A new integral formulation is presented, enabling the computation of resistive, inductive, and capacitive effects considering both conductors and dielectrics in the frequency domain. The considered application allows us to neglect any propagation effects and magnetic materials. In this paper, we will show how to improve the unstructured-partial element equivalent circuit approach to consider dielectric materials, keeping the same benefits. Results obtained with this formulation are compared to results from an industrial finite-element method software and measurements.
The rise of shape and topology optimization techniques has opened new possibilities to find innovative designs for electromagnetic devices such as actuators or rotating machines. This paper provides an analytical sensitivity analysis for the magnetic force and torque based on the virtual work principle and suitable for those kinds of optimization.
A particular integral equation for magnetostatic problems is solved performing the hybrid cross approximation (HCA). This approximation technique is briefly compared with the fast multipole method on an electrostatic example. The relevancy and the versatility of the HCA is assessed on magnetostatic examples by comparison with the adaptive cross approximation. Index Terms-H-matrix, hybrid cross approximation (HCA), integral equation, magnetostatic.
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