Real-time Estimation of Instantaneous Speed in Diesel Engines Based on the Extended Kalman Filter

Abstract

The instantaneous speed of diesel engines contains an abundance of information, regarding fuel supply stability and individual cylinder performance. Real-time acquisition of accurate instantaneous speed is crucial for monitoring cylinder-to-cylinder uniformity, diagnosing faults, and enabling precise speed control in marine diesel engines. However, measurement noise distorts the signal, which makes it significantly difficult to monitor the effective information in the actual operation. To address this challenge, this paper proposes a novel real-time filtering method using an extended Kalman filter (EKF). According to the characteristics of crankshaft instantaneous speed of diesel engine, a dedicated state-space model is derived. The EKF utilizes the model to perform real-time feedback and rolling optimization effectively suppressing noise. The performance of the method proposed is validated using both simulated signals and experimental data from a four-cylinder marine diesel engine. Simulation and experimental results demonstrate that the coefficient of determination R² between the estimated and actual speed reaches 99.83%, while the signal-to-noise ratio (SNR) improves by above 10% on average across different operating conditions. This enhancement enables reliable real-time engine state monitoring and control.

Keywords

Marine diesel engine / Crankshaft instantaneous speed / State-space model / Extended kalman filter / Real-time estimation / Noise filtering

References

[1] Cao Y, Wang J, Shen W (2021) High-performance PMSM Self-tuning Speed Control System with A Low-order Adaptive Instantaneous Speed Estimator using A Low-cost Incremental Encoder. Asian Journal of Control: Affiliated with ACPA, the Asian Control Professors, Association 1870–1884. https://doi.org/10.1002/asjc.2346

[2] Chang Y, Hu Y. Monitoring and Fault Diagnosis System for the Diesel Engine Based on Instantaneous Speed. 2010 2nd International Conference on Computer and Automation Engineering (ICCAE), 2010, Singapore, IEEE774778

[3] Kai C, Huang G, Sun J. Implementation and Precision Analysis of Speed Measurement System for Marine Main Engine. Journal of Physics: Conference Series, 2023, 2477(1): 012083

[4] Kallenberger C, Hamedovic H, Zoubir A. Comparison of The Extended Kalman Filter and The Unscented Kalman Filter for Parameter Estimation in Combustion Engines. 2007 15th European Signal Processing Conference, 20072424-2428

[5] Kazienko D, Chybowski L. Instantaneous Rotational Speed Algorithm for Locating Malfunctions in Marine Diesel Engines. Energies, 2020, 13(6): 1396

[6] Lin R, Tan C, Ma L, Joseph M. Condition Monitoring and Fault Diagnosis of Diesel Engines using Instantaneous Angular Speed Analysis. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2015, 229(2304-315

[7] Liu C, Su Y, Zhang C. Design of Motion Attitude Measurement System and Correction Method in Semi-airborne Frequency Domain Electromagnetic Detection. IEEJ Transactions on Electrical and Electronic Engineering, 2024, 19(6): 938-949

[8] Liu Y, Li J, Gong L (2022) Measurement Error of the Instantaneous Speed A/D Sampling Way Influence Factors Analysis. Journal of mechanical design and manufacturing 69–72. https://doi.org/10.19356/j.cnki.1001-3997.2022.06.049. in Chinese

[9] Meng K, Liu Q, Zhang Z. Sensorless HSPMSM Control of An Improved SMC and EKF Based on Immune PSO. Applied Sciences, 2023, 13(22): 12407

[10] Pan F, Zhang Y. The Denoising Method for Transient Speed Signal of Diesel Engine. Advanced Materials Research, 2011, 291–294: 2081-2084

[11] Qian Q, Ting Q, Min L. Monitoring and Diagnosis of Complex Production Process Based on Free Energy of Gaussian–Bernoulli Restricted Boltzmann Machine. Journal of Iron and Steel Research International, 2022, 30(5971-984

[12] Qiao X, Gu C. Research on Wear Status of Diesel Engine Cylinder Based on BP Neural Network and Instantaneous Speed. Journal of Physics: Conference Series, 2019, 1237(5): 052011

[13] Quartullo R, Garulli A, Giannitrapani A. In-cylinder Pressure Estimation from Rotational Speed Measurements via Extended Kalman Filter. Sensors, 2023, 23(94326

[14] Rana R, Gaur P, Agarwal V. Tremor Estimation and Removal in Robot-assisted Surgery using Lie Groups and EKF. Robotica, 2019, 37(111904-1921

[15] Wang L, Guan R. State Feedback Control and Kalman filtering with MATLAB/Simulink Tutorials. IEEE Control Systems, 20221416

[16] Wu L, Fu Y, Li M, Liang G, Zhang Y, Cui Y. The Effects of Material and Structure of Main Bearing Caps on Crankshaft Lubrication of Diesel Engine. International Journal of Engine Research., 2021, 22(4): 1086-1100

[17] Xi T, Cao R, Chen F. Zoom Synchrosqueezing Transform for Instantaneous Speed Estimation of High Speed Spindle. Materials Science Forum, 2016, 836–837: 310-317

[18] Xie L, Sun S, Dong F. The Non-uniformity Control Strategy of A Marine High-speed Diesel Engine Based on Each Cylinder’s Exhaust Temperature. Processes, 2023, 11(4): 1256

[19] Yang K, Zhou L, Gong G. Numerical Algorithms of Marine Diesel Engine Instantaneous Speed Based on Hilbert-Huang Transform. IOP Conference Series: Materials Science and Engineering, 2018, 382: 052001

[20] Yu H, Duan S. Crankshaft Transient Motion Analysis for Marine Diesel Engine. Advanced Materials Research, 2014, 926–930: 773-776

[21] Zerdali E. Adaptive Extended Kalman Filter for Speed-sensorless Control of Induction Motors. IEEE Transactions on Energy Conversion, 2019, 34(2789-800

[22] Zhao J, Chen L. Research on Optimization Method of Instantaneous Speed State Characteristics of Diesel Engine Based on Genetic Algorithm. The 2019 International Conference on Artificial Intelligence and Computer Science (AICS 2019), 2019, New York, NY, USA, ACM394398

[23] Zhao M, Lin J, Liao Y. Instantaneous Rotating Speed Estimation using Adaptive Short-time Chirp-Fourier Transform and its Applications. Journal of Mechanical Engineering, 2015, 51(14): 8-14

[24] Zhang M, Zi Y, Niu L. Intelligent Diagnosis of V-type Marine Diesel Engines Based on Multifeatures Extracted from Instantaneous Crankshaft Speed. IEEE Transactions on Instrumentation and Measurement, 2019, 68(3): 722-740

[25] Zheng T, Yan L, Yi D. Angle Conversion Method of Diesel Engine Based on Instantaneous Speed Signal. Journal of Beijing University of Chemical Technology (Natural Science Edition), 2017, 44(6): 70-75

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Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature

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