Modeling Skew by Single- and Multi-Slice 2-D Machine Models

Skew is taken into account in single- and multi-slice 2-D finite-element machine models by skew interface conditions applied at a cylinder hull in the center of the air gap. A set of biorthogonal basis functions is constructed to discretize the tangential magnetic field strength at the interface and to weakly enforce the tangential continuity of the magnetic vector potential. The harmonic filtering as a result of skew is already observed in a single-slice model. Multi-slice models with different numbers of stator and rotor slices increase the modeling accuracy.

[1]  Dimensional reduction of field problems in a differential‐forms framework , 2009 .

[2]  D. Rodger,et al.  Coupled elements for problems involving movement (switched reluctance motor) , 1990 .

[3]  H. De Gersem,et al.  Harmonic weighting functions at the sliding interface of a finite-element machine model incorporating angular displacement , 2004, IEEE Transactions on Magnetics.

[4]  Laura A. M. D’Angelo,et al.  Quasi-3D Discretization of Thermal Hot-Spot Propagation in Superconducting Models , 2020, IEEE Transactions on Applied Superconductivity.

[5]  Antero Arkkio,et al.  Modelling of induction machines with skewed rotor slots , 2001 .

[6]  A. Wathen,et al.  Minimum residual methods for augmented systems , 1998 .

[7]  M. Fortin,et al.  Mixed Finite Element Methods and Applications , 2013 .

[8]  Barbara Wohlmuth A COMPARISON OF DUAL LAGRANGE MULTIPLIER SPACES FOR MORTAR FINITE ELEMENT DISCRETIZATIONS , 2002 .

[9]  J. Bastos,et al.  Electromagnetic Modeling by Finite Element Methods , 2003 .

[10]  R. Wrobel,et al.  Optimization of permanent magnet shape for minimum cogging torque using a genetic algorithm , 2004, IEEE Transactions on Magnetics.

[11]  A. Buffa,et al.  A Sliding Mesh-Mortar Method for Two Dimensional Eddy Currents Model for Electric Engines , 1999 .

[12]  T. Preston,et al.  Finite Elements for Electrical Engineers , 1984 .

[13]  L. Vandevelde,et al.  Multi-slice FE modeling of electrical machines with skewed slots-the skew discretization error , 2001 .

[14]  S. Williamson,et al.  Representation of skew in time-stepped two-dimensional finite-element models of electrical machines , 1994 .

[15]  Z. Zhu,et al.  Investigation of Torque Ripples in Permanent Magnet Synchronous Machines With Skewing , 2013, IEEE Transactions on Magnetics.

[16]  Arnulf Kost,et al.  Numerische Methoden in der Berechnung elektromagnetischer Felder , 1994 .

[17]  Thomas Weiland,et al.  Trigonometric interpolation at sliding surfaces and in moving bands of electrical machine models , 2006 .

[18]  Thomas Weiland,et al.  Skew interface conditions in 2-D finite-element machine models , 2003 .

[19]  K. Hameyer,et al.  Biorthogonal Shape Functions for Nonconforming Sliding Interfaces in 3-D Electrical Machine FE Models With Motion , 2012, IEEE Transactions on Magnetics.

[20]  T.D. Kefalas,et al.  Special air-gap element for 2-D FEM analysis of electrical Machines accounting for rotor skew , 2005, IEEE Transactions on Magnetics.

[21]  Valéria Hrabovcová,et al.  Design of Rotating Electrical Machines , 2009 .

[22]  Adel Razek,et al.  A model for coupled magnetic-electric circuits in electric machines with skewed slots , 1990 .