Filippov D. Development of method of secondary sources for the design of plane-parallel magnetic field of the electromagnetic systems

The thesis is devoted to development of method of secondary sources, in part of his numeral realization, for the design of plane-parallel of magnetic field of electromagnetic systems. For secondary sources such as a simple layer of fictitious magnetic charges in the derivation of a system of linear algebraic equations (SLAE) the principle of continuity of magnetic flux is used, written in integral form for surfaces that cover every element of the boundary of the ferromagnetic bodies. For secondary sources such as a simple layer of magnetization currents and double layer of fictitious magnetic charges in the derivation of SLAE Ampere’s circuital law is used, written in integral form for closed contours, covering every element of the boundary of the ferromagnetic bodies. A mathematical model of the system of the extended ferromagnetic conductors, located in a plane-parallel sinusoidal in time magnetic field, in the form of a system of integral equations is built. This mathematical model is applicable to the calculation of the electromagnetic field and the traction of a linear induction motor. The computational efficiency of the developed SLAE method is demonstrated by the example of the magnetic field of constant current electromagnet and the electromagnetic field and the traction of a linear induction motor estimate. The veracity of the results obtained in solution is confirmed by obtaining the tasks in several ways, the existence of analytical solutions for linear induction motor and experimental study of a linear induction motor.