The magnetic core of an a-c current transformer is optimized so that the current transformer is able to function with a primary electric current having a d-c current component. In the preferred embodiment, the magnetic core is optimized to have nonlinear incremental permeance so that the magnetic core operates with high incremental permeance when the d-c current component is not present (thereby providing current transformer operation with relatively high accuracy), and the magnetic core operates in a non-saturated manner with reduced incremental permeance when the d-c current component is present (thereby providing acceptable current transformer operation, but with reduced accuracy). An electronic assist means may be provided for improved current transformer accuracy. An alternate embodiment combines an electronic assist means together with a magnetic core that has low permeance.