Conformable Fractional Order Controller Design and Implementation for Per-Phase Voltage Regulation of Three-Phase SEIG Under Unbalanced Load

References

• M. Ghorbani, B. Mozafari, M. Firouzi and F. Golshan, “Low-voltage ride through enhancement of both DFIG and SEIG-based wind power plants by RC-type solid-state fault current limiter,” Electr. Power Compon. Syst., vol. 49, no. 6–7, pp. 729–742, 2022. DOI: 10.1080/15325008.2021.2002475.
   Web of Science ®Google Scholar
• B. Sawetsakulanond and V. Kinnares, “A simple approach to capacitance determination of self-exited induction generators for terminal voltage regulation,” 7th Int. Conf. Power Electron. Drive Syst. IEEE, pp. 1319–1324, 2007.
   Google Scholar
• S. S. Murthy, U. K. Kalla and G. A. Bhuvaneswari, “Novel electronic controller implementation for voltage regulation of single phase self-excited induction generator,” IEEE Ind. Appl. Soc. Annu. Meet. IEEE, pp. 1–8, 2010.
   Google Scholar
• W. L. Chen and Y. Y. Hsu, “A novel active voltage and frequency regulator to improve grid-disconnection transients of self-excited induction generator system,” The Fifth International Conference on Power Electronics and Drive Systems, 2003. PEDS 2003., vol. 2, pp. 1586–1590, 2003.
   Google Scholar
• D. K. Palwalia and S. P. Singh, “Digital signal processor based fuzzy voltage and frequency regulator for self-excited induction generator,” Electr. Power Compon. Syst., vol. 38, no. 3, pp. 309–324, 2010. DOI: 10.1080/15325000903273411.
   Web of Science ®Google Scholar
• M. H. Shawon, Z. Hanzelka and A. Dziadecki, “Voltage-current and harmonic characteristic analysis of different FC-TCR based SVC,” IEEE Eindhoven PowerTech, pp. 1–6, 2015.
   Google Scholar
• D. Chermiti and A. Khedher, “Self excited induction generator using a thyristor controlled reactor: Frequency regulation and reactive power compensation,” 15th Int. Conf. Sci. Tech. Autom. Control Comput. Eng. IEEE, pp. 661–667, 2014.
   Google Scholar
• T. Ahmed, K. Nishida, K. Soushin and M. Nakaoka, “Static VAR compensator-based voltage control implementation of single-phase self-excited induction generator,” IEE Proc. Gener. Transm. Distrib., vol. 152, no. 2, pp. 145–156, 2005. DOI: 10.1049/ip-gtd:20051251.
   Google Scholar
• R. Khalil, M. Al Horani, A. Yousef and M. A. Sababheh, “New definition of fractional derivative,” J. Comput. Appl. Math., vol. 264, pp. 65–70, 2014. DOI: 10.1016/j.cam.2014.01.002.
   Web of Science ®Google Scholar
• E. Ilten, “Conformable fractional order controller design and optimization for sensorless control of induction motor,” COMPEL Int. J. Comput. Math. Electr. Electron. Eng., vol. 41, no. 5, pp. 1528–1541, 2022. DOI: 10.1108/COMPEL-09-2021-0334.
   Web of Science ®Google Scholar
• F. F. M. El-Sousy, “Intelligent optimal recurrent wavelet Elman neural network control system for permanent-magnet synchronous motor servo drive,” IEEE Trans. Ind. Inf., vol. 9, no. 4, pp. 1986–2003, 2012. DOI: 10.1109/TII.2012.2230638.
   Web of Science ®Google Scholar
• M. Demirtas, E. Ilten and H. Calgan, “Pareto-based multi-objective optimization for fractional order PIλ speed control of ınduction motor by using Elman neural network,” Arab J. Sci. Eng,, vol. 44, no. 3, pp. 2165–2175, 2019. DOI: 10.1007/s13369-018-3364-2.
   Web of Science ®Google Scholar
• F. Kheyrinataj and A. Nazemi, “Fractional Chebyshev functional link neural network‐optimization method for solving delay fractional optimal control problems with Atangana‐Baleanu derivative,” Optim Control Appl. Methods, vol. 41, no. 3, pp. 808–832, 2020. DOI: 10.1002/oca.2572.
   Web of Science ®Google Scholar
• K. Y. Cheng and Y. Y. Tzou, “Fuzzy optimization techniques applied to the design of a digital PMSM servo drive,” IEEE Trans. Power Electron, vol. 19, no. 4, pp. 1085–1099, 2004. DOI: 10.1109/TPEL.2004.830036.
   Web of Science ®Google Scholar
• F. Hicham, D. Yousfi, A. D. Youness, E. M. Larbi and N. A. Rahim, “Sliding-mode speed control of PMSM with fuzzy-logic chattering minimization—design and implementation,” Information, vol. 6, no. 3, pp. 432–442, 2015. DOI: 10.3390/info6030432.
   Google Scholar
• V. Kumar, P. Gaur and A. P. Mittal, “Finite‐state model predictive control of NPC inverter using multi‐criteria fuzzy decision‐making,” Int. Trans. Electr. Energ. Syst, vol. 25, no. 5, pp. 876–897, 2015. DOI: 10.1002/etep.1880.
   Web of Science ®Google Scholar
• W. M. Elawady, S. M. Lebda and A. M. Sarhan, “An optimized fuzzy continuous sliding mode controller combined with an adaptive proportional‐integral‐derivative control for uncertain systems,” Optim Control Appl. Methods, vol. 41, no. 3, pp. 980–1000, 2020. DOI: 10.1002/oca.2580.
   Web of Science ®Google Scholar
• W. K. Wibowo and S. Jeong, “Genetic algorithm tuned PI controller on PMSM simplified vector control,” J. Cent. South Univ, vol. 20, no. 11, pp. 3042–3048, 2013. DOI: 10.1007/s11771-013-1827-x.
   Web of Science ®Google Scholar
• L. Jolly, M. A. Jabbar and L. Qinghua, “Design optimization of permanent magnet motors using response surface methodology and genetic algorithms,” IEEE Trans. Magn., vol. 41, no. 10, pp. 3928–3930, 2005. DOI: 10.1109/TMAG.2005.854966.
   Web of Science ®Google Scholar
• E. Ilten and M. Demirtas, “Off-line tuning of fractional order PIλ Controller by using response surface method for induction motor speed control,” J. Control Eng. Appl. Informatics, vol. 18, pp. 20–27, 2016.
   Web of Science ®Google Scholar
• H. Çalgan, E. Ilten and M. Demirtas, “Thyristor controlled reactor‐based voltage and frequency regulation of a three‐phase self‐excited induction generator feeding unbalanced load,” Int. Trans. Electr. Energy Syst., vol. 30, pp. e12387, 2020.
   Web of Science ®Google Scholar
• A. Medjghou, M. Ghanai and K. Chafaa, “Improved feedback linearization control based on PSO optimization of an extended Kalman filter,” Optim Control Appl. Methods, vol. 39, no. 6, pp. 1871–1886, 2018. DOI: 10.1002/oca.2454.
   Web of Science ®Google Scholar
• L. Knypiński, L. Nowak and C. Jedryczka, “Optimization of the rotor geometry of the line-start permanent magnet synchronous motor by the use of particle swarm optimization,” COMPEL Int. J. Comput. Math. Electr. Electron. Eng., vol. 34, no. 3, pp. 882–892, 2015. DOI: 10.1108/COMPEL-10-2014-0276.
   Web of Science ®Google Scholar
• A. M. Sharaf, A. A. El and A. Gammal, “Multi‐objective PSO/GA optimization control strategies for energy efficient PMDC motor drives,” Euro. Trans. Electr. Power, vol. 21, no. 8, pp. 2080–2097, 2011. ‐ DOI: 10.1002/etep.543.
   Google Scholar
• P. N. Thanh, M. Y. Cho and T. N. Da, “Insulator leakage current prediction using surface spark discharge data and particle swarm optimization based neural network,” Electr. Power Syst. Res., vol. 191, pp. 106888, 2021. DOI: 10.1016/j.epsr.2020.106888.
   Web of Science ®Google Scholar
• Y. Zhou, J. Wu, L. Ji, Z. Yu, K. Lin and L. Hao, “Transient stability preventive control of power systems using chaotic particle swarm optimization combined with two-stage support vector machine,” Electr. Power Syst. Res., vol. 155, pp. 111–120, 2018. DOI: 10.1016/j.epsr.2017.10.007.
   Web of Science ®Google Scholar
• S. Haghighatnia and H. T. Shandiz, “Design of nonlinear conformable fractional-order sliding mode controller for a class of nonlinear systems,” J. Control Autom. Electr. Syst., vol. 30, no. 5, pp. 622–631, 2019. DOI: 10.1007/s40313-019-00473-y.
   Web of Science ®Google Scholar
• Y. Luo, Y. Chen, H. S. Ahn and Y. Pi, “Fractional order robust control for cogging effect compensation in PMSM position servo systems: Stability analysis and experiments,” Control Eng. Pract., vol. 18, no. 9, pp. 1022–1036, 2010. DOI: 10.1016/j.conengprac.2010.05.005.
   Web of Science ®Google Scholar
• K. Zong, S. Li and X. Lin, “The application of fractional-order PI control algorithm to the PMSM speed-adjusting system,” Int. Conf. Intell. Comput. Springer, pp. 660–669, 2007.
   Google Scholar
• A. Karthikeyan, K. Rajagopal and D. Mathew, “Fractional order nonlinear variable speed and current regulation of a permanent magnet synchronous generator wind turbine system,” Alexandria Eng. J., vol. 57, no. 1, pp. 159–167, 2018. DOI: 10.1016/j.aej.2016.10.003.
   Web of Science ®Google Scholar
• T. Abdeljawad, “On conformable fractional calculus,” J. Comput. Appl. Math., vol. 279, pp. 57–66, 2015. DOI: 10.1016/j.cam.2014.10.016.
   Web of Science ®Google Scholar
• H. Batarfi, J. Losada, J. J. Nieto and W. Shammakh, “Three-point boundary value problems for conformable fractional differential equations,” J. Funct. Spaces, vol. 2015, pp. 1–6, 2015. DOI: 10.1155/2015/706383.
   Web of Science ®Google Scholar
• H. Rezazadeh, M. Eslami, S. A. Taleghani and A. Korkmaz, “A new method for solving conformable fractional coupled viscous Burgers’ equation,” Int. J. Eng. Math. Phys., vol. 1, pp. 1–10, 2019.
   Google Scholar
• Y. Wang, “Dynamic analysis and synchronization of conformable fractional-order chaotic systems,” Eur. Phys. J. Plus, vol. 133, pp. 481, 2018.
   Web of Science ®Google Scholar
• SACE ABB “Technical Application Papers No. 13, Wind power plants: Generalities on wind power plants, Main components of wind turbine,” Theory of Wind Turbines, 2011.
   Google Scholar
• M. F. Khan and M. R. Khan, “Generalized model for investigating the attributes of a six‐phase self‐excited induction generator over a three‐phase variant,” Int. Trans. Electr. Energ. Syst., vol. 28, no. 10, pp. e2600, 2018. DOI: 10.1002/etep.2600.
   Web of Science ®Google Scholar
• M. H. Haque, “Selection of capacitors to regulate voltage of a short-shunt induction generator,” IET Gener. Transm. Distrib., vol. 3, no. 3, pp. 257–265, 2009. DOI: 10.1049/iet-gtd:20080282.
   Web of Science ®Google Scholar
• E. Ilten and M. Demirtas, “Fractional order super-twisting sliding mode observer for sensorless control of induction motor,” COMPEL-Int. J. Comput. Math. Electr. Electron. Eng., vol. 38, no. 2, pp. 878–892, 2019. DOI: 10.1108/COMPEL-08-2018-0306.
   Web of Science ®Google Scholar
• H. Calgan and M. Demirtas, “Design and implementation of fault tolerant fractional order controllers for the output power of self-excited induction generator,” Electr. Eng., vol. 103, no. 5, pp. 2373–2389, 2021. DOI: 10.1007/s00202-021-01242-4.
   Web of Science ®Google Scholar