The discrete iterative map models of peak current-mode （PCM） and valley current-mode （VCM） controlled buck converters, boost converters, and buck-boost converters with ramp compensation are established and their d...The discrete iterative map models of peak current-mode （PCM） and valley current-mode （VCM） controlled buck converters, boost converters, and buck-boost converters with ramp compensation are established and their dynamical behaviours are investigated by using the operation region, parameter space map, bifurcation diagram, and Lyapunov exponent spectrum. The research results indicate that ramp compensation extends the stable operation range of the PCM controlled switching dc-dc converter to D 〉 0.5 and that of the VCM controlled switching dc-dc converter to D 〈 0.5. Compared with PCM controlled switching dc-dc converters with ramp compensation, VCM controlled switching dc-dc converters with ramp compensation exhibit interesting symmetrical dynamics. Experimental results are given to verify the analysis results in this paper.展开更多
The work studies model reduction method for nonlinear systems based on proper orthogonal decomposition (POD)and discrete empirical interpolation method (DEIM). Instead of using the classical DEIM to directly approxima...The work studies model reduction method for nonlinear systems based on proper orthogonal decomposition (POD)and discrete empirical interpolation method (DEIM). Instead of using the classical DEIM to directly approximate thenonlinear term of a system, our approach extracts the main part of the nonlinear term with a linear approximation beforeapproximating the residual with the DEIM. We construct the linear term by Taylor series expansion and dynamic modedecomposition (DMD), respectively, so as to obtain a more accurate reconstruction of the nonlinear term. In addition, anovel error prediction model is devised for the POD-DEIM reduced systems by employing neural networks with the aid oferror data. The error model is cheaply computable and can be adopted as a remedy model to enhance the reduction accuracy.Finally, numerical experiments are performed on two nonlinear problems to show the performance of the proposed method.展开更多
针对月壤钻取采样过程中存在大颗粒岩块情况进行三维离散元动态仿真分析。建立考虑扭转、弯曲力矩及等效引力作用的新型三维离散元月壤模型,通过三轴仿真试验进行细观参数标定,得到黏聚力为0.90 k Pa,内摩擦角为42.25°的满足真实...针对月壤钻取采样过程中存在大颗粒岩块情况进行三维离散元动态仿真分析。建立考虑扭转、弯曲力矩及等效引力作用的新型三维离散元月壤模型,通过三轴仿真试验进行细观参数标定,得到黏聚力为0.90 k Pa,内摩擦角为42.25°的满足真实月壤宏观力学指标的仿真模型。针对月壤内层存在大颗粒情况设计4种采样工况分别进行仿真分析,监测大颗粒运动轨迹与采样效率,发现了"旋入效应"、"纵向运移效应"与"阻塞效应",仿真结果表明岩块粒径大小直接影响采样结果:当岩块粒径小于钻头"虚拟切削圆"时,其无论存在于任何位置对采样效率与后续样品缠绕收集均无明显影响;当岩块粒径大于"虚拟切削圆"时,阻塞现象严重,样品收集困难,极易导致采样失败。研究结论对月壤钻取采样控制设计与钻具结构设计具有重要的工程参考价值。展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No.50677056)the Natural Science Foundation of Jiangsu Province,China (Grant No.BK2009105)+1 种基金the Cultivation Project of Excellent Doctorate Dissertation of Southwest Jiaotong University,Chinathe Doctoral Innovation Foundation of Southwest Jiaotong University,China
文摘The discrete iterative map models of peak current-mode （PCM） and valley current-mode （VCM） controlled buck converters, boost converters, and buck-boost converters with ramp compensation are established and their dynamical behaviours are investigated by using the operation region, parameter space map, bifurcation diagram, and Lyapunov exponent spectrum. The research results indicate that ramp compensation extends the stable operation range of the PCM controlled switching dc-dc converter to D 〉 0.5 and that of the VCM controlled switching dc-dc converter to D 〈 0.5. Compared with PCM controlled switching dc-dc converters with ramp compensation, VCM controlled switching dc-dc converters with ramp compensation exhibit interesting symmetrical dynamics. Experimental results are given to verify the analysis results in this paper.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11871400 and 11971386)the Natural Science Foundation of Shaanxi Province,China(Grant No.2017JM1019).
文摘The work studies model reduction method for nonlinear systems based on proper orthogonal decomposition (POD)and discrete empirical interpolation method (DEIM). Instead of using the classical DEIM to directly approximate thenonlinear term of a system, our approach extracts the main part of the nonlinear term with a linear approximation beforeapproximating the residual with the DEIM. We construct the linear term by Taylor series expansion and dynamic modedecomposition (DMD), respectively, so as to obtain a more accurate reconstruction of the nonlinear term. In addition, anovel error prediction model is devised for the POD-DEIM reduced systems by employing neural networks with the aid oferror data. The error model is cheaply computable and can be adopted as a remedy model to enhance the reduction accuracy.Finally, numerical experiments are performed on two nonlinear problems to show the performance of the proposed method.
文摘针对月壤钻取采样过程中存在大颗粒岩块情况进行三维离散元动态仿真分析。建立考虑扭转、弯曲力矩及等效引力作用的新型三维离散元月壤模型,通过三轴仿真试验进行细观参数标定,得到黏聚力为0.90 k Pa,内摩擦角为42.25°的满足真实月壤宏观力学指标的仿真模型。针对月壤内层存在大颗粒情况设计4种采样工况分别进行仿真分析,监测大颗粒运动轨迹与采样效率,发现了"旋入效应"、"纵向运移效应"与"阻塞效应",仿真结果表明岩块粒径大小直接影响采样结果:当岩块粒径小于钻头"虚拟切削圆"时,其无论存在于任何位置对采样效率与后续样品缠绕收集均无明显影响;当岩块粒径大于"虚拟切削圆"时,阻塞现象严重,样品收集困难,极易导致采样失败。研究结论对月壤钻取采样控制设计与钻具结构设计具有重要的工程参考价值。
