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From my experience, as Archmage stated, you will have more accurate results with the "movableinsulation" model, in which no mass storage in the insulation layer is modelled, although this could be quite accurate (depending on the density of the insulation considered).
Moreover regarding the use of EMS and the object "EnergyManagementSystem:ConstructionIndexVariable", you can use this if the number of nodes, calculated by the CTF method, in the different constructions you are using remain the same for all the constructions. This is not usually the case if you change the thermal resistance of your construction. Therefore EnergyPlus will give you an error.
Please let me know if you have another experience with the EMS object. Fabio (ff279@cam.ac.uk)