Optimizing Electric Rail Energy Consumption Using the Lagrange Multiplier Technique
Publication: Journal of Transportation Engineering
Volume 139, Issue 3
Abstract
In the railway sector, one of the sensitive issues to be borne very much in mind is the cost brought about by the energy consumption required to meet schedules, be they local trains, metropolitan systems, or long-distance trains. To reduce energy consumption, considering restrictions like traveling time or speed limits, it is necessary to find a solution for a complex problem in the domain of optimal control theory (OCT). The analytical solution for those problems is not easily carried out. A simpler alternative to that approach is presented in this paper, using a semianalytical solution that leads to a discretization and to the application of the Langrage multipliers method to solve the optimization of n-tuples of speed. With the solution introduced in this work, is possible to include all the details about train operation, such as timetable restrictions or braking types. In the full paper, the detailed solution is presented as well as some real cases to illustrate the method results.
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Information
Published In
Journal of Transportation Engineering
Volume 139 • Issue 3 • March 2013
Pages: 321 - 329
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 7, 2012
Accepted: Jul 2, 2012
Published online: Feb 15, 2013
Published in print: Mar 1, 2013
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