. In: International conference on computational techniques in information and communication technologies (ICCTICT), pp 331–336

  53. Yang XS, Deb S (2009) Cuckoo search via Lévy flights. In: World Congress on Nature & Biologically Inspired Computing, NaBIC, pp 210–214

  54. Rajabioun R (2011) Cuckoo optimization algorithm. Appl Soft Comput 11(8):5508–5518

    Article  Google Scholar 

  55. Civicioglu P, Besdok E (2013) A conceptual comparison of the Cuckoo-search, particle swarm optimization, differential evolution and artificial bee colony algorithms. Artif Intell Rev 39(4):315–346

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vineet Kumar.

Ethics declarations

Conflict of interest

The authors certify that they have NO affiliations with or involvement in any organization or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nithilasaravanan, K., Thakwani, N., Mishra, P. et al. Efficient control of integrated power system using self-tuned fractional-order fuzzy PID controller. Neural Comput & Applic 31, 4137–4155 (2019). https://doi.org/10.1007/s00521-017-3309-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-017-3309-9

Keywords

Navigation