Frequency Regulation of a Standalone Interconnected AC Microgrid Using Innovative Multistage TDF(1+FOPI) Controller

Document Type : Research paper

Authors

Energy Management Research Center, University of Mohaghegh Ardabili, Ardabil, Iran

Abstract

This paper's main purpose is to offer an innovative multistage controller for load-frequency regulation of a standalone interconnected microgrid (SMG). A multistage TDF(FOPI+1) controller is designed, with the first stage being a filter built of the tilting and derivative operators. Transferring the integrator component to the second stage of the controller and employing its fractional-order (FO) form as a FO proportional-integrator (FOPI) controller results in the latter stage of the controller. To calculate the optimal controller parameters, the recently introduced Bonobo optimization algorithm (BOA) is applied. Besides, the optimization objective function is a mix of the control error signal in each area and the dynamic response characteristics of the system. In complex operating conditions such as sudden changes in power demands, uncertainties in renewable energy units' output, considering nonlinear factors, and parametric uncertainties in a two-area SMG, the performance of the proposed controller is compared with classical and multistage controllers. The results show that the TDF(1+FOPI) controller has a competent dynamic response and can be a suitable choice for performing LFC duties in SMGs. This control strategy's advantages include enhanced controller resistivity in diverse circumstances, faster reaction times, and better dynamic behavior. The results of the five studied scenarios show that using the proposed control strategy, the value of the objective function is improved by an average of more than 50% compared to other classical and conventional controllers. Similarly, improvements of more than 70% and 50% in key integral of time-weighted square error (ITSE) and Integral of absolute error (IAE) time zone indicators, respectively, are among the results of these studies.

Keywords


‎[1]‎         H. Shayeghi and A. Younesi, "Mini/Micro-Grid Adaptive Voltage and Frequency Stability Enhancement," Journal of ‎Operation and Automation in Power Engineering, vol. 7, no. 1, pp. 107-118, 2019, doi: 10.22098/joape.2019.5542.1417. ‎
‎[2]‎         H. Ali et al., "A new frequency control strategy in an islanded microgrid using virtual inertia control-based coefficient ‎diagram method," IEEE Access, vol. 7, pp. 16979-16990, 2019. ‎
‎[3]‎         M. Ramesh, A. K. Yadav, and P. K. Pathak, "An extensive review on load frequency control of solar-wind based hybrid ‎renewable energy systems," Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, pp. 1-25, 2021. ‎
‎[4]‎         B. Long, Y. Liao, K. T. Chong, J. Rodríguez, and J. M. Guerrero, "MPC-controlled virtual synchronous generator to ‎enhance frequency and voltage dynamic performance in islanded microgrids," IEEE Transactions on Smart Grid, vol. 12, ‎no. 2, pp. 953964, 2020. ‎
‎[5]‎         M. Gheisarnejad and M. H. Khooban, "Secondary load frequency control for multi-microgrids: HiL real-time simulation," ‎Soft Computing, vol. 23, no. 14, pp. 5785-5798, 2019, doi: 10.1007/s00500-018-3243-5. ‎
‎[6]‎         H. Bevrani, F. Habibi, P. Babahajyani, M. Watanabe, and Y. Mitani, "Intelligent Frequency Control in an AC Microgrid: ‎Online PSO-Based Fuzzy Tuning Approach," IEEE Transactions on Smart Grid, vol. 3, no. 4, pp. 1935-1944, 2012, doi: ‎‎10.1109/TSG.2012.2196806. ‎
‎[7]‎         H. Shayeghi and A. Younesi, "Fuzzy PID Control of Microgrids," in Microgrid Architectures, Control and Protection ‎Methods. Cham: Springer International Publishing, 2020, pp. 555-575. ‎
‎[8]‎         R. K. Khadanga, S. Padhy, S. Panda, and A. Kumar, "Design and analysis of tilt integral derivative controller for frequency ‎control in an islanded microgrid: a novel hybrid dragonfly and pattern search algorithm approach," Arabian Journal for ‎Science and Engineering, vol. 43, no. 6, pp. 3103-3114, 2018. ‎
‎[9]‎         A. Latif, S. M. S. Hussain, D. C. Das, T. S. Ustun, and A. Iqbal, "A review on fractional order (FO) controllers ‎optimization for load frequency stabilization in power networks," Energy Reports, vol. 7, pp. 4009-4021, 2021, doi: ‎https://doi.org/10.1016/j.egyr.2021.06.088. ‎
‎[10]‎       A. Singh and S. Suhag, "Frequency regulation in an AC microgrid interconnected with thermal system employing ‎multiverseoptimised fractional order-PID controller," International Journal of Sustainable Energy, vol. 39, no. 3, pp. 250-‎‎262, 2020. ‎
‎[11]‎       A. izadbakhsh, s. khorashadizadeh, and P. Kheirkhahan, "Real-time Fuzzy Fractional-Order Control of Electrically Driven ‎Flexible-Joint Robots," (in en), AUT Journal of Modeling and Simulation, vol. 52, no. 1, pp. 2-2, 2020, doi: ‎
‎10.22060/miscj.2018.13523.5075. ‎
‎[12]‎       A. Koszewnik, E. PawĹ‚uszewicz, and M. Ostaszewski, "Experimental studies of the fractional PID and TID controllers for ‎industrial process," International Journal of Control, Automation and Systems, vol. 19, no. 5, pp. 1847-1862, 2021. ‎
‎[13]‎       F. Babaei and A. Safari, "SCA based Fractional-order PID Controller Considering Delayed EV Aggregators," Journal of ‎Operation and Automation in Power Engineering, vol. 8, no. 1, pp. 75-85, 2020, doi: 10.22098/joape.2019.6088.1460. ‎
‎[14]‎       R. K. Khadanga, S. Padhy, S. Panda, and A. Kumar, "Design and analysis of multi-stage PID controller for frequency ‎control in an islanded micro-grid using a novel hybrid whale optimization-pattern search algorithm," International Journal ‎of Numerical Modelling: Electronic Networks, Devices and Fields, vol. 31, no. 5, p. e2349, 2018, doi: 10.1002/jnm.2349. ‎
‎[15]‎       H. Shayeghi and A. Rahnama, "Designing a PD-(1+PI) Controller for LFC of an Entirely Renewable Microgrid Using PSO-‎
TVAC," International Journal on “Technical and Physical Problems of Engineering” (IJTPE), vol. 12, no. 45, pp. 19-27, 2020. ‎
‎[16]‎       B. Khokhar, S. Dahiya, and K. Singh Parmar, "A robust Cascade controller for load frequency control of a standalone ‎microgrid incorporating electric vehicles," Electric Power Components and Systems, vol. 48, no. 6-7, pp. 711-726, 2020. ‎
‎[17]‎       Zaheeruddin and K. Singh, "Intelligent fractional-order-based centralized frequency controller for microgrid," IETE Journal ‎of Research, pp. 1-15, 2020. ‎
‎[18]‎       H. Shayeghi, A. Rahnama, and H. H. Alhelou, "Frequency control of fully-renewable interconnected microgrid using ‎fuzzy cascade controller with demand response program considering," Energy Reports, vol. 7, pp. 6077-6094, 2021, doi: ‎https://doi.org/10.1016/j.egyr.2021.09.027. ‎
‎[19]‎       D. K. Lal, A. K. Barisal, and M. Tripathy, "Load Frequency Control of Multi Area Interconnected Microgrid Power System ‎using Grasshopper Optimization Algorithm Optimized Fuzzy PID Controller," in 2018 Recent Advances on Engineering, ‎Technology and Computational Sciences (RAETCS), 6-8 Feb. 2018 2018, pp. 1-6, doi: 10.1109/RAETCS.2018.8443847.  ‎
‎[20]‎       A. Younesi and H. Shayeghi, "Q-Learning Based Supervisory PID Controller for Damping Frequency Oscillations in a ‎Hybrid Mini/Micro-Grid," Iranian Journal of Electrical and Electronic Engineering, vol. 15, no. 1, pp. 126-141, 2019, doi: ‎‎10.22068/IJEEE.15.1.126. ‎
‎[21]‎       S. Roozbehani, M. T. Hagh, and S. G. Zadeh, "Frequency control of islanded wind-powered microgrid based on ‎coordinated robust dynamic droop power sharing," IET Generation, Transmission & Distribution, vol. 13, no. 21, pp. 4968-‎‎4977, 2019. ‎
‎[22]‎       H. Abubakr, T. H. Mohamed, M. M. Hussein, J. M. Guerrero, and G. Agundis-Tinajero, "Adaptive frequency regulation ‎strategy in multi-area microgrids including renewable energy and electric vehicles supported by virtual inertia," ‎International Journal of Electrical Power & Energy Systems, vol. 129, p. 106814, 2021. ‎
‎[23]‎       H. Ali, G. Magdy, and D. Xu, "A new optimal robust controller for frequency stability of interconnected hybrid microgrids ‎considering non-inertia sources and uncertainties," International Journal of Electrical Power & Energy Systems, vol. 128, p. ‎‎106651, 2021. ‎
‎[24]‎       A. D. Shakibjoo, M. Moradzadeh, and S. Z. Moussavi, "A Novel Technique for Load Frequency Control of Multi-Area ‎Power Systems," Energies, vol. 13, no. 9, 2020. ‎
‎[25]‎       S. Mishra, R. C. Prusty, and S. Panda, "Design and Analysis of 2dof-PID Controller for Frequency Regulation of Multi-‎Microgrid Using Hybrid Dragonfly and Pattern Search Algorithm," Journal of Control, Automation and Electrical Systems, ‎vol. 31, no. 3, pp. 813-827, 2020, doi: 10.1007/s40313-019-00562-y. ‎
‎[26]‎       S. Padhy and S. Panda, "Application of a simplified Grey Wolf optimization technique for adaptive fuzzy PID controller ‎design for frequency regulation of a distributed power generation system," Protection and Control of Modern Power ‎Systems, vol. 6, no. 1, pp. 1-16, 2021. ‎
‎[27]‎       M. A. Sobhy, A. Y. Abdelaziz, H. M. Hasanien, and M. Ezzat, "Marine predators algorithm for load frequency control of ‎modern interconnected power systems including renewable energy sources and energy storage units," Ain Shams ‎Engineering Journal, vol. 12, no. 4, pp. 3843-3857, 2021. ‎
‎[28]‎       P. C. Nayak, U. C. Prusty, R. C. Prusty, and A. K. Barisal, "Application of SOS in fuzzy based PID controller for AGC of ‎multiarea power system," in 2018 Technologies for Smart-City Energy Security and Power (ICSESP), 2018, pp. 1-6, doi: ‎
‎10.1109/ICSESP.2018.8376709.  ‎
‎[29]‎       S. Kayalvizhi and D. M. V. Kumar, "Load Frequency Control of an Isolated Micro Grid Using Fuzzy Adaptive Model ‎Predictive Control," IEEE Access, vol. 5, pp. 16241-16251, 2017, doi: 10.1109/ACCESS.2017.2735545. ‎
‎[30]‎       A. K. Das and D. K. Pratihar, "Bonobo optimizer (BO): an intelligent heuristic with self-adjusting parameters over ‎continuous spaces and its applications to engineering problems," Applied Intelligence, vol. 52, no. 3, pp. 2942-2974, 2022. ‎
‎[31]‎       R. Dadi, K. Meenakshy, and S. Damodaran, "A Review on Secondary Control Methods in DC Microgrid," Journal of ‎Operation and Automation in Power Engineering, 2022. ‎
‎[32]‎       M. Khooban, "Secondary Load Frequency Control of Time-Delay Stand-Alone Microgrids With Electric Vehicles," IEEE ‎Transactions on Industrial Electronics, vol. 65, no. 9, pp. 7416-7422, 2018, doi: 10.1109/TIE.2017.2784385. ‎
‎[33]‎       T. Gönen, "Distributed Generation and Renewable Energy," in Electric Power Distribution Engineering,  Third ed.: CRC ‎Press, Tylor & Francis Group, 2014, pp. 767-834. ‎
‎[34]‎       D. C. Das, A. Roy, and N. Sinha, "GA based frequency controller for solar thermal–diesel–wind hybrid energy ‎generation/energy storage system," International Journal of Electrical Power & Energy Systems, vol. 43, no. 1, pp. 262-279, ‎‎2012. ‎
‎[35]‎       A. Demirören, "Application of a self-tuning to automatic generation control in power system including smes units," ‎European Transactions on Electrical Power, vol. 12, no. 2, pp. 101-109, 2002, doi: https://doi.org/10.1002/etep.4450120204. ‎
‎[36]‎       C. A. Monje, Y. Chen, B. M. Vinagre, D. Xue, and V. Feliu-Batlle, Fractional-order systems and controls: fundamentals ‎and applications. Springer Science & Business Media, 2010. ‎
‎[37]‎       P. N. Topno and S. Chanana, "Differential evolution algorithm based tilt integral derivative control for LFC problem of an ‎interconnected hydro-thermal power system," Journal of Vibration and Control, vol. 24, no. 17, pp. 3952-3973, 2018. ‎
‎[38]‎       P. Warrier and P. Shah, "Fractional order control of power electronic converters in industrial drives and renewable energy ‎systems: a review," IEEE Access, 2021. ‎
‎[39]‎       A. Tepljakov, "FOMCON: fractional-order modeling and control toolbox," in Fractional-order modeling and control of ‎dynamic systems: Springer, 2017, pp. 107-129. ‎
‎ ‎

Articles in Press, Corrected Proof
Available Online from 20 July 2022
  • Receive Date: 19 April 2022
  • Revise Date: 01 July 2022
  • Accept Date: 12 July 2022
  • First Publish Date: 20 July 2022