MORTIGAMA - Mortaring and Isogeometric Analysis for Electric Machines

• Applicant: Professor Dr. Sebastian Schöps
• Subject Area: Electrical Energy Systems, Power Management, Power Electronics, Electrical Machines and Drives ; Electronic Semiconductors, Components and Circuits, Integrated Systems, Sensor Technology, Theoretical Electrical Engineering ; Mathematics
• Term: from 2020 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 439318174

• Final Report Year: 2024

Final Report Abstract

This project proposes the application of a Spline or more precisely NURBS-based finite element approach for the simulation of electrical machines, the so-called isogeometric analysis. This novel approach promises accurate solutions with a low number of degrees of freedom and enables elegantly to model geometry variations due to the Spline parametrisation, e.g. within an uncertainty quantification or shape optimisation of a machine. The movement of the rotor is implemented by mortaring in a saddle-point formulation. We propose novel approaches based on Splines and spectral elements which will be analyzed theoretically and practically.

Publications

• On the Stability of Harmonic Coupling Methods with Application to Electric Machines. Mathematics in Industry, 117-125. Springer International Publishing.
  Egger, H.; Harutyunyan, M.; Merkel, M. & Schöps, S.
  
• Shape Optimization of Rotating Electric Machines Using Isogeometric Analysis. IEEE Transactions on Energy Conversion, 36(4), 2683-2690.
  Merkel, Melina; Gangl, Peter & Schops, Sebastian
  
• On torque computation in electric machine simulation by harmonic mortar methods. Journal of Mathematics in Industry, 12(1).
  Egger, Herbert; Harutyunyan, Mané; Löscher, Richard; Merkel, Melina & Schöps, Sebastian
  
• Torque Computation With the Isogeometric Mortar Method for the Simulation of Electric Machines. IEEE Transactions on Magnetics, 58(9), 1-4.
  Merkel, Melina; Kapidani, Bernard; Schops, Sebastian & Vazquez, Rafael
  
• Tree–cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains. Computer Methods in Applied Mechanics and Engineering, 395, 114949.
  Kapidani, Bernard; Merkel, Melina; Schöps, Sebastian & Vázquez, Rafael
  
• Low-Frequency Stabilization of Dielectric Simulation Problems With Conductors and Insulators. IEEE Transactions on Dielectrics and Electrical Insulation, 30(6), 2609-2616.
  Balian, Devin; Merkel, Melina; Ostrowski, Jörg; De Gersem, Herbert & Schöps, Sebastian
  
• Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems. Advances in Computational Mathematics, 50(5).
  Kapidani, Bernard; Merkel, Melina; Schöps, Sebastian & Vázquez, Rafael