Engineering Transactions, 65, 2, pp. 269–287, 2017

Improvement of Solenoid Valve Performance by Axial Slots Inserted in the Armature

Robert GORAJ

Germany

The article presents numerical investigations of the influence axial slots inserted in the armature of a solenoid valve (SV) on the magnetic and frictional force acting on the armature
during its movement. The numerical computations were performed using the method of finite differences. The computational room of the magnetic solution was the radial air gap of a SV.
In the case of the fluid mechanical solution the computation room was the oil film. Both of these rooms were functions of the circumferential position of the armature. These computational rooms were transformed to the co-ordinate system in each they get a rectangle. This transformation was performed by means of the Laplace operator derived using a function shoal and the differential geometry. The computed distributions of magnetic energy density in the radial air gap and the magnitude of the magnetic flux density on the side surface of the eccentrically positioned armature in the magnet yoke were presented and discussed. These distributions in the case of both slotted and non-slotted armature were visualised in the transformed coordinate systems and compared to one another. Also the distribution of the oil velocity in the oil film and the distribution of the shear stress vector at two different temperatures were shown in figures.
Keywords: solenoid valve; armature; air gap; magnetic permeance
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

Goraj R., Impact of the pulse width modulation on the temperature distribution in the armature of the solenoid valve, International Journal of Applied Mechanics and Engineering, 20(4): 773–786, 2015.

Vogel R., Numerical calculation of the armature friction of an electromagnetic switching valve. Studies work [in German], Universität Dortmund, Dortmund 2006.

Deland D.L., Solenoid arrangement with segmented armature member for reducing radial force. Davison, MI (US) Patent US 8,421,568 B2, 16 April 2013.

Goraj R., Electromagnetic switching valve [in German]. Germany Patent DE 10 2007 023 363 A1, 18 Mai 2007.

Bottauscio O., Chiampi M,. Manzin A., Different finite element approaches for electromechanical dynamics, IEEE Transactions on Magnetics, 40(2): 541–544, 2004.

Peng L., Liyun F., Qaisar H., De X., Xiuzhen M., Enzhe S., Research on key factors and their interaction effects of electromagnetic force of high-speed solenoid valve, The Scientific World Journal. Hindawi Publishing Corporatio, Article ID 567242, 2014.

Angadi S.V., Jackson S., Choe S., Reliability and life study of hydraulic solenoid valve. Part 1: A multi-physics finite element model, Engineering Failure Analysis, 16(3): 874–887, 2009.

Epstein M., Differential geometry, basic notions and physical examples, Springer, 2014.

McInerney A., First steps in differential geometry, Riemannian, contact, symplectic, Springer, New York 2013.

Nguyen-Schäfer H., Schmidt J.-P., Tensor analysis and elementary differential geometry for physicists and engineers, Springer, Berlin, Heidelberg, 2014.

Goraj R., Re-derivation of Laplace operator on curvilinear coordinates used for the computation of force acting in solenoid valves, Journal of Applied Mathematics and Computational Mechanics, 15(1): 25–38, 2016.

Getzlaff M., Fundamentals of magnetism, Springer, Berlin, Heidelberg, 2008.

Rawa H., Electricity and Magnetism in technology [in Polish], Wydawnictwo Naukowe PWN, Warszawa 2001.

Küpfmüller K., Kohn G., Theoretical Electrical Engineering and Electronics [in German], Springer, Berlin 1993.

Stefanita C.-G., Magnetism, basics and applications, Springer, Berlin, Heidelberg 2012.

Kallenbach E., Eick R., Quendt P., Ströhla T., Feindt K., Kallenbach M., Radler O., Electromagnets basics, calculation, design and application [in German], Teubner Verlag/ GWV Fachverlage GmbH, Wiesbach 2003.

Greenwood J., Williamson J., Contact of nominally flat surfaces, Proceedings of The Royal Society. A: Mathematical Physical and Engineering Sciences, 295:300–319, 1966.

Kleist A., Calculation of sealing and bearing joints in hydrostatic machines [in German], Shaker Verlag, Aachen 2002.

Puzyrewski R., Sawicki J., Fundamentals of fluid mechanics and hydraulics [in Polish], Wydawnictwo Naukowe PWN, Warszawa 2000.

Gryboś R., Exercises in the technical mechanics of fluids [in Polish], Wydawnictwo Naukowe PWN, Warszawa 2002.

Landau L., Lifshitz E., Fluid mechanics. Course of theoretical physics. Vol. 6, Pergamon Press, 1966.

Goraj R., Impact of the sleeve thickness on the armature eccentricity in a solenoid valve, Archives of Electrical Engineering, 65(2): 371–382, 2016.