A Neural Network Approach for Reconstructing In-Cylinder Pressure from Engine Vibration Data

Abstract

In this work neural network models are used to reconstruct incylinder pressure from a vibration signal measured from the engine surface by a low-cost accelerometer. Using accelerometers to capture engine combustion is a cost-effective approach due to their low price and flexibility. The paper describes a virtual sensor that re-constructs the in-cylinder pressure and some of its key parameters by using the engine vibration data as input. The vibration and cylinder pressure data have been processed before the neural network model training. Additionally, the correlation between the vibration and in-cylinder pressure data is analyzed to show that the vibration signal is a good input to model the cylinder pressure.The approach is validated on a RON95 single cylinder research engine realizing homogeneous charge compression ignition (HCCI). The experimental matrix covers multiple load/rpm steady-state operating points with different start of injection and lambda setpoints. A radial basis function (RBF) neural network model was first trained with a series of two operating points at low loads with data of 1000 consecutive combustion cycles, to build the needed nonlinear mapping. The results show that the developed neural network model is capable of reconstructing in-cylinder pressure at low loads with good accuracy. The error for combustion parameter such as maximum cylinder pressure did not exceed 5%. The approach is further validated with another series of operating points consisting of both low loads and high loads. However, the results in this case deteriorated. Changing the neural network model to generalized regression (GR) improved the incylinder pressure reconstruction quality. The performance of the models was also considered in terms of combustion parameters, such as maximum pressure and mass burned fraction. The paper concludes that vibration signal carries sufficient information to estimate combustion parameters independently on the engine platform or combustion concept.

An Analytical Approach to Converting Vibration Signal to Combustion Characteristics of Homogeneous Charge Compression Ignition Engines

“…Notably, peak HRR or PRR values that are relevant for establishing operational limits are extremely difficult to capture in HCCI due to their rapid and random nature. For vibrationbased methods, the state-of-the-art accuracy in this respect does not exceed 50% [39].…”

“…However, the phenomenological complexity of the combustion and the nonlinearities associated with it render purely data-driven vibroacoustic combustion estimation approaches, commonly proposed for CI engines, ineffective for LTC applications (refer to Table 1). Limited works that proposed such an approach for HCCI, using a full operational envelope test matrix, were bearly able to predict the combustion onset with errors below 4 CA [37,39]. Notably, peak HRR or PRR values that are relevant for establishing operational limits are extremely difficult to capture in HCCI due to their rapid and random nature.…”

“…The absolute-level accuracy of the CA50 determination was not analysed and the method was considered valid by the successful control application. Recently, Nguyen et al [39] tested HCCI in-cylinder pressure reconstruction from vibration acceleration using ANN. The initial tests resulted in deteriorating accuracy outside the neural network training matrix.…”