Abstract
The time delay between distributed generation sources puts the frequency stability at risk. Moreover, increasing the number of distributed generation sources in islanded microgrids due to the lack of inertia has undesirable effects on frequency stability. In this article, the notion of a virtual synchronous generator which follows the characteristics of a conventional synchronous generator is introduced. Virtual inertia control can be implemented on sources of energy storage. In this article, the problem of designing a Virtual Inertia Control method is based on Robust Model Predictive Controller (RMPC), considering the time delays in microgrids is addressed. To model the uncertainty of the system, employed the polytopic model and the Sedumi solver to solve the Linear Matrix Inequalities (LMI), in a shorter time. Compared the results of the proposed controller under several different scenarios with virtual inertial control schemes based on the optimized-PI-controller (Genetic algorithm), the H-infinity controller, and the control free procedure, considering uncertainties in microgrid parameters, time delays and input disturbances. The efficiency of the RMPC method has been indicated via the simulations performed in MATLAB.














Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Abbour N, Mademlis C (2018) Online parameters estimation and autotuning of a discrete-time model predictive speed controller for induction motor drives. IEEE Trans Power Electr 34(2):1548–1559
Ali H, Magdy G, Li B, Shabib G, Elbaset AA, Xu D, Mitani Y (2019) A new frequency control strategy in an islanded microgrid using virtual inertia control-based coefficient diagram method. IEEE Access 7:16979–16990
Amin F, Fahmi A (2019) human immunodeficiency virus (HIV) infection model based on triangular neutrosophic cubic hesitant fuzzy number. Int J Biomath 12(5):1950055
Amin F, Fahmi A, Abdullah S, Ali A, Ahmed R, Ghani F (2018) Triangular F cubic linguistic hesitant fuzzy aggregation operators and their application in group decision making. J Intell Fuzzy Syst 34:2401–2416
Amin F, Fahmi A, Abdullah S (2019) Dealer using a new trapezoidal cubic hesitant fuzzy TOPSIS method and application to group decision-making program. Soft Comput 23(14):1–14
Bevrani H, Habibi F, Babahajyani P, Watanabe M, Mitani Y (2012) Intelligent frequency control in an Ac microgrid: online PSO-based fuzzy tuning approach. IEEE Trans Smart Grid 3(4):1935–1944
Bonan H, Liu L, Li Y, Zhang H (2019) Distributed optimal energy management for microgrids in the presence of time-varying communication delays. IEEE Access 7:83702–83712
Cai D, Huang Q, Li J, Zhang Z, Teng Y, Hu W (2018) Stabilization of time-delayed power system with combined frequency-domain IQC and time-domain dissipation inequality. IEEE Trans Power Syst 33(5):5531–5541
Chen G, Guo Z (2017) Distributed secondary and optimal active power sharing control for islanded microgrids with communication delays. IEEE Transactions on Smart Grid 10(2):2002–2014
Chikuni E, Gonzalez-Longatt F F, Rashayi E (2013) Effects of the synthesis inertia from wind power on the total system inertia after a frequency disturbance. In: IEEE industrial technology conference, pp 1–6
Cuzzola FA, Geromel JC, Morari M (2002) An improved approach for constrained robust model predictive control. Automatica 38:1183–1189
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
Dong C, Jia H, Xu Q, Xiao J, Xu Y, Tu P, Wang P (2017) Time-delay stability analysis for hybrid energy storage system with hierarchical control in DC microgrids. IEEE Trans Smart Grid 9(6):6633–6645
El-Fergany AA, El-Hameed MA (2017) Efficient frequency controllers for autonomous two-area hybrid microgrid system using social-spider optimizer. IET Gener Transm Distrib 11(3):637–648
Fahmi A, Abdullah S, Amin F, Siddiqui N, Ali A (2017) Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems. J Intell Fuzzy Syst 33(6):3323–3337
Fahmi A, Abdullah S, Amin F, Ali A (2018a) Weighted average rating (war) method for solving group decision making problem using triangular cubic fuzzy hybrid aggregation (TCFHA). Punjab Univ J Math 50(1):23–34
Fahmi A, Amin F, Abdullah S, Ali A (2018b) Cubic fuzzy einstein aggregation operators and its application to decision making. Int J Syst Sci 49(11):2385–2397
Fahmi A, Abdullah S, Amin F, Ali A, Khan WA (2018c) Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making. J Intell Fuzzy Syst 35(2):2485–2499
Fahmi A, Abdullah S, Amin F (2019a) Cubic uncertain linguistic powered Einstein aggregation operators and their application to multi-attribute group decision making. Math Sci 13:129–152
Fahmi A, Abdullah S, Amin F, Ali A, Ahmad R, Shakeel M (2019b) Trapezoidal cubic hesitant fuzzy aggregation operators and their application in group decision-making. J Intell Fuzzy Syst 36(4):3619–3635
Fahmi A, Abdullah S, Amin F, Aslam M, Hussain S (2019c) Trapezoidal linguistic cubic fuzzy TOPSIS method and application in a group decision making program. J Intell Fuzzy Syst 29(1):1283–1300
Frack P, Mercado P, Molina M (2015) Extending the VISMA concept to improve the frequency stability in microgrids. In: IEEE intelligent system applications to power systems conference, pp 1–6
Gang H, Zhao Z (2017) Delay effects on consensus-based distributed economic dispatch algorithm in microgrid. IEEE T Power Syst 33(1):602–612
Hu Y, Wei W, Peng Y, Lei J (2016) Fuzzy virtual inertia control for virtual synchronous generator. In: 2016 Chinese control conference, pp 1–6
Jin L, Wen B, Wang H (2019) Adaptive Virtual inertia control strategy of vsg for micro-grid based on improved bang-bang control strategy. IEEE Access 7:39509–39514
Kerdphol T, Rahman F, Mitani Y, Hongesombut K, Kufeoglu K (2017) Virtual inertia control-based model predictive control for microgrid frequency stabilization considering high renewable energy integration. Sustainability 9(5):1–21
Kerdphol T et al (2017b) Robust virtual inertia control of an islanded microgrid considering high penetration of renewable energy. IEEE Access 6:625–636
Khooban MH (2017) Secondary load frequency control of time-delay stand-alone microgrids with electric vehicles. IEEE Trans Ind Electron 65(9):7416–7422
Khooban MH, Vafamand N, Dragicevic T, Mardani M, Heydari R (2018) Modeling and HiL real-time simulation for the secondary LFC in time-delay shipboard microgrids. In: 2018 IEEE international conference on electrical systems for aircraft, railway, ship propulsion and road vehicles & international transportation electrification conference (ESARS-ITEC)
Kothare MV, Balakrishnan V, Morari M (1996) Robust constrained model predictive control using linear matrix inequalities. Automatica 32(10):1361–1379
Kumar RH, Ushakumari S (2014) Biogeography-based tuning of PID controllers for load frequency control in microgrid. In: 2014 international conference on circuit, power and computing technologies [ICCPCT], Nagercoil, pp 797–802
Lai J, Zhou H, Lu X, Yu X, Hu W (2016) Droop-based distributed cooperative control for microgrids with time-varying delays. IEEE Trans Smart Grid 7(4):1775–1789
Lou G, Gu W, Xu Y, Jin W, Du X (2017) Stability robustness for secondary voltage control in autonomous microgrids with consideration of communication delays. IEEE Trans Power Syst 33(4):4164–4178
McAllister J, Li Z, Liu J, Simonsmeier U (2018) Erythropoietin dose optimization for anemia in chronic kidney disease using recursive zone model predictive control. IEEE Trans Control Syst Technol 27(3):1181–1193
Mentesidi K, Garde R, Agudo M, Rikos E (2015) Implementation of a fuzzy logic controller for virtual inertial emulation. In: IEEE smart electric distribution systems and technologies conference, pp 1–6
Nagata TA (2019) Multiagent-based microgrid operation method considering charging and discharging strategies of electric vehicles. Electr Eng Jpn 208:35–42
Nogami S, Yokoyama A, Daibu T, Hono Y (2019) Virtual synchronous generator model control of PV for improving transient stability and damping in a large-scale power system. Electr Eng Jpn 208:21–28
Otsuki T, Komiyama R, Fujii Y (2017) Study on surplus electricity under massive integration of intermittent renewable energy sources. Electr Eng Jpn 201:17–31
Pandey SK, Mohanty SR, Kishor N, Catalão JPS (2014) Frequency regulation in hybrid power systems using particle swarm optimization and linear matrix inequalities based robust controller design. Int J Electr Power Energy Syst 63:887–900
Runfan Z, Hredzak B (2018) Distributed finite-time multiagent control for DC microgrids with time delays. IEEE Trans Smart Grid 10(3):2692–2701
Shi K, Ye H, Song W, Zhou G (2018) Virtual inertia control strategy in microgrid based on virtual synchronous generator technology. IEEE Access 6:27949–27957
Vafamand N, Khooban MH, Dragičević T, Boudjadar J, Asemani MH (2019) Time-delayed stabilizing secondary load frequency control of shipboard microgrids. IEEE Syst J 13(3):3233–3241
Wang D, Zhao D, Gong M, Yang B (2017) Research on robust model predictive control for electro-hydraulic servo active suspension systems. IEEE Access 6:3231–3240
Wu W, Chen Y, Luo A, Zhou L, Zhou X, Yang L, Guerrero JM (2016) A virtual inertia control strategy for DC microgrids analogized with virtual synchronous machines. IEEE Trans Ind Electron 7:6005–6016
Xu W, Elmorshedy MF, Liu Y, Islam MR, Allam SM (2019) Finite-set model predictive control based thrust maximization of linear induction motors used in linear metros. IEEE Trans Veh Technol 68(6):5443–5458
Yan H, Zhou X, Zhang H, Yang F, Wu ZG (2017) A novel sliding mode estimation for microgrid control with communication time delays. IEEE Trans Smart Grid 10(2):1509–1520
Yi Z, Zhao X, Shi D, Duan J, Xiang Y, Wang Z (2019) Accurate power sharing and synthetic inertia control for dc building microgrids with guaranteed performance. IEEE Access 7:63698–63708
Funding
None.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Moradi, M.H., Amiri, F. Virtual inertia control in islanded microgrid by using robust model predictive control (RMPC) with considering the time delay. Soft Comput 25, 6653–6663 (2021). https://doi.org/10.1007/s00500-021-05662-z
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-021-05662-z