Optimal trajectory planning for trains – A pseudospectral method and a mixed integer linear programming approach

Wang, Yihui; Schutter, Bart De; Boom, T.J.J. van den; Ning, Bin

doi:10.1016/j.trc.2013.01.007

Cited by 208 publications

(101 citation statements)

References 30 publications

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“…The power at the wheels P m , according to mechanical force and vehicle speed, can be calculated as Equation (8). The power P t , going upstream to the intermediate DC link, is expressed as Equation (9) considering energy loss in the transmission process.…”

Section: Tram Movement Modelingmentioning

confidence: 99%

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Integrated Optimization of Speed Profiles and Power Split for a Tram with Hybrid Energy Storage Systems on a Signalized Route

et al. 2018

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Abstract:A tram with on-board hybrid energy storage systems based on batteries and supercapacitors is a new option for the urban traffic system. This configuration enables the tram to operate in both catenary zones and catenary-free zones, and the storage of regenerative braking energy for later usage. This paper presents a multiple phases integrated optimization (MPIO) method for the coordination of speed profiles and power split considering the signal control strategy. The objective is to minimize the equivalent total energy consumption of all the power sources, which includes both the energy from the traction substation and energy storage systems. The constraints contain running time, variable gradients and curves, speed limits, power balance and signal time at some intersections. The integrated optimization problem is formulated as a multiple phases model based on the characters of the signalized route. An integrated calculation framework, using hp-adaptive pseudospectral method, is proposed for the integrated optimization problem. The effectiveness of the method is verified under fixed time signal (FTS) control strategy and tram priority signal (TPS) control strategy. Illustrative results show that this method can be successfully applied for trams with hybrid energy storage systems to improve their energy efficiency.

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Section: Tram Movement Modelingmentioning

confidence: 99%

“…as equation (43) hp-adaptive pseudospectral method Pseudospectral methods for solving multiple phases train trajectory optimal control problems have been presented in [8,15]. The optimal control problem is transcribed to a discrete nonlinear programming problem at collocation points [35].…”

Section: Multiple Phases Integrated Problemmentioning

confidence: 99%

Integrated Optimization of Speed Profiles and Power Split for a Tram with Hybrid Energy Storage Systems on a Signalized Route

et al. 2018

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“…Thus it can be described as a group of hyperbolic or parabolic formulas and each formula approximates the actual traction force for a certain speed interval [30], such as…”

Section: Hybrid Mpc Based Ato Designmentioning

confidence: 99%

Optimal Operation of High-Speed Trains Using Hybrid Model Predictive Control

Yang

Liu

et al. 2018

Journal of Advanced Transportation

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The high-speed train operation process is highly nonlinear and has multiple constraints and objectives, which lead to a requirement for the automatic train operation (ATO) system. In this paper, a hybrid model predictive control (MPC) framework is proposed for the controller design of the ATO system. Firstly, a piecewise linear system with state and input constraints is constructed through piecewise linearization of the high-speed train's nonlinear dynamics. Secondly, the piecewise linear system is transformed into a mixed logical dynamical (MLD) system by introducing the auxiliary binary variables. For the transformed MLD system, a hybrid MPC controller is designed to realize the precise control under hard constraints. To reduce the online computation complexity, the explicit control law is computed offline by employing the mixed-integer linear programming (MILP) technique. Simulation results validate the effectiveness of the proposed method.

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“…Although the speed profile of a train on a given track should and can be optimized as done in [31] and [32], it is out of the scope of this paper and is not discussed. Only speed tracking with respect to a given reference speed profile is investigated.…”

Section: X(t) and V(t) Are The Position And Velocity Of The Train At mentioning

confidence: 99%

Development of an Optimal Operation Approach in the MPC Framework for Heavy-Haul Trains

Zhang

Zhuan

2015

IEEE Trans. Intell. Transport. Syst.

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Abstract-An operation control approach for heavy haul trains to optimize their performance, including operation safety, service quality and energy consumption, is proposed. Following a model predictive control method, the controller is capable of scheduling a train to operate optimally during a long section of the rail track. In the cost function, two penalty factors are presented, one for the braking forces and one for coupler damping effects. The penalty for braking forces is employed to reduce energy waste incurred by braking. The penalty for coupler damping is introduced to alleviate the cyclic vibration of couplers, which link adjacent cars in the train. The damping penalty is also expected to reduce energy wasted by coupler damping and corresponding maintenance/replacement cost of the dampers. In addition, the weight of the velocity tracking term in the objective function is modified to vary dynamically according to the train's velocity to improve the train's overall performance. Simulations verify the effectiveness of the proposed control approach. Discussions over the impacts of the two penalty factors and dynamic weight method are provided together with some suggestions on their applications.

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Optimal trajectory planning for trains – A pseudospectral method and a mixed integer linear programming approach

Cited by 208 publications

References 30 publications

Integrated Optimization of Speed Profiles and Power Split for a Tram with Hybrid Energy Storage Systems on a Signalized Route

Integrated Optimization of Speed Profiles and Power Split for a Tram with Hybrid Energy Storage Systems on a Signalized Route

Optimal Operation of High-Speed Trains Using Hybrid Model Predictive Control

Development of an Optimal Operation Approach in the MPC Framework for Heavy-Haul Trains

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