Synthesis of two-mass electromechanical systems with cascade connection of fractional-order controllers
DOI:
https://doi.org/10.15587/1729-4061.2023.293206Keywords:
two-mass electromechanical system, fractional-order controllers, fire liftAbstract
The research focused on two-mass electromechanical systems widely utilized in industry. The challenge addressed in this work was to improve the synthesis of controllers for such systems to simplify it and enhance the quality of transition processes. Traditionally, the synthesis of control system loops for these systems was carried out using integer controllers and standard forms. However, this approach led to the synthesis of complex integer controllers that are difficult to implement. To overcome this issue, an original approach to the synthesis of control system loops based on the fractional characteristic polynomial is proposed. The fractional characteristic polynomial ensures the desired quality of the transition process given the implementation of a specified structure of the fractional controller. A new method of structural-parametric synthesis of fractional-order controllers is developed for the case of their cascade connection in multi-loop two-mass electromechanical systems. Additionally, an algorithm for synthesizing fractional-order controllers for the corresponding control loops is presented. This enabled the structural-parametric synthesis of fractional-order controllers for a two-mass electromechanical system with the cascade connection of controllers. Such an approach provides better quality of transition processes compared to classical integer controllers, simplifies the synthesis, and thereby enhances the quality of the synthesized systems. The impact of the synthesized fractional-order controllers using the proposed approach on the dynamic properties of the two-mass «thyristor converter – motor» system was investigated. The research results demonstrated the practical applicability of fractional controllers designed using the proposed method for the synthesis of automatic control systems of two-mass electromechanical systems in the industry.
References
- Rusek, A., Shchur, I., Lis, M., Klatow, K., Gastolek, A., Sosnowski, J. (2015). Mathematical model for analysis of dynamical states of a drive system containing rolling mill and roller table including the selected parameters of a rolling process. 2015 16th International Scientific Conference on Electric Power Engineering (EPE). doi: https://doi.org/10.1109/epe.2015.7161122
- Kuznetsov, B., Bovdui, I., Nikitina, T., Kolomiets, V., Kobylianskyi, B. (2020). Multiobjective Parametric Synthesis of Robust Control by Rolling Mills Main Electric Drives. 2020 IEEE Problems of Automated Electrodrive. Theory and Practice (PAEP). doi: https://doi.org/10.1109/paep49887.2020.9240860
- Pan, Z., Feng, Y., Bu, F., Zhang, D., Lu, Y., Yang, Z. (2020). Anti-Impact Strategy of PMSM-Based Tension Control System for Flexible Rope Applications. 2020 XI International Conference on Electrical Power Drive Systems (ICEPDS). doi: https://doi.org/10.1109/icepds47235.2020.9249359
- Ramirez A., G., Valenzuela, M. A., Pittman, S., Lorenz, R. D. (2019). Modeling and Evaluation of Paper Machine Coater Sections Part 1: 1-Coater Section and Tension Setpoints. IEEE Transactions on Industry Applications, 55 (2), 2144–2154. doi: https://doi.org/10.1109/tia.2018.2878689
- Marushchak, Ya. Yu. (2005). Syntez elektromekhanichnykh system z poslidovnym ta paralelnym korehuvanniam. Lviv: NU LP, 208.
- 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
- Kopchak, B., Kushnir, A., Kravets, I. (2018). Synthesis of fractional order controllers for multi-lupp control structure of fire lift basket turning. Fire Safety, 33, 65–72. doi: https://doi.org/10.32447/20786662.33.2018.09
- Lozynskyy, A., Chaban, A., Perzyński, T., Szafraniec, A., Kasha, L. (2021). Application of Fractional-Order Calculus to Improve the Mathematical Model of a Two-Mass System with a Long Shaft. Energies, 14 (7), 1854. doi: https://doi.org/10.3390/en14071854
- Arya, P. P., Chakrabarty, S. (2020). A Robust Internal Model-Based Fractional Order Controller for Fractional Order Plus Time Delay Processes. IEEE Control Systems Letters, 4 (4), 862–867. doi: https://doi.org/10.1109/lcsys.2020.2994606
- Yumuk, E., Güzelkaya, M., Eksin, İ. (2020). Optimal fractional‐order controller design using direct synthesis method. IET Control Theory & Applications, 14 (18), 2960–2967. doi: https://doi.org/10.1049/iet-cta.2020.0596
- Xu, S., Sun, G., Cheng, Z. (2017). Fractional order modeling and residual vibration suppression for flexible two-mass system. 2017 29th Chinese Control And Decision Conference (CCDC). doi: https://doi.org/10.1109/ccdc.2017.7979140
- Lozynskyy, A., Lozynskyy, O., Kasha, L., Holovach, I. (2020). Analysis Of Fractional Derivatives And Integrals Application with Caputo-Fabrizio Operator In Electromechanical Systems. 2020 IEEE 21st International Conference on Computational Problems of Electrical Engineering (CPEE). doi: https://doi.org/10.1109/cpee50798.2020.9238749
- Erenturk, K. (2013). Fractional-Order PIλDμ and Active Disturbance Rejection Control of Nonlinear Two-Mass Drive System. IEEE Transactions on Industrial Electronics, 60 (9), 3806–3813. doi: https://doi.org/10.1109/tie.2012.2207660
- Pradeep, M., Sharmila, B., Devasena, D., Srinivasan, K. (2018). PID and PIλDμ Controller Implementation for Speed Control Analysis of Two Mass Drive System. 2018 International Conference on Communication and Signal Processing (ICCSP). doi: https://doi.org/10.1109/iccsp.2018.8524203
- Dzieliński, A., Sierociuk, D., Sarwas, G. (2010). Some applications of fractional order calculus. Bulletin of the Polish Academy of Sciences: Technical Sciences, 58 (4). doi: https://doi.org/10.2478/v10175-010-0059-6
- Calderon, A. J., Vinagre, B. M., Feliu, V. (2003). Fractional sliding mode control of a DC-DC buck converter with application to DC motor drives. In Proceedings of ICAR 2003 The 11th International Conference on Advanced Robotics, 252–257. Available at: https://www.researchgate.net/profile/Antonio-Calderon-4/publication/228914186_Fractional_sliding_mode_control_of_a_DC-DC_buck_converter_with_application_to_DC_motor_drives/links/53f1d6540cf2711e0c4606de/Fractional-sliding-mode-control-of-a-DC-DC-buck-converter-with-application-to-DC-motor-drives.pdf
- 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
How to Cite
Issue
Section
License
Copyright (c) 2023 Bohdan Kopchak, Andrii Kushnir, Inna Onoshko, Sergiy Vovk
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.