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Hi Christoph,
1. Social Costs represent the overall cost for a scenario. As with other results, the values you see displayed depend on where you have clicked in the tree with you mouse - but if you select the highest-level branch in your area, you'll be viewing the totals cost for your whole model for each of LEAP's cost categories. The term "social" is applied because the costs may include externalities which have been priced, and also because the costs represent the cost to society as a whole - LEAP makes no judgement about who must bear these costs.
http://www.energycommunity.org/WebHelpPro/Results_Categories/Costs.htm
2. The Cost of Production is described here:
http://www.energycommunity.org/WebHelpPro/Results_Categories/Module_Cost_Balance.htm
It gives you the cost (expressed as a positive number) to produce a transformation module's output fuels. By default it includes auxiliary fuel costs, feedstock fuel costs, externality costs, capital, fixed and variable OM costs and stranded costs. It also includes any module-level costs, if specified using the Module Costs variable. It excludes sales revenue.
3. The investment cost in each year (only for transformation processes) is the product of the number of MW added * cost for each MW. Here is the help page:
http://www.energycommunity.org/WebHelpPro/Results_Categories/Investment_Costs.htm
The Capital "cost category" in each year, which you'll see under Social Costs, shows the annualized investment cost using the process' lifetime and interest rate.
Hope this helps,
Taylor