Abstract: Superconducting undulators (SCUs) require thermal control of large heat loads for proper operation and to provide high radiation output powers. A conduction cooling apparatus for an SCU device includes a beam chamber having a hollow core inside of the beam chamber along a length of the beam chamber. The hollow core allows charged particles to pass through the hollow core of the beam chamber to generate output radiation. A beam chamber holder is physically and thermally coupled to the beam chamber to maintain a position, and control a temperature of, the beam chamber. At least one magnet is configured to provide a magnetic field to the hollow core, and at least one cooling bar is physically and thermally coupled to the magnet. A cooling source is thermally coupled to both the beam chamber holder and the cooling bar to provide cooling capacity to the beam chamber and the magnet.