Науковий вісник НГУ

Rolling electrical complex on the basis of the criterion of minimizing the area under the curve of motion

User Rating:  / 0

Details

Category: Electrical engineering

Last Updated on Wednesday, 22 June 2016 21:34

Published on Wednesday, 22 June 2016 21:34

Hits: 3371

Authors:

D.O.Kulahin, Cand. Sci. (Tech.), Assoc. Prof., Zaporizhzhia National Technical University, Zaporizhzhia, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Generic description of the content of criterion of minimization of the area under the curve of the motion of the electrical complex.

Methodology. The methods of variational calculus in the combination with mechanics approaches were used for systematic studies of the properties of the mobile object. By the optimal control over the motion of the electrical complex was understood such a choice of the sequence of the traction drive control modes, which ensures minimization of the criterion of optimality allowing for all restrictions imposed on the parameters and conditions of operation. The quantitative measure that characterizes the decision, i.e. the choice of the electrical complex motion control, was understood to be the criterion of optimality.

Findings. We developed the analytical model of application of the criterion of minimization of the area under the curve of the motion of the electrical complex. It was proved that the minimization of the square, which is formed by the during its rotation about the x-axis, also leads to a decrease of the length of the and a corresponding decrease of traction.

Originality. For the first time, the use of the criterion of minimizing the area under the curve of the movement was proposed and justified to develop operating procedure of traction drives of the mobile electromechanical objects, which allows for the minimum value of traction. In contrast to existing criteria, the proposed one allows implementing the optimal dynamic properties of the electrical system when in motion.

Practical value. Based on the developed criterion the procedure of calculation of the parameters of the optimal motion curve was developed. It allows us to design systems of automatic regulation and control systems of traction drives, to perform testing, improvement, repair and diagnostics of systems of rolling electrical complex.

References / Список літератури

1. Kulahіn, D.O., 2014. Proektuvannia system keruvannia tiahovymy elektroperedachamy motorvahonnykh poizdiv [Design of control systems of traction electrical transmission of EMU-trains]. Berdiansk: FOP Tkachuk O.V.

Кулагін Д.О. Проектування систем керування тяговими електропередачами моторвагонних поїздів: монографія / Кулагін Д.О. – Бердянськ: ФО-П Ткачук О.В., 2014. – 154 c.

2. Baranov, L.A., Yerofeev, Ye.V., Meleshin, I.S., Chin, L.M., 2011. Optimizatsiya upravleniya dvizheniem poezdov [Optimization of train control]. Moscow: MIIT.

Оптимизация управления движением поездов / Баранов Л.А., Ерофеев Е.В., Мелешин И.С., Чинь Л.М. – М.: МИИТ, 2011. – 164 c.

3. Getman, G.K., 2008. Nauchnyye osnovy opredeleniya ratsyonalnogo moshchnostnogo ryada tyagovykh sredstv zheleznodorozhnogo transporta [Scientific basis for the definition of rational power series traction rolling stock]. Dnepropetrovsk: Dnepropetrovsk University of Railway Transport.

Гетьман Г.К.  Научные основы определения рационального мощностного ряда тяговых средств железнодорожного транспорта: монография / Гетьман Г.К. – Днепропетровский нац. ун-т ж.-д. трансп. – Днепропетровск: Вид-во Дніпропетр. нац. ун-ту залізн. трансп., 2008. – 444 с.

4. Mishchenko, V.A., 2002. Teoriya, sposoby i sistemy vektornogo i optimalnogo vektornogo upravleniya elektroprivodami peremennogo toka. [Theory, methods and systems of the vector and the optimal vector control of electric drives of an alternating current]. Moscow: Informelektro.

Мищенко В.А. Теория, способы и системы векторного и оптимального векторного управления электроприводами переменного тока: монография / Мищенко В.А. – М.: Издательство «Информэлектро», 2002. – 168 c.

5. Kulahin, D.O., Andrienko, P.D., 2014. Informatsiini upravliaiuchi systemy ta tekhnolohii [Information control systems and technologies]. Donetsk: Donbas.

Інформаційні управляючі системи та технології: колективна монографія / [Кулагін Д.О., Андрієнко П.Д. та ін.] – Донецьк: Донбас, 2014. – 218 c

6. Cassel Kevin W., 2013. Variational Methods with Applications in Science and Engineering. Cambridge University Press.

7. Gelfand, I.M. and Fomin, S.V., 2000. Calculus of Variations. Courier Dover Publications.

8. Logan J. David., 2006. Applied Mathematics. Wiley-In-terscience, John Wiley & Sons.

9. Lebedev, L.P. and Cloud, M.J., 2003. The Calculus of Variations and Functional Analysis with Optimal Control and Applications in Mechanics. World Scientific.

2016_02_Kulahin
2016-06-21  1.02 MB  730

• < Prev
• Next >