I. Introduction
The gyrotron is a microwave source commonly used for heating plasma in nuclear fusion devices. This technology converts the rotational kinetic energy of electrons, which is accelerated by high DC voltage and magnetic field into high power energy [1]. In gyrotron, the role of the superconducting magnet is to provide the magnetic field strength enough to produce 95 GHz of electron cyclotron frequency and generate the high magnetic field uniformity to make the electron beam fired from the electron gun injected into the resonator without loss. Compared with a conventional liquid helium cooled system, the most charming character of the conduction cooled superconducting magnet lies in the operating convenience, compact size, flexibility, and mobility [2], [3]. Furthermore, due to the shortage of helium natural resources, the driver for many researchers to seek conduction-cooled solutions is that it is able to guarantee the continuity of their experiments, which is crucial and fundamental to any research program. Due to limited solid thermal conductance relative to liquid helium, the superconducting magnet system suffers from bigger temperature difference and weaker cryogenic stability. The spare cooling capacity of the cryocooler, which is equal to nominal cooling capacity minus system total heat load, can either provide low operating temperature to increase the critical current performance for the superconducting magnet.