Can we apply Super Position principle for an IEEE bus (transmission) system? i.e. for a power grid represented in bus system, can we apply Super Position Theorem?
Why not? If I understand well, it is a linear system, or it is assumed linear for the purpose of calculation / simulation. Maybe generators might have (mild) non linear behavior if considering a wide range of operating conditions , but the transmission line should not in normal conditions.
It depends on the study under consideration. If you are dealing, for example, with a load flow problem for a classical system structure, the superposition theorem may be used. In similar situations, the superposition can be applied on linear elements. In situations where non-linear element exist in the system structure, the superposition cannot be applied. In addition, it cannot be used in the analysis of perturbed systems; two independent stable transients are not likely to be stable if they are simultaneous!
Why and where do you want to use the superposition theorem in power system studies?