## 6 Conclusions
\begin{tabular}{l l} \(\eta_{\mathrm{MT}},\,\eta_{\mathrm{L}}\) & Efficiency and heat loss rate of MT \\ \(C_{\mathrm{O}},\,\eta_{\mathrm{r}}\) & Heating coefficient and smoke recovery rate of BC \\ \(\eta_{\mathrm{GB}}\) & Efficiency of GB \\ \(C_{\mathrm{inv}}\) & Daily average allocation cost over the life cycle \\ \end{tabular} \begin{tabular}{l l} \(C_{\text{buy}}(t)\) & Purchase cost including interaction cost, \(C_{\text{CO}_{2}}\) material costs \\ \(C_{\text{st}}(t)\) & Start-stop cost \\ \(C_{\text{mt}}(t)\) & Maintenance cost \\ \(C_{\text{cut}}(t)\) & Abandonment cost \\ \(C_{\text{e}}\), \(C_{\text{g}}\) & Electricity and natural gas prices, respectively \\ \(\varepsilon\) & CO\({}_{2}\) coefficient required to generate unit natural gas \\ \(C_{\text{CO}_{2}}\) & CO\({}_{2}\) price \\ \(C_{\text{st,EB}}\), \(C_{\text{st,MT}}\) & EB, MT start-up costs, respectively \\ \(C_{\text{st,GB}}\) & GB start-up costs \\ \(U_{\text{EB}}(t)\), \(U_{\text{MT}}(t)\) & EB, MT start and stop status at time \(t\) respectively \\ \(U_{\text{GB}}(t)\) & GB start and stop status at time \(t\) \\ \(C_{\text{MT}}\), \(C_{\text{PV}}\) & Unit power maintenance cost of MT, PV, respectively \\ \(C_{\text{WT}}\), \(C_{\text{GB}}\) & Unit power maintenance cost of WT, GB, respectively \\ \(C_{\text{EB}}\), \(C_{\text{P2G}}\) & Unit power maintenance cost of EB, P2G, respectively \\ \(C_{\text{S}}^{i}\) & Unit power maintenance cost of energy storage systems \\ \(C_{\text{cut}}\) & Unit abandonment cost of PV and WT \\ \(P_{\text{MT}}(t)\) & Output power of MT \\ \(P_{\text{GB}}(t)\) & Output power of GB \\ \(p_{\text{emax}}^{\text{net}}\), \(p_{\text{emin}}^{\text{net}}\) & Upper and lower limits of the interaction power between the RIES and the distribution \\ \(p_{\text{gmax}}^{\text{net}}\), \(p_{\text{gmin}}^{\text{net}}\) & Upper and lower limits of the interaction power between the RIES and the natural gas \\ \(P_{\text{MTmax}}\) & Upper limits of MT power \\ \(P_{\text{GBmax}}\) & Upper limits of GB power \\ \(P_{\text{EBmax}}\) & Upper limits of EB power \\ \(P_{\text{P2 Gmax}}\) & Upper limits of P2G power \\ \(P_{\text{MTmin}}\) & Lower limits of MT power \\ \(P_{\text{GBmin}}\) & Lower limits of GB power \\ \(P_{\text{EBmin}}\) & Lower limits of EB power \\ \(P_{\text{P2 Gmin}}\) & Lower limits of P2G power \\ \(\Delta P_{\text{MT,up}}\) & Up climbing rate of the MT \\ \(\Delta P_{\text{GB,up}}\) & Up climbing rate of the GB \\ \(\Delta P_{\text{EB,up}}\) & Up climbing rate of the EB \\ \(\Delta P_{\text{MT,down}}\) & Down climbing rate of the MT \\ \(\Delta P_{\text{GB,down}}\) & Down climbing rate of the GB \\ \(\Delta P_{\text{GB,down}}\) & Down climbing rate of the EB \\ \(E_{\text{smax}}^{i}\), \(E_{\text{smin}}^{i}\) & Upper and lower limits of energy storage installation capacity \\ \(p_{\text{smax}}^{i}\), \(p_{\text{smin}}^{i}\) & Upper and lower limits of energy storage installation power \\ \(\varepsilon_{\text{max}}^{\text{e}}\), \(\varepsilon_{\text{min}}^{\text{e}}\) & Upper and lower limits of the electric storage equipment remaining energy \\ \(\varepsilon_{\text{max}}^{\text{h}}\), \(\varepsilon_{\text{min}}^{\text{h}}\) & Upper and lower limits of the thermal storage equipment remaining energy \\ \(\varepsilon_{\text{max}}^{\text{g}}\), \(\varepsilon_{\text{min}}^{\text{g}}\) & Upper and lower limits of the gas storage equipment remaining energy \\ \(E_{\text{g}}^{i}\), \(E_{\text{g}}^{i}\), \(P_{\text{g}}^{i}\) & Rated capacity and rated power of electric, heat and gas energy storage equipment \\ \(p_{\text{smin}}^{i}\) & Lower limits of charging and discharging power \\ \(u_{\text{ch}}^{i}(t)u_{dis}^{i}(t)\) & 0-1 variable that represents the operative mode of storage equipment at time \(t\) \\ \(\beta_{\text{n}}\) & Lowest abandonment rate that can be accepted by the RIES \\ \(x_{i}\) & Parameter \(i\) in \(X\) \\ \(m_{i}\) & Sensitivity of the objective function \(f\) to \(x_{i}\) \\ \end{tabular}