FEM using projection of physical properties suitable for movement modeling and optimization processes

Abstract

Purpose Optimization processes and movement modeling usually require a high number of simulations. The purpose of this paper is to reduce global central processing unit (CPU) time by decreasing each evaluation time. Design Methodology Approach Remeshing the geometry at each iteration is avoided in the proposed method. The idea consists in using a fixed mesh on which functions are projected to represent geometry and supply. Findings Results are very promising. CPU time is reduced for three dimensional problems by almost a factor two, keeping a low relative deviation from usual methods. CPU time saving is performed by avoiding meshing step and also by a better initialization of iterative resolution. Optimization, movement modeling and transient-state simulation are very efficient and give same results as usual finite element method. Research Limitations Implications The method is restricted to simple geometry owing to the difficulty of finding spatial mathematical function describing the geometry. Moreover, a compromise between imprecision, caused by the boundary evaluation, and time saving must be found. Originality Value The method can be applied to optimize rotating machines design. Moreover, movement modeling is performed by shifting functions corresponding to moving parts.

Level‐set‐based method for designing novel brushed synchronous machines

“…A level-set function is then projected on the mesh of the thin interface between brushes and segments. This function is given by (1), where n b is the number of brushes, τ b the brush pitch ratio angle and Θ the mechanical position.…”

“…Nevertheless, to take into account commutator power supply, it is necessary to implement a particular numerical magnetic model in finite element modeling. In a previous article, the authors developed an original method that performs projection of physical properties and sources, which avoids a remeshing, and applied it to the design problem of a permanent magnet synchronous machine 1 . In the present paper, they extend the concept to efficiently model the commutator system of brushed DC machines.…”

“…a remeshing, and applied it to the design problem of a permanent magnet synchronous machine. 1 In the present paper, they extend the concept to efficiently model the commutator system of brushed DC machines. Indeed, this method can lead to the coupling of the magnetic problem and the external electrical circuit to the current flow formulation at the commutator interface which make it easy to model brushed DC machine as only few methods exist as detailed in Reference 4.…”