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Open AccessPreprint10.48550/arxiv.2312.16984

Reformulation and generalisation of the air-gap element

Herbert De Gersem,Thomas Weiland-2023-12-28-arXiv (Cornell University)

TL;DRAbstract

The air-gap macro element is reformulated such that rotation, rotor or stator skewing and rotor eccentricity can be incorporated easily. The air-gap element is evaluated using Fast Fourier Transforms which in combination with the Conjugate Gradient algorithm leads to highly efficient and memory inexpensive iterative solution scheme. The improved air-gap element features beneficial approximation properties and is competitive to moving-band and sliding-surface technique.

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The air-gap macro element is reformulated such that rotation, rotor or stator skewing and rotor eccentricity can be incorporated easily. The air-gap element is evaluated using Fast Fourier Transforms which in combination with the Conjugate Gradient algorithm leads to highly efficient and memory inexpensive iterative solution scheme. The improved air-gap element features beneficial approximation properties and is competitive to moving-band and sliding-surface technique.

Keywords

Air gap (plumbing)Element (criminal law)Conjugate gradient methodRotor (electric)Rotation (mathematics)Fourier transformStatorScheme (mathematics)

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