Abstract
This paper proposes a robust and reliability-based shape optimization method to find the optimal design of a permanent magnet (PM) synchronous machine . Specifically, design of rotor poles and stator teeth is subjected to the shape optimization under manufacturing tolerances/imperfections and probabilistic constraints. In a forward problem, certain parameters are assumed to be random. This affects also a shape optimization problem, which is formulated in terms of a tracking-type robust cost functional. The latter is equipped with probabilistic constraints in order to attain a new, desired, robust design. The topological gradient is evaluated using the Topological Asymptotic Expansion Method , to which we apply a Stochastic Collocation Method. In the end, to illustrate our approach, we provide the optimization results for a 2D model of the PM machine.
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Notes
- 1.
The Electrically Controlled Permanent Magnet Excited Synchronous Machine was investigated within the scientific project under grant no. N510 508040 (2011–2013), Poland.
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Putek, P., Bartel, A., Maten, E. .t., Günther, M. (2020). Shape Optimization of a PM Synchronous Machine Under Probabilistic Constraints. In: Nicosia, G., Romano, V. (eds) Scientific Computing in Electrical Engineering. SCEE 2018. Mathematics in Industry(), vol 32. Springer, Cham. https://doi.org/10.1007/978-3-030-44101-2_23
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