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Based on the sensitivity approach a new algorithm for optimal shape design has been presented in this paper. The Singular Value Decomposition (SVD) of the sensitivity matrix and the Least Distance Programming (LDP) [3] have been used in order to define a direction vector. —Two types of side constraints have been imposed to control the mathematical technique and to avoid undesirable shapes. — The algorithm is illustrated by its application to modify the magnetic pole contour so that a desired magnetic field distribution in the air gap is obtained.
Übersicht
In dem vorliegenden Aufsatz wurde ein neuer Algorithmus, der auf der Empfindlichkeit beruht, zum optimalen Gestaltentwurf herangezogen. — Die Dekomposition der Empfindlichkeitsmatrix gegen ihre Singularwerte und die Programmierung der kleinsten Distanzen [3] wurden verwendet, um den Richtungsvektor zu definieren. — Zwei Arten von den Randbedingungen wurden vorgegeben, um die mathematische Technik zu überprüfen und unerwünschte Konturen zu vermeiden. — Dieser Algorithmus wird anhand der Modifizierung eines Magnetpols veranschaulicht, um zur erwünschten magnetischen Feldverteilung im Luftspalt zu gelangen.
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Sikora, J. Sensitivity approach to the optimal shape design of a magnetic pole contour. Archiv f. Elektrotechnik 72, 27–32 (1989). https://doi.org/10.1007/BF01573566
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DOI: https://doi.org/10.1007/BF01573566