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.
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References
Hvelplund F (2006) Renewable energy and the need for local energy markets. Energy 31(13):2293–2302
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
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
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
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
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
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)
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
Rivera DE, Morari M, Skogestad S (1986) Internal model control: PID controller design. Ind Eng Chem Process Des Dev 25(1):252–265
Åström KJ, Hägglund T (2006) Advanced PID controllers. 1st edn. ISA-The Instrumentation, Systems and Automation Society, Research Triangle Park, North Carolina, USA
Astrom KJ (1995) PID controllers: theory, design and tuning. Instrument society of America, Pittsburgh
Ang KH, Chong G, Li Y (2005) PID control system analysis, design, and technology. IEEE Trans Control Syst Technol 13(4):559–576
Toscano R (2005) A simple robust PI/PID controller design via numerical optimization approach. J Process Control 15(1):81–88
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)
Kumar V, Nakra BC, Mittal AP (2011) A review on classical and fuzzy pid controllers. Int J Intell Control Syst 16(3):170–181
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—I. Inf Sci 8(3):199–249
Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—II. Inf Sci 8(4):301–357
Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-III. Inf Sci 9(1):43–80
Mamdani EH (1974) Application of fuzzy algorithms for control of simple dynamic plant. Proc IEE (Control Sci) 121(12):1585–1588
Mamdani EH, Assilian S (1975) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Man Mach Stud 7(1):1–13
Mamdani EH (1976) Advances in the linguistic synthesis of fuzzy controllers. Int J Man Mach Stud 8(6):669–678
Mamdani EH, Assilian S (1999) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Hum Comput Stud 51(2):135–147
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
Kickert WJ, Mamdani EH (1978) Analysis of a fuzzy logic controller. Fuzzy Sets Syst 1(1):29–44
Lee CC (1990) Fuzzy logic in control systems: fuzzy logic controller. I. IEEE Trans Syst Man Cybern 20(2):404–418
Lee CC (1990) Fuzzy logic in control systems: fuzzy logic controller. II. IEEE Trans Syst Man Cybern 20(2):419–435
Maeda M, Murakami S (1988) A design for a fuzzy logic controller. Inf Sci 45(2):315–330
Maeda M, Murakami S (1992) A self-tuning fuzzy controller. Fuzzy Sets Syst 51(1):29–40
Wang LX (1993) Stable adaptive fuzzy control of nonlinear systems. IEEE Trans Fuzzy Syst 1(2):146–155
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
Zhu Q, Azar AT (eds) (2015) Complex system modelling and control through intelligent soft computations. Springer, Germany
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
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
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
Azar AT, Vaidyanathan S, DeMarco A (eds) (2015) Handbook of research on advanced intelligent control engineering and automation. Engineering Science Reference
Azar AT, Vaidyanathan S (eds) (2014) Computational intelligence applications in modeling and control, vol 575. Springer, New York
Sugeno M (1985) An introductory survey of fuzzy control. Inf Sci 36(1):59–83
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
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
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
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
Azar AT, Vaidyanathan S, Ouannas A (eds) (2017) Fractional order control and synchronization of chaotic systems, vol 688. Springer, New York
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
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
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
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
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
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
Yang XS, Deb S (2010) Engineering optimisation by cuckoo search. Int J Math Model Numer Optim 1(4):330–343
Yang XS, Deb S (2014) Cuckoo search: recent advances and applications. Neural Comput Appl 24(1):169–174
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
Yang XS, Deb S (2009) Cuckoo search via Lévy flights. In: World Congress on Nature & Biologically Inspired Computing, NaBIC, pp 210–214
Rajabioun R (2011) Cuckoo optimization algorithm. Appl Soft Comput 11(8):5508–5518
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
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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
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DOI: https://doi.org/10.1007/s00521-017-3309-9