  We consider the symmetric simple exclusion with open boundaries that are in
contact with particle reservoirs at different densities. The reservoir
densities changes at a slower time scale with respect to the natural time scale
the system reaches the stationary state.This gives rise to the quasi static
hydrodynamic limit proven in [10]. We study here the large deviations with
respect to this limit for the particle density field and the total current. We
identify explicitely the large deviation functional and prove that it satisfies
a fluctuation relation.
