THEORETICAL ASPECTS AND METHODS OF PARAMETERS IDENTIFICATION OF ELECTRIC TRACTION SYSTEM DEVICES. METHOD OF WEIGHT FUNCTION

T. N. Mishchenko

Abstract


Purpose. Development and substantiation of a new method of structural identification of electrical devices of electric traction systems for both DC and AC current. Methodology. To solve this problem the following methods are used: the methods and techniques of the linear electrical engineering, in particular, the Laplace operator method; the numerical method for solving the integral equation, which is based on the representation of the Wiener-Hopf linear equations system (this allows forming the solutions of the problem in a mathematical form of the correlation and weight functions); the factorization method, which provides certain partition of the correlation functions of the stochastic processes. Findings. It was developed the method of weight function of the electrical devices identification, which can be fully used in the systems of electric traction. As the use example of the developed method it was considered a feeder section of DC electric traction with the single power supply. On this section move two electric locomotives of the type DE 1, they have been identified by the weighting functions. The required currents and voltages of electric locomotives are also formulated in the electric traction network in probabilistic and statistical form, that is, the functions of mathematical expectation and the correlation functions are determined. At this, it is taken into account that the correlation function of the sum of random functions is equal to the sum of the correlation functions of additives, and the correlation function of the integral of a random function is defined as the double integral of the correlation function of the output of a random function. Originality. Firstly, originality consists of the adaption of the developed method of structural identification for the devices of electric traction system. Secondly, it lies in the proper development of the new method of weight function. And finally, it lies in the solution of the Wiener-Hopf equation using the correlation method of factorization. Practical value. The developed method and the technique that is based on it, allow predicting electric traction loadings of the traction network, as well as the other devices of the traction energy systems and the electric motive power in the different modes of operation and, in particular, during the high-speed train traffic. The method takes into account the load influence (and its mode of operation) of the adjacent feeder zones on the electromagnetic processes in the studied intersubstation area. Thus, it is important that the required voltages and currents are considered as the random functions.


Keywords


identification; weight function; electric traction; correlation function; electric locomotive; random process; voltage; current

References


Bushtruk A.D. Strukturnaya identifikatsiya nelineynykh dinamicheskikh obyektov [Stuctural identification of nonlinear dynamic object]. Avtomatika i telemekhanika − Automation and Telemechanics, 1989, no. 10, pp. 84-89.

Kostin N.A., Sablin O.I. Koeffitsient moshchnosti elektropodvizhnogo sostava postoyannogo toka [The power factor of DC electric rolling stock]. Elektrotekhnіka і elektrodinamіka – Electric Engineering and Electrodynamics, 2005, no. 1, pp. 97-101.

Krasnov M.L., Kisenev A.I., Makarenko G.I. Integralnyye uravneniya [Integral equations]. Moscow, Nauka Publ., 1968. 192 p.

Livshits N.A., Pugachev V.N. Veroyatnostnyy analiz sistem avtomaticheskogo upravleniya [Probabilistic analysis of automatic control systems]. Moscow, Sov. radio Publ., 1963. 483 p.

Mishchenko T.N., Mikhalichenko P.Ye., Kostin N.A. Veroyatnostnyye kharakteristiki sluchaynoy funktsii napryazheniya na tokopriyemnike pervogo ukrainskogo elektrovoza DE 1 [Probabilistic characteristics of random function of voltage on the collectors of the first Ukrainian electric locomotive DE 1]. Elektrotekhnіka і elektromekhanіka – Electric Engineering and Electromechanics, 2003, no. 2, pp. 43-46.

Mishchenko T.M. Teoretychni aspekty ta metody identyfikatsii parametriv prystroiv systemy elektrychnoi tiahy. Metod myttievykh potuzhnostei; paralelne ziednannia elementiv [Theoretical aspects and methods of parameters identification of devices of the electric traction system. Method of instantaneous powers; parallel connection of elements]. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan], 2012, issue 41, pp. 86-91.

Mishchenko T.M. Teoretychni aspekty ta metody identyfikatsii parametriv prystroiv systemy elektrychnoi tiahy. Metod tsyklichnoi volt-ampernoi kharakterystyky [Theoretical aspects and methods of parameters identification of the electric traction systems devices. Method of cyclic current-voltage characteristics]. Nauka ta prohres transportu. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu − Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, 2013, no. 1 (43), pp. 119-125.

Petrov A.V. Metody spektralnoho analizu vypadkovykh tekhnolohichnykh kolyvan napruhy ta strumu fidera tiahovoi pidstantsii postiinoho strumu [Methods of spectral analysis of random technological oscillation of voltage ands current of the DC traction substation feeder]. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan], 2010, issue 34, pp. 77-80.

Sveshnikov A.A. Prikladnyye metody teorii sluchaynykh funktsiy [Applied methods of the random functions theory]. Moscow, Nauka Publ., 1968. 463 p.

Solodovnikov V.V. Statisticheskaya dinamika lineynykh sistem avtomaticheskogo upravleniya [Statistical dynamics of the linear systems of automation control]. Moscow, Gos. izd-vo fiz.-mat. lit-ry Publ., 1960. 655 p.

Eykgoff P., Banegek A., Savaragi Ye. Sovremennyye metody identifikatsii sistem [Contemporary methods of systems identification]. Moscow, Mir Publ., 1983. 400 p.

Aström K.J., Eykhoff P. System Identification-A Survey. Automatika, 1971, no. 7, pp. 123-162. doi: 10.1016/0005-1098(71)90059-8.

Barraud A., Larminat Ph. De Minimal Realization and Approximation of Linear Systems from Normal Operating Records. Proc. of the 3rd IFAC Symposium on Identification and System Parameter Estimation. Hague/Delft, 1973, pp. 953-956.

Bingulac S.P. Identification of multivariable dynamic systems. Proc. of the 4th IFAC Symposium on Identification and System Parameter Estimation. Tbilisi, Georgia, North-Holland, Hague, 1976, pp. 521-530.

Guenod M., Sage A.P. Comparison of Some Methods Used for Process Identification. Automatika, 1968, no. 4, pp. 235-269. doi: 10.1016/0005-1098(68)90016-2.

Kostin M., Nikitenko A. Statistics and Probability of the Pantograph of DC Electric Locomotive the Recuperation Mode. Przeglad Elektrotechniczny, 2013, vol. 2012, no. 2a, pp. 273-275.

Silva L.I., Magallán G.A., De la Barrera P.M. , De Angelo C.H., García G.O. Simulation of electric vehicles combining structural and functional approaches. Jornal of Electrical Engineering and Technology, May 2014, vol. 9, issue 3, pp. 848-858.

Szelag A.A., Maciołek T. 3 kV DC electric traction system modernisation for increased speed and trains power demand–problems of analysis and synthesis, 2013, vol. 89, issue 3. A, pp. 21-28.

Xuesong Feng, Jia Feng, Keqi Wua, Haidong Liu , Qipeng Sun. Evaluating target speeds of passenger trains in China for energy saving in the effect of different formation scales and traction capacities. Intern. Journal of Electrical Power & Energy Systems, 2012, vol. 42, issue 1, pp. 621-626. doi: 10.1016/j.ijepes.2012.04.055.


GOST Style Citations


1. Буштрук, А. Д. Структурная идентификация не-линейных динамических объектов / А. Д. Буш-трук // Автоматика и телемеханика. − 1989. − № 10. − С. 84–89.

2. Костин, Н. А. Коэффициент мощности элек-троподвижного состава постоянного тока / Н. А. Костин, О. И. Саблин // Електротехніка і електродинаміка. – 2005. – № 1. – С. 97–101.

3. Краснов, М. Л. Интегральные уравнения / М. Л. Краснов, А. И. Кисенёв, Г. И. Макаренко. − М. : Наука, 1968. − 192 с.

4. Лившиц, Н. А. Вероятностный анализ систем автоматического управления / Н. А. Лившиц, В. Н. Пугачёв. − М. : Сов. радио, 1963. − 483 с.

5. Мищенко, Т. Н. Вероятностные характеристики случайной функции напряжения на токоприёмнике первого украинского электровоза ДЭ 1 / Т. Н Мищенко, П. Е. Михаличенко, Н. А. Костин // Електротехніка і Електромеханіка. – 2003. – № 2. – С. 43–46.

6. Міщенко, Т. М. Теоретичні аспекти та методи ідентифікації параметрів пристроїв системи електричної тяги. Метод миттєвих потужностей; паралельне з’єднання елементів / Т. М. Мі-щенко // Вісн. Дніпропетр. нац. ун-ту. залізн. трансп. ім. акад.В. Лазаряна. – Д., 2012. – Вип. 41. – С. 86–91.

7. Міщенко, Т. М. Теоретичні аспекти та методи ідентифікації параметрів пристроїв системи електричної тяги. Метод циклічної вольтамперної характеристики / Т. М. Міщенко // Наука та прогрес трансп. Вісн. Дніпропетр. нац. ун-ту залізн. трансп. – 2013. – № 1 (43). – С. 119–125.

8. Петров, А. В. Методи спектрального аналізу випадкових технологічних коливань напруги та струму фідера тягової підстанції постійного струму / А. В. Петров // Вісн. Дніпропетр. нац. ун-ту залізн. трансп. ім. акад. В. Лазаряна. – Д., 2010. – Вип. 34. – С. 77–80.

9. Свешников, А. А. Прикладные методы теории случайных функций / А. А. Свешников. − М. : Наука, 1968. − с. 463.

10. Солодовников, В. В. Статистическая динамика линейных систем автоматического управления. / В. В. Солодовников. − М. : Гос. изд-во физ.-мат. лит-ры, 1960. − 655 с.

11. Эйкхофф, П. Современные методы идентификации систем / П. Эйкхофф. − М. : Мир, 1983. − 400 с.

12. Aström, K. J. System Identification-A Survey / K. J. Aström, P. Eykhoff. – Automatika. – 1971. – № 7. – P. 123–162. doi: 10.1016/0005-1098(71) 90059-8.

13. Barraud, A. De Minimal Realization and Approx-imation of Linear Systems from Normal Operating Records / A. Barraud, Ph. Larminat // Proc. of the 3rd IFAC Symposium on Identification and System Parameter Estimation. – Hague/Delft, 1973. – P. 953–956.

14. Bingulac, S. P. Identification of multivariable dynamic systems / S. P. Bingulac // Proc. of the 4th IFAC Symposium on Identification and System Parameter Estimation. – Tbilisi, Georgia, North-Holland, Hague, 1976. – P. 521–530.

15. Guenod, M. Comparison of Some Methods Used for Process Identification / M. Guenod, A. P. Sa-ge. – Automatika. – 1968. – № 4. – Р. 235–269. doi: 10.1016/0005-1098(68)90016-2.

16. Kostin, M. Statistics and Probability of the Pantograph of DC Electric Locomotive the Recuperation Mode / Mykolay Kostin, Anatoliy Nikitenko. – Przeglad Elektrotechniczny. – 2013. – Vol. 2012, № 2a. – P. 273–275.

17. Simulation of electric vehicles combining structural and functional approaches / L. I. Silva, G. A. Magallán, P. M. De la Barrera et al. // J. of Electrical Engineering and Technology. – 2014. – Vol. 9. – Iss. 3. – P. 848–858.

18. Szelag, A. A. 3 kV DC electric traction system modernisation for increased speed and trains power demand–problems of analysis and synthesis / A. A. Szelag, T. Maciołek. – 2013. – Vol. 89. – Iss. 3. A. – P. 21–28.

19. Xuesong, F. Evaluating target speeds of passenger trains in China for energy saving in the effect of different formation scales and traction capacities / Xuesong Feng, Jia Feng, Keqi Wua. – Intern. J. of Electrical Power & Energy Systems. – 2012. – Vol. 42. – Iss. 1. – P. 621–626. doi: 10.1016/ j.ijepes.2012.04.055.



DOI: https://doi.org/10.15802/stp2014/30763

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

 

ISSN 2307–3489 (Print)
ІSSN 2307–6666 (Online)