Metamodel of Parametric Geometric Magnetostatic Problem Based on PGD and RBF Approaches

Boumesbah, Allaa Eddine; Tomezyk, J.; Henneron, Thomas

doi:10.1109/tmag.2022.3231464

Cited by 2 publications

(1 citation statement)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…PGD has been used in material applications to solve the 3D elasticity problems [53]. To mitigate the computational burden associated with solving a finite element (FE) model for magnetostatic problems characterized by variable geometric parameters, the PGD model has been applied successfully [54]. In light of these distinct advantages, the present research incorporates the employment of the PGD technique, further enhancing its capabilities by integrating frequency-dependent meshing into its core features.…”

Section: Introductionmentioning

confidence: 99%

Skin and Proximity Effect Calculation of a System of Rectangular Conductors Using the Proper Generalized Decomposition Technique

Tabei,

Gole,

Kordi

2024

Energies

View full text Add to dashboard Cite

This paper presents the application of a numerical approach known as proper generalized decomposition (PGD) to calculate the per-unit length (PUL) ac resistance of rectangular conductors. PGD has been successfully used in areas such as fluid mechanics and biomedical applications. It solves a partial differential equation (PDE) by decomposing the answer into a set of unknown one-dimensional (1D) functions in an iterative approach until it reaches a predetermined convergence. In this paper, a frequency-dependent meshing scheme is employed in the PGD technique at each frequency to properly take skin and proximity effects into account. One of the main advantages of PGD over traditional numerical approaches such as finite element or finite difference methods is that it confines the answers within a set of one-dimensional functions, which require fewer computational resources. Different examples of single and multiple rectangular conductors are considered to study skin and proximity effects. The PGD results are compared with those obtained using a commercial finite element method (FEM) software to verify the accuracy of the model. This approach can be used in applications such as white box modeling of transformers, EMC analysis, hairpin winding design used in electric vehicles, and busbar simulation.

show abstract

Section: Introductionmentioning

confidence: 99%