Model of Three-Dimensional Magnetic Field of the Stator of Cylindrical Electromagnetic Stirrer with Allowance for Magnetization Currents Distribution on the Magnetic Circuit Surface

EVDOKIMOV V. F., KUCHAEV A. A., PETRUSHENKO E. I., KUCHAEV V. A.

ABSTRACT

A model of three-dimensional magnetic field of the cylindrical electomagnetic stirrer (EMS) based on the scalar system of integral equations (SIE) was obtained as a result of simplification of the vector SIE for magnetization current (MC) on the magnetic circuit surface of the EMS. This system unknowns are projections of density vectors MC which lie in the plane tangential to the magnetic circuit surface. The problem has been formulated in a form of the vector SIE for MC on the magnetic circuit surface, and formulas have been presented which are used for the vector SIE transformation into the scalar one.

KEYWORDS

three-dimensional magnetic field, electromagnetic stirrer, magnetic circuit, currents of the magnetization, vector integral equations, integral equations of the scalar system.

REFERENCES

1. Naydek, V.L., Dubodelov, V.I., Evdokimov, V.F. and et al. (2004), “Two-dimensional integro-differential model of the distribution of eddy currents and electrodynamic forces in the mold induction agitator continuous casting machine”, Elektronnoe  modelirovanie,  Vol.  26, no. 1, pp. 30-52.  
2. Dubodelov, V.I., Evdokimov, V.F., Kondratenko, I.P. and et al. (2005),  “A block algorithm implementation of two-dimensional integral model of sinusoidal distribution of eddy currents and electrodynamic efforts in the mold induction stirring-defined”,  Ibid., Vol. 27, no. 4, pp. 57-74.   
3. Evdokimov, V.F., Kuchaev, A.A., Petrushenko, Ye.I. and Kasyan, G.I. (2010), “Two-dimensional integral model of sinusoidal distribution of eddy currents and electrodynamic efforts in crystallizer with salient-pole electromagnetic stirrer”, Ibid.,  Vol. 32, no. 1, pp. 53-75.    
4. Evdokimov, V.F., Kuchaev, A.A., Petrushenko, Ye.I. and  Kuchaev, V.A.  (2011), “ A two-dimensional model of the distribution of sinusoidal eddy currents and electrodynamic efforts in the crystallizer with  salient-pole electromagnetic stirrer on the basis of integral equations for symmetrical components, Proc. of XV Int. Conf. on Dynamical System Modelling and Stability Investigation «DSMSI-2011",  Kiev, May 25-27, 2011, p. 178.     
5. Evdokimov, V., Kuchaev, A., Petrushenko, Е. and Kuchaev, V. (2011), “Numerical Analysis of Distribu­tion of Eddy Currents and Electromagnetic Forces in Liquid Phase of Continuously Cast Bil­let on Base of the Integral Equations for Symmetrical Components”, Proc. 8^th Pamir Intern. Conf. on Fundamental and Applied MHD, Borgo, Corsica, France,  September 5-9,  2011,  Vol. 1, pp. 335-339.
6. Evdokimov, V.F., Kuchaev, A.A., Petrushenko, Ye.I. and  Kuchaev, V.A.  (2010), “Three-dimensional integral model of the magnetic field of the electromagnetic stirrer” , Elektronnoe  modelirovanie,  Vol, 32, no. 4, pp.  93-112.  
7. Evdokimov, V.F.,  Kuchaev, A.A.,  Petrushenko, Ye.I. and  Kuchaev, V.A. (2010), “Three-dimensional model of the distribution of eddy currents in the molten steel of continuous casting with electromagnetic stirring”, Ibid, Vol. 32, no.  6, pp. 69-84.

Full text: PDF (in Russian)