基于响应曲面法的非道路用高压共轨柴油机设计点优化标定

    Optimizing calibration of design points for non-road high pressure common rail diesel engine base on response surface methodology

    • 摘要: 针对柴油机采用高压共轨系统带来标定与优化工作量显著增加的问题,基于Box-Behnken设计与响应面法对处于标定阶段的一款非道路用高压共轨柴油机进行了研究。以该柴油机设计点为例,在最大转矩转速1 600 r/min与额定功率转速2 600 r/min的全负荷工况下,选取主喷油量、预喷油量、主喷正时以及喷油压力4个标定变量为因子,在满足设计指标与相关约束的条件下进行了优化标定。试验结果表明:基于响应曲面法建立的柴油机各二阶响应面回归模型具有良好的准确性和预测能力,决定系数R2、调整决定系数R2 adj以及预测决定系数R2 pred均在0.92以上,试验值与预测值的最大偏差不超过3.07 %;优化之后得出的标定变量组合使得该非道路用高压共轨柴油机的最大转矩达到200.7 N(m,额定功率达到40.1 kW,满足其设计指标,同时有效燃油消耗率、空燃比、最高气缸压力以及最高排气歧管气体温度均在许可的约束范围之内,表明将响应曲面法用于非道路用高压共轨柴油机设计点的优化标定是可行的。

       

      Abstract: Abstract: China Stage III emission standard for diesel engine of non-road mobile machinery has been executed since April 1, 2016. Some manufactures have begun to adopt a high pressure common rail system to cope with this emission regulation. Fuel injection parameters can be adjusted flexibly by using the high pressure common rail system. Therefore, combustion process can be improved. However, it brings the problem of increasing the workload of the calibration and optimization significantly. With the increasing of calibration variables, the calibration combinations will increase exponentially. The traditional calibration method, such as the single variable search method or the single variable sweep method, their calibration results may not be able to make the engine to achieve best performance, especially when the number of calibration parameters is more than two. Nowadays, a majority of optimization calibration methods are using a non-parametric modeling method to fit the calibration model and optimizing the calibration model by using an intelligent optimization algorithm. However, the non-parametric modeling method cannot give the descriptions of the model structure or the model coefficients. Meanwhile, it needs a large number of test data to fit an accurate calibration model. Moreover, the non-parametric modeling method and the intelligent optimization algorithm are both very complex. A polynomial modeling method has a good compromise between complexity and computational efficiency of the model. Therefore, in allusion to the calibration stage of a non-road high pressure common rail diesel engine, 4 calibration variables, i.e., main injection quantity, pilot injection quantity, main injection timing and injection pressure, were chosen as the factors. The non-road diesel engine design index and related constraint parameters were chosen as the responses at the peak torque speed of 1 600 r/min and the rated power speed of 2 600 r/min, respectively. The reasonable factor levels of the design of experiments (DoE) were selected. By using the response surface methodology (RSM) of Box-Behnken design, the DoE matrices were obtained at the engine speed of 1 600 r/min and 2 600 r/min, respectively. Meanwhile, the corresponding test was conducted according to the experiment design. The second order regression models of all the responses were got and evaluated. The interaction effects of the 4 calibration parameters on engine performance were investigated by using the RSM. The corresponding optimization was conducted respectively at the engine speed of 1 600 and 2 600 r/min taking the target torque and target power as the setting target under the principle of the minimum brake specific fuel consumption, the maximum air-to-fuel ratio, the minimum peak cylinder pressure and gas temperature of exhaust manifold. The combination of calibration variables was obtained at 2 engine speeds, and the proposed method was verified by experiments. The results showed that all the quadratic response surface regression models had a good accuracy and a good predictive ability. The determination coefficient R2, the adjusted determination coefficient R2 adj, and the prediction determination coefficient R2 pred were all above 0.92. The maximum error between test value and predicted value was less than 3.07 %. With the optimized calibration parameters, the peak torque and the rated power of the non-road high pressure common rail diesel engine reached 200.7 N(m and 40.1 kW, respectively. The engine achieved the design index, and moreover, the brake specific fuel consumption, air-to-fuel ratio, peak cylinder pressure, and gas temperature of exhaust manifold were all under the range of acceptance. It is feasible to optimize the diesel engine design point by using the RSM.

       

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