I'm pretty sure that all you need to start with is linear programming and the Aggregate Production Planning model -- which is usually being used for physical ma

I'm pretty sure that all you need to start with is linear programming and the Aggregate Production Planning model -- which is usually being used for physical manufacturing, but can be adapted to electricity production. Ideally you'd want a MILP solver to make automated decisions to assign certain binary variables (for example whether or not to build certain large-scale storage projects of very specific sizes -- typically PHES, since they're all different), but you can often get by by simply generating multiple models for every combination of binary variables and picking the best one. Similarly you can handle the integration of nuclear power plants, which would be integer variables (for example the number of 1 GWe blocks in operation) -- just generate N models for 0..N-1 nuclear reactors on the grid. I did one such model for the Czech grid some time ago but I'd have to dig it up. The basics are not difficult, though -- just split up the time period into intervals of a suitable size and observe in each time interval that Production_t + Storage_t - Consumption_t - Storage_t+1 = 0. That's what I did, having known production models but having read no papers on the renewable storage subject either. The logic is the same, though. I just got my grid information from https://open-power-system-data.org/ https://open-power-system-data.org/ and ran with it.