IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i18p5692-d632624.html
   My bibliography  Save this article

Mathematical Modelling of Transient Processes in an Asynchronous Drive with a Long Shaft Including Cardan Joints

Author

Listed:
  • Andriy Chaban

    (Faculty of Transport, Electrical Engineering and Computer Science, University of Technology and Humanities in Radom, 26-600 Radom, Poland)

  • Zbigniew Łukasik

    (Faculty of Transport, Electrical Engineering and Computer Science, University of Technology and Humanities in Radom, 26-600 Radom, Poland)

  • Andrzej Popenda

    (Faculty of Electrical Engineering, Częstochowa University of Technology, 42-201 Częstochowa, Poland)

  • Andrzej Szafraniec

    (Faculty of Transport, Electrical Engineering and Computer Science, University of Technology and Humanities in Radom, 26-600 Radom, Poland)

Abstract

Beginning with the classic methods, a mathematical model of an electromechanical system is developed that consists of a deep bar cage induction motor that, via a complex motion transmission with distributed mechanical parameters, drives a working machine, loading the drive system with a constant torque. The electromagnetic field theory serves to create the motor model, which allows addressing the displacement of current in the rotor cage bars. Ordinary and partial differential equations are used to describe the electromechanical processes of energy conversion in the motor. The complex transmission of the drive motion consists of a long shaft with variable geometry cardan joints mounted on its ends. Non-linear electromechanical differential equations are presented as a system of ordinary differential equations combined with a mixed problem of Dirichlet first-type and Poincaré third-type boundary conditions. This system of equations is integrated by discretising partial derivatives by means of the straight-line methods and successive integration as a function of time using the Runge–Kutta fourth-order method. Starting from there, complicated transient processes in the drive system are analysed. Results of computer simulations are presented in the graphic form, which is analysed.

Suggested Citation

  • Andriy Chaban & Zbigniew Łukasik & Andrzej Popenda & Andrzej Szafraniec, 2021. "Mathematical Modelling of Transient Processes in an Asynchronous Drive with a Long Shaft Including Cardan Joints," Energies, MDPI, vol. 14(18), pages 1-17, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:18:p:5692-:d:632624
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/18/5692/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/14/18/5692/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wei Chen & Jiaojiao Liang & Tingna Shi, 2018. "Speed Synchronous Control of Multiple Permanent Magnet Synchronous Motors Based on an Improved Cross-Coupling Structure," Energies, MDPI, vol. 11(2), pages 1-16, January.
    2. Sayed Poorya Rabiei & Reza Azarafza, 2014. "Investigate of Mechanical Fuse in Cardan Shaft Using FEM," Review of Information Engineering and Applications, Conscientia Beam, vol. 1(1), pages 1-10.
    3. Andriy Lozynskyy & Andriy Chaban & Tomasz Perzyński & Andrzej Szafraniec & Lidiia Kasha, 2021. "Application of Fractional-Order Calculus to Improve the Mathematical Model of a Two-Mass System with a Long Shaft," Energies, MDPI, vol. 14(7), pages 1-15, March.
    4. Sayed Poorya Rabiei & Reza Azarafza, 2014. "Investigate of Mechanical Fuse in Cardan Shaft Using FEM," Review of Information Engineering and Applications, Conscientia Beam, vol. 1(1), pages 1-10.
    5. Kanaan, Hadi Youssef & Al-Haddad, Kamal & Roy, Gilles, 2003. "Analysis of the electromechanical vibrations in induction motor drives due to the imperfections of the mechanical transmission system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(3), pages 421-433.
    6. Andrzej Popenda & Marek Lis & Marcjan Nowak & Krzysztof Blecharz, 2020. "Mathematical Modelling of Drive System with an Elastic Coupling Based on Formal Analogy between the Transmission Shaft and the Electric Transmission Line," Energies, MDPI, vol. 13(5), pages 1-14, March.
    7. Gabriel Ekemb & Fouad Slaoui-Hasnaoui & Joseph Song-Manguelle & P. M. Lingom & Issouf Fofana, 2021. "Instantaneous Electromagnetic Torque Components in Synchronous Motors Fed by Load-Commutated Inverters," Energies, MDPI, vol. 14(11), pages 1-25, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Andriy Chaban & Tomasz Perzyński & Andrzej Popenda & Radosław Figura & Vitaliy Levoniuk, 2022. "Mathematical Modeling of Transient Processes in the Susceptible Motion Transmission in a Ship Propulsion System Containing a Shaft Synchronous Generator," Energies, MDPI, vol. 15(9), pages 1-17, April.
    2. Andrzej Popenda & Andrzej Szafraniec & Andriy Chaban, 2021. "Dynamics of Electromechanical Systems Containing Long Elastic Couplings and Safety of Their Operation," Energies, MDPI, vol. 14(23), pages 1-18, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Andrzej Popenda & Andrzej Szafraniec & Andriy Chaban, 2021. "Dynamics of Electromechanical Systems Containing Long Elastic Couplings and Safety of Their Operation," Energies, MDPI, vol. 14(23), pages 1-18, November.
    2. Jacek Kabziński & Przemysław Mosiołek, 2021. "Integrated, Multi-Approach, Adaptive Control of Two-Mass Drive with Nonlinear Damping and Stiffness," Energies, MDPI, vol. 14(17), pages 1-23, September.
    3. Jacek Kabziński & Przemysław Mosiołek, 2022. "Observer-Based, Robust Position Tracking in Two-Mass Drive System," Energies, MDPI, vol. 15(23), pages 1-28, November.
    4. Andriy Chaban & Marek Lis & Andrzej Szafraniec & Radoslaw Jedynak, 2020. "Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft," Energies, MDPI, vol. 14(1), pages 1-17, December.
    5. Karol Wróbel & Kacper Śleszycki & Amanuel Haftu Kahsay & Krzysztof Szabat & Seiichiro Katsura, 2023. "Robust Speed Control of Uncertain Two-Mass System," Energies, MDPI, vol. 16(17), pages 1-17, August.
    6. Yichang Zhong & Shoudao Huang & Derong Luo, 2018. "Stabilization and Speed Control of a Permanent Magnet Synchronous Motor with Dual-Rotating Rotors," Energies, MDPI, vol. 11(10), pages 1-15, October.
    7. Karol Wróbel & Kacper Śleszycki & Krzysztof Szabat & Seiichiro Katsura, 2021. "Application of Multilayer Observer for a Drive System with Flexibility," Energies, MDPI, vol. 14(24), pages 1-19, December.
    8. Piotr Derugo & Krzysztof Szabat & Tomasz Pajchrowski & Krzysztof Zawirski, 2022. "Fuzzy Adaptive Type II Controller for Two-Mass System," Energies, MDPI, vol. 15(2), pages 1-24, January.
    9. Andriy Lozynskyy & Tomasz Perzyński & Jacek Kozyra & Yurii Biletskyi & Lidiia Kasha, 2021. "The Interconnection and Damping Assignment Passivity-Based Control Synthesis via the Optimal Control Method for Electric Vehicle Subsystems," Energies, MDPI, vol. 14(12), pages 1-17, June.
    10. Pascal M. Lingom & Joseph Song-Manguelle & Simon Pierre Betoka-Onyama & Jean Maurice Nyobe-Yome & Mamadou Lamine Doumbia, 2023. "A Power Quality Assessment of Electric Submersible Pumps Fed by Variable Frequency Drives under Normal and Failure Modes," Energies, MDPI, vol. 16(13), pages 1-34, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:14:y:2021:i:18:p:5692-:d:632624. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.