2. Objective Function¶
For detailed information about the variables, go to Model Description.
Investment costs in (2.1).
(2.1)¶\[
c_{inv} = \sum_j (Cap_j - x_{{th}_{cap,j}}) * IK_j *\alpha_j + \sum_{hs}(Cap_{hs} - cap_{hs}) * IK_{hs} *\alpha_{hs}
\]
Fixed op price costs in (2.2).
(2.2)¶\[
c_{op_{fix}} = \sum_j Cap_j * OP_{{fix}_j} + \sum_{hs} Cap_{hs} * OP_{{fix}_{hs}}
\]
Variable op costs in (2.3).
(2.3)¶\[
c_{op_{var}} = \sum_{j,t} x_{{th}_j,t} * OP_{{var}_j}
\]
Variable costs in (2.4).
(2.4)¶\[
c_{var} = \sum_{j,t} x_{{th}_j,t} * mc_{j,t}
\]
(2.5)¶\[
c_{ramp} = \sum_{j,t} ramp_{{j}_{waste}} * c_{{ramp}_{waste}} + \sum_{j,t} ramp_{{j}_{chp,t}} * ramp_{chp}
\]
\( c_{cold} \) in (2.6) counts up the coldstarts and multiplies it with the coldstart costs.
(2.6)¶\[
c_{cold} = \sum_{j,t} coldstart_{jt} * c_{coldstart_{j}}
\]
Sum of all costs is calculated in (2.7).
(2.7)¶\[
c_{tot} = c_{inv} + c_{var} + c_{op_{fix}} + c_{op_{var}} + c_{cold} + c_{ramp}
\]
(2.8)¶\[
rev_{gen_{electricity}} = \sum_{j,t} x_{el_{jt}} * sale_{electricityprice_{j,t}}
\]
(2.9)shows all costs which are subtracted by the electricity generation.
(2.9)¶\[
rule = c_{tot} - rev_{gen_{electricity}}
\]