Force Calculation in 3-D Magnetic Equivalent Circuit Networks With a Maxwell Stress Tensor

Magnetic equivalent circuit (MEC) models are increasingly valuable for analysis and design of electromechanical devices, particularly electrical machines, because of their moderate computational effort and reasonable accuracy. Force and torque calculations in prior MEC implementations are almost exclusively based on the virtual work method (VWM) adapted to the specific device model. But VWM does not easily extend to a general MEC modeling approach. In this paper, the more direct Maxwell stress tensor (MST) method is applied to a general 3-D MEC modeling framework. MST theory and implementation are presented. Its application is discussed with the example of an electromagnet. Results are compared to both measurements and analytical and finite-element models.

[1]  Thomas A. Lipo,et al.  Introduction to AC machine design , 2017 .

[2]  Thomas A. Lipo.  Novel reluctance machine concepts for variable speed drives , 1991, [1991 Proceedings] 6th Mediterranean Electrotechnical Conference.

[3]  Zhuoxiang Ren,et al.  Comparison of different force calculation methods in 3D finite element modelling , 1994 .

[4]  S. J. Salon,et al.  Finite element analysis of electrical machines , 1995 .

[5]  P.T. Krein,et al.  3-D Magnetic Equivalent Circuit Framework for Modeling Electromechanical Devices , 2009, IEEE Transactions on Energy Conversion.

[6]  Jafar Milimonfared,et al.  A comprehensive method for the calculation of inductance coefficients of cage induction machines , 2003 .

[7]  P.T. Krein,et al.  Magnetic Equivalent Circuit Modeling of Induction Machines Design-Oriented Approach with Extension to 3-D , 2007, 2007 IEEE International Electric Machines & Drives Conference.

[8]  C. G. Veinott,et al.  Theory and design of small induction motors : an introduction to the engineering principles and characteristics, theory, design and performance calculations of split-phase,capacitor, and polyphase induction motors in the fractional-horsepower and small integral-horsepower ranges , 1959 .

[9]  Andrew Ewen Ritchie,et al.  Analysis of a Permanent Magnet Machine Using Reluctance Network , 1996 .

[10]  Vlado Ostović,et al.  Dynamics of Saturated Electric Machines , 1989 .

[11]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[12]  T. A. Lipo,et al.  Magnetic circuit modelling of the field regulated reluctance machine. Part I: model development , 1996 .

[13]  T. W. Preston,et al.  Implementation of the finite-element method into machine design procedures , 1993 .

[14]  Marco Amrhein,et al.  Induction Machine Performance Improvements: Design-Oriented Approaches , 2007 .

[15]  P.T. Krein,et al.  Magnetic Equivalent Circuit Simulations of Electrical Machines for Design Purposes , 2007, 2007 IEEE Electric Ship Technologies Symposium.

[16]  P. L. Alger,et al.  Induction machines, their behavior and uses , 1995 .

[17]  Ewen Ritchie,et al.  A magnetic equivalent circuit approach for predicting PM motor performance , 1997, IAS '97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting.

[18]  A.B.J. Reece,et al.  Force and torque computation from 2-D and 3-D finite element field solutions , 1999 .

[19]  Patrick Wheeler,et al.  Efficient dynamic models for induction machines , 1999 .

[20]  S.D. Pekarek,et al.  Application of evolutionary programming to optimize the rotor pole geometry of a wound rotor synchronous machine , 2004, IEEE Power Engineering Society General Meeting, 2004..