A simple model for the estimation of hysteresis energy loss in a coated conductor under the simultaneous application of a magnetic field and current

A simple model for estimating the hysteresis energy loss of coated conductors under a general load line was studied. We took advantage of the characteristic line I-b(H-a) to determine the major parameters used in this model. The value of I-b(H-a) was based on the scanning Hall probe measurements (SHP) on a Sm1Ba2Cu3O7-delta coated conductor. During SHP measurement, a magnetic field ( Ha) and current (I-a) were applied simultaneously and were varied along 11 different load lines. From the values of SHP measurements, the current density profiles, J (x, H-a, I-a), were calculated using a numerical inversion method. We define the quantity Ib = integral(w)(-w) vertical bar J (x, H-a, I-a) vertical bar dx and we calculated I-b at many points (H-a, I-a) in every load line. We found that when I-a is less than I-b and the flux trap regions are absent, the values of I-b for all points (H-a, I-a) constitute a single line I-b(H-a), which can be easily extrapolated to a high field. This line provided a major parameter for our model.