  The TRIUMF ultracold advanced neutron (TUCAN) collaboration is a transpacific
collaboration with the objective to measure the neutron electric dipole moment.
We aim for an unprecedented sensitivity of $10^{-27}\,e$cm, an improvement by a
factor of 30 over the current upper limit for this elusive quantity. To achieve
this goal, we are planning a next-generation source for ultracold neutrons,
based on a new, dedicated neutron spallation source at TRIUMF, liquid deuterium
as cold moderator, and superfluid helium as ultracold-neutron converter. To
operate at the full beam power of 20$\,$kW, a $^3$He fridge will provide a
cooling power of 10$\,$W at 0.8$\,$K, cooling the converter to a temperature of
1.1$\,$K.
