# APPLICATION OF THE COMPUTING ENVIRONMENT MAPLE TO THE CALCULATION OF THE DYNAMICS OF THE ELECTROMAGNETS IN THE COMPLICATED SYSTEMS OF FORCED CONTROL

## Authors

• E. I. Baida National Technical University "Kharkiv Polytechnic Institute", Ukraine
• M. Clemens University of Wuppertal, Germany
• B. V. Klymenko National Technical University "Kharkiv Polytechnic Institute", Ukraine
• O. G. Korol National Technical University "Kharkiv Polytechnic Institute", Ukraine
• P. Ye. Pustovoitov National Technical University "Kharkiv Polytechnic Institute", Ukraine

## Keywords:

electromagnets, dynamics, forced control, switching devices, vacuum contactors, computing environment Maple

## Abstract

General description of the research topic. The authors propose a technique for calculating the dynamics of electromagnets operating in complex forced systems. Such forced electromagnets are widely used in electromechanical switching devices, in particular in vacuum contactors, to reduce their size, energy consumption and to increase speed, which indicates the relevance of this topic. A mathematical model of the dynamics of a forced electromagnetic system, which takes into account the peculiarities of behavior in transients of its individual elements the mechanical system, the magnetic and electrical circuits, taking into account the interaction of the electromagnet with a control device when the apparatus is activated, contains certain signs of scientific novelty and is the purpose of the paper. The technique of calculating the dynamics of forced electromagnets uses the computing environment Maple. The calculation is based on a mathematical model, which is a system of nonlinear differential equations of the magnetic and electric circuits, supplemented by the equations of motion of the elements of a mechanical system. The use of the computing environment Maple, applied here to automatically perform the mathematical transformations, allows avoiding the complicated processes of choosing the numerical integration method, programming of complex and cumbersome equations and numerical integration procedures, to obtain results of calculations in convenient tabular and/or graphic form. This specifically indicates the practical significance of this work. The results of the comparison of calculations with previously published experimental data presented in the paper indicate the high efficiency of the proposed models and techniques.

## References

Klymenko B.V. Forced electromagnetic systems. Moscow, Energoatomizdat, 1989. 160 p. (Rus).

Koltermann P.I., Assumpção Bastos J.P., Arruda S.R. A Model for Dynamic Analysis of AC Contactor. IEEE Transactions on Magnetics, 1992, vol. 28, no. 2, pp. 1348-1350. doi: 10.1109/20.123941.

Nowak L., Demenko A. 3D coupled field-circuit simulation of electromechanical converter dynamics. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 1998, vol. 17, no. 4, pp. 439-447. doi: 10.1108/03321649810210613.

Wada M., Yoshimoto H., Kitaide Y. Dynamic analysis and simulation of electromagnetic contactors with AC solenoids. IEEE 2002 28th Annual Conference of the Industrial Electronics Society, IECON 02, 5-8 Nov. 2002. doi: 10.1109/iecon.2002.1182829.

Ruiz J.-R. R., Espinosa A.G. A Novel Parametric Model for AC Contactors. IEEE Transactions on Magnetics, 2008, vol. 44, no. 9, pp. 2215-2218. doi: 10.1109/tmag.2008.2000544.

Li Y., Xia K., Liu W., Li D. Design and simulation anylysis of electromagnetic repulsion mechanism. 2010 IEEE International Conference on Industrial Technology, 2010. pp. 914-918. doi: 10.1109/ICIT.2010.5472562.

You Jiaxin, Liang Huimin, Ma Guangcheng, Chen Shuqing, Cai Zhaowen. Research on the dynamic calculation model for a DC solenoid electromagnetic contactor and its contact characteristics in break process. 2015 IEEE 61st Holm Conference on Electrical Contacts (Holm), San Diego, CA, 2015, pp. 191-194. doi: 10.1109/HOLM.2015.7355096.

Tatevosian A.S. Dinamika elektromagnitov [Dynamics of electromagnets]. Omsk, Omsk State Technical University Publ., 2016. 148 p. (Rus).

Bajda Ye.I., Klymenko B.V., Pantelyat M.G., Yelanskyi Yu.A., Trichet D., Wasselynck G. Peculiarities of calculating the dynamics of high-speed electromagnets using tunable elastic meshes. Book of Abstracts of the 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF'2019), Nancy, France, August 2019, 2 p., accepted.

Korol O.G., Klymenko B.V., Yeresko O.V. Investigations of transients in the forced control device for the monostable electromagnet of the vacuum contactor. Bulletin of NTU «KhPI». Series: Problems of Improvement of Electrical Machines and Apparatus. Theory and Practice, 2018, no. 32 (1308), pp. 34-40. doi: 10.20998/2079-3944.2018.32.06. (Ukr).

2019-06-25

## How to Cite

Baida, E. I., Clemens, M., Klymenko, B. V., Korol, O. G., & Pustovoitov, P. Y. (2019). APPLICATION OF THE COMPUTING ENVIRONMENT MAPLE TO THE CALCULATION OF THE DYNAMICS OF THE ELECTROMAGNETS IN THE COMPLICATED SYSTEMS OF FORCED CONTROL. Electrical Engineering & Electromechanics, (3), 18–23. https://doi.org/10.20998/2074-272X.2019.3.03

## Section

Electrical Machines and Apparatus