Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.213469

Keywords:

frequency converter, induction motor, fractional order controller, system, parametric synthesis

Abstract

The modern industry is dominated by electric drives of the system frequency converter‒ induction motor, which employ integer-order controllers. Allowing the implementation and adjustment of fractional order controllers in the converter itself greatly expand their capabilities and, therefore, is relevant. This paper reports a procedure for the parametric synthesis of PIλDμ-controllers of fractional order, providing for the use of the desired forms of fractional order, as well as their practical implementation in the system frequency converter–induction motor. In this case, the control object is described by a transfer function of the fractional or integer order, derived on the basis of experimental results. The study results demonstrate the possibility of constructing new, as well as modernizing existing, electromechanical systems involving the fractional-order PIλDμ-controllers with an expanded range of dynamic properties that correspond to the desired forms of fractional order. The procedure for the parametric synthesis of a PIλDμ-controller has been theoretically substantiated, which was confirmed by applying the simulation and during field experiments concerning the system frequency converter–induction motor. The reported procedure is universal because it makes it possible to synthesize the PIλDμ-controller for standard forms of both the integer and fractional orders. It is clear that the range of the desired standard forms in the synthesis process can include all possible known forms, including those of fractional order. The result of this study allows us to argue that it is possible to apply the developed algorithm of actions for those engineering tasks that aim to build such systems for various industrial mechanisms. At the same time, no restrictions are imposed on the transfer function of the control object

Author Biographies

Bohdan Kopchak, Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79013

Doctor of Technical Sciences, Associate Professor

Department of Electromechatronics and Computerized Electromechanical Systems

Yaroslav Marushchak, Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79013

Doctor of Technical Sciences, Professor

Department of Electromechatronics and Computerized Electromechanical Systems

Jaroslaw Zaleski, TWERD Power Electronics Company Ltd. Aleksandrowska str., 28-30, Torun, Poland, 87-100

Master Engineer, Technical Director

References

  1. Marushchak, Y., Kopchak, B. (2015). Synthesis of Automatic Control Systems by Using Binomial and Butterworth Standard Fractional Order Forms. Computational problems of electrical engineering, 5 (2), 89–94.
  2. Lozynskyy, O., Lozynskyy, A., Kopchak, B., Paranchuk, Y., Kalenyuk, P., Marushchak, Y. (2017). Synthesis and research of electromechanical systems described by fractional order transfer functions. 2017 International Conference on Modern Electrical and Energy Systems (MEES). doi: https://doi.org/10.1109/mees.2017.8248877
  3. Kopchak, B., Marushchak, Y., Kushnir, A. (2019). Devising a procedure for the synthesis of electromechanical systems with cascade-enabled fractional-order controllers and their study. Eastern-European Journal of Enterprise Technologies, 5 (2 (101)), 65–71. doi: https://doi.org/10.15587/1729-4061.2019.177320
  4. Kopchak, B. (2015). Synthesis of automatic control systems by a particle swarm optimization method using butterworth fractional standard forms. 2015 16th International Conference on Computational Problems of Electrical Engineering (CPEE). doi: https://doi.org/10.1109/cpee.2015.7333342
  5. Hall, M. (2012). A Cumulative Multi-Niching Genetic Algorithm for Multimodal Function Optimization. International Journal of Advanced Research in Artificial Intelligence, 1 (9), 6–13. doi: https://doi.org/10.14569/ijarai.2012.010902
  6. Malhotra, R., Singh, N., Singh, Y. (2011). Genetic Algorithms: Concepts, Design for Optimization of Process Controllers. Computer and Information Science, 4 (2), 39–54. doi: https://doi.org/10.5539/cis.v4n2p39
  7. Zheng, W., Wang, X., Pi, Y. (2015). Study of the fractional order proportional integral controller for PMSM based on differential evolution algorithm. 2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference (IAEAC). doi: https://doi.org/10.1109/iaeac.2015.7428547
  8. Lino, P., Maione, G., Salvatore, N., Stasi, S. (2016). Fractional-order PI control of PMSM drives in nested loops. Conference: ICFDA 2016 – IEEE International Conference on Fractional Differentiation and its Applications. Novi Sad, 333–342.
  9. Ruszewski, A., Sobolewski, A. (2013). Position control of DC motor using fractional order controller. Archives of Electrical Engineering, 62 (3), 505–516. doi: https://doi.org/10.2478/aee-2013-0041
  10. Leuzzi, R., Lino, P., Maione, G., Stasi, S., Padula, F., Visioli, A. (2014). Combined fractional feedback-feedforward controller design for electrical drives. ICFDA’14 International Conference on Fractional Differentiation and Its Applications 2014. doi: https://doi.org/10.1109/icfda.2014.6967380
  11. Сopot, C., Muresan, C., Keyser, R. (2013). Speed and position control of a dc motor using fractional order PI-PD control. In Proc. 3rd International Conference on Fractional Signals and Systems – FSS 2013. Ghent.
  12. Ahuja, A., Aggarwal, S. (2014). Design of fractional order PID controller for DC motor using evolutionary optimization techniques. WSEAS Transactions on systems and control, 9, 171–182.
  13. Ahuja, A., Tandon, B. (2014). Design of Fractional Order PID controller for dc motor using Genetic Algorithm. TELKOMNIKA Indonesian Journal of Electrical Engineering, 12 (12). doi: https://doi.org/10.11591/telkomnika.v12i12.6470
  14. Bendjedia, M., Tehrani, K. A., Azzouz, Y. (2014). Design of RST and Fractional order PID controllers for an Induction motor drive for Electric Vehicle Application. 7th IET International Conference on Power Electronics, Machines and Drives (PEMD 2014). doi: https://doi.org/10.1049/cp.2014.0445
  15. Kopchak, B. (2017). Approximation accuracy of electromechanical systems high order objects using different types of fractional order transfer functions. 2017 XIIIth International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). doi: https://doi.org/10.1109/memstech.2017.7937544
  16. Kopchak, B., Kopchak, M. (2018). Application of fractional order transfer function with zero and pole in approximation of electromechanical systems high order objects. 2018 XIV-Th International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). doi: https://doi.org/10.1109/memstech.2018.8365694
  17. Burakov, M. V. (2008). Geneticheskiy algoritm: teoriya i praktika. Sankt-Peterburg: GUAP, 164.
  18. Haupt, R. L., Haupt, S. E. (2003). Practical genetic algorithms. John Wiley & Sons. doi: https://doi.org/10.1002/0471671746
  19. Konak, A., Coit, D. W., Smith, A. E. (2006). Multi-objective optimization using genetic algorithms: A tutorial. Reliability Engineering & System Safety, 91 (9), 992–1007. doi: https://doi.org/10.1016/j.ress.2005.11.018
  20. Saleem, A., Soliman, H., Al-Ratrout, S., Mesbah, M. (2018). Design of a fractional order PID controller with application to an induction motor drive. TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCES, 26 (5), 2768–2778. doi: https://doi.org/10.3906/elk-1712-183
  21. Deng, W., Zhao, H., Yang, X., Li, X., Dong, C. (2016). An optimized fractional order PID controller for suppressing vibration of AC motor. Journal of Vibroengineering, 18 (4), 2205–2220. doi: https://doi.org/10.21595/jve.2016.16652
  22. Thammarat, C., Puangdownreong, D. (2019). Design of Fractional Order PID Controller for Induction Motor Speed Control System by Cuckoo Search. International journal of circuits, systems and signal processing, 13, 92–96.
  23. Chang, Y., Wu, C., Lin, H., Hsu, C., Liao, G. (2009). Design of fractional-order PID controller for vector-controlled induction motors. In Proc. of the 9th WSEAS international conference on Robotics, control and manufacturing technology (ROCOM'09). Hangzhou, 142–147.
  24. Kopchak, B. (2016). Development of fractional order differential-integral controller by using Oustaloup transformation. 2016 XII International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). doi: https://doi.org/10.1109/memstech.2016.7507521

Downloads

Published

2020-10-31

How to Cite

Kopchak, B., Marushchak, Y., & Zaleski, J. (2020). Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system. Eastern-European Journal of Enterprise Technologies, 5(2 (107), 57–65. https://doi.org/10.15587/1729-4061.2020.213469