## Glossary
\begin{tabular}{l l} \(k_{p}\) & Factory parameters of each battery \\ \(N_{0}\) & Factory parameters of each battery \\ \(D_{\text{dod},t-1}\) & Discharge depth during the \(t-1\) period \\ \(D_{\text{dod},t-1}^{\text{cyc}}\) & Cycle discharge depth in period t \\ \(X_{\text{SOC},t}\) & A 0-1 integer variable \\ \(X_{\text{bat},t}\) & A 0-1 integer variable as the number of batteries \\ \(n_{\text{eq},t}\) & Equivalent full cycles of the battery during period t \\ \(N_{\text{eq}}\) & Daily equivalent full cycles of the battery \\ \(C^{\text{inv}}\) & Total initial investment cost of the microgrid \\ \(C_{\text{open}}\) & Operation and maintenance costs of the microgrid equipment \\ \(F_{\text{bat}}^{\text{max}}\) & Maximum battery capacity of the energy storage device \\ \(P_{i}^{\text{max}}\) & Investment cost of the maximum technical output of the i-th power equipment \\ \(c_{i}\) & Investment cost per unit power of the i-th power equipment \\ \(F_{\text{CREE}}(r_{i},Y_{i})\) & Annual fund recovery rate \\ \(r_{i}\) & The discount rate of the i-th electric power equipment \\ \(Y_{i}\) & The discounted years of the i-th electric power equipment \\ \(C_{\text{G}}^{\text{open}}\) & Operating costs of a micro-gas turbine \\ \(C_{\text{grid}}\) & Microgrid electricity purchase and sale costs \\ \(C_{\text{op}}\) & Maintenance costs of the equipment \\ \(c_{\text{fuel},t}\) & Fuel costs during the time period \\ \(P_{G,t}\) & Real-time output of the micro-gas turbine in the t period \\ \(k_{n,t}\) & The n th pollutant discharge of the micro-gas turbine in period t \\ \(c_{n,t}\) & Unit price of n pollutant treatment of micro-gas turbine in t \\ \(c_{\text{buy},t}\) & Unit price of electricity purchased during period t \\ \(c_{\text{cell},t}\) & Unit price of electricity sold in the t period \\ \(P_{\text{M},t}^{\text{pwl}}\) & The power purchased by the microgrid buys from the distribution network during period t \\ \(P_{\text{M},t}^{\text{pell}}\) & The power that the microgrid sells to the distribution network during period t \\ \(C_{\text{op}}^{i}\) & Maintenance cost unit price of the energy storage device, wind turbine, distributed photovoltaic power \\  & station, and micro combustion unit \\  & Output of energy storage device, wind turbine, distributed photovoltaic power station, and micro \\ \(P_{i,t}\) & combustion unit in the t period \\ \(p_{\text{min}}^{\text{min}}\) & Minimum technical output of a micro-gas turbine \\ \(r_{\text{G}}\) & Maximum charge and discharge power of energy storage \\ \(r_{\text{dis}}\) & Ratio of the maximum battery capacity \\ \(SOC^{\text{min}}\) & Lower limit of the battery charge state \\ \(SOC^{\text{max}}\) & Upper limit of the battery charge state \\ \(SOC_{\text{beg}}\) & Initial charge state of the scheduling cycle T battery \\ \(SOC_{\text{end}}\) & Final charge state of the T battery during the scheduling cycle \\ \(P_{\text{M}}^{\text{buy},\text{max}}\) & The upper limit of the power that the microgrid buys from the distribution network \\ \(P_{\text{M}}^{\text{pell},\text{max}}\) & The upper limit of the power that the microgrid sells to the distribution network \\ \(X_{\text{M},t}\) & A 0-1 integer variable \\ \(Y=(Y_{1},Y_{2},\dots,Y_{4})\) & The a new energy robustness index constitutes the index sequence \\ \(X=(X_{1},X_{2},\dots,X_{b})\) & The index sequence of the dispatching and operation cost composition of the b microgrid \\ \(n\) & Represents the number of economic cost data groups generated after changing the robust coefficient \\ \(\Delta\) & Differential matrix \\ \(\Delta_{\text{\#b}}\) & The difference between the robustness index in group a and the economic characteristic index in group b \\ \(\Delta_{\text{max}}\) & The maximum value of the difference matrix \\ \(\Delta_{\text{min}}\) & Minimum value of the difference matrix \\  & The association coefficient of the robustness index of group a and the economic characteristic index of \\ \(\lambda_{\text{\#b}}(n)\) & group b in row n \\ \(\rho\) & Resolution coefficient, a number between 0-1 \\ \(r_{\text{\#b}}\) & A group of grey correlation of robustness indicators and the economic characteristic index of group b \\ \(x_{\text{max}}\) & The maximum value of the \(X_{\text{\#b}}\) \\ \(x_{\text{min}}\) & The minimum value of the \(X_{\text{\#b}}\) \\ \end{tabular}