Transient field losses in multifilamentary composite conductors carrying dc transport currents

Theoretical studies are presented for transient field losses in multifilamentary composite conductors carrying a dc transport current. The analysis of the total loss is split into separate calculations of the magnetization loss and the loss due to the dynamic resistance. Analytical expressions are derived for a field change of trapezoidal shape. The parameter which characterizes the total loss is a dimensionless sweep rate of the external field $\text{β = τ}\text{B}\text{?}{}_{\mathrm{<mtext>e</mtext>}}\text{/B}{}_{\mathrm{<mtext>p</mtext>}}$, where τ is the relaxation time of the eddy current and B_p is the full-penetration field of the composite conductor. Graphs for a wide range of the field change rate are given and they reveal the strong influence of the transport current.