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Actually it is not sensible.

The power grid is a superior source of reliable electric power in comparison to on-site sources. The power grid has any number of generators as well as switching equipment to maintain power to the loads. A single nuclear plant running at full power will only draw about 50MWe from the power grid, mostly to run pumps. The load is less at shutdown. The power-grids can easily handle a single nuclear site electric power load. Most nuclear plants have two circuits coming into the station and one going out (for each reactor/turbine pair). The three circuits are fairly independent. A nuclear power plant pushing 800MWe to 1200MWe out to the power grid has to be connected to that power grid -- you cannot sit and spin a turbine at full power with no load, or even partial power for that matter. The circuits coming in from off-site are connected to the same AC bus that the on-site DG is connected to, so that if the off-site circuit trips, the DG picks up that load. Two safety-systems in the nuclear plant; thus, two DGs. Either safety-system is sufficient. Safety-systems are meant to be independent to avoid common-cause failures, so cross-connecting is physically possible, but rarely done.