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This paper focuses on efficient steady-state computations of induction machines. In particular, the periodic Parareal algorithm with initial-value coarse problem (PP-IC) is considered for acceleration of classical time-stepping simulations via non-intrusive parallelization in time domain, i.e., existing implementations can be reused. Superiority of this parallel-in-time method is in its direct applicability to time-periodic problems, compared to, e.g, the standard Parareal method, which only solves an initial-value problem, starting from a prescribed initial value. PP-IC is exploited here to obtain the steady state of several operating points of an induction motor, developed by Robert Bosch GmbH. Numerical experiments show that acceleration up to several dozens of times can be obtained, depending on availability of parallel processing units. Comparison of PP-IC with existing time-periodic explicit error correction method highlights better robustness and efficiency of the considered time-parallel approach

@Article{ Bast_2019aa, abstract = {This paper focuses on efficient steady-state computations of induction machines. In particular, the periodic Parareal algorithm with initial-value coarse problem (PP-IC) is considered for acceleration of classical time-stepping simulations via non-intrusive parallelization in time domain, i.e., existing implementations can be reused. Superiority of this parallel-in-time method is in its direct applicability to time-periodic problems, compared to, e.g, the standard Parareal method, which only solves an initial-value problem, starting from a prescribed initial value. PP-IC is exploited here to obtain the steady state of several operating points of an induction motor, developed by Robert Bosch GmbH. Numerical experiments show that acceleration up to several dozens of times can be obtained, depending on availability of parallel processing units. Comparison of PP-IC with existing time-periodic explicit error correction method highlights better robustness and efficiency of the considered time-parallel approach}, author = {Bast, Denys and Kulchytska-Ruchka, Iryna and Schöps, Sebastian and Rain, Oliver}, citable = {0}, doi = {10.1109/TMAG.2019.2945510}, eprint = {1902.08277}, eprinttype = {arxiv}, file = {Bast_2019aa.pdf}, issn = {0018-9464}, journal = {IEEE Transactions on Magnetics}, keywords = {Parallel-in-time,steady state,eddy currents,time stepping}, langid = {english}, publisher = {IEEE}, pubstate = {Accepted}, title = {Accelerated Steady-State Torque Computation for Induction Machines using Parallel-In-Time Algorithms}, year = {2019}, shortjournal = {IEEE Trans. Magn.} }

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