A new simulation approach of the electromagnetic fields in electrical machines

Improving efficiency in determining the inductance for the active part of an electric machine's armature by methods of field modeling

“…However, its use is limited and possible only for the systems with materials having linear magnetic properties. For effective numerical implementation of field models for EM [21] and transformers [22], it was proposed to use differentiation of sizes of finite elements and approximations by first-order Lagrange polynomials. Application of this approach would significantly reduce computation and time resources when modeling in a PC.…”

“…Calculation subranges of the 3D model are divided into three-dimensional finite elements and have a tetrahedral shape. The tetrahedra faces are approximated by the first-order Lagrange polynomials which, according to [21], is sufficient to ensure high accuracy of calculations.…”

“…For the subregion of the anchor core made of cold rolled isotropic electrical steel with a pronounced nonlinearity of magnetic properties, dimensions of finite elements decrease and increase as they approach the outer boundary of the calculation subrange. This makes it possible to implement numerically the model with high accuracy at smaller computational and time resources [21,22]. Results of 3D modeling are presented by distribution of the z-component of magnetic potential vector Az along entire active part of the armature (Fig.…”

Analysis of inrush currents of the unloaded transformer using the circuit­field modelling methods

“…Field simulation makes it possible to take into consideration the design features of the active part of the power transformer, the non-linearity in the properties of active materials and their effect on the magnetization currents [23]. Field models are widely used in the analysis of electromagnetic processes in AC conversion systems [24,25] and electric motors [26,27]. The numerical realization of dynamic field models in multicomponent regions with non-linear electrical-physical and magnetic properties gives rise to constraints, related to the capacity of hardware resources, time costs, and stability of computational processes [23].…”

Enhancing the effectiveness of calculation of parameters for short circuit of three­phase transformers using field simulation methods

“…However, its application is limited only to systems that have linear magnetic properties of materials. In papers [22][23][24], it is proposed to use the differentiation of dimensions of finite elements and approximation by Lagrange first order polynomials for effective numerous implementations of the field models. The application of this approach to power transformers is complicated by the significant nonlinearity of magnetic properties and the difference of geometric dimensions of separate elements [25][26][27].…”