拖拉机液压传动系统特性模型修正与参数辨识

    Model modification and parameter identification of tractor hydraulic transmission system characteristics

    • 摘要: 精准描述无级变速系统特性是拖拉机动力装置设计和控制策略制定的前提,是节能减排和动力提高的关键。为解决拖拉机常用无级变速系统特性随工况变化而导致原理论模型精度受限问题,该研究对受工况影响最为显著的液压传动系统的调速和效率特性进行研究。采用台架试验获取液压传动系统特性的样本数据,基于偏最小二乘法对比不同工况对调速和效率特性的影响,结合原理论模型和改进的模拟退火算法,提出液压传动系统特性的模型修正及其参数辨识方法,并分别建立调速特性和效率特性的改进半经验模型。结果表明,输入转速和输出端负载转矩对调速特性的影响程度分别为0.36和0.92;输入转速、输出端负载转矩和排量比对效率特性的影响程度分别为0.05、0.71和0.26;修正后模型参数较少,辨识容易,且精度高,估测值与实际值基本吻合(2参数调速特性半经验模型的决定系数R2为0.97、平均绝对百分比误差为7.93%,5参数效率特性半经验模型的决定系数R2为0.93、平均绝对百分比误差为2.50%)。研究以期为拖拉机等农业机械的动力传动装置的特性分析与评估、优化设计和控制策略制定提供依据和参考。

       

      Abstract: An accurate identification of a continuously variable transmission (CVT) system can greatly contribute to the tractor power device and the control strategy, particularly to the energy saving and emission reduction for the power improvement. This study aims to improve the accuracy of the theoretical model, due to the variation of the characteristics for the common continuously variable speed system with the working conditions. Taking hydrostatic transmission (HST) and hydro-mechanical continuously variable transmission (HMCVT) as the research objects, the speed regulation and efficiency characteristics of the hydraulic transmission system were determined under the working conditions (including engine speed, output load torque, and displacement ratio). The full-factor test was adopted to comprehensively analyze the hydraulic transmission system characteristics. Among them, the engine speed, output load torque, and displacement ratio were set at the 3-, 11-, and 5-levels, respectively. The samples of hydraulic transmission system characteristics were obtained by the bench test (including the test sample data of speed regulation characteristics and efficiency characteristics). The test bench was mainly composed of the variable pump, constant motor, diesel engine, wet clutch, several groups of gear devices and transmission shafts, as well as the speed torque sensors and the load device. Before that, the basic performance of the test bench was tested by the variable pump displacement ratio adjustment test (Test 1) and wet clutch test (Test 2). The influence degree of working conditions was compared using the partial least squares (PLS) method. Furthermore, the parameter identification and model correction of the hydraulic transmission system characteristics were proposed to combine the original theoretical model with the improved simulated annealing (I-SA). The simulated annealing was used as the inner cycle to construct the outer cycle. The disturbance number of the simulated annealing was improved to introduce an adaptive variation function. The results show that the speed regulation characteristics were closely related to the displacement ratio, depending mainly on the load torque, according to the bench test data from the hydraulic transmission system. PLS analysis showed that the influence degrees of the engine speed and output load torque (absolute value) were 0.36 and 0.92, respectively. The revised characteristics model of hydraulic transmission system speed regulation was the optimal combination of the original theoretical model and the first-order linear model of load torque. The accuracy of the revised model was significantly improved (34.41%) than before. The efficiency characteristics were mainly related to the displacement ratio and load torque, according to the bench test data of efficiency characteristics for the hydraulic transmission system. Among them, the influence degrees (absolute value) of the engine speed, output load torque, and displacement ratio were 0.05, 0.71, and 0.26, respectively. There was the limited accuracy of the original 6-parameter theoretical model (the mean absolute percentage error about 4.76%, and R2 about 0.70) after parameter identification, indicating the different overall change from the actual measurement. By contrast, the new semi-empirical modified model can be expected to effectively modify the original theoretical model. The mean absolute percentage error of the newly-developed 5-parameter semi-empirical modified model was improved by 47.48% than before, where the R2 was 0.93 (improved by 32.86%). The characterization of the new model was highly consistent with the actual measured values. Specifically, there was a large value in the conditions of large displacement and large load, indicating a divergent decline in the conditions of medium or small displacement and load, i.e., the gradually increased decline. Therefore, the I-SA algorithm can be expected to effectively serve as the engineering practice by introducing the outer cycle and the adaptive change of disturbance number. The reasonable design and control strategy can then be achieved in the correct speed regulation and efficiency characteristics model for the better performance of the tractor CVT system.

       

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