A Scaled Mesh/Nodal Formulation of Magnetic Equivalent Circuits With Motion

• Published in: IEEE transactions on energy conversion 2019-03, Vol.34 (1), p.58-69
• Main Authors: Horvath, Daniel Christopher, Pekarek, Steven D., Sudhoff, Scott D.
• Format: Article
• Language: English
• Subjects: Circuits; Condition number; Convergence; Equivalent circuits; Finite element method; Formulations; Integrated circuit modeling; Jacobian matrices; Magnetic circuits; magnetic equivalent circuit; Mathematical model; Mathematical models; mesh analysis; nodal analysis; permeance; reluctance; Stator windings
• ISSN: 0885-8969; 1558-0059
• DOI: 10.1109/TEC.2018.2855100

In this paper, the focus is on the efficient solution of magnetic equivalent circuits that include relative motion between components. It is shown that by combining the use of mesh and nodal analysis, one can avoid the need to restructure the circuit topology, which is a step encountered in strictly mesh-based approaches. In addition, one can overcome the poor convergence properties observed in strictly nodal-based formulations. A scaling of variables is introduced to ensure the condition that the number of the mixed mesh/nodal matrices remains relatively low. The proposed scaled model structure is then extended to magnetic equivalent circuits that are coupled to electrical systems for the analysis of dynamic performance. It is shown that the numerical properties of the coupled scaled model remain strong.