Title:

Energy Consumption Optimal Control of the Train Movement

Subtitle:

Raport Badawczy = Research Report ; RB/10/2017

Creator:

Myśliński, Andrzej ; Nahorski, Zbigniew (1945– ) ; Radziszewska, Weronika ; Szulc, Katarzyna

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2017

Description:

10 pages ; 21 cm ; Bibliography p. 8-10

Subject and Keywords:

Zasada maksimum ; Odes train model ; Model pociągu odes ; Semi analytical solutions ; Energy minimization ; Minimalizacja energii ; Rozwiązania pół analityczne ; Maximum principle ; Optimal switching ; Optymalne przełączanie ; Numerical algorithm ; Algorytm numeryczny

Abstract:

The paper is devoted to the solution of the energy minimization problem for a moving train. The train movement is governed by the system of the first order ordinary differential equations where the train speed and the distance along the track are the state variables. The provided locomotive power depends on the control function. The generated traction force is assumed to depend on the velocity of the train and on the control function. Using the maximum principle and Lagrangian multipliers the system of equations constituting the necessary optimality conditions is formulated. Based on the analysis of the train movement the optimal trajectories in terms of train speed and associated optimal control functions are calculated. A new simplified method is used to calculate the set of the switching times implementing the optimal control functions. Numerical examples are provided and discussed.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2017-10

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open