Improved Nelder-Mead algorithm for output voltage control of a synchronous generator

References

• Abdeldjalil, L. 2006. “Modélisation dynamique et commande des alternateurs couplés dans un réseau électrique embarqués”, Ph.D. dissertation, Université de Nantes, France.
   Google Scholar
• Aguila-Camacho, N., and M. A. Duarte-Mermoud. 2013. “Fractional Adaptive Control for an Automatic Voltage Regulator.” ISA Transactions 52 (6): 807–815. https://doi.org/10.1016/j.isatra.2013.06.005
   PubMed Web of Science ®Google Scholar
• Anbarasi, S., and S. Muralidharan. 2017. “Intelligent Tuning of Proportional Integral Derivative Controller Using Hybrid Bacterial Foraging Particle Swarm Optimization for Automatic Voltage Regulator System.” Revue roumaine des sciences techniques Série Électrotechnique et Énergétique 62 (3): 325–331.
   Web of Science ®Google Scholar
• Ayas, M. S., and A. K. Sahin. 2023. “A Reinforcement Learning Approach to Automatic Voltage Regulator System.” Engineering Applications of Artificial Intelligence 121 (2023): 106050. https://doi.org/10.1016/j.engappai.2023.106050
   Google Scholar
• Chen, Z., L. Wu, P. Lin, Y. Wu, and S. Cheng. 2016. “Parameters Identification of Photovoltaic Models Using Hybrid Adaptive Nelder-Mead Simplex Algorithm Based on Eagle Strategy.” Applied Energy 182: 47–57. https://doi.org/10.1016/j.apenergy.2016.08.083
   Web of Science ®Google Scholar
• Daniel, N., and C. Sahu. 2015. “A Genetic & Nelder Mead Coefficient Optimization for Low Power Realization of FIR Filter.” International Journal of Modern Trends in Engineering and Research (IJMER) 2 (11): 122–128. https://www.scinapse.io/papers/2282028782
   Google Scholar
• Ekinci, S., D. Izci, and L. Abualigah. 2023. “A Novel Balanced Aquila Optimizer Using Random Learning and Nelder–Mead Simplex Search Mechanisms for air–Fuel Ratio System Control.” Journal of Brazilian Society of Mechanical Sciences Engineering 45 (1): 68. https://doi.org/10.1007/s40430-022-04008-6.
   Web of Science ®Google Scholar
• Ekinci, S., D. Izci, E. Eker, et al. 2023. “An Effective Control Design Approach Based on Novel Enhanced Aquila Optimizer for Automatic Voltage Regulator.” Artificial Intelligence Review 56: 1731–1762. https://doi.org/10.1007/s10462-022-10216-2.
   Web of Science ®Google Scholar
• El-Wakeel, A. S. 2014. “Design Optimization of PM Couplings Using Hybrid Particle Swarm Optimization-Simplex Method (PSO-SM) Algorithm.” Electric Power Systems Research 116: 29–35. https://doi.org/10.1016/j.epsr.2014.05.003
   Web of Science ®Google Scholar
• Elsisi, M. 2020. “New Variable Structure Control Based on Different Meta-Heuristics Algorithms for Frequency Regulation Considering Nonlinearities Effects.” International Transactions of Electrical Energy Systems, 30 (7): e12428. https://doi.org/10.1002/2050-7038.12428
   Web of Science ®Google Scholar
• Elsisi, M., and M. Soliman. 2021. “Optimal Design of Robust Resilient Automatic Voltage Regulators.” ISA Transactions 108: 257–268. https://doi.org/10.1016/j.isatra.2020.09.003
   PubMed Web of Science ®Google Scholar
• Fan, S.-K. S., and E. Zahara. 2007. “A Hybrid Simplex Search and Particle Swarm Optimization for Unconstrained Optimization.” European Journal of Operational Research 181 (2): 527–548. https://doi.org/10.1016/j.ejor.2006.06.034
   Web of Science ®Google Scholar
• Gaing, Z. L. 2004. “A Particle Swarm Optimization Approach for Optimum Design of PID Controller in AVR System.” IEEE Transactions on Energy Conversion 19 (2): 384–391. https://doi.org/10.1109/TEC.2003.821821
   Web of Science ®Google Scholar
• Gao, F., and L. Han. 2012. “Implementing the Nelder-Mead Simplex Algorithm with Adaptive Parameters.” Computational Optimization and Applications 51 (1): 259–277. https://doi.org/10.1007/s10589-010-9329-3.
   Web of Science ®Google Scholar
• Givens, U., T. Yiğit, A. H. Işik, and I. Akkaya. 2016. “Performance Analysis of Biogeography-Based Optimization for Automatic Voltage Regulator System.” Turkish Journal of Electrical Engineering & Computer Sciences 24: 1150–1162. https://doi.org/10.3906/elk-1311-111
   Web of Science ®Google Scholar
• Govindan, P. 2020. “Evolutionary Algorithms-Based Tuning of PID Controller for an AVR System.” International Journal of Electrical and Computer Engineering (IJECE) 10 (3): 3047–3056. https://doi.org/10.11591/ijece.v10i3.pp3047-3056
   Google Scholar
• Hogg, B. W., Q. H. Wu, and E. Swidenbank. 1989. “Optimal PID Automatic Voltage Regulator for Synchronous Machines.” International Journal of Control 50 (6): 2615–2634. https://doi.org/10.1080/00207178908953518
   Web of Science ®Google Scholar
• Izci, D., and S. Ekinci. 2022. “A Novel Hybrid ASO-NM Algorithm and Its Application to Automobile Cruise Control System.” In Proceedings of 2nd International Conference on Artificial Intelligence: Advances and Applications. Algorithms for Intelligent Systems, edited by G. Mathur, M. Bundele, M. Lalwani, and M. Paprzycki. Singapore: Springer. https://doi.org/10.1007/978-981-16-6332-1_29.
   Google Scholar
• Izci, D., Ekinci, S., Orenc, S., and Demirören, A. 2020. “Improved Artificial Electric Field Algorithm Using Nelder-Mead Simplex Method for Optimization Problems.” In 2020 4th International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT), Istanbul, Turkey, 1–5. https://doi.org/10.1109/ISMSIT50672.2020.9255255.
   Google Scholar
• Izci, D., B. Hekimoglu, and S. Ekinci. 2022. “A new Artificial Ecosystem-Based Optimization Integrated with Nelder-Mead Method for PID Controller Design of Buck Converter.” Alexandria Engineering Journal 61 (3): 2030–2044. https://doi.org/10.1016/j.aej.2021.07.037
   Web of Science ®Google Scholar
• Kundur, P. 1994. Power System Stability and Control. New York: McGraw-Hill.
   Google Scholar
• Lesenne, J., F. Notelet, and G. Seguier. 1981. “Introduction à l’électrotechnique approfondie”, Technique et Documentation, Paris, 1981, 247.
   Google Scholar
• Lixing, H., and M. Neumann. 2006. “Effect of Dimensionality on the Nelder–Mead Simplex Method.” Optimization Methods and Software 21 (1): 1–16. https://doi.org/10.1080/10556780512331318290
   Web of Science ®Google Scholar
• Mehta, V. K. 2019. “Improved Nelder-Mead Algorithm in High Dimensions with Adaptive Parameters Based on Chebyshev Spacing Points.” Engineering Optimization.
   Web of Science ®Google Scholar
• Mishra, D., P. C. Sahu, R. C. Prusty, and S. Panda. 2022. “A Fuzzy Adaptive Fractional Order-PID Controller for Frequency Control of an Islanded Microgrid Under Stochastic Wind/Solar Uncertainties.” International Journal of Ambient Energy 43 (1): 4602–4611. https://doi.org/10.1080/01430750.2021.1914163.
   Google Scholar
• Mohanty, P. K., B. K. Sahu, and S. Panda. 2014. “Tuning and Assessment of Proportional–Integral–Derivative Controller for an Automatic Voltage Regulator System Employing Local Unimodal Sampling Algorithm.” Electric Power Components Systems 42 (9): 959–969. https://doi.org/10.1080/15325008.2014.903546
   Web of Science ®Google Scholar
• Mok, R. H., and M. A. Ahmad. 2022. “Fast and Optimal Tuning of Fractional Order PID Controller for AVR System Based on Memorizable-Smoothed Functional Algorithm.” Engineering Science and Technology, an International Journal 35: 101264. https://doi.org/10.1016/j.jestch.2022.101264
   Google Scholar
• Nelder, J. A., and R. Mead. 1965. “A Simplex Method for Function Minimization.” Computer Journal 7 (4): 308–313. https://doi.org/10.1093/comjnl/7.4.308
   Web of Science ®Google Scholar
• Nigib, S. 2013. “An ant Colony Optimisation and Nelder-Mead Simplex Hybrid Algorithm for Training Neural Networks: An Application to Bankruptcy Prediction in Banks.” Intenational Journal of Information and Decision Sciences 5 (2): 188–203.
   Google Scholar
• Odili, J. B., M. N. M. Kahar, and A. Noraziah. 2017. “Parameters-tuning of PID Controller for Automatic Voltage Regulators Using the African Buffalo Optimization.” Plos One Journal 12 (4): 1–17. https://doi.org/10.1371/journal.pone.0175901
   Web of Science ®Google Scholar
• Omar, O. A. M., M. I. Marei, and M. A. Attia. 2023. “Comparative Study of AVR Control Systems Considering a Novel Optimized PID-Based Model Reference Fractional Adaptive Controller.” Energies 2023 (16): 830. https://doi.org/10.3390/en16020830
   Google Scholar
• Pattanaik, J. K., M. Basu, and D. P. Dash. 2018. “Improved Real Coded Genetic Algorithm for Dynamic Economic Dispatch.” Journal of Electrical Systems and Information Technology 5 (3): 349–362. https://doi.org/10.1016/j.jesit.2018.03.002
   Google Scholar
• Paweł, N., M. Maciej, E. Witold, and K. Lukasz. 2020. “Power Plant Optimisation- Effective Use of the Nelder-Mead Approach.” Processes MDPI 8 (357): 1–13. https://doi.org/10.3390/pr8030357
   Google Scholar
• Sahu, P. C., R. Baliarsingh, R. C. Prusty, and S. Panda. 2020. “Novel DQN Optimised Tilt Fuzzy Cascade Controller for Frequency Stability of a Tidal Energy-Based AC Microgrid.” International Journal of Ambient Energy 43 (1): 3587–3599. https://doi.org/10.1080/01430750.2020.1839553.
   Web of Science ®Google Scholar
• Sahu, P. C., S. Mishra, R. C. Prusty, and S. Panda. 2018. “Improved-salp Swarm Optimized Type-II Fuzzy Controller in Load Frequency Control of Multi Area Islanded AC Microgrid, Sustainable Energy.” Grids and Networks 16 (4): 380–392. https://doi.org/10.1016/j.segan.2018.10.003
   Google Scholar
• Sahu, P. C., R. C. Prusty, and S. Panda. 2020. “Frequency Regulation of an Electric Vehicle-Operated Micro-Grid Under WOA-Tuned Fuzzy Cascade Controller.” International Journal of Ambient Energy 43 (1): 2900–2911. https://doi.org/10.1080/01430750.2020.1783358.
   Google Scholar
• Sahu, P. C., R. C. Prusty, and S. Panda. 2020. “Optimal Design of a Robust FO-Multistage Controller for the Frequency Awareness of an Islanded AC Microgrid Under i-SCA Algorithm.” International Journal of Ambient Energy 43 (1): 2681–2693. https://doi.org/10.1080/01430750.2020.1758783.
   Web of Science ®Google Scholar
• Sahu, P. C., R. C. Prusty, and B. K. Sahoo. 2020. “Modified Sine Cosine Algorithm-Based Fuzzy-Aided PID Controller for Automatic Generation Control of Multiarea Power Systems.” Soft Computing 24 (17): 12919–12936. https://doi.org/10.1007/s00500-020-04716-y.
   Web of Science ®Google Scholar
• Spatti, D. H., I. N. da Silva, W. F. Usida, and R. A. Flauzino. 2009. “Real-time Voltage Regulation in Power Distribution System Using Fuzzy Control.” IEEE Transactions on Power Delivery 25 (2): 1112–1123. https://doi.org/10.1109/TPWRD.2009.2033276
   Web of Science ®Google Scholar
• Srikanth, R., M. Venkatesan, and M. Subba Rao. 2020. “Design and Performance Evaluation of PID, Fuzzy and Ann Based MPPTs for Hybrid Electric Vehicle Applications.” International Journal of Ambient Energy, https://doi.org/10.1080/01430750.2020.1846076.
   Web of Science ®Google Scholar
• Suid, M. H., and M. A. Ahmad. 2022. “Optimal Tuning of Sigmoid PID Controller Using Nonlinear Sine Cosine Algorithm for the Automatic Voltage Regulator System.” ISA Transactions 128: 265–286. https://doi.org/10.1016/j.isatra.2021.11.037
   PubMed Web of Science ®Google Scholar
• Türker, T. 2018. “SCSO: A Novel Sine-Cosine Based Swarm Optimization Algorithm for Numerical Function Optimization.” Periodicals of Engineering and Natural Sciences 5 (2): 1–9.
   Google Scholar
• Veinović, S., D. Stojić, and L. Ivanović. 2023. “Optimized PIDD2 Controller for AVR Systems Regarding Robustness.” International Journal of Electrical Power & Energy Systems 145: 108646. https://doi.org/10.1016/j.ijepes.2022.108646
   Web of Science ®Google Scholar
• Wang, P. C., and T. E. Shoup. 2011. “Parameter Sensitivity Study of the Nelder–Mead Simplex Method.” Advances in Engineering Software 42 (7): 529–533. https://doi.org/10.1016/j.advengsoft.2011.04.004
   Web of Science ®Google Scholar