Statistical analysis based load frequency control of multi-area system with nonlinearities using 2-DOF-PID controller with application of improved sine-cosine algorithm optimizer

Document Type : Research Article

Authors

Department of Electrical Engineering, NIT Jamshedpur, Jamshedpur, India-831014

Abstract

In this article, for Load Frequency Control (LFC) in power system an improved sine-cosine algorithm is proposed with 2-DOF-PID controller. To facilitate the inspection, a multi-area test system (three area) has been developed. Additionally, several physical restrictions have been taken into account while investigating practical power system analysis. For every scenario considered for the experiment, the suggested approach has been employed as the optimizer of parameter of the controller of LFC. 2-DOF-PID controllers has the ability to quickly reject disturbances without noticeably increasing overshoot in set point tracking, have been utilised as the controller of LFC. The PIDF and FOPID controllers has been compare with 2-DOF-PID controller to evaluate the usefulness of it. The simulation results of SCA, SSA, ALO, and PSO are some of the algorithms with which of the proposed modified algorithm were compared, in three distinct scenarios: disturbance in three areas, disturbance in two areas, and the final scenario with physical restrictions. Wilcoxon Sign Rank Test (WSRT) has been use for the statistical analysis and 20 separate times was carried out in order to further prove the supremacy of the suggested strategy.

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References

References:
1. Kundur, P., Power System Stability and Control. 8th Ed.,New Delhi: Tata McGraw-Hill; 2009. [2]” (n.d.).
2. Pandey, S.K., Mohanty, S.R., and Kishor, N. “A literaturesurvey on load-frequency control for conventional anddistribution generation power systems”, Renew. Sustain.Energy Rev., 25, pp. 318–334 (2013).https://doi.org/10.1016/j.rser.2013.04.029.
3. Shayeghi, H., Jalili, A., and Shayanfar, H.A. “Multi-stagefuzzy load frequency control using PSO”, EnergyConvers. Manag., 49(10), pp. 2570–2580 (2008).https://doi.org/10.1016/j.enconman.2008.05.015.
4. Hote, Y.V. and Jain, S. “PID controller design for loadfrequency control: Past, Present and future challenges”,IFAC-PapersOnLine, 51(4), pp. 604–609 (2018).https://doi.org/10.1016/j.ifacol.2018.06.162.
5. Pain, S. and Acharjee, P. “Multiobjective optimization ofload frequency control using PSO”, International Journalof Emerging Technology and Advanced Engineering, 4(7),pp. 16–22 (2014).
6. Sahu, R.K., Panda, S., and Padhan, S. “Optimalgravitational search algorithm for automatic generationcontrol of interconnected power systems”, Ain ShamsEng. J., 5(3), pp. 721–733 (2014).https://doi.org/10.1016/j.asej.2014.02.004.
7. Satheeshkumar, R. and Shivakumar, R. “Antlionoptimization approach for load frequency control ofmulti-area interconnected power systems”, Circuits Syst.,07(09), pp. 2357–2383 (2016).DOI: 10.4236/cs.2016.79206.
8. Arya, Y. “Automatic generation control of two-areaelectrical power systems via optimal fuzzy classicalcontroller”, J. Franklin Inst., 355(5), pp. 2662–2688(2018).https://doi.org/10.1016/j.jfranklin.2018.02.004.
9. Sahu, R.K., Panda, S., and Rout, U.K. “DE optimizedparallel 2-DOF PID controller for load frequency controlof power system with governor dead-band nonlinearity”,Int. J. Electr. Power Energy Syst., 49(1), pp. 19–33(2013). https://doi.org/10.1016/j.ijepes.2012.12.009.
10.Latif, A., Hussain, S.M.S., Das, D.C., et al. “A review onfractional order (FO) controllers’ optimization for load frequency stabilization in power networks”, Energy Reports, 7, pp. 4009–4021 (2021). https://doi.org/10.1016/j.egyr.2021.06.088.
11.Taher, S.A., Hajiakbari Fini, M., and Falahati Aliabadi,S. “Fractional order PID controller design for LFC in electric power systems using imperialist competitive algorithm”, Ain Shams Eng. J., 5(1), pp. 121–135 (2014). https://doi.org/10.1016/j.asej.2013.07.006.
12.Delassi, A., Arif, S., and Mokrani, L. “Load frequencycontrol problem in interconnected power systems using robust fractional PIλD controller”, Ain Shams Eng. J., 9(1), pp. 77–88 (2018). https://doi.org/10.1016/j.asej.2015.10.004.
13.Zamani, A., Barakati, S.M., and Yousofi-Darmian, S.“Design of a fractional order PID controller using GBMO algorithm for load–frequency control with governor saturation consideration”, ISA Trans., 64, pp. 56–66 (2016). https://doi.org/10.1016/j.isatra.2016.04.021.
14.Saurabh, K., Gupta, N.K., and Singh, A.K. “Fractionalorder controller design for load frequency control of single area and two area system”, 2020 7th Int. Conf. Signal Process. Integr. Networks, SPIN 2020, pp. 531–536 (2020). DOI: 10.1109/SPIN48934.2020.9070993.
15.Jagatheesan, K., Anand, B., Dey, K.N., et al.“Performance evaluation of objective functions in automatic generation control of thermal power system using ant colony optimization technique-designed proportional-integral-derivative controller”, Electr. Eng., 100(2), pp. 895–911 (2018). https://doi.org/10.1007/s00202-017-0555-x.
16.Hasanien, H.M. and El-Fergany, A.A. “Salp swarmalgorithm-based optimal load frequency control of hybrid renewable power systems with communication delay and excitation cross-coupling effect”, Electr. Power Syst. Res., 176, 105938 (2019). https://doi.org/10.1016/j.epsr.2019.105938.
17.Kumari, S. and Shankar, G. “A novel application of salpswarm algorithm in load frequency control of multi-area power system”, Proc. 2018 IEEE Int. Conf. Power Electron. Drives Energy Syst. PEDES 2018, 3, pp. 1–5 (2018). DOI: 10.1109/PEDES.2018.8707635.
18.Sharma, M., Prakash, S., Saxena, S., et al. “Optimalfractional-order tilted-integral-derivative controller for frequency stabilization in hybrid power system using salp swarm algorithm”, Electr. Power Components Syst., 48(18), pp. 1912–1931 (2021). https://doi.org/10.1080/15325008.2021.1906792.
19.Mohapatra, T.K., Dey, A.K., and Sahu, B.K.“Employment of quasi oppositional SSA-based two-degree-of-freedom fractional order PID controller for AGC of assorted source of generations”, IET Gener. N. Kumar Gupta et al./ Scientia Iranica (2025) 32(1): 6574 Transm. Distrib., 14(17), pp. 3365–3376 (2020). https://doi.org/10.1049/iet-gtd.2019.0284.
20.AH, G.H. and Li, Y.Y. “Ant lion optimized hybridintelligent PID-based sliding mode controller for frequency regulation of interconnected multi-area power systems”, Trans. Inst. Meas. Control, 42(9), pp. 1594–1617(2020). https://doi.org/10.1177/0142331219892728.
21.Fathy, A. and Kassem, A.M. “Antlion optimizer-ANFISload frequency control for multi-interconnected plants comprising photovoltaic and wind turbine”, ISA Trans., 87,pp.282–296(2019). https://doi.org/10.1016/j.isatra.2018.11.035.
22.Sahu, P.C., Prusty, R.C., and Sahoo, B.K., “Modified sinecosine algorithm-based fuzzy-aided PID controller for automatic generation control of multiarea power systems”, Soft Comput., 24(17), pp. 12919–12936 (2020). https://doi.org/10.1007/s00500-020-04716-y.
23.Khokhar, B., Dahiya, S., and Parmar, K.P.S. “Loadfrequency control of a microgrid employing a 2D Sine logistic map based chaotic sine cosine algorithm”, Appl. Soft Comput., 109, 107564 (2021). https://doi.org/10.1016/j.asoc.2021.107564.
24.Yousef, A.M., Ebeed, M., Abo-Elyousr, F.K., et al.“Optimization of PID controller for hybrid renewable energy system using adaptive sine cosine algorithm”, Int. J. Renew. Energy Res., 10(2), pp. 669–677 (2020). https://doi.org/10.20508/ijrer.v10i2.10685.g7938.
25.Khadanga, R.K., Kumar, A., and Panda, S. “A novelsine augmented scaled sine cosine algorithm for frequency control issues of a hybrid distributed two-area power system”, Neural Comput. Appl., 33, pp. 12791–12804 (2021). https://doi.org/10.1007/s00521-021-05923-w.
26.Debbarma, S., Saikia, L.C., and Sinha, N. “Automaticgeneration control using two degree of freedom fractional order PID controller”, Int. J. Electr. Power Energy Syst., 58, pp. 120-129 (2014). https://doi.org/10.1016/j.ijepes.2014.01.011.
27.Mirjalili, S.M., Mirjalili, S.Z., Saremi, S., et al., SineCosine Algorithm: Theory, Literature Review, andApplication in Designing Bend Photonic CrystalWaveguides, Springer International Publishing (2020).https://doi.org/10.1007/978-3-030-12127-3_12.
28.Mirjalili, S. “SCA: A Sine Cosine algorithm for solving optimization problems”, Knowledge-Based Systems, 96,pp. 120–133 (2016).https://doi.org/10.1016j.knosys.2015.12.022.
Scientia Iranica
Volume 32, Issue 1
Transactions on Computer Science & Engineering and Electrical Engineering
January and February 2025 Article ID:6574

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  • Receive Date: 04 March 2022
  • Revise Date: 31 January 2023
  • Accept Date: 17 July 2023

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