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We have been developing an inductive pulsed power supply (PS) consisting of several superconducting pulsed power transformers with Marx generator methodology. Each of these pulsed power transformers consists of a copper secondary winding and a high-temperature superconducting primary winding. In order to obtain a high-voltage impulse, the Marx generator should be charged via the parallel connection of capacitors and discharged via a series connection. In contrast, this superconducting pulsed PS is excited in series connection of superconducting primary windings and discharged in the parallel connection to obtain a large pulsed electric current. Our preliminary experiment result showed that the process of one transformer module was correct. In this paper, the characteristics and simulation results of the superconducting inductive pulsed PS are described.