Optimal Design of High Power Electronic Devices by Topology Optimization

High power electronic devices such as converter modules are frequently used as electric drives for high power electromotors. The efficient and reliable operating behaviour of such devices requires an optimal design with regard to a minimization of power losses due to parasitic inductivities caused by eddy currents. The mathematical modelling gives rise to a topology optimization problem where the state variables are required to satisfy the quasistationary limit of Maxwell’s equations and the design variables are subject to both equality and inequality constraints. Based on appropriate finite element approximations involving domain decomposition techniques, the discretized optimization problem is solved by a primaldual Newton interior-point method.

[1]  R. Hoppe,et al.  Primal-Dual Newton-Type Interior-Point Method for Topology Optimization , 2002 .

[2]  R. Hoppe,et al.  Residual based a posteriori error estimators for eddy current computation , 2000 .

[3]  G. Wachutka,et al.  Numerical Analysis of Distributed Inductive Parasitics in High Power Bus Bars , 1999 .

[4]  P. Deuflhard,et al.  Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations , 1997 .

[5]  R. Hiptmair Multigrid Method for Maxwell's Equations , 1998 .

[6]  Gerhard Wachutka,et al.  Numerical Simulation of Microstructured Semiconductor Devices, Transducers, and Systems , 1999 .

[7]  J. Nédélec A new family of mixed finite elements in ℝ3 , 1986 .

[8]  Ronald H. W. Hoppe,et al.  Topology Optimization of Conductive Media Described by Maxwell's Equations , 2000, NAA.

[9]  J. Nédélec Mixed finite elements in ℝ3 , 1980 .

[10]  Ronald H. W. Hoppe,et al.  Domain Decomposition Methods in the Design of High Power Electronic Devices , 2000 .

[11]  Oszkar Biro,et al.  Various FEM formulations for the calculation of transient 3D eddy currents in nonlinear media , 1995 .

[12]  Habib Ammari,et al.  A Justification of Eddy Currents Model for the Maxwell Equations , 2000, SIAM J. Appl. Math..

[13]  F. BEN BELGACEM,et al.  The Mortar Finite Element Method for 3D Maxwell Equations: First Results , 2001, SIAM J. Numer. Anal..

[14]  G. Wachutka,et al.  Edge finite element analysis of transient skin effect problems , 2000 .

[15]  Hans-Joachim Bungartz,et al.  High Performance Scientific And Engineering Computing , 1999 .