Hi bukero,
Convergence in HFSS is measured in a number of ways, but usually it's measured by scattering parameters.
Specifically, convergence is the evaluated based on the largest magnitude of change of each entry in the simulation's scattering matrix ("delta S"), between each mesh refinement step. The idea is that if the mesh is appropriately refined, increasing the meshing further shouldn't change the results in any significant manner. So if the mesh is being refined, and the scattering parameters are changing by a large degree, then the mesh must not be sufficiently accurate.