  Searches for the permanent electric dipole moment of the neutron (nEDM)
provide strong constraints on theories beyond the Standard Model of particle
physics.
  The TUCAN collaboration is constructing a source for ultracold neutrons (UCN)
and an apparatus to search for the nEDM at TRIUMF, Vancouver, Canada.
  In this work, we estimate that the spallation-driven UCN source based on a
superfluid helium converter will provide $(1.38\pm0.02) \times 10^7$ polarized
UCN at a density of $217\pm3$~UCN/cm$^3$ to a room-temperature EDM experiment
per fill.
  With $(1.51\pm0.02) \times 10^6$ neutrons detected after the Ramsey cycle,
the statistical sensitivity for an nEDM search per storage cycle will be
$(1.94\pm0.06) \times 10^{-25}\,e$cm (1$\sigma$).
  The goal sensitivity of $10^{-27}\,e$cm (1$\sigma$) can be reached within
$280\pm16$ measurement days.

Instrumentation and Detectors;Nuclear Experiment