Test Case 26
Test Case 26 is used to assert correct working of adjacency structures for shipping and pipeline. All parameters are the same as in Test Case 9, 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 26a and 26b), however, mathematical model data remain unchanged.
Sets
| Set Name | Set Value |
|---|---|
| $\mathcal{A}$ | $\{DEU\_to\_DEU,DEU\_to\_NLD,NLD\_to\_DEU,NLD\_to\_NLD\}$ |
| $\mathcal{AC}$ | ∅ |
| $\mathcal{C}$ | $\{CNG\}$ |
| $\mathcal{DSB}$ | $\{Block 1\}$ |
| $\mathcal{I}$ | $\{Natural Gas\}$ |
| $\mathcal{IOB}$ | $\{Block 1\}$ |
| $\mathcal{M}$ | $\{OnlyTimeStep\}$ |
| $\mathcal{N}$ | $\{DEU,NLD\}$ |
| $\mathcal{O}$ | $\{FES\}$ |
| $\mathcal{P}$ | $\{P\_DEU,P\_NLD\}$ |
| $\mathcal{RA}$ | ∅ |
| $\mathcal{RS}$ | ∅ |
| $\mathcal{RV}$ | ∅ |
| $\mathcal{S}$ | ∅ |
| $\mathcal{T}$ | $\{T\_DEU,T\_NLD\}$ |
| $\mathcal{V}$ | ∅ |
| $\mathcal{VT}$ | ∅ |
| $\mathcal{Y}$ | $\{2020\}$ |
Parameters
| Parameter | y=2020 |
|---|---|
| $\frac{1}{ | \Delta |_{y}}$ | $1$ |
| ${1}^{NC}_{T\_DEU,DEU,CNG}$ | $0$ |
| ${1}^{NC}_{T\_DEU,NLD,CNG}$ | $0$ |
| ${1}^{NC}_{T\_NLD,DEU,CNG}$ | $0$ |
| ${1}^{NC}_{T\_NLD,NLD,CNG}$ | $0$ |
| $r_{y}$ | $1$ |
| $d_{OnlyTimeStep}$ | $1$ |
| $c^{P}_{P\_DEU,CNG,FES,y}$ | $0.5$ |
| $c^{\Delta P}_{P\_DEU,CNG,FES,y}$ | $1$ |
| $c^{P}_{P\_NLD,CNG,FES,y}$ | $0.5$ |
| $c^{\Delta P}_{P\_NLD,CNG,FES,y}$ | $1$ |
| $fi^{P}_{CNG,Natural Gas,FES}$ | $1$ |
| $L^{P}_{CNG,FES}$ | $50$ |
| $\Lambda^{P}_{P\_DEU,CNG,FES,y}$ | $10$ |
| $\Lambda^{I}_{P\_DEU,Natural Gas,Block 1,y}$ | $10$ |
| $\Omega^{I}_{P\_DEU,Natural Gas,Block 1,y}$ | $0$ |
| $c^{\Delta^{I}}_{P\_DEU,Natural Gas,Block 1,y}$ | $0$ |
| $\Lambda^{T}_{T\_DEU,DEU,CNG,FES,y}$ | $10$ |
| $\Lambda^{T}_{T\_DEU,NLD,CNG,FES,y}$ | $10$ |
| $\Omega^{P}_{P\_DEU,CNG,FES,y}$ | $10$ |
| $\Lambda^{P}_{P\_NLD,CNG,FES,y}$ | $10$ |
| $\Lambda^{I}_{P\_NLD,Natural Gas,Block 1,y}$ | $10$ |
| $\Omega^{I}_{P\_NLD,Natural Gas,Block 1,y}$ | $0$ |
| $c^{\Delta^{I}}_{P\_NLD,Natural Gas,Block 1,y}$ | $0$ |
| $\Lambda^{T}_{T\_NLD,DEU,CNG,FES,y}$ | $10$ |
| $\Lambda^{T}_{T\_NLD,NLD,CNG,FES,y}$ | $10$ |
| $\Omega^{P}_{P\_NLD,CNG,FES,y}$ | $10$ |
| $l^{A}_{DEU\_to\_DEU,CNG}$ | $0.0$ |
| $l^{A}_{DEU\_to\_NLD,CNG}$ | $0.0$ |
| $l^{A}_{NLD\_to\_DEU,CNG}$ | $0.1$ |
| $l^{A}_{NLD\_to\_NLD,CNG}$ | $0.0$ |
| $c^{A}_{DEU\_to\_DEU,CNG,y}$ | $0.0$ |
| $c^{A}_{DEU\_to\_NLD,CNG,y}$ | $0.0$ |
| $c^{A}_{NLD\_to\_DEU,CNG,y}$ | $0.1$ |
| $c^{A}_{NLD\_to\_NLD,CNG,y}$ | $0.0$ |
| $c^{\Delta A}_{DEU\_to\_DEU,CNG,y}$ | $0$ |
| $c^{\Delta A}_{DEU\_to\_NLD,CNG,y}$ | $0$ |
| $c^{\Delta A}_{NLD\_to\_DEU,CNG,y}$ | $0$ |
| $c^{\Delta A}_{NLD\_to\_NLD,CNG,y}$ | $0$ |
| $\Lambda^{A}_{DEU\_to\_DEU,CNG,y}$ | $0$ |
| $\Lambda^{A}_{DEU\_to\_NLD,CNG,y}$ | $0$ |
| $\Lambda^{A}_{NLD\_to\_DEU,CNG,y}$ | $10$ |
| $\Lambda^{A}_{NLD\_to\_NLD,CNG,y}$ | $0$ |
| $L^{A}_{CNG}$ | $50$ |
| $c^{I_{l}}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep,y}$ | $2$ |
| $c^{I_{q}}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep,y}$ | $0$ |
| $av^{I}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep}$ | $1$ |
| $c^{I_{l}}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep,y}$ | $0.5$ |
| $c^{I_{q}}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep,y}$ | $0$ |
| $av^{I}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep}$ | $1$ |
| $\alpha^{D}_{DEU,CNG,Block 1,OnlyTimeStep,y}$ | $2$ |
| $\beta^{D}_{DEU,CNG,Block 1,OnlyTimeStep,y}$ | $-1$ |
| $\alpha^{D}_{NLD,CNG,Block 1,OnlyTimeStep,y}$ | $0$ |
| $\beta^{D}_{NLD,CNG,Block 1,OnlyTimeStep,y}$ | $-1$ |
Test Criteria
| Expression | Result y=2020 |
|---|---|
| $\tilde{P}^{T \rightarrow D}_{DEU,CNG,Block 1,OnlyTimeStep,y}$ | $2.0$ |
| $\tilde{P}^{T \rightarrow D}_{NLD,CNG,Block 1,OnlyTimeStep,y}$ | $0.0$ |
| $q^{I}_{P\_DEU,Natural Gas,Block 1,OnlyTimeStep,y}$ | $0.0$ |
| $q^{I}_{P\_NLD,Natural Gas,Block 1,OnlyTimeStep,y}$ | $0.0$ |
Graphical Solution
Marginalized Provision Costs and Prices for Different Nodes
Note: Marginalized costs are depicted as if adjacency was given.
