The impacts of heat treatment (HT) temperature and Ti doping on low-field flux jumping and 12 T J c of high-performance internal-Sn, distributed barrier (Nb-Ta) 3 Sn strands have been explored. It was found that higher HT temperatures could suppress low-field flux jumps by not only reducing the J c (B) curve slope, but also increasing the heat capacity and decreasing the dJ c / dT. A metric, J c,3 T /J c,12 T (the ratio of 3 T to 12 T J c ), was used to describe the slope of the J c (B) curve. In addition, an analytical equation was derived to predict the amplitude of a flux jump. The J c (B) curves were further analyzed in the form of Kramer plots to extract the irreversibility field, B irr , and the maximum bulk pinning forces, F p,max . The variations of B irr , F p,max and grain size, d, with HT and Ti doping were also analyzed. F p,max initially increasing linearly with 1/d, saturated at small values of d, possibly because the grains became columnar.