13:00
Session 8A: Mathematical Techniques
Chair: Maurizio Repetto
13:00
20 mins
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A PROCEDURE TO IDENTIFY UNIFORM DISTRIBUTION OF CURRENT DENSITY IN MAGNETIZING WINDING USING REGULARIZED SCALAR POTENTIAL FOR EDGE-BASED FEM
Yoshifumi Okamoto
Abstract: The numerical technique to realize the uniform current density vector is required for the modeling of stranded wire in the finite element discretization. This paper presents a technique of being uniform current density using the regularization to achieve the stable convergence of conjugate gradient method with IC factorization (ICCG). The proposed method is mainly composed of two parts, which are the determination of the current density solving Poisson’s equation and the regularization to assure div J0 = 0. We verified the effectiveness of proposed method by the application of typical winding structure.
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13:20
20 mins
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MULTI-LEVEL CONFLICT-FREE SCHEDULING FOR ELECTROPLATING PLANTS
Roland Eichardt, Uwe Graichen, Alexander Hunold, Jens Haueisen
Abstract: We present a multi-level optimization method to schedule carriers for an electroplating
production process. In our specific application, product carriers with individual processing requests may
be available only shortly before their intended start. This limits the optimization time for creating a
schedule to a few minutes or less. From the practical perspective, all optimization constraints must be
followed, whereas the minimization of the makespan is less critical. We show one scheduling example for
eleven carriers, where a conflict-free solution with acceptably low makespan was computed in 0.4s.
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13:40
20 mins
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A SPLINE-BASED SHAPE DERIVATIVE APPROACH FOR THE NONLINEAR MAGNETOSTATIC INTERFACE PROBLEM
Ulrich Römer, Sebastian Schöps, Thomas Weiland
Abstract: This work treats the shape sensitivity analysis of nonlinear magnetostatic interface problems. Based on both well-established and recent results in shape calculus, shape derivatives of fields and quantities of interest will be derived. Numerical results for shape derivatives and applications to magnet design based on a spline representation of geometries, as provided by the isogeometric finite element approach will be given.
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