A modification of the finite analytic numerical method for conduction-type (diffusion) problems is presented. The finite analytic discretization scheme is derived by means of the Fourier series expansion for the most general case of nonuniform grid and variable diffusion coefficients. The...

This contribution presents methods for the mathematical modeling of mechatronic systems based on tensor analysis in combination with graph theory. Tensor analysis is an effective and universal tool for the common description of electrical and mechanical systems in a geometric way. Efficient...

In order to know the behavior of the annular induction plasma device and to define its operating conditions at atmospheric pressure, a three-dimensional numerical magneto-thermal model based on the nodal finite element method is presented. The calculation has been done to evaluate the influence...

Electromagnetic forces generate vibrations in the end-winding support structure of large turbine generators under fault conditions. To study this phenomenon, a 3D electromagnetic model for the computation of the forces on the conductor bars, is described. The model is then applied to the study...

In this paper, optimal experimental design for parameter estimation of unstructured microbial growth models during growth of biomass on a single limiting substrate in a fed-batch bioreactor is considered. The ratio of the largest to the smallest eigenvalue of the Fisher information matrix (i.e.,...

As soon as space harmonics are taken into account in induction machine model, the magnetic flux becomes a non linear term in regards to time and electrical angle. So superposition principle must be used carefully and decoupling space harmonics effects can lead to information losses.

This paper is devoted to modelling and identification of nonlinear dynamic systems. At first, we propose a new input–output representation to describe highly and/or large-scale nonlinear processes. The proposed mathematical model is nonlinear in parameters and is written as a product of...

We illustrate the relationship between computer algebra (CA) and artificial intelligence (AI) through several results we have achieved in recent years. We demonstrate that there exists a bridge between these two domains. Specifically, we show that setting CA within a framework of knowledge...

The paper discusses the practical importance of and techniques for modelling and analysis of hybrid systems. The emphasis of the discussion is on the problems encountered for systems of realistic size as they arise in technical applications and on potentially effective modelling paradigms and...