Abstract
The influence of distributed generation sources in the Islanded microgrid has adverse effects on frequency stability because of the absence of inertia. Accordingly, the concept of a virtual synchronous generator (VSG) has been proposed, which follows the behavior of conventional synchronous generators. The virtual inertia control can be implemented on energy storage systems (ESSs) as a part of a virtual synchronous generator. Virtual inertial control does not perform optimally against the uncertainty of islanded microgrid parameters and disturbances. Therefore, virtual inertial control requires a supplementary controller in its structure that is resistant to these effects. In this paper, a new robust output feedback control method was used to control the virtual inertia in a two-area microgrid, which is based on the linear matrix inequality. The proposed control method does not need to measure all modes and only uses the output feedback. We compared the results of the proposed controller for controlling the virtual inertia in multiple different scenarios by considering the uncertainty of the two-area microgrid parameters as well as disturbances applied to the microgrid with the virtual inertia control based on optimized PI controllers (genetic algorithm), no controller (virtual inertia), and without considering virtual inertia (conventional methods). Accordingly, the effectiveness of the proposed method was demonstrated in terms of response speed, reduction of the frequency deviations and tie-line power deviations, robustness against parameters’ uncertainty, and disturbances occurring to the two-area microgrid.
Similar content being viewed by others
Data availability
Enquiries about data availability should be directed to the authors.
References
Abubakr H, Mohamed TH, Hussein MM, Guerrero JM, Agundis-Tinajero G (2021) Adaptive frequency regulation strategy in multi-area microgrids including renewable energy and electric vehicles supported by virtual inertia. Int J Electr Power Energy Syst 129:106814
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
Ali H, Magdy G, Xu D (2021a) A new optimal robust controller for frequency stability of interconnected hybrid microgrids considering non-inertia sources and uncertainties. Int J Electr Power Energy Syst 128:106651
Ali I, Rasheed A, Anwar MS, Irfan M, Hussain Z (2021b) Fractional calculus approach for the phase dynamics of Josephson junction. Chaos, Solitons Fractals 143:110572
Alipoor J, Miura Y, Ise T (2014) Power system stabilization using virtual synchronous generator with alternating moment of inertia. IEEE J Emerg Select Topics Power Electron 3(2):451–458
Amiri F, Hatami A (2017) A model predictive control method for load-frequency control in islanded microgrids. Computat Intell Electr Eng 8(1):9–24
Amiri F, Moradi MH (2018) Designing a fractional order PID controller for a two-area micro-grid under uncertainty of parameters. Iranian J Energy 20(4):49–78
Amiri F, Moradi MH (2021) Coordinated control of LFC and SMES in the power system using a new robust controller. Iranian J Electr Electron Eng 17(4):1912–1922
Amiri F, Moradi MH (2022) Improvement of Frequency stability in the power system considering wind turbine and time delay. J Renew Energy Environ 209:1509
Anwar MS (2020) Numerical study of transport phenomena in a nanofluid using fractional relaxation times in Buongiorno model. Phys Scr 95(3):035211
Anwar MS, Rasheed A (2017a) Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives. Comput Math Appl 74(10):2485–2502
Anwar MS, Rasheed A (2017b) A microscopic study of MHD fractional inertial flow through Forchheimer medium. Chin J Phys 55(4):1690–1703
Anwar MS, Rasheed A (2018) Joule heating in magnetic resistive flow with fractional Cattaneo-Maxwell model. J Braz Soc Mech Sci Eng 40(10):1–13
Anwar MS, Ahmad RTM, Shahzad T, Irfan M, Ashraf MZ (2020) Electrified fractional nanofluid flow with suspended carbon nanotubes. Comput Math Appl 80(5):1375–1386
Boyd S, El Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. Soc Indust Appl Math. https://doi.org/10.1137/1.9781611970777
Chilali M, Gahinet P, Scherer C (1996) Multi-objective output-feedback control via LMI optimization. IFAC Proceed Vol 29(1):1691–1696
Choi HD, Ahn CK, Lim MT, Song MK (2016) Dynamic output-feedback H∞ control for active half-vehicle suspension systems with time-varying input delay. Int J Control Autom Syst 14(1):59–68
Dey B, Bhattacharyya B, Srivastava A, Shivam K (2020) Solving energy management of renewable integrated microgrid systems using crow search algorithm. Soft Comput 24(14):10433–10454
Elshenawy M, Fahmy A, Elsamahy A, Kandil SA, El Zoghby HM (2022) Optimal power management of interconnected microgrids using virtual inertia control technique. Energies 15(19):7026
Hayat T, Anwar MS, Farooq M, Alsaedi A (2014) MHD stagnation point flow of second grade fluid over a stretching cylinder with heat and mass transfer. Int J Nonl Sci Numer Simulat 15(6):365–376
Hou X, Sun Y, Zhang X, Lu J, Wang P, Guerrero JM (2019) Improvement of frequency regulation in VSG-based AC microgrid via adaptive virtual inertia. IEEE Trans Power Electron 35(2):1589–1602
Hussain Z, Hayat T, Alsaedi A, Anwar MS (2021) Mixed convective flow of CNTs nanofluid subject to varying viscosity and reactions. Sci Rep 11(1):1–14
Hussain Z, Hussain A, Anwar MS, Farooq M (2022) Analysis of Cattaneo-Christov heat flux in Jeffery fluid flow with heat source over a stretching cylinder. J Therm Anal Calorim 147(4):3391–3402
Irfan M, Rafiq K, Anwar MS, Khan M, Khan WA, Iqbal K (2021) Evaluating the performance of new mass flux theory on Carreau nanofluid using the thermal aspects of convective heat transport. Pramana 95(4):1–9
Jamil B, Anwar MS, Rasheed A, Irfan M (2020) MHD Maxwell flow modeled by fractional derivatives with chemical reaction and thermal radiation. Chin J Phys 67:512–533
Kerdphol T, Rahman FS, Mitani Y, Hongesombut K, Küfeoğlu S (2017a) Virtual inertia control-based model predictive control for microgrid frequency stabilization considering high renewable energy integration. Sustainability 9(5):773
Kerdphol T, Rahman FS, Mitani Y, Watanabe M, Küfeoǧlu SK (2017b) Robust virtual inertia control of an islanded microgrid considering high penetration of renewable energy. IEEE Access 6:625–636
Kerdphol T, Rahman FS, Mitani Y (2018) Virtual inertia control application to enhance frequency stability of interconnected power systems with high renewable energy penetration. Energies 11(4):981
Kerdphol T, Rahman FS, Watanabe M, Mitani Y (2019a) Robust virtual inertia control of a low inertia microgrid considering frequency measurement effects. IEEE Access 7:57550–57560
Kerdphol T, Watanabe M, Hongesombut K, Mitani Y (2019b) Self-adaptive virtual inertia control-based fuzzy logic to improve frequency stability of microgrid with high renewable penetration. IEEE Access 7:76071–76083
Khan M, Rasheed A, Anwar MS, Hussain Z, Shahzad T (2021) Modelling charge carrier transport with anomalous diffusion and heat conduction in amorphous semiconductors using fractional calculus. Phys Scr 96(4):045204
Khooban MH, Dragicevic T, Blaabjerg F, Delimar M (2017) Shipboard microgrids: a novel approach to load frequency control. IEEE Trans Sust Energy 9(2):843–852
Li HY, Jing XJ, Karimi HR (2013) Output-feedback-based H∞ control for vehicle suspension systems with control delay. IEEE Trans Ind Electron 61(1):436–446
Li P, Hu W, Xu X, Huang Q, Liu Z, Chen Z (2019a) A frequency control strategy of electric vehicles in microgrid using virtual synchronous generator control. Energy 189:116389
Li J, Wen B, Wang H (2019b) Adaptive virtual inertia control strategy of VSG for micro-grid based on improved bang-bang control strategy. IEEE Access 7:39509–39514
Liu J, Hossain MJ, Lu J, Rafi FHM, Li H (2018) A hybrid AC/DC microgrid control system based on a virtual synchronous generator for smooth transient performances. Electric Power Syst Res 162:169–182
Mahendravarman I, Elankurisil SA, Venkateshkumar M, Ragavendiran A, Chin N (2020) Artificial intelligent controller-based power quality improvement for microgrid integration of photovoltaic system using new cascade multilevel inverter. Soft Comput 24(24):18909–18926
Mallol-Poyato R, Jiménez-Fernández S, Díaz-Villar P, Salcedo-Sanz S (2017) Adaptive nesting of evolutionary algorithms for the optimization of Microgrid’s sizing and operation scheduling. Soft Comput 21(17):4845–4857
Moradi MH, Amiri F (2021) Virtual inertia control in islanded microgrid by using robust model predictive control (RMPC) with considering the time delay. Soft Comput 25(8):6653–6663
Rasheed A, Anwar MS (2018) Numerical computations of fractional nonlinear Hartmann flow with revised heat flux model. Comput Math Appl 76(10):2421–2433
Rasheed A, Anwar MS (2019) Interplay of chemical reacting species in a fractional viscoelastic fluid flow. J Mol Liq 273:576–588
Sabahi K, Tavan M, Hajizadeh A (2021) Adaptive type-2 fuzzy PID controller for LFC in AC microgrid. Soft Comput 2:1–12
Safari A, Babaei F, Farrokhifar M (2019) A load frequency control using a PSO-based ANN for micro-grids in the presence of electric vehicles. Int J of Am Energy 25:1–13
Shahbazi M, Amiri F (2019) Designing a Neuro-Fuzzy controller with CRPSO and RLSE algorithms to control voltage and frequency in an isolated microgrid. In: 2019 international power system conference (PSC) (pp. 588–594). IEEE.
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
Shoaib Anwar M, Rasheed A (2017) Heat transfer at microscopic level in a MHD fractional inertial flow confined between non-isothermal boundaries. Europ Phys J plus 132(7):1–17
Singh K (2020) Primary frequency regulation of a microgrid by deloaded tidal turbines. Soft Comput 109:1–19
Tamrakar U, Shrestha D, Maharjan M, Bhattarai BP, Hansen TM, Tonkoski R (2017) Virtual inertia: current trends and future directions. Appl Sci 7(7):654
Tan KH, Lin FJ, Shih CM, Kuo CN (2019) Intelligent control of microgrid with virtual inertia using recurrent probabilistic wavelet fuzzy neural network. IEEE Trans Power Electron 35(7):7451–7464
Van TV, Visscher K, Diaz J, Karapanos V, Woyte A, Albu M, Federenciuc, D (2010) Virtual synchronous generator: an element of future grids. In 2010 IEEE PES Innovative smart grid technologies conference Europe (ISGT Europe) (pp. 1–7). IEEE.
Wang C, Mi Y, Fu Y, Wang P (2016) Frequency control of an isolated micro-grid using double sliding mode controllers and disturbance observer. IEEE Trans on Smart Grid 9(2):923–930
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 Industr Electron 64(7):6005–6016
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
Zhong QC, Weiss G (2010) Synchronverters: inverters that mimic synchronous generators. IEEE Trans Industr Electron 58(4):1259–1267
Funding
Not funding.
Author information
Authors and Affiliations
Contributions
All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [Farhad Amiri], [Mohammad Hassan Moradi]. The first draft of the manuscript was written by [Farhad Amiri], and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Ethical approval
The authors declare that in the submission of the manuscript, all the ethical principles of the journal are taken into account.
Informed Consent
The authors declare that they are completely satisfied for the publication of the article in the journal.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Appendices
Appendix A
See in Table
Appendix B
The controller information designed for the first area microgrid:
The controller information designed for the second area microgrid:
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Amiri, F., Moradi, M.H. Design of a new control method for dynamic control of the two-area microgrid. Soft Comput 27, 6727–6747 (2023). https://doi.org/10.1007/s00500-022-07676-7
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-022-07676-7