Biogeography-Based Optimized Fractional-Order Fuzzy PID Controller for Automatic Generation Control of a Two-Area Interconnected Power System
Keywords:
Automatic Generation Control, Load Frequency Control, Biogeography-Based Optimization Fractional-Order Controller
Abstract
In this paper, an efficient optimized fractional-order fuzzy proportional-integral-derivative controller (FOFPID) based on biogeography-based optimization (BBO) method is designed for automatic generation control of a two-zone four unit hydro-thermal power system. Studies were conducted in two scenarios. In the first scenario, the simulation was carryout for power system with pure-thermal units and in the second scenario; the simulation was performed for hydro-thermal power system. In each scenario, Ten percent load changes have occurred in both areas. Moreover, the simulations were also performed by applying the conventional PI, PID, and the hybrid PSO-PS based Fuzzy-PI controllers for two aforementioned scenarios. The numerical simulation results illustrated that the proposed optimized control scheme outperforms the other controllers such as the conventional PI, PID, and the hybrid PSO-PS based Fuzzy-PI controllers under uncertainties in terms of minimizing frequency deviations. Such that we had a decrease for the Integral Square Time Square Error (ISTSE) and settling time, with a 15% and 43% reduction, respectively. Moreover, the simulation results were also demonstrate the effectiveness and the convergence of the BBO algorithm.
References
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[2] H. Saadat, “Power system analysis, ” USA: McGraw-Hill, 1999.
[3] H. Bevrani, “Robust power system frequency control, ” USA: Springer, 2009.
[4] K. P. Ibraheem and D. P. Kothari, “Recent philosophies of automatic generation control strategies in power system, ” IEEE Trans Power Syst, vol. 20, pp. 346-357, 2005.
[5] J. Nanda, S. Mishra, and L. C. Saikia, “Maiden application of bacterial foraging-based optimization technique in multiarea automatic generation control, ” IEEE Trans Power Syst, vol. 24, pp. 602-609, 2009.
[6] K. R. Sudha and R. Vijaya-Santhi, “Load frequency control of an interconnected reheat thermal system using type-2 fuzzy system including SMES units, ”Int J Elec Power, vol. 43, pp. 1383-1392, 2012.
[7] U. K. Rout, R. K. Sahu, and S. Panda, “Design and analysis of differential evolution algorithm based automatic generation control for interconnected power system, ”Ain Shams Eng, vol. 4, pp. 409-421, 2013.
[8] S. Panda, B. Mohanty, and P. K. Hota, “Hybrid BFOAPSO algorithm for automatic generation control of linear and nonlinear interconnected power systems, ”Appl Soft Comput, vol. 3, pp. 4718-4730, 2013.
[9] L. Chandra-Saikia, J. Nanda, and S. Mishra, “Performance comparison of several classical controllers in AGC for multi-area interconnected thermal system, ” Int J Electr Power Energy Syst, vol. 33, pp. 394-401, 2011.
[10] J. Nanda, A. Mangla, and S. Suri, “Some findings on automatic generation control of an interconnected hydrothermal system with conventional controllers, ” IEEE Trans Energy Convers, vol. 21, pp. 187-193, 2006.
[11] P. N. Topno and S. Chanana, “Load frequency control of a two-area multi-source power system using a tilt integral derivative controller, ” .. J Vib Control, vol. 24, pp. 110-125, 2018.
[12] K. P. Singh-Parmara, S. Majhi, and D. P. Kothari, “Load frequency control of a realistic power system with multi-source power generation, ” Int J Elec Power, vol. 42, pp. 426-433, 2012.
[13] A. Demiroren and H. L. Zeynelgil, “GA application to optimization of AGC in three-area power system after deregulation, ” Int J Elec Power, vol. 29, pp. 230-240, 2007.
[14] H. Golpira, H. Bevrani and H. Golpira, “Application of GA optimization for automatic generation control design in an interconnected power system, ” Int Energy Convers and Manag, vol. 52, pp. 2247-2255, 2011.
[15] R. K. Sahu, S. Panda, and U. K. Rout, “Optimized parallel 2-DOF PID controller for load frequency control of power system with governor dead-band nonlinearity, ” Int J Elec Power, vol. 49, pp. 19-33, 2013.
[16] C. S. Rao, S. S. Nagaraju, and P. S. Raju, “Automatic generation control of TCPS based hydrothermal system under open market scenario: A fuzzy logic approach, ” Int J Elec Power, vol. 31, pp. 315-322, 2009.
[17] L. Chandra Saikia, S Mishra, N. Sinha, et al., “Automatic generation control of a multi area hydrothermal system using reinforced learning neural network controller, ” Int J Elec Power, vol. 33, pp. 1101-1108, 2011.
[18] R. K. Sahu, S. Panda, and G. T. Chandra-Sekhar, “A novel hybrid PSO-PS optimized fuzzy PI controller for AGC in multi area interconnected power systems, ” Int J Elec Power, vol. 64, pp. 880-893, 2015.
[19] K. P. Singh-Parmara, S. Majhi, and D. P. Kothari, “Improvement of dynamic performance of LFC of the two area power system: an analysis using MATLAB, ” Int J Comput Appl, vol. 40, pp. 28-32, 2012.
[20] K.R. M. V. Chandrakala, S. Balamurugan, and K. Sankaranarayanan, “Variable structure fuzzy gain scheduling based load frequency controller for multi-source multi area hydro thermal system, ” Int J Electr Power Energy Syst, vol. 53, pp. 375-381, 2013.
[21] S. Debbarma, L. C. Saikia, and N. Sinha, “Solution to automatic generation control problem using firefly algorithm optimized IλDα controller, ” ISA Trans, vol. 53, pp. 358-366, 2014.
[22] B. J. Lurie, “Three-parameter tunable tilt-integral-derivative (TID) controller, ” U.S. Patent 5371670A, 1994.
[23] A. Rahman, L. C. Saikia, and N. Sinha, “Automatic generation control of an unequal four-area thermal system using biogeography-based optimised 3DOF-PID controller, ” IET Gener Transm Distrib, vol. 10, pp. 4118-4129, 2016.
[24] Y. Arya and N. Kumar, “BFOA-scaled fractional order fuzzy PID controller applied to AGC of multi-area multi-source electric power generating systems, ” Swarm Evol Comput, vol. 32, pp. 202-218, 2017.
[25] N. E. Yakine-Kouba, M. Menaa, M. Hasni , et al.,“ Novel Optimal Combined Fuzzy PID Controller Employing Dragonfly Algorithm for Solving Automatic Generation Control Problem, ” Electr Power Compon Syst, vol. 46, pp. 2054-2070, 2018.
[26] Y. Arya, “A new optimized fuzzy FOPI-FOPD controller for automatic generation control of electric power systems, ” J Franklin Inst J FRANKLIN I, vol. 356, pp. 5611-5629, 2019.
[27] R. Mohammadikia and M. Aliasghary, “A fractional order fuzzy PID for load frequency control of four-area interconnected power system using biogeography-based optimization, ” Int Trans Electr Energy Syst, vol. 29, pp. e2735, 2019.
[28] Y. Arya, “A novel CFFOPI-FOPID controller for AGC performance enhancement of single and multi-area electric power systems, ” ISA Trans, vol. 100, pp. 126-135, 2020.
[29] Y. Arya, P. Dahiya, M. Hasni, et al., “AGC performance amelioration in multi-area interconnected thermal and thermal-hydro-gas power systems using a novel controller, ” Eng Sci Technol, vol. 24, pp. 384-396, 2021.
[30] A. Chawpattnaik, R. K. Sahu, P. C. Pradhan, “Design and analysis of hybrid fuzzy fractional order PD-PI controller for frequency regulation problem, ” in Proc. 2020 IEEE International Conference on Computational Intelligence for Smart Power System and Sustainable Energy (CISPSSE), Keonjhar, India, 29-31 July 2020.
[31] A. J. Caldern, B. M. Vinagre, and V. Feliu, “Fractional order control strategies for power electronic buck converters, ” Signal Process, vol. 86, pp. 2803-2819, 2006.
[32] K. Miller and B. Ross, “An Introduction to the Fractional Calculus and Fractional Differential Equations, ” New York: A Wiley-Interscience Publication, 1993.
[33] I. Podlubny, “Fractional Differential Equations, ” New York: Academic Press, 1998.
[34] M. Caputo, “Linear models of dissipation whose Q is almost frequency independent-II, ” Geophys J Int, , vol. 13, pp. 529-539, 1967.
[35] D. Simon, “Biogeography based optimization, ” IEEE Trans Evol Comput, vol. 12, pp. 702-713, 2008.
Published
2022-03-01
How to Cite
Fayazi, A., Ghayoumi Zadeh, H., & Soltani Sangi, A. (2022). Biogeography-Based Optimized Fractional-Order Fuzzy PID Controller for Automatic Generation Control of a Two-Area Interconnected Power System. Majlesi Journal of Mechatronic Systems, 11(1), 7-17. Retrieved from https://ms.majlesi.info/index.php/ms/article/view/505
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