Fast algorithm for computing inductive voltages in a network model of a Rutherford cable

The fast multipole method (FMM) is applied to the electromagnetic analysis of a network model for a Rutherford cable. The FMM allows the inductive-voltage effects to be included accurately (error /spl Lt/ 1%) without the need to store, access, or invert the full inductance matrix. Applications of the resulting algorithm are discussed: relaxation of boundary-induced coupling currents, stability, and quench propagation.