Abstract:-Dual finite element formulations are developed for modeling both inductive and capacitive effects in massive inductors. Mixed finite elements are used to satisfy each chosen conformity level for the unknown fields and to naturally define the global quantities involved in the inductive and capacitive circuit relations, to be used in circuit coupling. The interest of satisfying conformity properties for the considered magnetic and electric coupled problems is shown and the related mathematical and discrete tool… Show more
“…In power applications, several approaches have been proposed to approximate the capacitive effects without solving the full-wave Maxwell problem: the coupling of different quasistatic finite-element (FE) formulations [3], or circuit models with parameter extraction based either on the method of moments [2] or the FE method [1] (and references herein).…”
This paper proposes a reduced-order model of power electronic components based on the proper orthogonal decomposition. Starting from a full-wave finite-element model and several snapshots/frequencies, the reduced-order (RO) model is constructed. Local field values (e.g. magnetic flux density, electric current density, magnetic or electric field) and global quantities (e.g. characteristic complex impedance, joule losses) can be determined for the intermediate frequencies with a very low computational cost and high accuracy. Particular attention is paid to the choice of the most suitable snapshots by means of three different greedy algorithms, the performance of which is compared. We adopt an automatic greedy algorithm that only depends on the RO model.
“…In power applications, several approaches have been proposed to approximate the capacitive effects without solving the full-wave Maxwell problem: the coupling of different quasistatic finite-element (FE) formulations [3], or circuit models with parameter extraction based either on the method of moments [2] or the FE method [1] (and references herein).…”
This paper proposes a reduced-order model of power electronic components based on the proper orthogonal decomposition. Starting from a full-wave finite-element model and several snapshots/frequencies, the reduced-order (RO) model is constructed. Local field values (e.g. magnetic flux density, electric current density, magnetic or electric field) and global quantities (e.g. characteristic complex impedance, joule losses) can be determined for the intermediate frequencies with a very low computational cost and high accuracy. Particular attention is paid to the choice of the most suitable snapshots by means of three different greedy algorithms, the performance of which is compared. We adopt an automatic greedy algorithm that only depends on the RO model.
“…Alternatively to full-wave FE computations, one can directly integrate the estimated winding capacitance in the electrical circuit constraint of global winding voltage and current in parallel with the device at the terminal, 18 or use a dual formulation coupling magnetodynamics and electrostatics formulations. 26…”
This paper deals with the synthesis of an RL Cauer ladder network to homogenize multiturn windings in time-domain finite element (FE) computations. In frequency domain, the macroscopic model of eddy currents in the winding can be described by frequency-dependent complex impedance and reluctivity for skin and proximity effects respectively. To represent those in time domain, two RL Cauer networks are synthesized to match each, with the accuracy depending on the order of the network to be appended. The proposed method yields an improved accuracy as compared with the previous work in which the topology of the ladder network was not well chosen. The results are validated by means of a 2-D axisymmetric inductor with a nonlinear gapped core.
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