Yakimov O. Mathematical modeling and optimal synthesis of axially-symmetrical magnetic field sources with ferromagnetic elements

Object of research - the process of magnetic field forming with given topography in magnetic field sources (MFS) with ferromagnetic constructive elements (FE); objective of work is development of improved mathematical models of axially-symmetrical (AS) MFS with FE, and bionic method of its optimal parametric synthesis; methods of research are based on the use of next theories: electromagnetic field, integral equations, linear algebra, theory of optimization; theoretical results: first proposed a method of optimal parametric synthesis of AS MFS with FE, which allows decreasing a complexity of solved problem of synthesis at the expense of reducing its dimension and taking into account a translational symmetry of discretization elements; first developed a hybrid bionic method optimization, which gives ability to find global optimal parameters of geometrical models of MFS; first proposed a hybrid method of vector optimization, allowing to find Pareto-optimal parameters of MFS; a mathematical models of AS MFS with FE have received further development, which allow increasing solution efficiency of magnetic field analysis problem in within the synthesis problem. Practical results - the software was created, which realizes proposed algorithms; the ferroprobe coercimeter and magnetized device were developed. Degree of application - main results are introduced on the Public Corporation "Unost", and on the Private Corporation "Luganskteplovoz". Scope (branch) of use - magnetic nondestructive control, and magnetic measurements.