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Kalman filter-based estimation method for degraded high-pressure common rail system

Author

Listed:
  • Liu, Bingxin
  • Fei, Hongzi
  • Wang, Liuping
  • Li, Xiongqin
  • Yuan, Zhiguo
  • Fan, Liyun
  • Wang, Jifang

Abstract

Fuel injection characteristics are crucial parameters influencing engine performance. Over prolonged operation, components of common rail systems may gradually degrade, leading to abnormal injection performance. Real-time acquisition of injection information is essential for timely optimizing injection strategies. This study presents an adaptive estimation method based on the Kalman filter using rail pressure fluctuations to enable real-time injection perception throughout the lifecycle. A degradation factor is introduced to quantify the impact of structural degradation on injection characteristics. Considering degradation's slow-varying nature, a nonlinear time-varying state-space model is constructed with rail pressure and degradation factor as output variables, ensuring both observability and feasibility. Due to the multi-rate sampling of these outputs, a dual time-scale extended Kalman filter is designed, and a sequential update strategy is incorporated to further reduce complexity by eliminating matrix inversion. Simulations investigate the effects of various degradation modes and levels on injection rate and verify the method's effectiveness. Results show that the proposed method accurately estimates injection rate and injection volume, with estimation errors below 3.5 % and strong adaptability in coupled degradation scenarios. Experimental validation with a different type of injector and rail pipe further confirms the method's generalizability and practical value for real-time monitoring and health assessment.

Suggested Citation

  • Liu, Bingxin & Fei, Hongzi & Wang, Liuping & Li, Xiongqin & Yuan, Zhiguo & Fan, Liyun & Wang, Jifang, 2025. "Kalman filter-based estimation method for degraded high-pressure common rail system," Energy, Elsevier, vol. 325(C).
    • Handle: RePEc:eee:energy:v:325:y:2025:i:c:s0360544225018705
    DOI: 10.1016/j.energy.2025.136228
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    References listed on IDEAS

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    1. Lu, Xiangdong & Zhao, Jianhui & Markov, Vladimir & Wu, Tianyu, 2024. "Study on precise fuel injection under multiple injections of high pressure common rail system based on deep learning," Energy, Elsevier, vol. 307(C).
    2. Pastor, José V. & Micó, Carlos & Lewiski, Felipe & Bin-Khalid, Usama, 2024. "Evaluation of the ducted fuel injection concept for medium duty engines and multi-hole nozzles: An optical analysis," Applied Energy, Elsevier, vol. 376(PB).
    3. Shin, Jisoo & Park, Sungwook, 2024. "Numerical analysis and optimization of combustion and emissions in an ammonia-diesel dual-fuel engine using an ammonia direct injection strategy," Energy, Elsevier, vol. 289(C).
    4. Alessandro Ferrari & Simona Gurrì & Oscar Vento, 2024. "Injected Fuel Mass and Flow Rate Control in Internal Combustion Engines: A Systematic Literature Review," Energies, MDPI, vol. 17(24), pages 1-37, December.
    5. Lu, Gangao & Wang, Zuoqun & Fan, Liyun & Gu, Yuanqi & Xu, Jianxin & Wu, Yuelin & Xiao, Youhong, 2024. "Research on the pressure fluctuations and hydraulic resonance phenomena in the high-pressure pipelines of marine common rail systems," Energy, Elsevier, vol. 313(C).
    6. Soriano, J.A. & Mata, C. & Armas, O. & Ávila, C., 2018. "A zero-dimensional model to simulate injection rate from first generation common rail diesel injectors under thermodynamic diagnosis," Energy, Elsevier, vol. 158(C), pages 845-858.
    7. Han, Dong & Zhai, Jiaqi & Duan, Yaozong & Wang, Chunhai & Huang, Zhen, 2018. "Nozzle effects on the injection characteristics of diesel and gasoline blends on a common rail system," Energy, Elsevier, vol. 153(C), pages 223-230.
    8. Ferrari, A. & Novara, C. & Paolucci, E. & Vento, O. & Violante, M. & Zhang, T., 2018. "Design and rapid prototyping of a closed-loop control strategy of the injected mass for the reduction of CO2, combustion noise and pollutant emissions in diesel engines," Applied Energy, Elsevier, vol. 232(C), pages 358-367.
    9. Liu, Bingxin & Fei, Hongzi & Wang, Liuping & Fan, Liyun & Yang, Xiaotao, 2024. "Real-time estimation of fuel injection rate and injection volume in high-pressure common rail systems," Energy, Elsevier, vol. 298(C).
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