COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering · 2004 · 23 citations · 8 references
EngineeringElectrical EngineeringMathematicsDesign OptimizationFinite Element AnalysisFinite Element MethodsMagnetic Circuit AnalysisOptimization Under UncertaintyOptimization-based DesignReliability ModelingReliability-based DesignTopology OptimizationOptimal DesignProbabilistic DesignProbabilistic Design OptimizationReliability Index AnalysisReliability-based IndexReliability-based Topology OptimizationReliability-driven Design OptimizationTopology Optimization Under Uncertainty
This paper presents a probabilistic optimal design for electromagnetic systems. A 2D magnetostatic finite element model is constructed for a reliability-based topology optimization (RBTO). Permeability, coercive force, and applied current density are considered as uncertain variables. The uncertain variable means that the variable has a variance on a certain design point. In order to compute reliability constraints, a performance measure approach is widely used. To find reliability index easily, the limit-state function is linearly approximated at each iteration. This approximation method is called the first-order reliability method, which is widely used in reliability-based design optimizations. To show the effectiveness of the proposed method, RBTO for the electromagnetic systems is applied to magnetostatic problems.
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A New Study on Reliability-Based Design Optimization
Jian Tu, Kyung K. Choi, Y. H. Park · Journal of Mechanical Design · 1999 · 984 citations