Modelling a permanent magnet synchronous motor in FEniCSx for parallel high-performance simulations
There are concerns that the extreme requirements of heavy-duty vehicles and aviation will see them left behind in the electrification of the transport sector, becoming the most significant emitters of greenhouse gases. Engineers extensively use the finite element method to analyse and improve the pe...
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| Published in: | Finite elements in analysis and design Vol. 204; p. 103755 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
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Amsterdam
Elsevier B.V
01.07.2022
Elsevier BV |
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| ISSN: | 0168-874X, 1872-6925 |
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| Abstract | There are concerns that the extreme requirements of heavy-duty vehicles and aviation will see them left behind in the electrification of the transport sector, becoming the most significant emitters of greenhouse gases. Engineers extensively use the finite element method to analyse and improve the performance of electric machines, but new highly scalable methods with a linear (or near) time complexity are required to make extreme-scale models viable. This paper introduces a three-dimensional permanent magnet synchronous motor model using FEniCSx, a finite element platform tailored for efficient computing and data handling at scale. The model demonstrates comparable magnetic flux density distributions to a verification model built in Ansys Maxwell with a maximum deviation of 7% in the motor’s static regions. Solving the largest mesh, comprising over eight million cells, displayed a speedup of 198 at 512 processes. A preconditioned Krylov subspace method was used to solve the system, requiring 92% less memory than a direct solution. It is expected that advances built on this approach will allow system-level multiphysics simulations to become feasible within electric machine development. This capability could provide the near real-world accuracy needed to bring electric propulsion systems to large vehicles.
•Stable and scalable electric machine analysis is possible using iterative methods.•Open-source solvers can leverage the advantages of high-performance computing.•The parallel performance of FEniCSx exceeds an established electromagnetic code. |
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| AbstractList | There are concerns that the extreme requirements of heavy-duty vehicles and aviation will see them left behind in the electrification of the transport sector, becoming the most significant emitters of greenhouse gases. Engineers extensively use the finite element method to analyse and improve the performance of electric machines, but new highly scalable methods with a linear (or near) time complexity are required to make extreme-scale models viable. This paper introduces a three-dimensional permanent magnet synchronous motor model using FEniCSx, a finite element platform tailored for efficient computing and data handling at scale. The model demonstrates comparable magnetic flux density distributions to a verification model built in Ansys Maxwell with a maximum deviation of 7% in the motor's static regions. Solving the largest mesh, comprising over eight million cells, displayed a speedup of 198 at 512 processes. A preconditioned Krylov subspace method was used to solve the system, requiring 92% less memory than a direct solution. It is expected that advances built on this approach will allow system-level multiphysics simulations to become feasible within electric machine development. This capability could provide the near real-world accuracy needed to bring electric propulsion systems to large vehicles. There are concerns that the extreme requirements of heavy-duty vehicles and aviation will see them left behind in the electrification of the transport sector, becoming the most significant emitters of greenhouse gases. Engineers extensively use the finite element method to analyse and improve the performance of electric machines, but new highly scalable methods with a linear (or near) time complexity are required to make extreme-scale models viable. This paper introduces a three-dimensional permanent magnet synchronous motor model using FEniCSx, a finite element platform tailored for efficient computing and data handling at scale. The model demonstrates comparable magnetic flux density distributions to a verification model built in Ansys Maxwell with a maximum deviation of 7% in the motor’s static regions. Solving the largest mesh, comprising over eight million cells, displayed a speedup of 198 at 512 processes. A preconditioned Krylov subspace method was used to solve the system, requiring 92% less memory than a direct solution. It is expected that advances built on this approach will allow system-level multiphysics simulations to become feasible within electric machine development. This capability could provide the near real-world accuracy needed to bring electric propulsion systems to large vehicles. •Stable and scalable electric machine analysis is possible using iterative methods.•Open-source solvers can leverage the advantages of high-performance computing.•The parallel performance of FEniCSx exceeds an established electromagnetic code. |
| ArticleNumber | 103755 |
| Author | Palumbo, Nunzio McDonagh, James Dimov, Nikolay Yousif, Nada Cherukunnath, Neeraj |
| Author_xml | – sequence: 1 givenname: James orcidid: 0000-0002-2774-7177 surname: McDonagh fullname: McDonagh, James email: james.d.mcdonagh@outlook.com organization: School of Physics, Engineering and Computer Science, University of Hertfordshire, Hatfield, AL10 9AB, United Kingdom – sequence: 2 givenname: Nunzio surname: Palumbo fullname: Palumbo, Nunzio organization: Future Methods, Rolls-Royce plc, Derby, DE24 8BJ, United Kingdom – sequence: 3 givenname: Neeraj surname: Cherukunnath fullname: Cherukunnath, Neeraj organization: Future Methods, Rolls-Royce plc, Derby, DE24 8BJ, United Kingdom – sequence: 4 givenname: Nikolay surname: Dimov fullname: Dimov, Nikolay organization: School of Physics, Engineering and Computer Science, University of Hertfordshire, Hatfield, AL10 9AB, United Kingdom – sequence: 5 givenname: Nada surname: Yousif fullname: Yousif, Nada organization: School of Physics, Engineering and Computer Science, University of Hertfordshire, Hatfield, AL10 9AB, United Kingdom |
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| Cites_doi | 10.1109/MCSE.2017.2421459 10.1145/2566630 10.5897/SRE11.901 10.1145/1644001.1644009 10.1109/TMAG.2012.2206821 10.1109/20.996119 10.1556/Pollack.4.2009.2.6 10.1007/PL00005386 10.1016/0304-8853(86)90066-1 10.1016/j.finel.2018.11.002 10.1109/20.996141 10.1016/0166-3615(91)90049-F 10.1016/S0167-8191(00)00106-X 10.1016/j.cam.2010.05.021 10.1109/TMAG.2009.2022328 10.1109/20.104981 10.1109/12.21127 10.1109/20.123957 10.3390/en14020328 10.2528/PIER17072501 10.1137/S0036142997326203 10.1109/20.334188 10.3390/en11020344 10.1002/nla.2215 10.1109/TTE.2018.2834142 10.1016/j.parco.2007.12.001 10.1088/1748-9326/ab6658 10.1126/science.aam9744 10.1109/20.280859 10.1109/TMAG.2015.2455955 10.1137/0710032 10.1145/1163641.1163644 10.1016/0895-7177(88)90478-5 |
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| Keywords | Finite element method Open-source software FEniCS Electric machine High-performance computing Maxwell’s equations |
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| References | Williams (b6) 2019 Mirzaie, Yazdani-Asrami, Akmal (b32) 2011; 6 Wolff, Kalt, Bstieler, Lienkamp (b4) 2021; 14 Marcsa, Kuczmann (b33) 2009; 4 Bastos, Sadowski (b38) 2003 Alnæs, Blechta, Hake, Johansson, Kehlet, Logg, Richardson, Ring, Rognes, Wells (b13) 2015; 3 Haase, Kuhn, Langer (b27) 2001; 27 Rudyy, Garcia-Gasulla, Mantovani, Santiago, Sirvent, Vázquez (b46) 2019 Alnæs, Logg, Ølgaard, Rognes, Wells (b16) 2014; 40 Ansys (b62) 2019 George (b9) 1973; 10 Leiserson, Thompson, Emer, Kuszmaul, Lampson, Sanchez, Schardl (b12) 2020; 368 Zhou, Jiao (b11) 2013 Balay, Abhyankar, Adams, Benson, Brown, Brune, Buschelman, Constantinescu, Dalcin, Dener, Eijkhout, Gropp, Hapla, Isaac, Jolivet, Karpeev, Kaushik, Knepley, Kong, Kruger, May, McInnes, Mills, Mitchell, Munson, Roman, Rupp, Sanan, Sarich, Smith, Zampini, Zhang, Zhang, Zhang (b22) 2021 Smith (b66) 2014 IEA (b1) 2021 Bermúdez, Gómez, Salgado (b59) 2014 Chevalier, Pellegrini (b63) 2008; 34 Ansys (b55) 2019 Jiles, Atherton (b36) 1986; 61 Bastos, Sadowski (b42) 2003 Chow, Falgout, Hu, Tuminaro, Yang (b70) 2006 Ansys (b53) 2019 . Bermúdez, Gómez, Salgado (b35) 2014 Balay, Abhyankar, Adams, Benson, Brown, Brune, Buschelman, Constantinescu, Dalcin, Dener, Eijkhout, Gropp, Hapla, Isaac, Jolivet, Karpeev, Kaushik, Knepley, Kong, Kruger, May, McInnes, Mills, Mitchell, Munson, Roman, Rupp, Sanan, Sarich, Smith, Zampini, Zhang, Zhang, Zhang (b23) 2021 Meessen, Paulides, Lomonova (b60) 2013; 49 Eager, Zahorjan, Lazowska (b65) 1989; 38 IEA (b2) 2020 Mayergoyz, Bedrosian (b28) 1993; 29 Liu, Bondeson, Bergström, Johnson, Larson, Samuelsson (b30) 2002; 38 M. Habera, J.S. Hale, C.N. Richardson, J. Ring, M.E. Rognes, N. Sime, G.N. Wells, FEniCSX: A sustainable future for the FEniCS Project, in: SIAM PP20 Minisymposium: Improving Productivity and Sustainability for Parallel Computing Software, Seattle WA, US, 2020 Zhang, Fujimori (b3) 2020; 15 Song, Ida (b44) 1991; 27 Marcsa, Kuczmann (b54) 2009; 45 Ansys (b67) 2017 Logg, Mardal, Wells (b14) 2012 Kirby, Logg (b18) 2006; 32 Balay, Gropp, McInnes, Smith (b24) 1997 Simpson, Mellor (b26) 2015 Hiptmair (b71) 1998; 36 Ølgaard, Wells (b20) 2010; 37 Scroggs, Dokken, Richardson, Wells (b21) 2021 Zhang, Cen (b40) 2016 Ansys (b57) 2019 Ghai, Lu, Jiao (b48) 2019; 26 Henke, Narjes, Hoffmann, Wohlers, Urbanek, Heister, Steinbrink, Canders, Ponick (b7) 2018; 11 Chan, Chau (b25) 1991; 17 Sadowski, Lefevre, Lajoie-Mazenc, Cros (b41) 1992; 28 Bastos, Sadowski (b34) 2014 Arnold, Falk, Winther (b69) 2000; 85 Zhang, Cen (b37) 2016 Lubin, Rezzoug (b39) 2015; 51 Logg, Ølgaard, Rognes, Wells (b19) 2012 Ma, Hu, Yuan, Liu (b51) 2021; 2021 Ayachit (b58) 2015 Rodger, Lai, Leonard (b31) 2002; 38 Gordon, Gordon (b49) 2010; 234 Hale, Li, Richardson, Wells (b45) 2017; 19 Cendes, Smetak, Shenton (b52) 1988; 11 Alnæs (b17) 2012 Bastos, Sadowski (b43) 2014 Madonna, Giangrande, Galea (b8) 2018; 4 Wang, Klie, Parashar, Sudan (b50) 2009; 5544 Rodger, Allen, Coles, Street, Leonard, Eastham (b29) 1994; 30 Collette (b47) 2013 Richardson, Sime, Wells (b10) 2019; 155 The HDF Group (b68) 1997 El-Refaie, Osama (b5) 2017 He, Lu, Chen, Lin, Rosu, Zhou (b56) 2017; 160 Richardson, Wells (b64) 2013 Park, Kim, Jung (b61) 2016; 26 Chan (10.1016/j.finel.2022.103755_b25) 1991; 17 Sadowski (10.1016/j.finel.2022.103755_b41) 1992; 28 Marcsa (10.1016/j.finel.2022.103755_b54) 2009; 45 IEA (10.1016/j.finel.2022.103755_b2) 2020 George (10.1016/j.finel.2022.103755_b9) 1973; 10 Bermúdez (10.1016/j.finel.2022.103755_b35) 2014 Ghai (10.1016/j.finel.2022.103755_b48) 2019; 26 Ma (10.1016/j.finel.2022.103755_b51) 2021; 2021 Ansys (10.1016/j.finel.2022.103755_b55) 2019 Smith (10.1016/j.finel.2022.103755_b66) 2014 Richardson (10.1016/j.finel.2022.103755_b64) 2013 Balay (10.1016/j.finel.2022.103755_b22) 2021 Balay (10.1016/j.finel.2022.103755_b24) 1997 Meessen (10.1016/j.finel.2022.103755_b60) 2013; 49 10.1016/j.finel.2022.103755_b15 Ansys (10.1016/j.finel.2022.103755_b62) 2019 Cendes (10.1016/j.finel.2022.103755_b52) 1988; 11 The HDF Group (10.1016/j.finel.2022.103755_b68) 1997 Haase (10.1016/j.finel.2022.103755_b27) 2001; 27 Bastos (10.1016/j.finel.2022.103755_b42) 2003 Richardson (10.1016/j.finel.2022.103755_b10) 2019; 155 Hale (10.1016/j.finel.2022.103755_b45) 2017; 19 Song (10.1016/j.finel.2022.103755_b44) 1991; 27 Arnold (10.1016/j.finel.2022.103755_b69) 2000; 85 El-Refaie (10.1016/j.finel.2022.103755_b5) 2017 Logg (10.1016/j.finel.2022.103755_b14) 2012 Leiserson (10.1016/j.finel.2022.103755_b12) 2020; 368 Williams (10.1016/j.finel.2022.103755_b6) 2019 Rodger (10.1016/j.finel.2022.103755_b31) 2002; 38 Eager (10.1016/j.finel.2022.103755_b65) 1989; 38 Bastos (10.1016/j.finel.2022.103755_b38) 2003 Hiptmair (10.1016/j.finel.2022.103755_b71) 1998; 36 Jiles (10.1016/j.finel.2022.103755_b36) 1986; 61 Zhang (10.1016/j.finel.2022.103755_b40) 2016 Bermúdez (10.1016/j.finel.2022.103755_b59) 2014 Henke (10.1016/j.finel.2022.103755_b7) 2018; 11 Ayachit (10.1016/j.finel.2022.103755_b58) 2015 Alnæs (10.1016/j.finel.2022.103755_b16) 2014; 40 Mayergoyz (10.1016/j.finel.2022.103755_b28) 1993; 29 Collette (10.1016/j.finel.2022.103755_b47) 2013 Ansys (10.1016/j.finel.2022.103755_b53) 2019 Rudyy (10.1016/j.finel.2022.103755_b46) 2019 Ansys (10.1016/j.finel.2022.103755_b57) 2019 Bastos (10.1016/j.finel.2022.103755_b34) 2014 Gordon (10.1016/j.finel.2022.103755_b49) 2010; 234 He (10.1016/j.finel.2022.103755_b56) 2017; 160 Kirby (10.1016/j.finel.2022.103755_b18) 2006; 32 Wolff (10.1016/j.finel.2022.103755_b4) 2021; 14 Zhou (10.1016/j.finel.2022.103755_b11) 2013 Simpson (10.1016/j.finel.2022.103755_b26) 2015 Zhang (10.1016/j.finel.2022.103755_b37) 2016 Lubin (10.1016/j.finel.2022.103755_b39) 2015; 51 Alnæs (10.1016/j.finel.2022.103755_b13) 2015; 3 Chevalier (10.1016/j.finel.2022.103755_b63) 2008; 34 Zhang (10.1016/j.finel.2022.103755_b3) 2020; 15 Alnæs (10.1016/j.finel.2022.103755_b17) 2012 Ølgaard (10.1016/j.finel.2022.103755_b20) 2010; 37 Park (10.1016/j.finel.2022.103755_b61) 2016; 26 Ansys (10.1016/j.finel.2022.103755_b67) 2017 Mirzaie (10.1016/j.finel.2022.103755_b32) 2011; 6 Marcsa (10.1016/j.finel.2022.103755_b33) 2009; 4 Madonna (10.1016/j.finel.2022.103755_b8) 2018; 4 Bastos (10.1016/j.finel.2022.103755_b43) 2014 Rodger (10.1016/j.finel.2022.103755_b29) 1994; 30 Chow (10.1016/j.finel.2022.103755_b70) 2006 Scroggs (10.1016/j.finel.2022.103755_b21) 2021 IEA (10.1016/j.finel.2022.103755_b1) 2021 Logg (10.1016/j.finel.2022.103755_b19) 2012 Wang (10.1016/j.finel.2022.103755_b50) 2009; 5544 Liu (10.1016/j.finel.2022.103755_b30) 2002; 38 Balay (10.1016/j.finel.2022.103755_b23) 2021 |
| References_xml | – start-page: 179 year: 2006 end-page: 201 ident: b70 article-title: A survey of parallelization techniques for multigrid solvers publication-title: Parallel Processing for Scientific Computing – start-page: 243 year: 2014 end-page: 259 ident: b43 article-title: Using nodal elements with magnetic vector potential publication-title: Magnetic Materials and 3D Finite Element Modeling – volume: 5544 start-page: 864 year: 2009 end-page: 873 ident: b50 article-title: Solving sparse linear systems on NVIDIA Tesla GPUs publication-title: Computational Science – ICCS 2009 – volume: 17 start-page: 367 year: 1991 end-page: 374 ident: b25 article-title: Design of electrical machines by the finite element method using distributed computing publication-title: Comput. Ind. – volume: 11 start-page: 334 year: 2018 ident: b7 article-title: Challenges and opportunities of very light high-performance electric drives for aviation publication-title: Energies – start-page: 1223 year: 2019 end-page: 1225 ident: b57 article-title: Time decomposition method for maxwell transient designs publication-title: Maxwell Help, Electromagnetics Suite 2019 R3 – start-page: 303 year: 2012 end-page: 338 ident: b17 article-title: UFL: a finite element form language publication-title: Automated Solution of Differential Equations By the Finite Element Method – volume: 26 year: 2019 ident: b48 article-title: A comparison of preconditioned Krylov subspace methods for large-scale nonsymmetric linear systems publication-title: Numer. Linear Algebra Appl. – year: 2021 ident: b1 article-title: Global EV Outlook 2021 – volume: 61 start-page: 48 year: 1986 end-page: 60 ident: b36 article-title: Theory of ferromagnetic hysteresis publication-title: J. Magn. Magn. Mater. – year: 2015 ident: b58 article-title: The ParaView Guide: A Parallel Visualization Application – volume: 38 start-page: 449 year: 2002 end-page: 452 ident: b30 article-title: Eddy-current computations using adaptive grids and edge elements publication-title: IEEE Trans. Magn. – start-page: 2925 year: 2019 end-page: 2928 ident: b55 article-title: Iterative matrix solver technical details publication-title: Maxwell Help, Electromagnetics Suite 2019 R3 – start-page: 2928 year: 2019 end-page: 2930 ident: b53 article-title: 3D transient excitations (sources) publication-title: Maxwell Help, Electromagnetics Suite 2019 R3 – start-page: 567 year: 2019 end-page: 577 ident: b46 article-title: Containers in HPC: A scalability and portability study in production biological simulations publication-title: 2019 IEEE International Parallel and Distributed Processing Symposium – volume: 14 start-page: 328 year: 2021 ident: b4 article-title: Influence of powertrain topology and electric machine design on efficiency of battery electric trucks—A simulative case-study publication-title: Energies – volume: 49 start-page: 536 year: 2013 end-page: 545 ident: b60 article-title: Force calculations in 3-D cylindrical structures using Fourier analysis and the Maxwell stress tensor publication-title: IEEE Trans. Magn. – volume: 368 year: 2020 ident: b12 article-title: There’s plenty of room at the top: What will drive computer performance after moore’s law? publication-title: Science – volume: 2021 year: 2021 ident: b51 article-title: Developing a multi-GPU-enabled preconditioned GMRES with inexact triangular solves for block sparse matrices publication-title: Math. Probl. Eng. – year: 2021 ident: b23 article-title: PETSc/TAO Users Manual – start-page: 1 year: 2014 end-page: 57 ident: b34 article-title: Statics and quasistatics electromagnetics brief presentation publication-title: Magnetic Materials and 3D Finite Element Modeling – start-page: 77 year: 2014 end-page: 113 ident: b59 article-title: Maxwell’s equations in material regions publication-title: Mathematical Models and Numerical Simulation in Electromagnetism – start-page: 343 year: 2003 end-page: 366 ident: b42 article-title: Movement modeling for electrical machines publication-title: Electromagnetic Modeling By Finite Element Methods – start-page: 1 year: 2015 end-page: 8 ident: b26 article-title: Exploiting cloud computing in the multi-physics design and optimisation of electromagnetic devices publication-title: 2015 IEEE 16th Workshop on Control and Modeling for Power Electronics – start-page: 164 year: 2016 end-page: 166 ident: b40 article-title: Mesh controls for rotating machinery publication-title: Multiphysics Modeling: Numerical Methods and Engineering Applications – year: 2014 ident: b66 article-title: 16X Speedup in ANSYS Maxwell DSO on 32-Core High-Performance Compute Farm Doubles Traction Motor Design Productivity at General Motors – start-page: 183 year: 2014 end-page: 216 ident: b35 article-title: The eddy currents model publication-title: Mathematical Models and Numerical Simulation in Electromagnetism – volume: 4 start-page: 646 year: 2018 end-page: 659 ident: b8 article-title: Electrical power generation in aircraft: Review, challenges, and opportunities publication-title: IEEE Trans. Transp. Electrification – start-page: 227 year: 2012 end-page: 238 ident: b19 article-title: FFC: the FEniCS form compiler publication-title: Automated Solution of Differential Equations By the Finite Element Method – volume: 27 start-page: 4012 year: 1991 end-page: 4015 ident: b44 article-title: An eddy current constraint formulation for 3D electromagnetic field calculations publication-title: IEEE Trans. Magn. – volume: 19 start-page: 40 year: 2017 end-page: 50 ident: b45 article-title: Containers for portable, productive, and performant scientific computing publication-title: Comput. Sci. Eng. – volume: 234 start-page: 3480 year: 2010 end-page: 3495 ident: b49 article-title: Row scaling as a preconditioner for some nonsymmetric linear systems with discontinuous coefficients publication-title: J. Comput. Appl. Math. – volume: 38 start-page: 537 year: 2002 end-page: 540 ident: b31 article-title: A comparison of finite-element models for 3-D rotating conductors publication-title: IEEE Trans. Magn. – reference: M. Habera, J.S. Hale, C.N. Richardson, J. Ring, M.E. Rognes, N. Sime, G.N. Wells, FEniCSX: A sustainable future for the FEniCS Project, in: SIAM PP20 Minisymposium: Improving Productivity and Sustainability for Parallel Computing Software, Seattle WA, US, 2020, – year: 2021 ident: b22 article-title: PETSc web page – volume: 4 start-page: 57 year: 2009 end-page: 66 ident: b33 article-title: Motional finite element simulation of a single-phase induction motor publication-title: Pollack Period. – volume: 34 start-page: 318 year: 2008 end-page: 331 ident: b63 article-title: PT-Scotch: A tool for efficient parallel graph ordering publication-title: Parallel Comput. – volume: 32 start-page: 417 year: 2006 end-page: 444 ident: b18 article-title: A compiler for variational forms publication-title: ACM Trans. Math. Software – start-page: 163 year: 1997 end-page: 202 ident: b24 article-title: Efficient management of parallelism in object oriented numerical software libraries publication-title: Modern Software Tools in Scientific Computing – volume: 28 start-page: 1410 year: 1992 end-page: 1413 ident: b41 article-title: Finite element torque calculation in electrical machines while considering the movement publication-title: IEEE Trans. Magn. – volume: 160 start-page: 1 year: 2017 end-page: 8 ident: b56 article-title: Time decomposition method for the general transient simulation of low-frequency electromagnetics publication-title: Prog. Electromagn. Res. – volume: 37 start-page: 1 year: 2010 end-page: 23 ident: b20 article-title: Optimisations for quadrature representations of finite element tensors through automated code generation publication-title: ACM Trans. Math. Software – volume: 155 start-page: 32 year: 2019 end-page: 42 ident: b10 article-title: Scalable computation of thermomechanical turbomachinery problems publication-title: Finite Elem. Anal. Des. – volume: 6 start-page: 4414 year: 2011 end-page: 4420 ident: b32 article-title: 3D electromagnetic study of transformers’ flux line distribution and losses determination under harmonic distortion caused by electronic equipments publication-title: Sci. Res. Essays – volume: 30 start-page: 4680 year: 1994 end-page: 4682 ident: b29 article-title: Finite element calculation of forces on a DC magnet moving over an iron rail publication-title: IEEE Trans. Magn. – start-page: 27 year: 2003 end-page: 121 ident: b38 article-title: Maxwell equations, electrostatics, magnetostatics and magnetodynamic fields publication-title: Electromagnetic Modeling By Finite Element Methods – volume: 85 start-page: 197 year: 2000 end-page: 217 ident: b69 article-title: Multigrid in H(div) and H(curl) publication-title: Numer. Math. – year: 2013 ident: b47 article-title: Python and HDF5 – volume: 11 start-page: 192 year: 1988 end-page: 196 ident: b52 article-title: Mesh generation for modelling in magnetics publication-title: Math. Comput. Modelling – year: 2020 ident: b2 article-title: Tracking Transport 2020 – volume: 40 start-page: 1 year: 2014 end-page: 37 ident: b16 article-title: Unified form language: A domain-specific language for weak formulations of partial differential equations publication-title: ACM Trans. Math. Software – start-page: 1103 year: 2019 end-page: 1111 ident: b62 article-title: Setting up motion for transient projects publication-title: Maxwell Help, Electromagnetics Suite 2019 R3 – year: 2017 ident: b67 article-title: Maxwell Time Decomposition Method Accelerates Simulation of Transient Electromagnetic Fields with Intel Xeon Processor E5-2697 v4 – year: 2012 ident: b14 article-title: Automated Solution of Differential Equations by the Finite Element Method – volume: 26 start-page: 1 year: 2016 end-page: 5 ident: b61 article-title: Design of IPMSM applying V-Shape skew considering axial force distribution and performance characteristics according to the rotating direction publication-title: IEEE Trans. Appl. Supercond. – volume: 38 start-page: 408 year: 1989 end-page: 423 ident: b65 article-title: Speedup versus efficiency in parallel systems publication-title: IEEE Trans. Comput. – volume: 15 year: 2020 ident: b3 article-title: The role of transport electrification in global climate change mitigation scenarios publication-title: Environ. Res. Lett. – year: 2019 ident: b6 article-title: Aviation electrification - choosing your motor topology and material advancements publication-title: AIAA Propulsion and Energy 2019 Forum – volume: 51 start-page: 1 year: 2015 end-page: 12 ident: b39 article-title: 3-D analytical model for axial-flux eddy-current couplings and brakes under steady-state conditions publication-title: IEEE Trans. Magn. – start-page: 1 year: 2021 end-page: 23 ident: b21 article-title: Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes – year: 1997 ident: b68 article-title: Hierarchical data format, version 5 – start-page: 1 year: 2016 end-page: 96 ident: b37 article-title: The physics models publication-title: Multiphysics Modeling: Numerical Methods and Engineering Applications – volume: 3 year: 2015 ident: b13 article-title: The FEniCS project version 1.5 publication-title: Arch. Numer. Softw. – volume: 45 start-page: 3329 year: 2009 end-page: 3333 ident: b54 article-title: Comparison of the publication-title: IEEE Trans. Magn. – volume: 29 start-page: 2335 year: 1993 end-page: 2340 ident: b28 article-title: Iterative solution of 3D eddy current problems publication-title: IEEE Trans. Magn. – year: 2013 ident: b64 article-title: Expressive and Scalable Finite Element Simulation Beyond 1000 Cores – reference: . – volume: 36 start-page: 204 year: 1998 end-page: 225 ident: b71 article-title: Multigrid method for Maxwell’s equations publication-title: SIAM J. Numer. Anal. – start-page: 1 year: 2017 end-page: 6 ident: b5 article-title: High specific power electrical machines: A system perspective publication-title: 2017 20th International Conference on Electrical Machines and Systems – start-page: 1684 year: 2013 end-page: 1685 ident: b11 article-title: A linear complexity direct finite element solver for large-scale 3-D electromagnetic analysis publication-title: 2013 IEEE Antennas and Propagation Society International Symposium – volume: 10 start-page: 345 year: 1973 end-page: 363 ident: b9 article-title: Nested dissection of a regular finite element mesh publication-title: SIAM J. Numer. Anal. – volume: 27 start-page: 761 year: 2001 end-page: 775 ident: b27 article-title: Parallel multigrid 3D maxwell solvers publication-title: Parallel Comput. – volume: 19 start-page: 40 issue: 6 year: 2017 ident: 10.1016/j.finel.2022.103755_b45 article-title: Containers for portable, productive, and performant scientific computing publication-title: Comput. Sci. Eng. doi: 10.1109/MCSE.2017.2421459 – year: 2015 ident: 10.1016/j.finel.2022.103755_b58 – start-page: 1 year: 2015 ident: 10.1016/j.finel.2022.103755_b26 article-title: Exploiting cloud computing in the multi-physics design and optimisation of electromagnetic devices – year: 2019 ident: 10.1016/j.finel.2022.103755_b6 article-title: Aviation electrification - choosing your motor topology and material advancements – volume: 40 start-page: 1 issue: 2 year: 2014 ident: 10.1016/j.finel.2022.103755_b16 article-title: Unified form language: A domain-specific language for weak formulations of partial differential equations publication-title: ACM Trans. Math. Software doi: 10.1145/2566630 – volume: 6 start-page: 4414 issue: 20 year: 2011 ident: 10.1016/j.finel.2022.103755_b32 article-title: 3D electromagnetic study of transformers’ flux line distribution and losses determination under harmonic distortion caused by electronic equipments publication-title: Sci. Res. Essays doi: 10.5897/SRE11.901 – year: 2017 ident: 10.1016/j.finel.2022.103755_b67 – start-page: 183 year: 2014 ident: 10.1016/j.finel.2022.103755_b35 article-title: The eddy currents model – start-page: 1103 year: 2019 ident: 10.1016/j.finel.2022.103755_b62 article-title: Setting up motion for transient projects – start-page: 303 year: 2012 ident: 10.1016/j.finel.2022.103755_b17 article-title: UFL: a finite element form language – volume: 37 start-page: 1 issue: 1 year: 2010 ident: 10.1016/j.finel.2022.103755_b20 article-title: Optimisations for quadrature representations of finite element tensors through automated code generation publication-title: ACM Trans. Math. Software doi: 10.1145/1644001.1644009 – year: 2021 ident: 10.1016/j.finel.2022.103755_b23 – start-page: 2928 year: 2019 ident: 10.1016/j.finel.2022.103755_b53 article-title: 3D transient excitations (sources) – volume: 49 start-page: 536 issue: 1 year: 2013 ident: 10.1016/j.finel.2022.103755_b60 article-title: Force calculations in 3-D cylindrical structures using Fourier analysis and the Maxwell stress tensor publication-title: IEEE Trans. Magn. doi: 10.1109/TMAG.2012.2206821 – start-page: 77 year: 2014 ident: 10.1016/j.finel.2022.103755_b59 article-title: Maxwell’s equations in material regions – start-page: 567 year: 2019 ident: 10.1016/j.finel.2022.103755_b46 article-title: Containers in HPC: A scalability and portability study in production biological simulations – start-page: 343 year: 2003 ident: 10.1016/j.finel.2022.103755_b42 article-title: Movement modeling for electrical machines – volume: 38 start-page: 449 issue: 2 year: 2002 ident: 10.1016/j.finel.2022.103755_b30 article-title: Eddy-current computations using adaptive grids and edge elements publication-title: IEEE Trans. Magn. doi: 10.1109/20.996119 – volume: 4 start-page: 57 issue: 2 year: 2009 ident: 10.1016/j.finel.2022.103755_b33 article-title: Motional finite element simulation of a single-phase induction motor publication-title: Pollack Period. doi: 10.1556/Pollack.4.2009.2.6 – start-page: 1684 year: 2013 ident: 10.1016/j.finel.2022.103755_b11 article-title: A linear complexity direct finite element solver for large-scale 3-D electromagnetic analysis – volume: 85 start-page: 197 issue: 2 year: 2000 ident: 10.1016/j.finel.2022.103755_b69 article-title: Multigrid in H(div) and H(curl) publication-title: Numer. Math. doi: 10.1007/PL00005386 – volume: 61 start-page: 48 issue: 1 year: 1986 ident: 10.1016/j.finel.2022.103755_b36 article-title: Theory of ferromagnetic hysteresis publication-title: J. Magn. Magn. Mater. doi: 10.1016/0304-8853(86)90066-1 – start-page: 27 year: 2003 ident: 10.1016/j.finel.2022.103755_b38 article-title: Maxwell equations, electrostatics, magnetostatics and magnetodynamic fields – year: 2014 ident: 10.1016/j.finel.2022.103755_b66 – volume: 155 start-page: 32 year: 2019 ident: 10.1016/j.finel.2022.103755_b10 article-title: Scalable computation of thermomechanical turbomachinery problems publication-title: Finite Elem. Anal. Des. doi: 10.1016/j.finel.2018.11.002 – start-page: 243 year: 2014 ident: 10.1016/j.finel.2022.103755_b43 article-title: Using nodal elements with magnetic vector potential – volume: 38 start-page: 537 issue: 2 year: 2002 ident: 10.1016/j.finel.2022.103755_b31 article-title: A comparison of finite-element models for 3-D rotating conductors publication-title: IEEE Trans. Magn. doi: 10.1109/20.996141 – volume: 17 start-page: 367 issue: 4 year: 1991 ident: 10.1016/j.finel.2022.103755_b25 article-title: Design of electrical machines by the finite element method using distributed computing publication-title: Comput. Ind. doi: 10.1016/0166-3615(91)90049-F – volume: 27 start-page: 761 issue: 6 year: 2001 ident: 10.1016/j.finel.2022.103755_b27 article-title: Parallel multigrid 3D maxwell solvers publication-title: Parallel Comput. doi: 10.1016/S0167-8191(00)00106-X – start-page: 1 year: 2021 ident: 10.1016/j.finel.2022.103755_b21 – ident: 10.1016/j.finel.2022.103755_b15 – start-page: 227 year: 2012 ident: 10.1016/j.finel.2022.103755_b19 article-title: FFC: the FEniCS form compiler – start-page: 2925 year: 2019 ident: 10.1016/j.finel.2022.103755_b55 article-title: Iterative matrix solver technical details – volume: 234 start-page: 3480 issue: 12 year: 2010 ident: 10.1016/j.finel.2022.103755_b49 article-title: Row scaling as a preconditioner for some nonsymmetric linear systems with discontinuous coefficients publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2010.05.021 – volume: 45 start-page: 3329 issue: 9 year: 2009 ident: 10.1016/j.finel.2022.103755_b54 article-title: Comparison of the A∗−A and T,Φ−Φ formulations for the 2-D analysis of solid-rotor induction machines publication-title: IEEE Trans. Magn. doi: 10.1109/TMAG.2009.2022328 – volume: 27 start-page: 4012 issue: 5 year: 1991 ident: 10.1016/j.finel.2022.103755_b44 article-title: An eddy current constraint formulation for 3D electromagnetic field calculations publication-title: IEEE Trans. Magn. doi: 10.1109/20.104981 – volume: 38 start-page: 408 issue: 3 year: 1989 ident: 10.1016/j.finel.2022.103755_b65 article-title: Speedup versus efficiency in parallel systems publication-title: IEEE Trans. Comput. doi: 10.1109/12.21127 – year: 2012 ident: 10.1016/j.finel.2022.103755_b14 – volume: 28 start-page: 1410 issue: 2 year: 1992 ident: 10.1016/j.finel.2022.103755_b41 article-title: Finite element torque calculation in electrical machines while considering the movement publication-title: IEEE Trans. Magn. doi: 10.1109/20.123957 – start-page: 1 year: 2017 ident: 10.1016/j.finel.2022.103755_b5 article-title: High specific power electrical machines: A system perspective – year: 2013 ident: 10.1016/j.finel.2022.103755_b64 – start-page: 163 year: 1997 ident: 10.1016/j.finel.2022.103755_b24 article-title: Efficient management of parallelism in object oriented numerical software libraries – year: 2020 ident: 10.1016/j.finel.2022.103755_b2 – volume: 14 start-page: 328 issue: 2 year: 2021 ident: 10.1016/j.finel.2022.103755_b4 article-title: Influence of powertrain topology and electric machine design on efficiency of battery electric trucks—A simulative case-study publication-title: Energies doi: 10.3390/en14020328 – start-page: 1 year: 2016 ident: 10.1016/j.finel.2022.103755_b37 article-title: The physics models – volume: 160 start-page: 1 year: 2017 ident: 10.1016/j.finel.2022.103755_b56 article-title: Time decomposition method for the general transient simulation of low-frequency electromagnetics publication-title: Prog. Electromagn. Res. doi: 10.2528/PIER17072501 – volume: 36 start-page: 204 issue: 1 year: 1998 ident: 10.1016/j.finel.2022.103755_b71 article-title: Multigrid method for Maxwell’s equations publication-title: SIAM J. Numer. Anal. doi: 10.1137/S0036142997326203 – volume: 30 start-page: 4680 issue: 6 year: 1994 ident: 10.1016/j.finel.2022.103755_b29 article-title: Finite element calculation of forces on a DC magnet moving over an iron rail publication-title: IEEE Trans. Magn. doi: 10.1109/20.334188 – volume: 11 start-page: 334 issue: 2 year: 2018 ident: 10.1016/j.finel.2022.103755_b7 article-title: Challenges and opportunities of very light high-performance electric drives for aviation publication-title: Energies doi: 10.3390/en11020344 – volume: 26 issue: 1 year: 2019 ident: 10.1016/j.finel.2022.103755_b48 article-title: A comparison of preconditioned Krylov subspace methods for large-scale nonsymmetric linear systems publication-title: Numer. Linear Algebra Appl. doi: 10.1002/nla.2215 – start-page: 1223 year: 2019 ident: 10.1016/j.finel.2022.103755_b57 article-title: Time decomposition method for maxwell transient designs – volume: 4 start-page: 646 issue: 3 year: 2018 ident: 10.1016/j.finel.2022.103755_b8 article-title: Electrical power generation in aircraft: Review, challenges, and opportunities publication-title: IEEE Trans. Transp. Electrification doi: 10.1109/TTE.2018.2834142 – year: 2021 ident: 10.1016/j.finel.2022.103755_b1 – start-page: 179 year: 2006 ident: 10.1016/j.finel.2022.103755_b70 article-title: A survey of parallelization techniques for multigrid solvers – volume: 34 start-page: 318 issue: 6 year: 2008 ident: 10.1016/j.finel.2022.103755_b63 article-title: PT-Scotch: A tool for efficient parallel graph ordering publication-title: Parallel Comput. doi: 10.1016/j.parco.2007.12.001 – year: 2013 ident: 10.1016/j.finel.2022.103755_b47 – year: 1997 ident: 10.1016/j.finel.2022.103755_b68 – volume: 15 issue: 3 year: 2020 ident: 10.1016/j.finel.2022.103755_b3 article-title: The role of transport electrification in global climate change mitigation scenarios publication-title: Environ. Res. Lett. doi: 10.1088/1748-9326/ab6658 – volume: 368 issue: 6495 year: 2020 ident: 10.1016/j.finel.2022.103755_b12 article-title: There’s plenty of room at the top: What will drive computer performance after moore’s law? publication-title: Science doi: 10.1126/science.aam9744 – volume: 5544 start-page: 864 year: 2009 ident: 10.1016/j.finel.2022.103755_b50 article-title: Solving sparse linear systems on NVIDIA Tesla GPUs – start-page: 1 year: 2014 ident: 10.1016/j.finel.2022.103755_b34 article-title: Statics and quasistatics electromagnetics brief presentation – volume: 29 start-page: 2335 issue: 6 year: 1993 ident: 10.1016/j.finel.2022.103755_b28 article-title: Iterative solution of 3D eddy current problems publication-title: IEEE Trans. Magn. doi: 10.1109/20.280859 – volume: 51 start-page: 1 issue: 10 year: 2015 ident: 10.1016/j.finel.2022.103755_b39 article-title: 3-D analytical model for axial-flux eddy-current couplings and brakes under steady-state conditions publication-title: IEEE Trans. Magn. doi: 10.1109/TMAG.2015.2455955 – volume: 10 start-page: 345 issue: 2 year: 1973 ident: 10.1016/j.finel.2022.103755_b9 article-title: Nested dissection of a regular finite element mesh publication-title: SIAM J. Numer. Anal. doi: 10.1137/0710032 – volume: 32 start-page: 417 issue: 3 year: 2006 ident: 10.1016/j.finel.2022.103755_b18 article-title: A compiler for variational forms publication-title: ACM Trans. Math. Software doi: 10.1145/1163641.1163644 – volume: 3 issue: 100 year: 2015 ident: 10.1016/j.finel.2022.103755_b13 article-title: The FEniCS project version 1.5 publication-title: Arch. Numer. Softw. – volume: 2021 year: 2021 ident: 10.1016/j.finel.2022.103755_b51 article-title: Developing a multi-GPU-enabled preconditioned GMRES with inexact triangular solves for block sparse matrices publication-title: Math. Probl. Eng. – volume: 26 start-page: 1 issue: 4 year: 2016 ident: 10.1016/j.finel.2022.103755_b61 article-title: Design of IPMSM applying V-Shape skew considering axial force distribution and performance characteristics according to the rotating direction publication-title: IEEE Trans. Appl. Supercond. – start-page: 164 year: 2016 ident: 10.1016/j.finel.2022.103755_b40 article-title: Mesh controls for rotating machinery – year: 2021 ident: 10.1016/j.finel.2022.103755_b22 – volume: 11 start-page: 192 year: 1988 ident: 10.1016/j.finel.2022.103755_b52 article-title: Mesh generation for modelling in magnetics publication-title: Math. Comput. Modelling doi: 10.1016/0895-7177(88)90478-5 |
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| SubjectTerms | Electric machine Electric propulsion Electrification Emitters FEniCS Finite element method Flux density Greenhouse gases Heavy vehicles High-performance computing Magnetic flux Maxwell’s equations Open-source software Performance enhancement Permanent magnets Propulsion systems Scale models Subspace methods Synchronous motors Transportation industry |
| Title | Modelling a permanent magnet synchronous motor in FEniCSx for parallel high-performance simulations |
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