MATHEMATICAL MODEL OF TRACTION BATTERY CAPACITY

ABSTRACT

Andrusenko S.I., Budnychenko V.B., Podpisnov V.S. Mathematical model of traction battery capacity. Visnyk of National Transport University. Series «Technical sciences». Scientific and Technical Collection. – Kyiv: National Transport University, 2021. – Issue 3 (50).

The article describes the methodology for determining energy capacity of a traction battery for wheeled vehicles intended for urban passenger transportation. Then, the factors affecting energy capacity of a traction battery are analyzed. The mathematical model of traction battery capacity is developed.

The object of research is a traction storage battery as an electric energy storage device for autonomous driving trolleybus movement on route sections where there is no catenary.

The purpose of the study is to develop a method for determining the energy characteristics of a traction battery as an energy storage device depending on traffic conditions on a bus route to substantiate the possibility of replacing a bus with an autonomous trolleybus.

Research methods are analytical and mathematical.

Analysis of the transport infrastructure of Ukrainian cities, where bus and trolleybus transport operate simultaneously, showed that in many cases there are bus routes, on some sections of which a trolleybus contact network is installed. In this case, the question arises about the advisability of replacing the bus with a trolleybus with an autonomous running, which does not require additional capital investments for the installation of catenary on sections of the bus route where it is absent, thanks to trolleybuses with autonomous driving are used. At the same time, the solution of using such trolleybuses instead of buses sets the primary task of method developing for substantiating the energy characteristics of a traction battery as an electric energy accumulator, depending on the driving conditions in the bus route.

The states (charge and discharge) in which the traction battery is located when the trolleybus moves along the bus route are considered and analyzed. While moving along the section where there is no catenary, the TAB loses part of its capacity with a value of Cp, and when moving in an area where there is catenary, it will receive a part of the lost capacity Cs. The case is considered when Cp > Cs, which is the most likely situation in practice.

The formulas are given for determining the minimum energy consumption of the TAB, which should be installed on the TAS, taking into account the difference between the energy received from the TAB and the energy received from the charger when the trolleybus moves along the route that has sections without catenary and sections with catenary for one return trip.

The obtained mathematical model of the traction battery energy intensity allows vehicle manufacturers to substantiate the energy intensity of the traction battery of an autonomous trolleybus for route characteristics specified by the consumer, and for consumers (customers of transport services and transport enterprises) to determine the list of bus routes on which an autonomous trolleybus can be used. It can be equipped with a traction battery with the energy intensity specified in its operational documentation, and a consumer is able to make a decision to use the trolleybus on other routes in case of a decrease in traction battery energy intensity in operation.

Further research in the direction of substantiating the traction battery capacity must be carried out in order to take into account the probabilistic characteristics of unit costs for an energy carrier, as well as average speed and vehicle mass.

KEYWORDS: BUS, TROLLEYBUS, ROUTE, CATENARY, AUTONOMOUS DRIVING, SPECIFIC INDICATOR, TRACTION BATTERY.

REFERENCES

  1. Budnychenko, V.B., & Karpushyn, E.I. (2001). Vyznachennia normatyviv vytrat elektroenerhii na rukh transportnykh zasobiv [Determination of standards for electricity consumption for vehicles movement]. Systemni metody keruvannia, tekhnolohiia ta orhanizatsiia vyrobnytstva, remontu ta ekspluatatsii avtomobiliv – System Control Methods, Technology and Management of Car Production, Repair and Operation, 12, 120-124 [in Ukrainian].
  2. Budnychenko, V.B., & Daleka, V.Kh. (2006). Kontseptsiia vyznachennia maksymalnoi shvydkosti transportnoho zasobu z elektrychnym rushiiem pid chas spusku na ukhyli [Concept for determining the maximum speed of a downhill moving vehicle with an electric motor]. Skhidno-Yevropeiskyi zhurnal peredovykh tekhnolohii – Eastern-European Journal of Enterprise Technologies, 1/2(19), 78-81 [in Ukrainian].
  3. Budnychenko, V.B., & Yablonskyi, R.F. (2009). Analiz matematychnykh modelei vyznachennia oporu rukhu rukhomoho skladu [Analysis of mathematical models for rolling resistance determining]. Kommunalnoe khoziaistvo horodov – Municipal Utilities, 88, 62-65 [in Ukrainian].
  4. Budnychenko, V.B., Daleka, V.Kh., & Shavkun, V.M. (2015). Planuvannia spozhyvannia elektroenerhii na elektrotransporti za nanymy ekspluatatsii [Planning of electricity consumption by electric vehicles according to operation data]. Avtomobil i elektronika. Suchasni tekhnolohii – Vehicle and Electronics. Innovative Technologies. – Available at: http://car-electroniks.hol.es/arxiv_2015_8.html. – Title from Screen.
  5. Budnychenko, V.B., Shmatkov, V.O., & Daleka, V.Kh. (2013). Vyprobuvannia svyntsevo-kyslotnykh akumuliatoriv z metoiu vykorystannia na miskomu elektrychnomu transporti ukrainy [Testing of lead-acid batteries for use in urban electric transport in Ukraine]. Komunalne hospodarstvo mist – Municipal Utilities, 112, 148-152 [in Ukrainian].
  6. Andrusenko, S.I., Bugaichuk, O.S., Budnychenko V.B., & Podpisnov V.S. (2020). Obgruntuvannia dotsilnosti vykorystannia nakopychuvachiv enerhii v elektromerezhakh miskoho transportu ta domohospodarstv [Business case for application of energy storage units in urban transport and home power grids]. Visnyk Natsionalnoho Transportnoho Universytetu – Bulletin of National Transport University, 1 (46), 3-13 [in Ukrainian].

AUTHORS

Andrusenko Serhii I., Ph.D. in Technical Science, Professor, National Transport University, Head of the Department of Motor Vehicle Maintenance and Service, e-mail: sergeandrusenko@gmail.com, tel. +380634720587, Ukraine, 01010, Kyiv, M. Omelianovych-Pavlenko str. 1, of. 410A, orcid.org/0000-0002-9914-0200.

Budnychenko Valerii B., Ph.D. in Technical Science, Associate Professor, National Transport University, Associate Professor of the Department of Motor Vehicle Maintenance and Service, e-mail: budnvb@i.ua, tel. +380679318431, Ukraine, 01010, Kyiv, M. Omelianovych-Pavlenko str. 1, of. 410, orcid.org/0000-0002-1235-3781.

Podpisnov Vladyslav S., National Transport University, Assistant Lecturer of the Department of Motor Vehicle Maintenance and Service, e-mail: vpodpisnov@ukr.net, tel. +380989623871, Ukraine, 01010, Kyiv, M. Omelianovych-Pavlenko str. 1, of. 410, orcid.org/0000-0002-8583-1502.

REVIEWER

Virchenko V.V., Corporation of City Electric Transport Enterprises of Ukraine «Ukrelektrotrans», CEO, Kyiv, Ukraine.

Hryshchuk O.K., Ph.D. in Technical Sciences, Professor, National Transport University, Vice Rector for Academic Affairs, Kyiv, Ukraine.

Article language: Ukrainian

Open Access: http://publications.ntu.edu.ua/visnyk/50/003-010.pdf

Print date: 29.09.2021

Online publication date: 30.10.2021

 

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