面向控制的连续可变凸轮相位调节系统建模
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摘要
建立了汽油机连续可变凸轮相位(CVCP)调节系统的Hammerstein模型,其中相位器的动态线性模型基于力矩平衡方程和动态流量连续性方程建立,机油控制阀(OCV)的静态非线性模型根据压力-流量特性图建立,并利用Matlab/Simulink工具构建面向控制的图形化模型。在可变气门正时(VVT)系统试验台上进行不同机油温度下的开环控制试验,利用不同幅值和方向的相位角阶跃响应测量数据对模型进行检验。结果表明,所有试验条件下模型拟合度高于98%,均方根误差小于±1°。
A Hammerstein model of continuously variable cam phase adjustment system(CVCP model)for gasoline engines was built,of which a dynamic linear model of the phaser was constructed based on the moment balance equation and dynamic flow continuity equation,a nonlinear static model of the oil control valve(OCV)was established according to the pressure-flow characteristics map,and a control-oriented graphical model was set up using the Matlab/Simulink tools.Open-loop control tests were conducted at different oil temperatures on a variable valve timing(VVT)system test bench,and the CVCP model was verified using the phase-angle step response measurement data of different amplitudes and directions.The results show that the fitting degree of the CVCP model is higher than 98% under all the experimental conditions and the root mean square error is less than ±1°.
A Hammerstein model of continuously variable cam phase adjustment system(CVCP model)for gasoline engines was built,of which a dynamic linear model of the phaser was constructed based on the moment balance equation and dynamic flow continuity equation,a nonlinear static model of the oil control valve(OCV)was established according to the pressure-flow characteristics map,and a control-oriented graphical model was set up using the Matlab/Simulink tools.Open-loop control tests were conducted at different oil temperatures on a variable valve timing(VVT)system test bench,and the CVCP model was verified using the phase-angle step response measurement data of different amplitudes and directions.The results show that the fitting degree of the CVCP model is higher than 98% under all the experimental conditions and the root mean square error is less than ±1°.
引文
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[2]KARNIK A Y,JANKOVIC M J,SHELBY M H.Scavenging in a turbocharged gasoline engine[J].International Journal of Powertrains,2012,1(4):420-437.
[3]刘青林,何博,滕勤.高效Atkinson循环TGDI发动机作为传统动力的研究[J].内燃机工程,2017,38(6):131-138.LIU Q L,HE B,TENG Q.Research on highly efficient turbocharged direct injection engine with the Atkinson cycle for traditional vehicle[J].Chinese Internal Combustion Engine Engineering,2017,38(6):131-138.
[4]OUYANG X,TENG H,LUO X,et al.A comparative study on influence of EIVC and LIVC on fuel economy of a TGDIengine part I:friction torques of intake cams with different profiles and lifts[C/OL].SAE Paper,2017,2017-01-2245.(2017-10-08).https://doi.org/10.4271/2017-01-2245.
[5]ASTARITA M,CARACENI A,CIOFFI V,et al.Virtual testing and design of experiments for functional validation of cam phaser control[C/OL].SAE Paper,2004,2004-01-0785.(2004-03-08).https://doi.org/10.4271/2004-01-0785.
[6]姚春德,刘小平,黄钰.连续可变凸轮相位器系统的仿真设计研究[J].系统仿真学报,2007,19(15):3550-3553.YAO C D,LIU X P,HUANG Y.Simulating study of continuously variable cam phaser system[J].Journal of System Simulation,2007,19(15):3550-3553.
[7]LEE J,CHANG H J.Multi-parametric model predictive control for variable valve timing[C]//Jeju:17th International Conference on Control,2017.
[8]REN Z,ZHU G M.Integrated system ID and control design for an IC engine variable valve timing system[J].Journal of Dynamic Systems,Measurement,and Control,2011,133(2):021012.
[9]WHITE A,REN Z,ZHU G M,et al.Mixed H2/H∞observer-based LPV control of a hydraulic engine cam phasing actuator[J].IEEE Transactions on Control Systems Technology,2011,21(1):229-238.
[10]PFEIFFER J,KULPA M J,SIMPSON K,et al.Averification study for cam phaser position control using robust engineering techniques[C/OL].SAE Paper,2001,2001-01-0777.(2001-03-05).https://doi.org/10.4271/2001-01-0777.
[11]HOSOYA H,YOSHIZAWA H,WATANABE S,et al.Development of new concept control system for valve timing control[C/OL].SAE Paper,2000,2000-01-1226.(2000-03-06).https://doi.org/10.4271/2000-01-1226.
[12]STRANDH P,BENGTSSON J,JOHANSSON R,et al.Variable valve actuation for timing control of a homogeneous charge compression ignition engine[C/OL].SAE Paper,2005,2005-01-0147.(2005-04-11).https://doi.org/10.4271/2005-01-0147.
[13]CORVINO C,ZANASIR.Power-oriented graph in automotive application:VVT modeling on Lamborghini V12engine[C]//Barcelona:20th Mediterranean Conference on Control&Automation(MED),2012.
[14]XIE H,SONG K,HE Y.A hybrid disturbance rejection control solution for variable valve timing system of gasoline engines[J].ISA Transactions,2014,53(4):889-898.
[15]ZHENG L,PLENZLER J.Characterization of engine variable cam phaser fluid dynamics and phasers ability to reject system disturbances[C/OL].SAE Paper,2004,2004-01-1389.(2004-03-08).https://doi.org/10.4271/2004-01-1389.
[16]SUMER E D,WANG Y,FARID M,et al.Adaptive control of an uncertain Hammerstein actuator model in a variable cam timing system[C]//Banff:2017IEEE International Conference on Systems,2017.
[17]胡玉梅,范芳,雷应锋,等.发动机凸轮轴负载扭矩计算及振动控制分析[J].重庆大学学报(自然科学版),2013,36(1):15-21.HU Y M,FAN F,LEI Y F,et al.A valve camshaft load torque calculation and camshaft vibration control analysis[J].Journal of Chongqing University(Natural Science Edition),2013,36(1):15-21.