Broad Band Modeling of a Superconducting Magnetic Energy Storage (SMES) Coil

In this paper, we compute with accuracy the impedance parameters of a superconducting magnetic energy storage (SMES) system. We do this by using a three-dimensional integral formulation of the full set of frequency domain Maxwell's equations in the quasistatic limit. The impedance parameter allows the construction of a time domain equivalent circuit to be used for the simulation of the overall SMES system. The numerical model is based on a volume integral formulation where the unknown is the total current density J, expressed as the sum of its solenoidal and non-solenoidal components. This separation allows to avoid the ill-conditioning of the relevant stiffness matrix at low frequencies, being essential for developing a numerical model accurately working where the SMES resonances are located. The model is applied to the case of an ideal model coil consisting of an 18-layers solenoid.