THE CONTENT MODEL AND THE EQUATIONS OF MOTION OF ELECTRIC VEHICLE
DOI:
https://doi.org/10.15802/stp2015/46056Keywords:
urban electric transport, electric power costs, equation of motion, conceptual and mathematical models, Euler-Lagrange equation, conservative and dissipative forcesAbstract
Purpose. The calculation methods improvement of the electric vehicle curve movement and the cost of electricity with the aim of performance and accuracy of calculations improving are considered in the paper. Methodology. The method is based upon the general principles of mathematical simulation, when a conceptual model of problem domain is created and then a mathematic model is formulated according to the conceptual model. Development of an improved conceptual model of electric vehicles motion is proposed and a corresponding mathematical model is studied. Findings. The authors proposed model in which the vehicle considers as a system of interacting point-like particles with defined interactions under the influence of external forces. As a mathematical model the Euler-Lagrange equation of the second kind is used. Conservative and dissipative forces affecting the system dynamics are considered. Equations for calculating motion of electric vehicles with taking into account the energy consumption are proposed. Originality. In the paper the conceptual model of motion for electric vehicles with distributed masses has been developed as a system of interacting point-like particles. In the easiest case the system has only one degree of freedom. The mathematical model is based on Lagrange equations. The shown approach allows a detailed and physically based description of the electric vehicles dynamics. The derived motion equations for public electric transport are substantially more precise than the equations recommended in textbooks and the reference documentation. The motion equations and energy consumption calculations for transportation of one passenger with a trolleybus are developed. It is shown that the energy consumption depends on the data of vehicle and can increase when the manload is above the certain level. Practical value. The authors received the equations of motion and labour costs in the calculations focused on the use of computer methods of numerical integration. The calculation expenses are reduced. The accuracy is improved; provided possibility to consider different parameters influencing the motion. A certain environmental effect can be achieved by orientation calculation methods for the practical development of the process charts of the movement of electric vehicle funds in different operating conditions at a constant change of filling the interior of the vehicle.
References
Blokhin Ye.P., Manashkin L.A. Razvitiye matematicheskikh modeley dinamiki poyezda v trudakh V. A. Lazaryana i yego uchenikov [The development of mathematical models of the dynamics of trains in the writings of Yves. A. Lazaryan and his disciples]. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan], 2009, issue 30, pp. 64-74.
Vishnyak G.V. Trolleybus passazhirskiy ZiU-682B [Trolleybus passenger ZiU-682B]. Moscow, Transport Publ., 1977. 208 p.
Hetman H.K., Holik S.M. Vyznachennia vytrat elektroenerhii na tiahu poizdiv pry rozviazanni zadach tiahovoho zabespechennia [The cost of electricity for traction trains determination in solving problems of providing traction]. Tezisy LXYI Mezhdunarodnoy nauchno-prakticheskoy konferentsii «Problemy i perspektivy razvitiya zheleznodorozhnogo transporta (11.05-12.05 2006)» [Proc. of LXYI Intern. Sci. and Pract. Conf. «Problems and prospects of railway transport development»]. Dnipropetrovsk, 2006. P. 115.
Getman G.K. Matematicheskaya model poyezda dlya proizvodstva tyagovykh raschetov v zadachakh vybora parametrov tyagovykh sredstv [Mathematical model of a train for production of traction calculations in problems of parameters selection of the traction means]. Transport : zbirnyk naukovykh prats. Vypusk 1 [Transport: Proceedings. Issue 1]. Dnipropetrovsk, Nauka i osvita Publ., 1999, pp. 75-79.
Getman G.K. Teoriya elektricheskoy tyagi [Theory of electric traction]. Dnepropetrovsk, Makovetskiy Publ., 2011. 456 p.
Getman G.K. Teoriya elektricheskoy tyagi [Theory of electric traction]. Dnepropetrovsk, Makovetskiy Publ., 2011. 364 p.
Lobas Leonid, Lobas Liudmyla. Teoretychna mekhanika [Theoretical mechanics]. Kyiv, Derzhavnyi ekonomiko-tekhnolohichnyi universytet transportu Publ., 2008. 406 p.
Daleka V.Kh., Pushkov P.M., Andriichenko V.P., Minieieva Yu.V. Osnovy elektrychnoi tiahy [Fundamentals of electric traction]. Kharkiv, Kharkivskyi natsionalnyi universytet miskoho hospodarstva imeni O. M. Beketova Publ., 2012. 312 p.
Radchenko V.D. Soprotivleniye dvizheniyu vagonov metropolitena [The resistance to movement of the subway cars]. Moscow, Transzheldorizdat Publ., 1957. 71 p.
Raspopov A.S., Klimenko I.V., Kravets T.V. Postroeniye matematicheskikh modeley dvizheniya ekipazhey zh.-d. transporta na osnove uravneniy Eylera-Lagranzha [Construction of mathematical models of the railway transport crews movement on the basis of the Euler-Lagrange]. Transport: zbirnyk naukovykh prats Dnipropetrovskoho derzhavnoho tekhnichnoho universytetu zaliznychnoho transportu [Transport: Proc.of Dnipropetrovsk State Technical University of Railway Transport]. Dnipropetrovsk, 2000, issue 6, pp. 101-107.
Rozenfeld V.Ye., Isayev I.G., Sidorov N.N. Teoriya elektricheskoy tyagi [Theory of electric traction]. Moscow, Transport Publ., 1983. 328 p.
Khvorost M.V., Soroka K.O., Shpika M.I., Besarab A.I. Rozrobka modelei elektrodvyhuniv tiahovoho elektropryvodu transportnykh zasobiv z urakhuvanniam vykhrovykh strumiv [The modelling of electric traction motors electric drive vehicles, taking into account eddy currents]. Elektryfikatsiia transportu – Electrification of Transport, 2014, no. 8, pp. 99-104.
Rudoy Yu.G. Prokhorov A.M. Ves [Weight]. Fizicheskaya entsiklopediya [Physical encyclopedia].Moscow, Sovetskaya entsiklopediya Publ., 1988, vol. 1, pp. 262-707.
Mägi M. Analysis of modelling electric transportation networks. Proc. of 4th Intern. Symposium «Topical problems of education in the field of electrical and power engineering (15.01-20.01.2007)». Kuressaare,TallinnUniversity of Technology Publ., 2007, pp. 73-77.
CismaruD.C., Nicola D.A., Drighiciu M.A. Mathematical Models of High-Speed Trains Movement. WSEAS Transactions on Circuits and Systems, 2008, no. 2, pp. 379-388.
Matyja T. Simulink library project for modeling and simulation of dynamic phenomena in rotating power transmission systems. Problemy Transporty, 2014, vol. 9, issue 2, pp. 101-111.
Lingaitis L.P., Vaičiūnas G., Liudvinavičius L., Jevdomacha G. Methods of calculation line optimum travel of trains with consideration of longitudinal dynamic efforts. Problemy Transporty, 2013, vol. 8, issue 2, pp. 25-34.
Downloads
How to Cite
Issue
Section
License
Copyright and Licensing
This journal provides open access to all of its content.
As such, copyright for articles published in this journal is retained by the authors, under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0). The CC BY license permits commercial and non-commercial reuse. Such access is associated with increased readership and increased citation of an author's work. For more information on this approach, see the Public Knowledge Project, the Directory of Open Access Journals, or the Budapest Open Access Initiative.
The CC BY 4.0 license allows users to copy, distribute and adapt the work in any way, provided that they properly point to the author. Therefore, the editorial board of the journal does not prevent from placing published materials in third-party repositories. In order to protect manuscripts from misappropriation by unscrupulous authors, reference should be made to the original version of the work.
