The consistency strength of "every stationary set reflects"

The consistency strength of a regular cardinal so that every stationary set reflects is the same as that of a regular cardinal with a normal ideal I so that every I-positive set reflects in a I-positive set. We call such a cardinal a reflection cardinal and such an ideal a reflection ideal. The consistency strength is also the same as the existence of a regular cardinal κ so that every κ-free (abelian) group is κ⁺-free. In L, the first reflection cardinal is greater than the first greatly Mahlo cardinal and less than the first weakly compact cardinal (if any).