  High temperature superconducting dynamos are capable of low loss contactless
pumping large dc currents into superconducting magnet coils. We present a model
of such devices and use efficient numerical methods for computing the
two-dimensional loop currents and electric fields induced in the thin
superconducting stator strip by a dynamo rotor mounted permanent magnet. We
find also the voltages generated in the stator under the open circuit
conditions. It is shown that if the length of a permanent magnet is comparable
to or smaller than the strip width, the one-dimensional model employed in the
previous works can be inaccurate.
