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Superconducting wire AC losses

Accelerating superconducting AC loss simulation: 8 days to 1.7 hours

 

Magnetism H   •   Magnetism φ   •  Current flow

The challenge

Simulating AC losses in twisted superconducting wires is computationally exhausting. The standard "H-Formulation" solves for vector fields everywhere, leading to millions of unnecessary Degrees of Freedom (DoF) in the non-conducting air regions.

This inefficiency results in ill-conditioned matrices and massive runtimes. In a benchmark study, a standard 3D twisted wire simulation took ~8 days to solve on a high-end 96-core on-premise server.

Approach with Quanscient Allsolve

The team implemented the H-phi Formulation on Quanscient Allsolve. This hybrid method solves for the magnetic field (H) inside the conductor but switches to a scalar potential (phi) in the air, drastically reducing model size. 

Combined with Cloud Domain Decomposition (DDM), the team distributed the calculation across 640 cloud cores to maximize throughput.

Key results

  • 110x speedup: The simulation time was reduced from 7 days, 23 hours (191 hours) using standard methods to just 1.7 hours on Quanscient Allsolve.
  • Model efficiency: The H-phi method reduced the model size from 5 Million DoFs to 1.4 Million DoFs without sacrificing accuracy (results matched within <3.5%).
  • Scalability: Demonstrated linear scaling efficiency up to 640 cores for complex multiphysics quench scenarios (VIPER cable).
Scaling of the computation time of Quanscient Allsolve with the number of single-core CPUs demonstrating next-to-linear scaling up to hundreds of cores.