Test Case 28

Test Case 28 is used to assert correct working of adjacency structures for arc capacity repurposing. All parameters are the same as in Test Case 21, however commodity-specific adjacency prohibits flows (since $\mathcal{AC}$ is empty). The tables below depict the sets and parameters. In addition, tests and a graphical solution are depicted.

The implementation in the testing routine features two separate runs for shipping and pipelines (denoted by case 28a and 28b), however, mathematical model data remain unchanged.

Sets

Set Name	Set Value
$\mathcal{A}$	$\{DEU\_to\_DEU,DEU\_to\_NLD,NLD\_to\_DEU,NLD\_to\_NLD\}$
$\mathcal{AC}$	∅
$\mathcal{C}$	$\{CNG,GH2\}$
$\mathcal{DSB}$	$\{Block 1\}$
$\mathcal{I}$	$\{Natural Gas\}$
$\mathcal{IOB}$	$\{Block 1\}$
$\mathcal{M}$	$\{OnlyTimeStep\}$
$\mathcal{N}$	$\{DEU,NLD\}$
$\mathcal{O}$	$\{FES\}$
$\mathcal{P}$	$\{P\_DEU,P\_NLD\}$
$\mathcal{RA}$	∅
$\mathcal{RS}$	∅
$\mathcal{RV}$	∅
$\mathcal{S}$	∅
$\mathcal{T}$	$\{T\_DEU,T\_NLD\}$
$\mathcal{V}$	∅
$\mathcal{VT}$	∅
$\mathcal{Y}$	$\{2020,2021\}$

Parameters

Parameter	y=2020	y=2021
$\frac{1}{ \| \Delta \|_{y}}$	$1$	$1$
${1}^{NC}_{T\_DEU,DEU,CNG}$	$0$	$0$
${1}^{NC}_{T\_DEU,NLD,CNG}$	$0$	$0$
${1}^{NC}_{T\_NLD,DEU,CNG}$	$0$	$0$
${1}^{NC}_{T\_NLD,NLD,CNG}$	$0$	$0$
${1}^{NC}_{T\_DEU,DEU,GH2}$	$0$	$0$
${1}^{NC}_{T\_DEU,NLD,GH2}$	$0$	$0$
${1}^{NC}_{T\_NLD,DEU,GH2}$	$0$	$0$
${1}^{NC}_{T\_NLD,NLD,GH2}$	$0$	$0$
$r_{y}$	$1$	$1$
$d_{OnlyTimeStep}$	$1$	$1$
$c^{P}_{P\_DEU,CNG,FES,y}$	$0.5$	$0.5$
$c^{\Delta P}_{P\_DEU,CNG,FES,y}$	$1$	$1$
$c^{P}_{P\_NLD,CNG,FES,y}$	$0.5$	$0.5$
$c^{\Delta P}_{P\_NLD,CNG,FES,y}$	$1$	$1$
$fi^{P}_{CNG,Natural Gas,FES}$	$1$	$1$
$L^{P}_{CNG,FES}$	$50$	$50$
$\Lambda^{P}_{P\_DEU,CNG,FES,y}$	$10$	$10$
$c^{P}_{P\_DEU,GH2,FES,y}$	$0.4$	$0.4$
$c^{\Delta P}_{P\_DEU,GH2,FES,y}$	$1$	$1$
$c^{P}_{P\_NLD,GH2,FES,y}$	$0.5$	$0.5$
$c^{\Delta P}_{P\_NLD,GH2,FES,y}$	$1$	$1$
$fi^{P}_{GH2,Natural Gas,FES}$	$1$	$1$
$L^{P}_{GH2,FES}$	$50$	$50$
$\Lambda^{P}_{P\_DEU,GH2,FES,y}$	$10$	$10$
$\Lambda^{I}_{P\_DEU,Natural Gas,Block 1,y}$	$10$	$10$
$\Omega^{I}_{P\_DEU,Natural Gas,Block 1,y}$	$0$	$0$
$c^{\Delta^{I}}_{P\_DEU,Natural Gas,Block 1,y}$	$0$	$0$
$\Lambda^{T}_{T\_DEU,DEU,CNG,FES,y}$	$10$	$10$
$\Lambda^{T}_{T\_DEU,NLD,CNG,FES,y}$	$10$	$10$
$\Lambda^{T}_{T\_DEU,DEU,GH2,FES,y}$	$10$	$10$
$\Lambda^{T}_{T\_DEU,NLD,GH2,FES,y}$	$10$	$10$
$\Omega^{P}_{P\_DEU,CNG,FES,y}$	$10$	$10$
$\Omega^{P}_{P\_DEU,GH2,FES,y}$	$10$	$10$
$\Lambda^{P}_{P\_NLD,CNG,FES,y}$	$10$	$10$
$\Lambda^{P}_{P\_NLD,GH2,FES,y}$	$10$	$10$
$\Lambda^{I}_{P\_NLD,Natural Gas,Block 1,y}$	$10$	$10$
$\Omega^{I}_{P\_NLD,Natural Gas,Block 1,y}$	$0$	$0$
$c^{\Delta^{I}}_{P\_NLD,Natural Gas,Block 1,y}$	$0$	$0$
$\Lambda^{T}_{T\_NLD,DEU,CNG,FES,y}$	$10$	$10$
$\Lambda^{T}_{T\_NLD,DEU,GH2,FES,y}$	$10$	$10$
$\Lambda^{T}_{T\_NLD,NLD,CNG,FES,y}$	$10$	$10$
$\Lambda^{T}_{T\_NLD,NLD,GH2,FES,y}$	$10$	$10$
$\Omega^{P}_{P\_NLD,CNG,FES,y}$	$10$	$10$
$\Omega^{P}_{P\_NLD,GH2,FES,y}$	$10$	$10$
$l^{A}_{DEU\_to\_DEU,CNG}$	$0.0$	$0.0$
$l^{A}_{DEU\_to\_NLD,CNG}$	$0.0$	$0.0$
$l^{A}_{NLD\_to\_DEU,CNG}$	$0.1$	$0.1$
$l^{A}_{NLD\_to\_NLD,CNG}$	$0.0$	$0.0$
$l^{A}_{DEU\_to\_DEU,GH2}$	$0.0$	$0.0$
$l^{A}_{DEU\_to\_NLD,GH2}$	$0.0$	$0.0$
$l^{A}_{NLD\_to\_DEU,GH2}$	$0.1$	$0.1$
$l^{A}_{NLD\_to\_NLD,GH2}$	$0.0$	$0.0$
$c^{A}_{DEU\_to\_DEU,CNG,y}$	$0.0$	$0.0$
$c^{A}_{DEU\_to\_NLD,CNG,y}$	$0.0$	$0.0$
$c^{A}_{NLD\_to\_DEU,CNG,y}$	$0.1$	$0.1$
$c^{A}_{NLD\_to\_NLD,CNG,y}$	$0.0$	$0.0$
$c^{A}_{DEU\_to\_DEU,GH2,y}$	$0.0$	$0.0$
$c^{A}_{DEU\_to\_NLD,GH2,y}$	$0.0$	$0.0$
$c^{A}_{NLD\_to\_DEU,GH2,y}$	$0.1$	$0.1$
$c^{A}_{NLD\_to\_NLD,GH2,y}$	$0.0$	$0.0$
$c^{\Delta A}_{DEU\_to\_DEU,CNG,y}$	$0$	$0$
$c^{\Delta A}_{DEU\_to\_NLD,CNG,y}$	$10$	$10$
$c^{\Delta A}_{NLD\_to\_DEU,CNG,y}$	$10$	$10$
$c^{\Delta A}_{NLD\_to\_NLD,CNG,y}$	$0$	$0$
$c^{\Delta A}_{DEU\_to\_DEU,GH2,y}$	$0$	$0$
$c^{\Delta A}_{DEU\_to\_NLD,GH2,y}$	$10$	$10$
$c^{\Delta A}_{NLD\_to\_DEU,GH2,y}$	$10$	$10$
$c^{\Delta A}_{NLD\_to\_NLD,GH2,y}$	$0$	$0$
$c^{\Delta^{RA}}_{DEU\_to\_DEU,CNG,GH2,y}$	$0$	$0$
$c^{\Delta^{RA}}_{DEU\_to\_NLD,CNG,GH2,y}$	$0$	$0$
$c^{\Delta^{RA}}_{NLD\_to\_DEU,CNG,GH2,y}$	$0.055$	$0.055$
$c^{\Delta^{RA}}_{NLD\_to\_NLD,CNG,GH2,y}$	$0$	$0$
$f^{RA}_{CNG,GH2}$	$0.5$	$0.5$
$\Lambda^{A}_{DEU\_to\_DEU,CNG,y}$	$0$	$0$
$\Lambda^{A}_{DEU\_to\_NLD,CNG,y}$	$10$	$10$
$\Lambda^{A}_{NLD\_to\_DEU,CNG,y}$	$10$	$10$
$\Lambda^{A}_{NLD\_to\_NLD,CNG,y}$	$0$	$0$
$\Lambda^{A}_{DEU\_to\_DEU,GH2,y}$	$0$	$0$
$\Lambda^{A}_{DEU\_to\_NLD,GH2,y}$	$0$	$0$
$\Lambda^{A}_{NLD\_to\_DEU,GH2,y}$	$0$	$0$
$\Lambda^{A}_{NLD\_to\_NLD,GH2,y}$	$0$	$0$
$L^{A}_{CNG}$	$50$	$50$
$L^{A}_{GH2}$	$50$	$50$
$c^{I_{l}}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep,y}$	$2$	$2$
$c^{I_{q}}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep,y}$	$0$	$0$
$av^{I}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep}$	$1$	$1$
$c^{I_{l}}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep,y}$	$0.5$	$0.5$
$c^{I_{q}}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep,y}$	$0$	$0$
$av^{I}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep}$	$1$	$1$
$\alpha^{D}_{DEU,CNG,Block 1,OnlyTimeStep,y}$	$2$	$0$
$\beta^{D}_{DEU,CNG,Block 1,OnlyTimeStep,y}$	$-1$	$0$
$\alpha^{D}_{NLD,CNG,Block 1,OnlyTimeStep,y}$	$0$	$0$
$\beta^{D}_{NLD,CNG,Block 1,OnlyTimeStep,y}$	$-1$	$0$
$\alpha^{D}_{DEU,GH2,Block 1,OnlyTimeStep,y}$	$0$	$2$
$\beta^{D}_{DEU,GH2,Block 1,OnlyTimeStep,y}$	$0$	$-1$
$\alpha^{D}_{NLD,GH2,Block 1,OnlyTimeStep,y}$	$0$	$0$
$\beta^{D}_{NLD,GH2,Block 1,OnlyTimeStep,y}$	$0$	$-1$

Test Criteria

Expression	Result y=2020	Result y=2021
$\tilde{P}^{T \rightarrow D}_{DEU,CNG,Block 1,OnlyTimeStep,y}$	$2$	$0$
$\tilde{P}^{T \rightarrow D}_{NLD,CNG,Block 1,OnlyTimeStep,y}$	$0.0$	$0.0$
$\tilde{P}^{T \rightarrow D}_{DEU,GH2,Block 1,OnlyTimeStep,y}$	$0$	$2$
$\tilde{P}^{T \rightarrow D}_{NLD,GH2,Block 1,OnlyTimeStep,y}$	$0.0$	$0.0$
$q^{I}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep,y}$	$0.0$	$0.0$
$q^{I}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep,y}$	$0.0$	$0.0$