Abstract
This paper presents dynamic performance comparison of a fuzzy logic-based proportional, integral, and derivative controller (FPID) with different membership functions such as triangular, trapezoidal, and Gaussian for load frequency control (LFC) in an interconnected two-area thermal power system. The parameters of controller are optimized by using spider monkey optimization (SMO) algorithm. The superiority of the proposed algorithm is established by comparing the results with popularly used algorithms like particle swarm optimization (PSO) and teaching–learning-based optimization (TLBO). Initially, the linearized model of the system is considered with reheat turbine; then, the study is extended by imposing nonlinearity such as generation rate constraints (GRC) and governor dead band (GDB). The result comparison is analyzed using various time domain specifications like peak undershoot, peak overshoot, and settling time of different area frequencies and tie-line power deviation between them applying a step load perturbation (SLP) of 1%.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Elgerd, O.I.: Electric Energy Systems Theory: An Introduction, 2nd edn. Tata McGraw-Hill, New Delhi (2007)
Kundur, P.: Power System Stability and Control. Tata McGraw-Hill, New Delhi (2009) (8th reprint)
Cohn, N.: Some aspects of tie-line bias control on interconnected power systems. Trans. Am. Inst. Electr. Eng. Part III Power Appar. Syst. 75(3), 1415–1436 (1956)
Elgerd, O.I., Fosha, C.E.: Optimum megawatt-frequency control of multiarea electric energy systems. IEEE Trans. Power Appar. Syst. 4, 556–563 (1970)
Ghoshal, S.P.: Optimizations of PID gains by particle swarm optimizations in fuzzy based automatic generation control. Electr. Power Syst. Res. 72(3), 203–212 (2004)
Kocaarslan, I., Ertuğrul, Ç.: Fuzzy logic controller in interconnected electrical power systems for load-frequency control. Int. J. Electr. Power Energy Syst. 27(8), 542–549 (2005)
Panda, G., Panda, S., Cemal, A.: Automatic generation control of interconnected power system with generation rate constraints by hybrid neuro fuzzy approach. Int. J. Electr. Electron. Eng. (2009)
Saikia, L.C., Nanda, J., Mishra, S.: Performance comparison of several classical controllers in AGC for multi-area interconnected thermal system. Int. J. Electr. Power Energy Syst. 33(3), 394–401 (2011)
Sahu, R.K., Panda, S., Pradhan, S.: A hybrid firefly algorithm and pattern search technique for automatic generation control of multi area power systems. Int. J. Electr. Power Energy Syst. 64, 9–23 (2015)
Sahu, R.K., Panda, S., Sekhar, G.T.C.: A novel hybrid PSO-PS optimized fuzzy PI controller for AGC in multi area interconnected power systems. Int. J. Electr. Power Energy Syst. 64, 880–893 (2015)
Sahu, B.K., et al.: Teaching–learning based optimization algorithm based fuzzy-PID controller for automatic generation control of multi-area power system. Appl. Soft Comput. 27, 240–249 (2015)
Sahu, B.K., Pati, S., Panda, S.: Hybrid differential evolution particle swarm optimization optimized fuzzy proportional–integral derivative controller for automatic generation control of interconnected power system. IET Gener. Transm. Distrib. 8(11), 1789–1800 (2014)
Sahu, R.K., Panda, S., Padhan, S.: A novel hybrid gravitational search and pattern search algorithm for load frequency control of nonlinear power system. Appl. Soft Comput. 29, 310–327 (2015)
Sahu, R.K., Panda, S., Pradhan, P.C.: Design and analysis of hybrid firefly algorithm-pattern search based fuzzy PID controller for LFC of multi area power systems. Int. J. Electr. Power Energy Syst. 69, 200–212 (2015)
Sahu, B.K., et al.: A novel hybrid LUS–TLBO optimized fuzzy-PID controller for load frequency control of multi-source power system. Int. J. Electr. Power Energy Syst. 74, 58–69 (2016)
Bansal, J.C., et al.: Spider monkey optimization algorithm for numerical optimization. Memetic Comput. 6(1), 31–47 (2014)
Gupta, K., Deep, K., Bansal, J.C.: Spider monkey optimization algorithm for constrained optimization problems. Soft. Comput. 21(23), 6933–6962 (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Appendices
Appendix [8, 12]
f = 60 Hz; R1 = R2 = 2.4 Hz/pu.; TG1 = TG2 = 0.08 s; TT1 = TT2 = 0.3 s; B1 = B2 = 0.425 p.u. MW/Hz; Tr1 = Tr2 = 10 s; Kr1 = Kr2 = 0.5 TP1 = TP2 = 20 s; KP1 = KP2 = 120 Hz/p.u. MW T12 = 0.545, a12 = −1.
Appendix
Population size (n) = 50, number of iteration = 100, and number of runs = 20.
Control parameters for SMO: LLlim = (n/2) = 25, GLlim = ((n * d)/2) = 250. MG. = 10, pr = 0.1–0.9 increasing linearly.
Control parameters for PSO: Inertia weight (w), decreases linearly from 0.9–0.1; acceleration coefficients (c1 = 2, c2 = 2).
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Tripathy, D., Barik, A.K., Choudhury, N.B.D., Sahu, B.K. (2019). Performance Comparison of SMO-Based Fuzzy PID Controller for Load Frequency Control. In: Bansal, J., Das, K., Nagar, A., Deep, K., Ojha, A. (eds) Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 817. Springer, Singapore. https://doi.org/10.1007/978-981-13-1595-4_70
Download citation
DOI: https://doi.org/10.1007/978-981-13-1595-4_70
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-1594-7
Online ISBN: 978-981-13-1595-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)