Comparative analysis of algorithms and models for train running simulation

Jaekel, Birgit; Albrecht, Thomas

doi:10.1016/j.jrtpm.2014.06.002

Cited by 12 publications

(9 citation statements)

References 7 publications

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“…STS is a well-established method to calculate energy requirements for trains over specific routes 17 : typically, Lomonossoff's equation 8,18,19 is solved over the journey to determine the duty cycle and energy requirements. Lomonosoff's equation is where m is mass, v is velocity, a is acceleration, F is the tractive effort at the wheels, A, B , and C are constants, g is gravitational acceleration, and α is the slope angle; the allowance for rotating mass is assumed to be ξ=1.06 for the whole train.…”

Section: Methodsmentioning

confidence: 99%

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Techno-economic analysis of freight railway electrification by overhead line, hydrogen and batteries: Case studies in Norway and USA

Zenith

Isaac

Hoffrichter

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part F:

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Two non-electrified railway lines, one in Norway and the other in the USA, are analysed for their potential to be electrified with overhead line equipment, batteries, hydrogen or hydrogen-battery hybrid powertrains. The energy requirements are established with single-train simulations, including the altitude profiles of the lines, air and rolling resistances, and locomotive tractive-effort curves. The composition of the freight trains, in terms of the number of locomotives, battery wagons, hydrogen wagons, etc. is also calculated by the same model. The different technologies are compared by the criteria of equivalent annual costs, benefit–cost ratio, payback period and up-front investment, based on the estimated techno-economic parameters for years 2020, 2030 and 2050. The results indicate the potential of batteries and fuel cells to replace diesel on rail lines with low traffic volumes.

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Section: Methodsmentioning

confidence: 99%

Section: Single-train Simulationsmentioning

confidence: 99%

Techno-economic analysis of freight railway electrification by overhead line, hydrogen and batteries: Case studies in Norway and USA

Zenith

Isaac

Hoffrichter

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part F:

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“…in addition, the associated changes in speed and position for each time step are calculated using Euler integration. While Euler integration is one of the simplest integration schemes, analytically integrating the grade and curvature profiles that trains traverse would require numerical approximation, reducing the advantages of more complex integration schemes like gaussian integration [16].…”

Section: Train Performance Calculatormentioning

confidence: 99%

Evaluating Fixed, Virtual, and Moving Block Control Systems on a Double Track North American Freight Rail Corridor

Roscoe¹,

Dick²

2022

Int. J. TDI

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gEordiE S. roScoE & c. tylEr dick department of civil and Environmental Engineering, university of illinois urbana-champaign, united States of america aBStract this paper evaluates the potential for virtual and moving block control systems to increase the capacity of existing north american freight rail corridors to meet future traffic demand. in 2019, uS class i railroads transported 1.6 billion tons of freight across their rail network. to create capacity for a projected increase in freight rail transportation demand of 24% by 2045, billions of dollars must be invested yearly in the mainline route network. as for-profit companies with limited capital budgets, uS class i railroads have a strong economic incentive to properly match mainline capacity to traffic demand. While investing in new track infrastructure does increase network capacity, recently installed Positive train control technology and its associated modern communications network may allow virtual and moving block systems to be developed as lower cost alternatives to manage projected traffic increases. thus, the potential capacity and performance benefits of virtual and moving block systems relative to existing fixed block wayside signal systems should be quantified in a realistic mainline corridor operating scenario. the authors obtained actual route topology and historical train operating data for a longdistance (>2,000 km long) double-track uS class i railroad mainline and developed a novel dispatching algorithm and train simulation framework to compare average train speed under each control system and several levels of projected future train traffic. the simulation results indicate that virtual and moving block systems can substantially increase average train speed compared to existing fixed block systems, especially under high levels of train traffic. alternatively, virtual and moving block systems can be used to preserve the existing average train speed while increasing the total number of trains handled. the quantitative results of these simulation experiments enable railway practitioners to more accurately evaluate the costs and benefits of investing in these emerging train traffic control technologies.

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“…The train movement is modelled as follows (Jaekel and Albrecht, 2014;Rochard and Schmid, 2000): The maximum speed that a train can achieve at any specific location x is restricted by the local speed restriction on the track, denoted by   v x , i.e.,…”

Section: Optimal Control Of a Single Trainmentioning

confidence: 99%

“…The resistive force is usually formulated as a quadratic function of speed, known as the Davis formula (Jaekel and Albrecht, 2014;Rochard and Schmid, 2000):…”

Section: Optimal Control Of a Single Trainmentioning

confidence: 99%

A multiphase optimal control method for multi-train control and scheduling on railway lines

Liu

2016

Transportation Research Part B: Methodological

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We consider a combined train control and scheduling problem involving multiple trains in a railway line with a predetermined departure/arrival sequence of the trains at stations and meeting points along the line. The problem is formulated as a multiphase optimal control problem while incorporating complex train running conditions (including undulating track, variable speed restrictions, running resistances, speed-dependent maximum tractive/braking forces) and practical train operation constraints on departure/arrival/running/dwell times.Two case studies are conducted. The first case illustrates the control and scheduling problem of two trains in a small artificial network with three nodes, where one train follows and overtakes the other. The second case optimizes the control and timetable of a single train in a subway line. The case studies demonstrate that the proposed framework can provide an effective approach in solving the combined train scheduling and control problem for reducing energy consumption in railway operations.

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Comparative analysis of algorithms and models for train running simulation

Cited by 12 publications

References 7 publications

Techno-economic analysis of freight railway electrification by overhead line, hydrogen and batteries: Case studies in Norway and USA

Techno-economic analysis of freight railway electrification by overhead line, hydrogen and batteries: Case studies in Norway and USA

Evaluating Fixed, Virtual, and Moving Block Control Systems on a Double Track North American Freight Rail Corridor

A multiphase optimal control method for multi-train control and scheduling on railway lines

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