| Variable | Explanation |
|---|
| $\pi^{P}_{ncomy}$ | Price for commodity $c$ of origin $o$ in time step $s$ of year $y$ in node $n$. |
| $\pi^{T \rightarrow D}_{ncbmy}$ | Demand block $b$'s price for commodity $c$ during time step $m$ of year $y$ in node $n$. |
| $\pi^{T \rightarrow V}_{tncomy}$ | Price paid by converter for commodity $c$ of origin $o$ during time step $m$ of year $y$ in node $n$. |
| $\pi^{V \rightarrow T}_{tncomy}$ | Price paid to converter for commodity $c$ of origin $o$ during time step $m$ of year $y$ in node $n$. |
| $\pi^{T \rightarrow S}_{tncomy}$ | Price paid by storage system operator for commodity $c$ from origin $o$ during time step $m$ of year $y$ in node $n$. |
| $\pi^{S \rightarrow T}_{tncomy}$ | Price paid to storage system operator for commodity $c$ from origin $o$ during time step $m$ of year $y$ in node $n$. |
| $\pi^{A}_{acmy}$ | Price paid for transporting commodity $c$ along arc $a$ in time step $m$ of year $y$. |
| $\phi^{P}_{pisy}$ | Dual to producer $p$'s mass balance constraint. |
| $\phi^{T}_{tncosy}$ | Dual to trader $t$'s flow mass balance constraint. |
| $\phi^{S}_{stcomy}$ | Dual to storage system operator $s$'s mass balance constraint. |
| $\Lambda^{I}_{piby}$ | Dual to producer $p$'s input block constraint. |
| $\lambda^{P}_{pcosy}$ | Dual to producer $p$'s production capacity constraint. |
| $\lambda^{T}_{tndoy}$ | Dual to trader $t$'s sales restriction constraint. |
| $\omega^{I}_{piby}$ | Dual to producer $p$'s input procurement capacity constraint. |
| $\omega^{P}_{pcoy}$ | Dual to producer $p$'s production capacity expansion constraint. |
| $\omega^{S}_{scy}$ | Dual to storage system operator $s$'s capacity expansion constraint. |
| $\lambda^{V}_{vcc'sy}$ | Dual to converter $v$'s converstion capacity constraint. |
| $\lambda^{A}_{acsy}$ | Dual to storage system operator's capacity constraint. |
| $\lambda^{S}_{scmy}$ | Dual to storage system operator's capacity constraint. |
| $\delta^{A}_{acy}$ | Dual to storage system operator's equal capacity expansion constraint. |
| $\delta^{RA}_{arcy}$ | Dual to storage system operator's equal capacity repurposing constraint. |