Minimal-Energy Driving Strategy for High-Speed Electric Train With Hybrid System Model

This paper studies a minimal-energy driving strategy for high-speed electric trains with a fixed travel time. A hybrid system model is proposed to describe the new characteristics of high-speed electric trains, including the extended speed range, energy efficiency, and regenerative braking. Based on this model, train driving is characterized by the gear sequence and the switching locations. An approximate gradient information is derived via the variational principle. To avoid a combinatorial explosion, the gear sequence is fixed by a priori knowledge. Then, a gradient-based exterior point method is proposed to calculate the optimal driving. In the case study, the minimal-energy driving with a fixed travel time for CRH-3 is investigated, and the result reveals some new understandings for high-speed electric train drive. Additionally, the tradeoff relationship between energy consumption and travel time is quantitatively studied, which is helpful in assigning an appropriate travel time for high-speed trains.

[1]  Chun-Liang Lin,et al.  Optimization of train-speed trajectory and control for mass rapid transit systems , 2011 .

[2]  Masafumi Miyatake,et al.  Optimization of Train Speed Profile for Minimum Energy Consumption , 2010 .

[3]  Kitae Kim,et al.  Optimal Train Operation for Minimum Energy Consumption Considering Track Alignment, Speed Limit, and Schedule Adherence , 2011 .

[4]  Phil Howlett,et al.  Optimal strategies for the control of a train , 1996, Autom..

[5]  Karl Henrik Johansson,et al.  Dynamical properties of hybrid automata , 2003, IEEE Trans. Autom. Control..

[6]  V. Borkar,et al.  A unified framework for hybrid control: model and optimal control theory , 1998, IEEE Trans. Autom. Control..

[7]  Phil Howlett,et al.  Application of critical velocities to the minimisation of fuel consumption in the control of trains , 1992, Autom..

[8]  Panos J. Antsaklis,et al.  Optimal control of switched systems based on parameterization of the switching instants , 2004, IEEE Transactions on Automatic Control.

[9]  A. V. Dmitruk,et al.  Solution problem of the energetically optimal control of the motion of a train by the maximum principle , 1987 .

[10]  K. Ichikawa.  Application of Optimization Theory for Bounded State Variable Problems to the Operation of Train , 1968 .

[11]  Nobuo Iwai.  ANALYSIS ON FUEL ECONOMY AND ADVANCED SYSTEMS OF HYBRID VEHICLES. , 1999 .

[12]  Xuping Xu,et al.  Optimal control of switched autonomous systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[13]  R. Sanfelice,et al.  Hybrid dynamical systems , 2009, IEEE Control Systems.

[14]  Kitae Kim,et al.  Simulation-Based Analysis of Train Controls under Various Track Alignments , 2010 .

[15]  Hee-Soo Hwang,et al.  Control strategy for optimal compromise between trip time and energy consumption in a high-speed railway , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[16]  Eugene Khmelnitsky,et al.  On an optimal control problem of train operation , 2000, IEEE Trans. Autom. Control..

[17]  Jyh-Cherng Jong,et al.  MODELS FOR ESTIMATING ENERGY CONSUMPTION OF ELECTRIC TRAINS , 2005 .

[18]  H. Sussmann,et al.  A maximum principle for hybrid optimal control problems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[19]  Masafumi Miyatake,et al.  Application of dynamic programming to the optimization of the running profile of a train , 2004 .

[20]  Sarosh N. Talukdar,et al.  Multiobjective trajectory optimization for electric trains , 1979 .

[21]  Le Yi Wang,et al.  Optimal hybrid control with applications to automotive powertrain systems , 1997 .

[22]  Jawad Faiz,et al.  Optimal design of an induction motor for an electric vehicle , 2006 .

[23]  Tin Kin Ho,et al.  A review of simulation models for railway systems , 1998 .

[24]  Rongfang Rachel Liu,et al.  Energy-efficient operation of rail vehicles , 2003 .

[25]  M. Miyatake,et al.  Numerical analyses of minimum energy operation of multiple trains under DC power feeding circuit , 2007, 2007 European Conference on Power Electronics and Applications.

[26]  M. Meyer,et al.  An algorithm for the optimal control of the driving of trains , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[27]  C. Landi,et al.  Optimization of energy consumption in a railway traction system , 2006, International Symposium on Power Electronics, Electrical Drives, Automation and Motion, 2006. SPEEDAM 2006..

[28]  K. T. Chau,et al.  Overview of power management in hybrid electric vehicles , 2002 .

[29]  Le Yi Wang,et al.  Hybrid Control of Automotive Powertrain Systems: A Case Study , 1998, HSCC.

[30]  A. Poznyak,et al.  The Maximum Principle , 2012 .

[31]  Phil Howlett,et al.  The Optimal Control of a Train , 2000, Ann. Oper. Res..

[32]  Mehrdad Ehsani,et al.  An Investigation of Electric Motor Drive Characteristics for EV and HEV Propulsion Systems , 2000 .

[33]  Suzana Kahn Ribeiro,et al.  Energy efficiency technologies for road vehicles , 2009 .

[34]  Clive Roberts,et al.  A Power-Management Strategy for Multiple-Unit Railroad Vehicles , 2011, IEEE Transactions on Vehicular Technology.

[35]  Thomas A. Henzinger,et al.  The theory of hybrid automata , 1996, Proceedings 11th Annual IEEE Symposium on Logic in Computer Science.

[36]  J. F. Andrus.  An exterior point method for the convex programming problem , 1992 .

[37]  Paloma Cucala,et al.  A Method to Optimise Train Energy Consumption Combining Manual Energy Efficient Driving and Scheduling , 2010 .

[38]  W-S Lin,et al.  Automatic train regulation for metro lines using dual heuristic dynamic programming , 2010 .

[39]  Phil Howlett,et al.  Energy-efficient train control , 1994 .

[40]  Felix Schmid,et al.  Electric railway systems in common use , 2007 .

[41]  Phil G. Howlett,et al.  Local energy minimization in optimal train control , 2009, Autom..