Abstract
Uncertainties related to the power output from the renewable energy sources and low inertia of a standalone microgrid (SMG) demand a robust control strategy for continuous frequency control of the SMG. Consequently, this paper proposes a novel hybrid fuzzy proportional derivative–tilt integral derivative (FPD-TID) controller for the load frequency control (LFC) analysis of a SMG. Inspiration for the proposed controller comes from combining the advantages of both the FPD and the TID controllers. Gains of the proposed controller are optimized using a robust chaotic crow search algorithm (CCSA). In order to validate the proposed control scheme, comparative frequency deviation responses of the SMG are presented considering multiple disturbances. Also, the proposed controller is put to test for its sensitivity and robustness subject to a ± 30% variation in the SMG parameters and disconnection of various SMG subsystems, respectively. Since operational stability of the SMG is highly desirable under such circumstances, the proposed control scheme aims to achieve a trade-off between its performance and the operational stability of the SMG. The operational stability of the SMG is established through eigenvalue and root locus analysis.
Similar content being viewed by others
Abbreviations
- f :
-
Nominal frequency (Hz)
- RES:
-
Renewable energy source
- SMG:
-
Standalone microgrid
- LFC:
-
Load frequency control
- CCSA:
-
Chaotic crow search algorithm
- FDR:
-
Frequency deviation response
- DG:
-
Distributed generation
- PID:
-
Proportional integral derivative
- WTG:
-
Wind turbine generator
- PV:
-
Photovoltaic
- DEG:
-
Diesel engine generator
- EV:
-
Electric vehicle
- FC:
-
Fuel cell
- BESS:
-
Battery energy storage system
- FESS:
-
Flywheel energy storage system
- AE:
-
Aqua electrolyzer
- CB:
-
Circuit breaker
- \(J_{\mathrm{P}}\) :
-
Performance index
- ITAE:
-
Integral of the time multiplied absolute error
- \(T_{sim}\) :
-
Simulation time (s)
- \(\varDelta {P_{D}}\) :
-
Incremental load change (pu MW)
- D :
-
Load damping coefficient (pu MW/Hz)
- H :
-
Inertia constant of the MG (s)
- R :
-
Governor speed regulation coefficient (Hz/pu MW)
- \(T_{\mathrm{G}}\) :
-
Governor time constant (s)
- \(T_{\mathrm{T}}\) :
-
Turbine time constant (s)
- \(T_{\mathrm{DEG}}\) :
-
DEG time constant (s)
- \(T_{\mathrm{EV}}\) :
-
EV time constant (s)
- \(T_{\mathrm{BESS}}\) :
-
BESS time constant (s)
- \(K_{\mathrm{BESS}}\) :
-
BESS gain
- \(T_{\mathrm{FESS}}\) :
-
FESS time constant (s)
- \(K_{\mathrm{FESS}}\) :
-
FESS gain
- \(T_{\mathrm{AE}}\) :
-
AE time constant (s)
- \(K_{\mathrm{AE}}\) :
-
AE gain
- \(T_{\mathrm{PV}}\) :
-
PV time constant (s)
- \(K_{\mathrm{PV}}\) :
-
PV gain
- \(T_{\mathrm{WTG}}\) :
-
WTG time constant (s)
- \(K_{\mathrm{WTG}}\) :
-
WTG gain
- \(T_{\mathrm{FC}}\) :
-
FC time constant (s)
- \(K_{\mathrm{FC}}\) :
-
FC gain
- \(\delta _{\mathrm{DEG}}\) :
-
Power increment limit of the DEG
References
Hote, Y.V.; Jain, S.: Controller design for load frequency control: past, present and future challenges. IFAC Papers Online, Science Direct 51(4), 604–609 (2018)
Hossain, M.A.; Pota, H.R.; Hossain, M.J.; Blaabjerg, F.: Evolution of microgrids with converter-interfaced generations: challenges and opportunities. Electr. Power Energy Syst. 109, 160–186 (2019)
Mohammadi, F.D.; Keshtkar, H.; Feliachi, A.: State space modeling, analysis and distributed secondary frequency control of isolated microgrids. IEEE Trans. Energy Conver. 74, 1–10 (2017). https://doi.org/10.1109/TEC.2017.2757012
Ali, R.; Mohamed, T.H.; Qudaih, Y.S.; Mitani, Y.: A new load frequency control approach in an isolated small power systems using coefficient diagram method. Electr. Power Energy Syst 56, 110–116 (2014)
Ray, P.K.; Mohanty, S.R.; Kishor, N.: Proportional integral controller based small-signal analysis of hybrid distributed generation systems. Energy Convers. Manag. 52, 1943–1954 (2011)
Saha, D.; Saikia, L.C.: Automatic generation control of an interconnected CCGT-thermal system using stochastic fractal search optimized classical controllers. Int. Trans. Electr. Energy Syst. 81, 1–25 (2018)
Gheisarnejad, M.; Khooban, M.H.: Secondary load frequency control for multi-microgrids: HiL real-time simulation. Soft Comput. 77, 1–14 (2018)
Bevrani, H.; Feizi, M.R.; Ataee, S.: Robust frequency control in an islanded microgrid: H-\(\infty \) and \(\mu \)-synthesis approaches. IEEE Trans. Smart Grid 7(2), 706–717 (2016). https://doi.org/10.1109/TSG.2015.2446984
Elsisi, M.; Soliman, M.; Aboelela, M.A.S.; Mansour, W.: Model predictive control of plug-in hybrid electric vehicles for frequency regulation in a smart grid. IET Gener. Transm. Distrib. 11(16), 3974–3983 (2017)
Annamraju, A.; Nandiraju, S.: Robust frequency control in an autonomous microgrid: a two-stage adaptive fuzzy approach. Electr. Power Compon. Syst. 10, 1–12 (2018)
Debbarma, S.; Saikia, L.C.; Sinha, N.: Robust two-degree-of-freedom controller for automatic generation control of multi-area system. Electr. Power Energy Syst. 63, 878–886 (2013)
Guha, D.; Roy, P.K.; Banerjee, S.: Optimal tuning of 3 degree-of-freedom proportional-integral-derivative controller for hybrid distributed power system using dragonfly algorithm. Comput. Electr. Eng. 72, 137–153 (2018)
Sondhi, S.; Hote, Y.V.: Fractional order PID controller for load frequency control. Energy Convers. Manag. 85, 343–353 (2014)
Pan, I.; Das, S.: Fractional order AGC for distributed energy resources using robust optimization. IEEE Trans. Smart Grid 28, 10 (2015)
Dulau, M.; Gligor, A.; Dulau, T.M.: Fractional order controllers versus integer order controllers. In: 10th International Conference Interdisciplinarity in Engineering, vol. 181, pp. 538–545. INTER-ENGProcedia Engineering, ScienceDirect (2017)
Guha, R.: Banerjee: A Maiden Application of Salp Swarm Algorithm Optimized Cascade Tilt-Integral Derivative Controller for Load Frequency Control of Power Systems, pp. 1–12. IET Generation, Transmission and Distribution (2018)
Pan, I.; Das, S.: Fractional order fuzzy control of hybrid power system with renewable generation using chaotic PSO. ISA Trans. 62, 19–29 (2016)
Sayed, G.I.; Hassanien, A.E.; Azar, A.T.: Feature selection via a novel chaotic crow search algorithm. Neural Comput. Appl. 29, 1–18 (2017)
Zhu, W.; Duan, H.: Chaotic predator-prey biogeography-based optimization approach for UCAV path planning. Aerosp. Sci. Technol. 32, 153–161 (2014)
Mukherjee, A.; Mukherjee, V.: Solution of optimal power flow using chaotic krill herd algorithm. Chaos Solitons Fractals 78, 10–21 (2015)
Kohli, M.; Arora, S.: Chaotic grey wolf optimization algorithm for constrained optimization problems. J. Comput. Des. Eng. (2017). https://doi.org/10.1016/j.jcde.2017.02.005
Farahani, M.; Ganjefar, S.; Alizadeh, M.: PID controller adjustment using chaotic optimisation algorithm for multi-area load frequency control. IET Control Theory Appl. 6(13), 1984–1992 (2012)
Pan, I.; Das, S.: Fractional-order load-frequency control of interconnected powersystems using chaotic multi-objective optimization. Appl. Soft Comput. 10, 19 (2015)
Rizk-Allah, R.M.; Hassanien, A.E.; Bhattacharyya, S.: Chaotic crow search algorithm for fractional optimization problems. Appl. Soft Comput. (2018). https://doi.org/10.1016/j.asoc.2018.03.019
Khooban, M.H.; Niknam, T.; Blaabjerg, F.; Davari, P.; Dragicevic, T.: A robust adaptive load frequency control for micro-grids. ISA Trans. 14, 1–10 (2016)
Singh, V.P.; Mohanty, S.R.; Kishor, N.; Ray, P.K.: Robust H-infinity load frequency control in hybrid distributed generation system. Electr. Power Energy Syst. 46, 294–305 (2013)
Lee, D.J.; Wang, L.: Small-signal stability analysis of an autonomous hybrid renewable energy power generation/energy storage system part I: time-domain simulations. IEEE Trans. Energy Convers. 20(1), 311–320 (2008)
Bevrani, H.; Habibi, F.; Babahajyani, P.; Watanabe, M.; Mitani, Y.: Intelligent frequency control in an AC microgrid: online PSO-based fuzzy tuning approach. IEEE Trans. Smart Grid 1, 95 (2012)
Jamshidi, F.; Salehizadeh, M.R.; Gholami, F.; Shafie-khah, M.: An Optimal Approach for Load-Frequency Control of Islanded Microgrids Based on Nonlinear Model. In: Optimization, Learning, and Control for Interdependent Complex Networks, Advances in Intelligent Systems and Computing, vol. 1123. Springer Nature Switzerland AG 2020 (2020)
Shimizu, K.; Masuta, T.; Ota, Y.; Yokoyama, A.: Load frequency control in power system using vehicle-to-grid system considering the customer convenience of electric vehicles. In: 2010 International Conference on Power System Technology, pp. 1–8 (2010)
Khadanga, R.K.; Padhy, S.; Panda, S.; Kumar, A.: 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 J. Sci. Eng. 10, 92 (2018)
Oh, S.K.; Jang, H.J.; Pedrycz, W.: Optimized fuzzy PD cascade controller: a comparative analysis and design. Simul. Model. Pract. Theory 19, 181–195 (2011)
Morsali, J.; Zare, K.; Hagh, M.T.: Comparative performance evaluation of fractional order controllers in LFC of two-area diverse-unit power system with considering GDB and GRC effects. J. Electr. Syst. Inf. Technol. 5(3), 708–722 (2017)
Askarzadeh, A.: A novel metaheuristic method for solving constrained engineering optimization problems: crow search algorithm. Comput. Struct. 169, 1–12 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khokhar, B., Dahiya, S. & Parmar, K.P.S. A Novel Hybrid Fuzzy PD-TID Controller for Load Frequency Control of a Standalone Microgrid. Arab J Sci Eng 46, 1053–1065 (2021). https://doi.org/10.1007/s13369-020-04761-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-020-04761-7