An Energy-Compliant Magnetodynamic Error Criterion for Eddy-Current Calculations

Rondot, Loïc; Mazauric, Vincent; Wendling, P.

doi:10.1109/tmag.2010.2041054

Cited by 8 publications

(4 citation statements)

References 21 publications

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“…Whereas the local behavior of the criterion under mesh refinement was manually studied in 2-D-transient without magnetic material or motion [13]; and in 3-D-magnetoharmonic with magnetic material only [14], an iterative remeshing technique [2] is coupled with the criterion (18). It consists of splitting each targeted element, the neighbors of which are also split to ensure conformity.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Adaptive Meshing for Eddy Current Calculations

et al. 2015

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In order to address their considerable impacts on both energy efficiency and performance requirements, eddy currents modeling and its accuracy are discussed from a thermodynamic approach. A dedicated error criterion is first described in a general framework, i.e., without any assumption about the potential formulation, including possible body motion, and independent from the dimension of the problem. After implementation, preliminary validation is given on an induction heating problem and an induction machine. As expected, the thermodynamic functional provides the global convergence of the calculation within an iterative procedure, whereas the conservation of the electromagnetic power is assessed locally to highlight the ill-checked elements.

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Section: Numerical Resultsmentioning

confidence: 99%

“…By the inspection of (10), the consistency of any transient solution with energy conservation may be assessed through the local deviation of the Poynting's equation (13) …”

Section: ) the Joule Losses Monitored In Conductorsmentioning

confidence: 99%

Adaptive Meshing for Eddy Current Calculations

et al. 2015

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“…The above approach provides an understanding of power transactions that can be applied at different length scales, e.g. from materials involved in electrical engineering to apparatus design and grid management [40,41,42]. To describe a given subsystem V, it is convenient to introduce the electrical power P elec (V) which measures the local deviation of V from the equilibrium.…”

Section: Magnetic and Kinetic Reserves Stored In A Power Systemmentioning

confidence: 99%

Impacts of intermittent sources on the quality of power supply: The key role of reliability indicators

2014

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International audienceThe reliability of power supply, defined as the ability to recover a steady-state condition after a sudden disturbance, is crucial for operating power systems. It is usually ensured by controlling voltage and frequency deviations and involves events occurring from a few milliseconds to a few hours. However, reliability requirements are largely ignored when dealing with long-term issues. To reconcile such contrasting timescales, it seems logical to rely on energy considerations based on thermodynamics. Two reliability indicators, assessing the magnetic and kinetic energy reserves of a power system, are derived from this approach. They enable to quantify the reliability of a given production mix and make it possible to choose between increasing shares of intermittent sources and maintaining an expected level of reliability. Since the indicators tackle reliability issues without focusing on a specific timescale, they are effective for both discussing the long-term evolution of reliability and improving the real-time management of a power system

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“…It consists in evaluating the numerical solution quality using different estimator techniques. A quick and certainly non-exhaustive review of the different estimation techniques is presented in the introduction of the paper [6], and we can cite also [7] for superconvergent patch recovery (SPR) error estimator. A lot of work have been developed for magneto-harmonic FEM as shown in [8], [9], [10], but not yet for the unstructured PEEC method.…”

Section: Introductionmentioning

confidence: 99%

Error Estimation and Adaptive Mesh Refinement for the Unstructured Inductive PEEC Formulation

et al. 2022

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An adaptive mesh refinement procedure is presented in order to address efficiently low frequencies electromagnetic problems with the unstructured PEEC method. An a posteriori error estimator based on an equilibrated energy criterion is proposed, which means that two dual solutions are necessary. Actually, knowing that there is no dual formulation for the PEEC method, an auxiliary method is proposed in order to calculate a second admissible solution. This method is based on a projection of the PEEC solution from facets to edges function space in order to ensures the continuity of the electric field in the mesh. Two test cases have been treated in order to show the efficiency of the procedure. First, an inductive coupling test case which is the TEAM Workshop problem no • 7. Second, a circuit coupling test case which is a laminated busbars, this last one being treated for a low frequency case and also for the DC case. Adaptive mesh refinement procedure has shown great potential and makes the unstructured PEEC method much more functional and attractive for modeling complex devices.

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An Energy-Compliant Magnetodynamic Error Criterion for Eddy-Current Calculations

Cited by 8 publications

References 21 publications

Adaptive Meshing for Eddy Current Calculations

Adaptive Meshing for Eddy Current Calculations

Impacts of intermittent sources on the quality of power supply: The key role of reliability indicators

Error Estimation and Adaptive Mesh Refinement for the Unstructured Inductive PEEC Formulation

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