Modeling of the Magnetic Field and Current Density Distributions in HTS SMES Systems

Ensuring high performance of superconductor magnetic energy storages (SMES) requires conducting calculations to establish operational limits. This paper proposes an example of such calculations. The T-A formulation in conjunction with the homogenization approach is applied for high temperature superconducting (HTS) pancake coil modeling. The T-A formulation is relevant for calculation of tapes with a thin superconducting layer. And the homogenization approach simplifies problem formulation. Kim critical state model and the continuous E-J power law describe the material properties of the coil. Given problem formulation allows to gain distributions of the magnetic flux density and the current density at the coil cross-section. The dependence of hysteresis losses on the transport current amplitude and frequency are obtained. Based on these dependences, the value of critical current at 50 Hz is determined for the considered coil configuration. The current value, at which pancake coil remains in a superconducting state over the entire frequency range from 5·10
⁻⁵
Hz to 50 Hz, is calculated.