## 5 Conclusions
### Nomenclature  
The following nomenclature are used in this manuscript:  
\begin{tabular}{l l} Acronyms and Initialisms \\ \(MG\) & Microgrid \\ \(ELS\) & Expected Load Shedding \\ \(ECLS\) & Expected Cost of Load Shedding \\ \(MILP\) & Mixed Integer Linear Program \\ \(BESS\) & Battery Energy-Storage Systems \\ STO & Predicted Start Time of Outages \\ \(T_{s}\) & Survival Times \\ \(ESS\) & Energy Storage System \\ \(PCS\) & Power Conversion System \\ \(CG\) & Controllable Generator \\ \(PDF\) & Probability Density Function \\ \(CDF\) & Cumulative Density Function \\ Indices & \\ \(t\) & Index of time intervals, running from 1 to \(T\). \\ \(l\) & Index of \(STO\), running from 1 to \(L\). \\ \(ts_{l}\) & Index of survival time intervals, running from \(STO_{l}\) to \(STO_{l}+Ts\). \\ \(g\) & Index of controllable generators, running from 1 to \(G\). \\ Parameters & \\ \(DoD\) & Depth of the discharge. \\ \(p_{g}^{min}\), \(p_{g}^{max}\) & Minimum/Maximum output of \(CG_{g}\). \\ \(TO_{g}\), \(TS_{g}\) & Minimum operating/stop time of \(CG_{g}\). \\ \(C_{g}^{Geh}\) & Generation cost of \(CG_{g}\). \\ \(C_{g}^{SU}\), \(C_{g}^{SD}\) & Start up/Shut down cost of \(CG_{g}\) \\ \(R_{g}^{LUmax}\), \(R_{g}^{Dmax}\) & Maximum ramping up/down rate of \(CG_{g}\). \\ \(Bat_{c}\) & Battery capacity. \\ \(PCS_{c}\) & PCS capacity. \\ \(P_{g}^{sub}\) & Capacity of substation. \\ \(TCM\), \(TDM\) & Minimum charging/discharging time of the battery. \\ \(\eta\) & Charging and discharging efficiencies of the battery. \\ \(P_{l}^{WT}\), \(P_{l}^{WT}\) & Wind power forecast at \(t\) and \(ts_{l}\). \\ \(P_{l}^{PV}\), \(P_{l}^{WT}\) & PV generation forecast at \(t\) and \(ts_{l}\). \\ \(P_{l}^{LA}\), \(P_{l}^{LB}\) & Demand forecast of Load A/Load B at \(t\). \\ \(P_{l}^{LA}\), \(P_{l}^{LB}\) & Demand forecast of Load A/Load B at \(ts_{l}\). \\ \(P_{l}^{Bell}\), \(P_{l}^{Buy}\) & Electricity selling/buying price to/from main grid at \(t\). \\ \(C^{LSA}\), \(C^{LSB}\) & Load shedding cost for Load A/Load B Shedding. \\ \(STO_{l}\) & \(l\)th predicted start time of outage \(t\). \\ Binary variables \\ \(u_{g,t}^{NM}\) & Commitment status identifier of \(CG_{g}\) at \(t\) in normal mode. \\ \(y_{g,t}^{NM}\) & Startup identifier of \(CG_{g}\) at \(t\) in normal mode. \\ \(S_{l}^{NM}\) & Shutdown identifier of \(CG_{g}\) at \(t\) in normal mode. \\ \(u_{cht}\), \(u_{td}^{NM}\) & Identifier of charging/discharging state at \(t\) in normal mode. \\ \(u_{g,ts_{l}}^{SR}\) & Commitment status identifier of \(CG_{g}\) at \(ts_{l}\) in \(STOI\). \\ \(y_{g,ts_{l}}^{SR}\) & Startup identifier of \(CG_{g}\) at \(ts_{l}\) in \(STOI_{l}\). \\ \(z_{g,ts_{l}}^{SR}\) & Shutdown identifier of \(CG_{g}\) at \(ts_{l}\) in \(STOI_{l}\). \\ Continuous variables \\ \(p_{l}^{NM}\) & Power generation from \(CG_{g}\) at \(t\) in normal mode. \\ \(P_{l}^{Buy.NM}\), \(r_{l}^{Bell.NM}\) & Power bought/sold from/to utility grid at \(t\) in normal mode. \\ \(P_{l}^{ch.NM}\), \(p_{l}^{ch.NM}\) & Power charged/discharged to/from the battery at \(t\) in the normal mode. \\ \(SoC^{NM}\) & State of charge of the battery at \(t\) in the normal mode. \\ \(P_{l}^{L.NM}\), \(P_{l}^{B.NM}\) & Power transferred to Load A/Load B at \(t\) in the normal mode. \\ \(P_{l}^{LSA.NM}\), \(P_{l}^{LS.NM}\) & Amount of Load A/Load B shedding at \(t\) in the normal mode. \\ \end{tabular}