Procedure for modeling dynamic processes of the electromechanical shock absorber in a subway car

Authors

DOI:

https://doi.org/10.15587/1729-4061.2019.181117

Keywords:

electromechanical shock absorber, subway car, Chebyshev polynomials, finite-element method, Lagrange equation

Abstract

A procedure has been devised for modeling the dynamic processes in the proposed structure of an electromechanical shock absorber. Such shock absorbers can recuperate a part of the energy of oscillations into electrical energy allowing the subsequent possibility to use it by rolling stock. The procedure is based on solving the Lagrange equation for the electromechanical system. The model's features are as follows. The model takes the form of a Cauchy problem, thereby making it possible to use it when simulating the processes of shock absorber operation. Two generalized coordinates have been selected (the charge and displacement of the armature). The components of the Lagrange equation have been identified. Based on the results from magnetic field calculation and subsequent regression analysis, we have derived polynomial dependences of flux linkage derivatives for the current and linear displacement of an armature, which make it possible to identify a generalized mathematical model of the electromechanical shock absorber. The magnetic field calculations, performed by using a finite-element method, have allowed us to derive a digital model of the magnetic field of an electromechanical shock absorber. To obtain its continuous model, a regression analysis of discrete field models has been conducted. When choosing a structure for the approximating model, a possibility to analytically differentiate partial derivatives for all coordinates has been retained. Based on the results from modeling free oscillations, it was established that the maximum module value of current is 0.234 A, voltage – 52.9 V. The process of full damping of oscillations takes about 3 seconds over 4 cycles. Compared to the basic design, the amplitude of armature oscillations and its velocity dropped from 13 to 85 % over the first three cycles, indicating a greater efficiency of electromechanical shock absorber operation in comparison with a hydraulic one. The recuperated energy amounted to 3.3 J, and the scattered energy – 11.5 J.

Author Biographies

Borys Liubarskyi, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Department of Electrical Transport and Construction of Diesel Locomotives

Natalia Lukashova, O. M. Beketov National University of Urban Economy in Kharkiv Marshala Bazhanova str., 17, Kharkiv, Ukraine, 61002

Аssistant

Department of Electrical Transport

Oleksandr Petrenko, O. M. Beketov National University of Urban Economy in Kharkiv Marshala Bazhanova str., 17, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Associate Professor

Department of Electrical Transport

Bagish Yeritsyan, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD

Department of Electrical Transport and Construction of Diesel Locomotives

Yuliia Kovalchuk, Higher State Educational Institution “Banking University” Peremohy ave., 55, Kharkiv, Ukraine, 61174

Postgraduate Student

Department of Finance and the Financial and Economic Security

Liliia Overianova, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Electrical Transport and Construction of Diesel Locomotives

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Published

2019-10-18

How to Cite

Liubarskyi, B., Lukashova, N., Petrenko, O., Yeritsyan, B., Kovalchuk, Y., & Overianova, L. (2019). Procedure for modeling dynamic processes of the electromechanical shock absorber in a subway car. Eastern-European Journal of Enterprise Technologies, 5(5 (101), 44–52. https://doi.org/10.15587/1729-4061.2019.181117

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Section

Applied physics