Test Case 22

Test Case 22 asserts that repurposing of storage capacities works as intended, including repurposing factors. The tables below describe an extended version of Test Case 5 with two commodities and years instead of one. In addition, an overview of test criteria and a graphical solution is displayed.

Sets

Set NameSet Value
$\mathcal{A}$$\{DEU\_to\_DEU\}$
$\mathcal{AC}$$\{(DEU\_to\_DEU, CNG), (DEU\_to\_DEU, GH2)\}$
$\mathcal{C}$$\{CNG,GH2\}$
$\mathcal{DSB}$$\{Block 1\}$
$\mathcal{I}$$\{Natural Gas\}$
$\mathcal{IOB}$$\{Block 1\}$
$\mathcal{M}$$\{L,H\}$
$\mathcal{N}$$\{DEU\}$
$\mathcal{O}$$\{FES\}$
$\mathcal{P}$$\{P\_DEU\}$
$\mathcal{RA}$
$\mathcal{RS}$$\{(CNG,GH2)\}$
$\mathcal{RV}$
$\mathcal{S}$$\{S\_DEU\}$
$\mathcal{T}$$\{T\_DEU\}$
$\mathcal{V}$
$\mathcal{VT}$
$\mathcal{Y}$$\{2020,2021\}$

Parameters

Parametery=2020 m=Ly=2020 m=Hy=2021 m=Ly=2021 m=H
$\frac{1}{ | \Delta |_{y}}$$1$$1$$1$$1$
${1}^{NC}_{T\_DEU,DEU,CNG}$$0$$0$$0$$0$
${1}^{NC}_{T\_DEU,DEU,GH2}$$0$$0$$0$$0$
$r_{y}$$1$$1$$1$$1$
$d_{m}$$2$$1$$2$$1$
$c^{P}_{P\_DEU,CNG,FES,y}$$0.4$$0.4$$0.4$$0.4$
$c^{\Delta P}_{P\_DEU,CNG,FES,y}$$1$$1$$1$$1$
$fi^{P}_{CNG,Natural Gas,FES}$$1$$1$$1$$1$
$L^{P}_{CNG,FES}$$50$$50$$50$$50$
$\Lambda^{P}_{P\_DEU,CNG,FES,y}$$10$$10$$10$$10$
$c^{P}_{P\_DEU,GH2,FES,y}$$0.3$$0.3$$0.3$$0.3$
$c^{\Delta P}_{P\_DEU,GH2,FES,y}$$1$$1$$1$$1$
$fi^{P}_{GH2,Natural Gas,FES}$$1$$1$$1$$1$
$L^{P}_{GH2,FES}$$50$$50$$50$$50$
$\Lambda^{P}_{P\_DEU,GH2,FES,y}$$10$$10$$10$$10$
$\Lambda^{I}_{P\_DEU,Natural Gas,Block 1,y}$$10$$10$$10$$10$
$\Omega^{I}_{P\_DEU,Natural Gas,Block 1,y}$$0$$0$$0$$0$
$c^{\Delta^{I}}_{P\_DEU,Natural Gas,Block 1,y}$$0$$0$$0$$0$
$\Lambda^{T}_{T\_DEU,DEU,CNG,FES,y}$$10$$10$$10$$10$
$\Lambda^{T}_{T\_DEU,DEU,GH2,FES,y}$$10$$10$$10$$10$
$\Omega^{P}_{P\_DEU,CNG,FES,y}$$10$$10$$10$$10$
$\Omega^{P}_{P\_DEU,GH2,FES,y}$$10$$10$$10$$10$
$l^{A}_{DEU\_to\_DEU,CNG}$$0$$0$$0$$0$
$l^{A}_{DEU\_to\_DEU,GH2}$$0$$0$$0$$0$
$c^{A}_{DEU\_to\_DEU,CNG,y}$$0$$0$$0$$0$
$c^{A}_{DEU\_to\_DEU,GH2,y}$$0$$0$$0$$0$
$c^{\Delta A}_{DEU\_to\_DEU,CNG,y}$$0$$0$$0$$0$
$c^{\Delta A}_{DEU\_to\_DEU,GH2,y}$$0$$0$$0$$0$
$\Lambda^{A}_{DEU\_to\_DEU,CNG,y}$$0$$0$$0$$0$
$\Lambda^{A}_{DEU\_to\_DEU,GH2,y}$$0$$0$$0$$0$
$L^{A}_{CNG}$$50$$50$$50$$50$
$L^{A}_{GH2}$$50$$50$$50$$50$
$l^{S}_{CNG,m,L}$$0$$0$$0$$0$
$l^{S}_{CNG,m,H}$$0$$0$$0$$0$
$c^{S_{in}}_{S\_DEU,CNG,y}$$0.05$$0.05$$0.05$$0.05$
$c^{S_{out}}_{S\_DEU,CNG,y}$$0.05$$0.05$$0.05$$0.05$
$c^{\Delta S}_{S\_DEU,CNG,y}$$10$$10$$10$$10$
$l^{S}_{GH2,m,L}$$0$$0$$0$$0$
$l^{S}_{GH2,m,H}$$0$$0$$0$$0$
$c^{S}_{S\_DEU,GH2,m,H,y}$$0.1$$0.1$$0.1$$0.1$
$c^{S}_{S\_DEU,GH2,m,L,y}$$0.1$$0.1$$0.1$$0.1$
$c^{\Delta S}_{S\_DEU,GH2,y}$$10$$10$$10$$10$
$c^{\Delta^{RS}}_{S\_DEU,CNG,GH2,y}$$0.05$$0.05$$0.025$$0.025$
$f^{RS}_{CNG,GH2}$$0.5$$0.5$$0.5$$0.5$
$\Lambda^{S}_{S\_DEU,CNG,y}$$10$$10$$10$$10$
$\Lambda^{S}_{S\_DEU,GH2,y}$$10$$10$$10$$10$
$\Omega^{S}_{S\_DEU,CNG,y}$$10$$10$$10$$10$
$\Omega^{S}_{S\_DEU,GH2,y}$$10$$10$$10$$10$
$L^{S}_{CNG}$$10$$10$$10$$10$
$L^{S}_{GH2}$$10$$10$$10$$10$
$c^{I_{l}}_{P\_DEU,Natural Gas,Block 1,m,y}$$0.5$$1$$0.5$$1$
$c^{I_{q}}_{P\_DEU,Natural Gas,Block 1,m,y}$$0$$0$$0$$0$
$av^{I}_{P\_DEU,Natural Gas,Block 1,m}$$1$$1$$1$$1$
$\alpha^{D}_{DEU,CNG,Block 1,m,y}$$0$$2$$0$$0$
$\beta^{D}_{DEU,CNG,Block 1,m,y}$$0$$-1$$0$$0$
$\alpha^{D}_{DEU,GH2,Block 1,m,y}$$0$$0$$0$$2$
$\beta^{D}_{DEU,GH2,Block 1,m,y}$$0$$0$$0$$-1$

Test Criteria

ExpressionResult y=2020 m=LResult y=2020 m=HResult y=2021 m=LResult y=2021 m=H
$\tilde{P}^{T \rightarrow D}_{DEU,CNG,Block 1,m,y}$$0.0$$1.0$$0.0$$0.0$
$\tilde{P}^{T \rightarrow D}_{DEU,CNG,Block 1,m,y}$$0.0$$0.0$$0.0$$1.0$
$q^{I}_{P\_DEU,Natural Gas,Block 1,m,y}$$0.5$$0.0$$0.5$$0.0$

Graphical Solution

Illustration for Different Years, Commodities and Time Steps

Time Step L for CNG in 2020

test_case_22a_graphic

Time Step H for CNG in 2020

test_case_22b_graphic

Time Step L for CNG in 2021

test_case_22c_graphic

Time Step H for CNG in 2021

test_case_22d_graphic

Time Step L for GH2 in 2020

test_case_22e_graphic

Time Step H for GH2 in 2020

test_case_22f_graphic

Time Step L for GH2 in 2021

test_case_22g_graphic

Time Step H for GH2 in 2021

test_case_22h_graphic