IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v231y2021ics0360544221011543.html
   My bibliography  Save this article

Dynamic behavior and stability of energy efficient electro-magnetic suspension of rotors involving time delay

Author

Listed:
  • Soni, Tukesh
  • Dutt, Jayanta K.
  • Das, A.S.

Abstract

Energy efficient contact less suspension of high-speed rotor shafts in application areas such as power-plants and Flywheel Energy Storage Systems (FESS), can be achieved through Active Magnetic Bearings (AMBs). Inevitably, there exists time delay in sensing the rotor displacement and actual application of control force by electromagnets, thus leading to system instability. This paper therefore analyses stability of AMBs, with constant time delay. FESS is modelled as a rigid rotor-AMB system. Performance of two different control laws, (i) PID and (ii) a recently introduced Four-Element (FE) law, are compared. The governing equations are transformed to frequency domain, to exploit Pade's approximation in modeling time delayed value of feedback signal and stability analysis is carried out by analyzing the system poles. This methodology has been verified using experimental results from the existing literature. Numerical simulation of delay differential equations is also used to validate analytical results. The FE control law shows promise in tolerating delay, as compared to conventional PID controller thus leading to AMB system with higher possible spin speed and relaxed sampling constraints on AMB system instrumentation. One of the prospective applications of this work is in design of flywheel energy storage systems for an electric vehicle.

Suggested Citation

  • Soni, Tukesh & Dutt, Jayanta K. & Das, A.S., 2021. "Dynamic behavior and stability of energy efficient electro-magnetic suspension of rotors involving time delay," Energy, Elsevier, vol. 231(C).
  • Handle: RePEc:eee:energy:v:231:y:2021:i:c:s0360544221011543
    DOI: 10.1016/j.energy.2021.120906
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544221011543
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2021.120906?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jiang, Weihua & Wang, Hongbin & Wei, Junjie, 2008. "A study of singularities for magnetic bearing systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 715-719.
    2. Wang, Hongbin & Jiang, Weihua, 2006. "Multiple stabilities analysis in a magnetic bearing system with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 789-799.
    3. Olabi, A.G. & Onumaegbu, C. & Wilberforce, Tabbi & Ramadan, Mohamad & Abdelkareem, Mohammad Ali & Al – Alami, Abdul Hai, 2021. "Critical review of energy storage systems," Energy, Elsevier, vol. 214(C).
    4. Abdul Ghani Olabi & Tabbi Wilberforce & Mohammad Ali Abdelkareem & Mohamad Ramadan, 2021. "Critical Review of Flywheel Energy Storage System," Energies, MDPI, vol. 14(8), pages 1-33, April.
    5. Wang, Hongbin & Liu, Jiaqi, 2005. "Stability and bifurcation analysis in a magnetic bearing system with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 813-825.
    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. Taler, Dawid & Sobota, Tomasz & Jaremkiewicz, Magdalena & Taler, Jan, 2022. "Control of the temperature in the hot liquid tank by using a digital PID controller considering the random errors of the thermometer indications," Energy, Elsevier, vol. 239(PE).
    2. Chen, Guanpeng & Jiang, Yue & Tang, Yuanjiang & Xu, Xiaojun, 2023. "Pitch stability control of variable wheelbase 6WID unmanned ground vehicle considering tire slip energy loss and energy-saving suspension control," Energy, Elsevier, vol. 264(C).

    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. Cheayb, Mohamad & Marin Gallego, Mylène & Tazerout, Mohand & Poncet, Sébastien, 2022. "A techno-economic analysis of small-scale trigenerative compressed air energy storage system," Energy, Elsevier, vol. 239(PA).
    2. Jānis Krūmiņš & Māris Kļaviņš, 2023. "Investigating the Potential of Nuclear Energy in Achieving a Carbon-Free Energy Future," Energies, MDPI, vol. 16(9), pages 1-31, April.
    3. Ameen, Muhammad Tahir & Ma, Zhiwei & Smallbone, Andrew & Norman, Rose & Roskilly, Anthony Paul, 2023. "Demonstration system of pumped heat energy storage (PHES) and its round-trip efficiency," Applied Energy, Elsevier, vol. 333(C).
    4. Li, Chengchen & Wang, Huanran & He, Xin & Zhang, Yan, 2022. "Experimental and thermodynamic investigation on isothermal performance of large-scaled liquid piston," Energy, Elsevier, vol. 249(C).
    5. Dzido, Aleksandra & Krawczyk, Piotr & Wołowicz, Marcin & Badyda, Krzysztof, 2022. "Comparison of advanced air liquefaction systems in Liquid Air Energy Storage applications," Renewable Energy, Elsevier, vol. 184(C), pages 727-739.
    6. Toufani, Parinaz & Nadar, Emre & Kocaman, Ayse Selin, 2022. "Short-term assessment of pumped hydro energy storage configurations: Up, down, or closed?," Renewable Energy, Elsevier, vol. 201(P1), pages 1086-1095.
    7. Herc, Luka & Pfeifer, Antun & Duić, Neven & Wang, Fei, 2022. "Economic viability of flexibility options for smart energy systems with high penetration of renewable energy," Energy, Elsevier, vol. 252(C).
    8. Liu, Mingyi & Qian, Feng & Mi, Jia & Zuo, Lei, 2022. "Biomechanical energy harvesting for wearable and mobile devices: State-of-the-art and future directions," Applied Energy, Elsevier, vol. 321(C).
    9. Savolainen, Rebecka & Lahdelma, Risto, 2022. "Optimization of renewable energy for buildings with energy storages and 15-minute power balance," Energy, Elsevier, vol. 243(C).
    10. Karaca, Ali Erdogan & Dincer, Ibrahim & Nitefor, Michael, 2023. "A new renewable energy system integrated with compressed air energy storage and multistage desalination," Energy, Elsevier, vol. 268(C).
    11. Lopez-Ruiz, G. & Alava, I. & Blanco, J.M., 2021. "Study on the feasibility of the micromix combustion principle in low NOx H2 burners for domestic and industrial boilers: A numerical approach," Energy, Elsevier, vol. 236(C).
    12. Hilario J. Torres-Herrera & Alexis Lozano-Medina, 2021. "Methodological Proposal for the Assessment Potential of Pumped Hydropower Energy Storage: Case of Gran Canaria Island," Energies, MDPI, vol. 14(12), pages 1-27, June.
    13. Li, Jing & Zuo, Wei & E, Jiaqiang & Zhang, Yuntian & Li, Qingqing & Sun, Ke & Zhou, Kun & Zhang, Guangde, 2022. "Multi-objective optimization of mini U-channel cold plate with SiO2 nanofluid by RSM and NSGA-II," Energy, Elsevier, vol. 242(C).
    14. Alammar, Ahmed A. & Rezk, Ahmed & Alaswad, Abed & Fernando, Julia & Olabi, A.G. & Decker, Stephanie & Ruhumuliza, Joseph & Gasana, Quénan, 2022. "The technical, economic, and environmental feasibility of a bioheat-driven adsorption cooling system for food cold storing: A case study of Rwanda," Energy, Elsevier, vol. 258(C).
    15. Ospina Agudelo, Brian & Zamboni, Walter & Monmasson, Eric, 2021. "Application domain extension of incremental capacity-based battery SoH indicators," Energy, Elsevier, vol. 234(C).
    16. Armenia Androniceanu & Oana Matilda Sabie, 2022. "Overview of Green Energy as a Real Strategic Option for Sustainable Development," Energies, MDPI, vol. 15(22), pages 1-35, November.
    17. Zhang, Aibo & Yin, Zhaoyuan & Wu, Zhiying & Xie, Min & Liu, Yiliu & Yu, Haoshui, 2023. "Investigation of the compressed air energy storage (CAES) system utilizing systems-theoretic process analysis (STPA) towards safe and sustainable energy supply," Renewable Energy, Elsevier, vol. 206(C), pages 1075-1085.
    18. Zhu, Lingfeng & Wang, Yinshun & Guo, Yuetong & Liu, Wei & Hu, Chengyang, 2023. "Current decay and compensation of a closed-loop HTS magnet in non-uniform magnetic fields based on electro-magneto-thermal semi-analytical analysis," Energy, Elsevier, vol. 277(C).
    19. Lin Hu & Xianzhi Xu, 2023. "Current Pulse-Based Measurement Technique for Zinc–Air Battery Parameters," Energies, MDPI, vol. 16(18), pages 1-17, September.
    20. Abdul Ghani Olabi & Enas Taha Sayed & Tabbi Wilberforce & Aisha Jamal & Abdul Hai Alami & Khaled Elsaid & Shek Mohammod Atiqure Rahman & Sheikh Khaleduzzaman Shah & Mohammad Ali Abdelkareem, 2021. "Metal-Air Batteries—A Review," Energies, MDPI, vol. 14(21), pages 1-46, November.

    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:eee:energy:v:231:y:2021:i:c:s0360544221011543. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    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.