In this talk,  we will discuss the robustness error analysis  for the incompressible magnetohydrodynamics  systems. The velocity field is discretized by divergence-conforming Raviart-Thomas spaces with interior penalties, and the magnetic equation is approximated by curl-conforming  edge elements.   The results show that the proposed scheme meets a discrete unconditional energy stability and the numerical solution is well-posedness. In addition, a priori error estimates are given, in which the constants are independent of the Reynolds number.