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Modeling and Semi-Analytic Stability Analysis for Dynamics of AC Machines

Author

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  • Mohamed El-Borhamy

    (Department of Engineering Mathematics and Physics, Faculty of Engineering, University of Tanta, Tanta 31527, Egypt
    Department of Basic Sciences, Higher Future Institute of Engineering and Technology, Mansoura 35511, Egypt)

  • Essam Eddin M. Rashad

    (Department of Electrical Power and Machines Engineering, Faculty of Engineering, University of Tanta, Tanta 31527, Egypt)

  • Ismail Sobhy

    (Department of Engineering Mathematics and Physics, Faculty of Engineering, University of Kafrelsheikh, Kafr El-Sheikh 33516, Egypt)

  • M. Kamel El-Sayed

    (Department of Basic Sciences, Higher Institute of Engineering and Technology, Kafr El-Sheikh 33511, Egypt)

Abstract

In this article, a semi-analytical technique is proposed to predict stable sustained periodic responses of AC electrical machines. Based on such desired outputs, the proper selections of machine variables are captured, such as the perturbation parameter arisen from the relative movement between the stationary and rotating parts. Compared to the experimental results, the derived analytical results are relatively well-fitted with the studied practical cases.

Suggested Citation

  • Mohamed El-Borhamy & Essam Eddin M. Rashad & Ismail Sobhy & M. Kamel El-Sayed, 2021. "Modeling and Semi-Analytic Stability Analysis for Dynamics of AC Machines," Mathematics, MDPI, vol. 9(6), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:644-:d:519360
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    References listed on IDEAS

    as
    1. Julia Tholath Jose & Adhir Baran Chattopadhyay, 2020. "Mathematical Formulation of Feedback Linearizing Control of Doubly Fed Induction Generator Including Magnetic Saturation Effects," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, February.
    2. Hongchang Ding & Xiaobin Gong & Yuchun Gong, 2020. "Estimation of Rotor Temperature of Permanent Magnet Synchronous Motor Based on Model Reference Fuzzy Adaptive Control," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, April.
    3. Kaiyuan Hou & Zeyu Li & Lei Chen & Deming Xia & Qun Li & Yong Xiao, 2020. "Steady-State Stability of Sending-End System with Mixed Synchronous Generator and Power-Electronic-Interfaced Renewable Energy," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, April.
    4. Nicolae Herisanu & Vasile Marinca & Gheorghe Madescu & Florin Dragan, 2019. "Dynamic Response of a Permanent Magnet Synchronous Generator to a Wind Gust," Energies, MDPI, vol. 12(5), pages 1-11, March.
    5. Miaoying Zhang & Fan Xiao & Rui Shao & Zhaojun Deng, 2020. "Robust Fault Detection for Permanent-Magnet Synchronous Motor via Adaptive Sliding-Mode Observer," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-6, April.
    6. Mohamed El-Borhamy & Tamer Medhat & Manal E. Ali & Eric Campos, 2021. "Chaos Prediction in Fractional Delayed Energy-Based Models of Capital Accumulation," Complexity, Hindawi, vol. 2021, pages 1-14, March.
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    Cited by:

    1. Mario Versaci, 2022. "Preface to the Special Issue “Mathematical Modeling in Industrial Engineering and Electrical Engineering”—Special Issue Book," Mathematics, MDPI, vol. 10(21), pages 1-5, October.

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