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Hi Leticia,
I'm wondering if you're confusing the capacity of a plant with its electricity generation. When you assign an Exogenous Capacity, you're telling LEAP that the capacity must exist - even though LEAP may choose not to dispatch that capacity. So when you say that plants are discarded, do you mean that they are no longer generating electricity? You can check this in Results view by viewing Transformation: Outputs by Output Fuel, and Transformation: Capacity (displayed by branches), which will show you how many MW of each plant exist, and how many MWh they generate.
Note that when you choose to optimize the construction and dispatch of plants in LEAP, then LEAP will begin performing these calculations beginning in the First Scenario Year. For you, this is the year after your base year of 2014, and means that the Historical Production variable is ignored after this year.
Aside from this, what version of LEAP are you currently running?
To answer your last question, yes, you may use the Minimum Capacity Addition variable to constrain the smallest amount of capacity that can be added in a given year.
http://www.energycommunity.org/WebHelpPro/Transformation/Copy_of_Minimum_Capacity_Addition.htm
However, note that this applies in every year - including those in which LEAP would not have otherwise built any capacity. If you want to discretize the allowable capacity additions of power plants (but still allow the possibility that 0 MW are added) you'll need to use mixed integer optimization. Visit Basic Params: Optimization, and check the box next to "Enable Addition Size". This will reveal a new variable for each power plant which allows you to control the "block size" of new capacity. Have a look at this help file:
http://www.energycommunity.org/WebHelpPro/Transformation/Minimum_Addition_Size.htm
Hope this helps,
Taylor