Evaluation of torque estimation using gray-box and physical crankshaft modeling

Kallenberger, Christoph; Hamedovic, Haris; Zoubir, Abdelhak M.

doi:10.1109/icassp.2008.4517913

Cited by 8 publications

(4 citation statements)

References 7 publications

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“…The derivatives of the crank-shaft angle is required to calculate the torque estimation with (7). This fact implies we need some differentiator.…”

Section: Torque Estimation Based On a Nonlinear Modelmentioning

confidence: 99%

“…In this viewpoint, Hirahara used a precise nonlinear model with the torsional displacement at the crank-shaft and achieved good estimation of the engine torque up to 2000 [rpm]. Kallenberger [7] had also studied along the similar way to estimate the engine torque in consideration of a twist of the crankshaft. But his model is simple comparatively to estimate the engine torque.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A model-based torque estimation for combusion engines and experimental verification

Ito

Iwase

Sadahiro

et al. 2010

2010 IEEE International Conference on Control Applications

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The torque estimation of combustion engines is important for detection of abnormal combustion and misfiring in cylinders. If pressure sensors were available for pressure measurement at each cylinder, the torque estimation would be easier, but those sensors, however, cannot be used generally from cost and spacial viewpoints. Hence this paper considers a torque estimation method using the crank-shaft angle information, which can be used even for commercial cars, instead of pressure sensors. A problem caused by the crankshaft angle is that unexpected vibrations contaminating the angle information, whose frequencies are relatively close to the combustion period, deteriorate the torque-estimation accuracy especially in high engine speed case. This paper focuses on improvement of the estimation accuracy by paying attention to differentiation of the angle with such vibration.

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“…The derivatives of the crank-shaft angle is required to calculate the torque estimation with (7). This fact implies we need some differentiator.…”

Section: Torque Estimation Based On a Nonlinear Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A model-based torque estimation for combusion engines and experimental verification

Ito

Iwase

Sadahiro

et al. 2010

2010 IEEE International Conference on Control Applications

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show abstract

“…However, dynamic response of the shafting caused by variation in excitation torques is superimposed changing the character of angular speed variations. Detailed models of elastic engine shafting for both speed and gas pressure torque prediction are widely used [8,[26][27][28], but issues related to insufficiently accurate prediction was reported as well, and addressed to some level of imbalance in friction modelling and neglecting auxiliaries powertrain [8,26]. The wealth of literature, however, references simplified Single Degree of Freedom (1-DoF) [9][10][11][12][13][14][29][30][31] or 2-DoF rigid body dynamic models [32].…”

Section: Engine Dynamic and Friction Modelmentioning

confidence: 99%

Possibilities to identify engine combustion model parameters by analysis of the instantaneous crankshaft angular speed

Popović¹,

Tomic

2014

THERM SCI

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In this paper, novel method for obtaining information about combustion process in individual cylinders of a multi-cylinder spark ignition engine based on instantaneous crankshaft angular velocity is presented. The method is based on robust box constrained Levenberg-Marquardt minimization of non-linear least squares given for measured and simulated instantaneous crankshaft angular speed which is determined from the solution of the engine dynamics torque balance equation. Combination of in-house developed comprehensive zero-dimensional two-zone spark ignition engine combustion model and analytical friction loss model in angular domain have been applied to provide sensitivity and error analysis regardingWiebe combustion model parameters, heat transfer coefficient, and compression ratio. The analysis is employed to evaluate the basic starting assumption and possibility to provide reliable combustion analysis based on instantaneous engine crankshaft angular speed.

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“…However, this requires complicated signal and computational processing and is unsuitable for online applications in the engine control unit (ECU). The third approach is to use crankshaft dynamic models, which can be expressed in the torque balance equation [21][22][23][24][25]. The crankshaft dynamics model can be divided into two categories: A rigid model and an elastic model [26].…”

Section: Introductionmentioning

confidence: 99%

A Control-Oriented Engine Torque Online Estimation Approach for Gasoline Engines Based on In-Cycle Crankshaft Speed Dynamics

et al. 2019

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Engine brake torque is a key feedback variable for the optimal torque split control of an engine–motor hybrid powertrain system. Due to the limitations in available sensors, however, engine torque is difficult to measure directly. For torque estimation, the unknown external load torque and the overlap of the expansion stroke between cylinders introduce a great disturbance to engine speed dynamics. This makes the conventional cycle average engine speed-based estimation approach unusable. In this article, an in-cycle crankshaft speed-based indicated torque estimation approach is proposed for a four-cylinder engine. First, a unique crankshaft angle window is selected for load torque estimation without the influence of combustion torque. Then, an in-cycle angle-domain crankshaft speed dynamic model is developed for engine indicated torque estimation. To account for the effects of model inaccuracy and unknown external disturbances, a “total disturbance” term is introduced. The total disturbance is then estimated by an adaptive observer using the engine’s historical operating data. Finally, a real-time correction method for the friction torque is proposed in the fuel cut-off scenario. Combining the aforementioned torque estimators, the brake torque can be obtained. The proposed algorithm is implemented in an in-house developed multi-core engine control unit (ECU). Experimental validation results on an engine test bench show that the algorithm’s execution time is about 3.2 ms, and the estimation error of the brake torque is within 5%. Therefore, the proposed method is a promising way to accurately estimate engine torque in real-time.

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Evaluation of torque estimation using gray-box and physical crankshaft modeling

Cited by 8 publications

References 7 publications

A model-based torque estimation for combusion engines and experimental verification

A model-based torque estimation for combusion engines and experimental verification

Possibilities to identify engine combustion model parameters by analysis of the instantaneous crankshaft angular speed

A Control-Oriented Engine Torque Online Estimation Approach for Gasoline Engines Based on In-Cycle Crankshaft Speed Dynamics

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