Hybrid finite difference/finite element solution method development for non‐linear superconducting magnet and electrical circuit breakdown transient analysis

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Abstract
The problem of non‐linear superconducting magnet and electrical protection circuit system transients is formulated. To enable studying the effects of coil normalization transients, coil distortion (due to imbalanced magnetic forces), internal coil arcs and shorts, and other normal and off‐normal circuit element responses, the following capabilities are included: temporal, voltage and current‐dependent voltage sources, current sources, resistors, capacitors and inductors. The concept of self‐mutual inductance, and the form of the associated inductance matrix, is discussed for internally shorted coils. This is a Kirchhoff's voltage loop law and Kirchhoff's current node law formulation. The non‐linear integrodifferential equation set is solved via a unique hybrid finite difference/integral finite element technique.

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