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

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  • 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
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    References listed on IDEAS

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    1. 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).
    2. 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.
    3. 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.
    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 & Jiang, Weihua, 2006. "Multiple stabilities analysis in a magnetic bearing system with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 789-799.
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    1. 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).
    2. 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).

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