Shape and topology optimization of a permanent-magnet machine under uncertainties

• Published in: Journal of mathematics in industry Vol. 6; no. 1; p. 1
• Main Authors: Putek, Piotr, Pulch, Roland, Bartel, Andreas, ter Maten, E Jan W, Günther, Michael, Gawrylczyk, Konstanty M
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 08.11.2016; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied mathematics; Computer engineering; Fuzzy sets; Load; Math. Appl. in Environmental Science; Mathematical and Computational Biology; Mathematical and Computational Engineering; Mathematical Methods in Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Methods; Noise; Optimization; SCEE 2014; continuous design sensitivity analysis; robust low cogging torque design; level set method; topology and shape optimization; weighted average method; trade-off method; stochastic collocation method; random partial differential equation

Our ultimate goal is a topology optimization for a permanent-magnet (PM) machine, while including material uncertainties. The uncertainties in the output data are, e.g., due to measurement errors in the non-/linear material laws. In the resulting stochastic forward problem, these uncertainties are s...