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That Load Distribution Scheme
input field ONLY applies when there are multiple pieces of supply equipment in the loop. For example, with two boilers setting this to "Optimal" will have one boiler operate at it's optimal PLR and the other boiler operate to meet the remaining load. If there's only one boiler, it has to meet all the load by itself, which is why you're seeing the same water heating energy usage results when changing it between "Optimal" and "SequentialLoad".
To model a two-stage boiler in OpenStudio, I would recommend adding two boilers to the supply side. Each boiler would represent a stage, so that you can define the appropriate parameters separately (capacity, efficiency, flow rate, min/max PLR, biquadratic performance curve coefficients, etc.). Now, to have the boilers operate independently (i.e. first-stage boiler runs by itself for low loads and second-stage boiler runs by itself for higher loads), you'll need to do some editing to the EnergyPlus IDF generated by OpenStudio. I say that because you will need to update things that are not exposed in OpenStudio:
So, using an example of staging 0 - 50kW and then 50-100kW, your updated PlantEquipmentOperationSchemes input structure will look like:
PlantEquipmentOperationSchemes,
HW Loop Operation, !- Name
PlantEquipmentOperation:HeatingLoad, ! Control Scheme 1 Object Type
Boiler Staging, !- Control Scheme 1 Name
AlwaysOn; !- Control Scheme 1 Schedule
PlantEquipmentOperation:HeatingLoad,
Boiler Staging, !- Name
0, !- Load Range 1 Lower Limit
50000, !- Load Range 1 Upper Limit
Boiler First Stage List, !- Load Range 1 Equipment List Name
50000, !- Load Range 2 Lower Limit
100000, !- Load Range 2 Upper Limit
Boiler Second Stage List; !- Load Range 2 Equipment List Name
PlantEquipmentList,
Boiler First Stage List, !- Name
Boiler:HotWater, !- Equipment 1 Object Type
Boiler Stage 1; !- Equipment 1 Object Name
PlantEquipmentList,
Boiler Second Stage List, !- Name
Boiler:HotWater, !- Equipment 1 Object Type
Boiler Stage 2; !- Equipment 1 Object Name
Boiler:HotWater,
Boiler Stage 1, !- Name
...
Boiler:HotWater,
Boiler Stage 2, !- Name
...
Actual names of the Boiler:HotWater
objects will be what you defined in OpenStudio.