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Robust decentralised load frequency control for interconnected time delay power systems using sliding mode techniques. (English) Zbl 07907075

Summary: Based on a sliding mode control, a multi-area decentralised load frequency control power system with time-varying delays and non-linear perturbations is designed in this study. Due to the destabilising effect of delay on the global system, it is necessary to design a control system to accommodate vast time delays so as to manage the deviation in frequency and interchange power. By taking advantage of the system structure and disturbance bounds, robustness is improved. A sliding surface is designed, and the stability of the corresponding sliding motion is analysed based on Lyapunov-Razumikhin function. A delay dependent decentralised sliding mode control is synthesised to drive the system to the sliding surface and maintain a sliding motion afterwards. The obtained results are applied to a two-area interconnected power system to demonstrate the effectiveness of the proposed method.
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology

MSC:

93B35 Sensitivity (robustness)
93A14 Decentralized systems
93C80 Frequency-response methods in control theory
93B12 Variable structure systems
93B70 Networked control
93C43 Delay control/observation systems
Full Text: DOI

References:

[1] LiuX.KongX., and LeeK.Y.: ‘Distributed model predictive control for load frequency control with dynamic fuzzy valve position modelling for hydro-thermal power system’, IET Control Theory Appl., 2016, 10, (14), pp. 1653-1664
[2] OjaghiP., and RahmaniM.: ‘Lmi‐based robust predictive load frequency control for power systems with communication delays’, IEEE Trans. Power Syst., 2017, 32, (5), pp. 4091-4100
[3] PrasadS.PurwarS., and KishorN.: ‘H‐infinity based non‐linear sliding mode controller for frequency regulation in interconnected power systems with constant and time‐varying delays’, IET. Gener. Transm. Distrib., 2016, 10, (11), pp. 2771-2784
[4] SuX.LiuX., and SongY.‐D.: ‘Fault‐tolerant control of multi‐area power systems via sliding mode observer technique’, IEEE/ASME Trans. Mechatronics, 2017, 23, (1), pp. 38-47
[5] MiY.HaoX., and LiuY.et al.: ‘Sliding mode load frequency control for multi‐area time‐delay power system with wind power integration’, IET. Gener. Transm. Distrib., 2017, 11, (18), pp. 4644-4653
[6] BevraniH.: ‘‘Robust power system frequency control’, vol. 85 (Springer, Boston, MA, USA, 2009) · Zbl 1163.93002
[7] HsuK.C.: ‘Decentralized variable‐structure control design for uncertain large‐scale systems with series nonlinearities’, Int. J. Control, 1997, 68, (6), pp. 1231-1240 · Zbl 0887.93004
[8] CucuzzellaM.IncremonaG.P., and FerraraA.: ‘Decentralized sliding mode control of islanded ac microgrids with arbitrary topology’, IEEE Trans. Ind. Electron., 2017, 64, (8), pp. 6706-6713
[9] YanX.G.SpurgeonS.K., and EdwardsC.: ‘Global decentralised static output feedback slidingmode control for interconnected time‐delay systems’, IET Control Theory Appl., 2012, 6, (2), pp. 192-202
[10] LiS.AhnC.K., and XiangZ.: ‘Decentralized stabilization for switched large‐scale nonlinear systems via sampled‐data output feedback’, IEEE Syst. J., 2019, pp. 1-9, DOI: 10.1109/JSYST.2019.2903297
[11] OnyekaA.E.YanX.G., and MaoZ.et al.: ‘Decentralized sliding mode lfc for nonlinear interconnected power system with time delay’. 2018 Annual American Control Conf. (ACC), Milwaukee, USA, 2018, pp. 6666-6671
[12] SinghV.P.KishorN., and SamuelP.: ‘Load frequency control with communication topology changes in smart grid’, IEEE Trans. Ind. Inf., 2016, 12, (5), pp. 1943-1952
[13] ZhangC.K.JiangL., and WuQ.et al.: ‘Further results on delay‐dependent stability of multi‐area load frequency control’, IEEE Trans. Power Syst., 2013, 28, (4), pp. 4465-4474
[14] MilanoF., and AnghelM.: ‘Impact of time delays on power system stability’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2011, 59, (4), pp. 889-900 · Zbl 1468.93147
[15] FridmanE.: ‘Tutorial on Lyapunov‐based methods for time‐delay systems’, Eur. J. Control, 2014, 20, (6), pp. 271-283 · Zbl 1403.93158
[16] OnyekaA.E.YanX.G., and MaoZ.et al.: ‘Stabilisation of time delay systems with nonlinear disturbances using sliding mode control’, Int. J. Model. Identif. Control, 2019, 31, (3), pp. 259-267
[17] YanX.G.SpurgeonS.K., and EdwardsC.: ‘Memoryless static output feedback sliding mode control for nonlinear systems with delayed disturbances’, IEEE Trans. Autom. Control, 2014, 59, (7), pp. 1906-1912 · Zbl 1360.93165
[18] ZhangC.K.HeY., and JiangL.et al.: ‘An extended reciprocally convex matrix inequality for stability analysis of systems with time‐varying delay’, Automatica, 2017, 85, pp. 481-485 · Zbl 1375.93094
[19] SeuretA.LiuK., and GouaisbautF.: ‘Generalized reciprocally convex combination lemmas and its application to time‐delay systems’, Automatica, 2018, 95, pp. 488-493 · Zbl 1402.93193
[20] JiangL.YaoW., and WuQ.et al.: ‘Delay‐dependent stability for load frequency control with constant and time‐varying delays’, IEEE Trans. Power Syst., 2012, 27, (2), pp. 932-941
[21] SönmezS., and AyasunS.: ‘Stability region in the parameter space of pi controller for a single‐area load frequency control system with time delay’, IEEE Trans. Power Syst., 2016, 31, (1), pp. 829-830
[22] LiS.GuoJ., and XiangZ.: ‘Global stabilization of a class of switched nonlinear systems under sampled‐data control’, IEEE Trans. Syst. Man Cybern., Syst., 2019, 49, (9), pp. 1912-1919
[23] MohamedT.H.MorelJ., and BevraniH.et al.: ‘Decentralized model predictive‐based load‐frequency control in an interconnected power system concerning wind turbines’, IEEJ Trans. Electr. Electron. Eng., 2012, 7, (5), pp. 487-494
[24] RubioJ.J.: ‘Robust feedback linearization for nonlinear processes control’, ISA Trans., 2018, 74, pp. 155-164
[25] RubioJ.J.PieperJ., and Meda‐CampañaJ.A.et al.: ‘Modelling and regulation of two mechanical systems’, IET Sci. Meas. Technol., 2018, 12, (5), pp. 657-665
[26] GaliasZ., and YuX.: ‘Analysis of delayed sliding mode control systems under zero‐order holder discretization’, IEEE Trans. Autom. Control, 2016, 61, (9), pp. 2739-2744 · Zbl 1359.93089
[27] QiW.ParkJ.H., and ChengJ.et al.: ‘Robust stabilisation for non‐linear time‐delay semi‐markovian jump systems via sliding mode control’, IET Control Theory Appl., 2017, 11, (10), pp. 1504-1513
[28] SunY.QiangH., and MeiX.et al.: ‘Modified repetitive learning control with unidirectional control input for uncertain nonlinear systems’, Neural Comput. Appl., 2018, 30, (6), pp. 2003-2012
[29] YanX.G.SpurgeonS.K., and EdwardsC.: ‘Static output feedback sliding mode control for time‐varying delay systems with time‐delayed nonlinear disturbances’, Int. J. Robust Nonlinear Control, 2010, 20, (7), pp. 777-788 · Zbl 1298.93113
[30] RubioJ.J.: ‘Structure control for the disturbance rejection in two electromechanical processes’, J. Franklin Inst., 2016, 353, (14), pp. 3610-3631 · Zbl 1347.93115
[31] AghababaM.P.: ‘Twofold sliding controller design for uncertain switched nonlinear systems’, IEEE Trans. Syst. Man Cybern., Syst., 2019, pp. 1-12, DOI: 10.1109/TSMC.2019.2895099
[32] QianD.TongS., and LiuH.et al.: ‘Load frequency control by neural‐network‐based integral sliding mode for nonlinear power systems with wind turbines’, Neurocomputing, 2016, 173, pp. 875-885
[33] AghababaM.P.: ‘Sliding‐mode control composite with disturbance observer for tracking control of mismatched uncertain ndof nonlinear systems’, IEEE/ASME Trans. Mechatronics, 2017, 23, (1), pp. 482-490
[34] AghababaM.P.: ‘Stabilization of canonical systems via adaptive chattering free sliding modes with no singularity problems’, IEEE Trans. Syst. Man Cybern., Syst., 2018, pp. 1-8, DOI: 10.1109/TSMC.2017.2782767
[35] ChuangN.: ‘Robust \(H \infty\) load‐frequency control in interconnected power systems’, IET Control Theory Appl., 2016, 10, (1), pp. 67-75
[36] MiY.FuY., and WangC.et al.: ‘Decentralized sliding mode load frequency control for multi‐area power systems’, IEEE Trans. Power Syst., 2013, 28, (4), pp. 4301-4309
[37] ZhangC.K.JiangL., and WuQ.et al.: ‘Delay‐dependent robust load frequency control for time delay power systems’, IEEE Trans. Power Syst., 2013, 28, (3), pp. 2192-2201
[38] JinL.ZhangC.K., and HeY.et al.: ‘Delay‐dependent stability analysis of multi‐area load frequency control with enhanced accuracy and computation efficiency’, IEEE Trans. Power Syst., 2019, 34, (5), pp. 3687-3696
[39] KundurP.BaluN.J., and LaubyM.G.: ‘Power system stability and control’, vol. 7 (McGraw‐Hill, New York, 1994)
[40] EdwardsC., and SpurgeonS.: ‘Sliding mode control: theory and applications’ (CRC Press, London, UK, 1998)
[41] YanX.G., and EdwardsC.: ‘Adaptive sliding‐mode‐observer‐based fault reconstruction for nonlinear systems with parametric uncertainties’, IEEE Trans. Ind. Electron., 2008, 55, (11), pp. 4029-4036
[42] XiaY.ZhouN., and LuK.et al.: ‘Attitude control of multiple rigid bodies with uncertainties and disturbances’, IEEE/CAA Journal of Automatica Sinica, 2015, 2, (1), pp. 2-10
[43] YuX., and TomsovicK.: ‘Application of linear matrix inequalities for load frequency control with communication delays’, IEEE Trans. Power Syst., 2004, 19, (3), pp. 1508-1515
[44] FanH.JiangL., and ZhangC.K.et al.: ‘Frequency regulation of multi‐area power systems with plug‐in electric vehicles considering communication delays’, IET. Gener. Transm. Distrib., 2016, 10, (14), pp. 3481-3491
[45] YanX.G.EdwardsC., and SpurgeonS.K.: ‘Variable structure control of complex systems’ (Springer, London, UK, 2017) · Zbl 1417.93030
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