## Nomenclature
\begin{tabular}{l l} \(C_{\text{DG},t}\) & DG costs \\ \(C_{\text{ESS},t}\) & storage battery operation cost \\ \(C_{\text{SW},t}\) & network reconfiguration cost \\ \(C_{comp,t}\) & compensation cost \\ \(T\), \(\Delta t\) & scheduling cycle and interval time \\ \(P_{grid,t}\), \(P_{\text{DG},t,t}\) & electricity purchased from power grid and DGs \\ \(c_{grid,t}\), \(c_{\text{DG},i}\) & unit electricity price from power grid and DGs at time \(t\) \\ \(N_{\text{DG}}\) & number of DGs \\ \(F_{\text{DG},t}\),\(M_{\text{DG},t}\),\(D_{\text{DG},t}\) & fuel cost, operation maintenance cost, and depreciation cost \\ \(c_{\text{DG}}\), \(P_{\text{DG},t}\), \(\eta_{\text{DG},t}\) & unit fuel cost, active power of MT, and MT operation efficiency \\ \(m_{0}\), \(m_{1}\), \(m_{2}\), \(m_{3}\) & characteristic parameters related to efficiency and per-unit active power \\ \(K_{DG}\) & operation maintenance cost coefficient \\ \(c_{\text{DG},\text{in}}\) & installation cost of unit capacity \\ \(k_{DG}\) & capacity factor \\ \(r\) & annual interest rate \\ \(n_{\text{DG}}\) & investment repayment period \\ \(P_{\text{ESS},t}\) & charge and discharge power \\ \(c_{\text{ESS}}\) & coefficient of cost function of unit power \\ \(c_{\text{sw}}\) & cost of switch operation once \\ \(sw_{t}\) & switch state at time \(t\) \\ \(c_{\text{IL},i}\) & incentive price \\ \(P_{\text{IL},i}\) & active power of interruptible loads \\ \(P_{PV,t}\), \(P_{WT,t}\), \(P_{MT,t}\) & total output power of WTs, PV cells, and MTs at time \(t\) \\ \(N_{\text{IL}}\) & number of responsive loads \\ \(T_{il,n}\) & reduction time of \(n\)th interruptible load \\ \(T_{ll,n}\) & total electricity consumption time of \(n\)th interruptible load \\ \(P_{i,t}\), \(Q_{i,t}\) & injected active and reactive power at time \(t\) of bus \(i\) \\ \(U_{i,t}\), \(U_{j,t}\) & voltage amplitude at time \(t\) of buses \(i\) and \(j\) \\ \(G_{ij}\), \(B_{ij}\) & conductance and susceptance of lines between buses \(i\) and \(j\) \\ \(\theta_{ij,t}\) & phase difference between buses \(i\) and \(j\) \\ \(l_{i,t}\) & actual current amplitude of branch \(i\) at time \(t\) \\ \(l_{i,\text{min}}\), \(l_{i,\text{max}}\) & lower and upper limits of current amplitude of branch \\ \(V_{i}\) & voltage amplitude of node \(i\) \\ \(V_{i,\text{min}}\), \(V_{i,\text{max}}\) & lower and upper limits of voltage amplitude of node \\ \(\gamma_{U}\), \(\gamma_{I}\) & confidence level \\ \(N_{ls}\), \(N_{br}\), \(N_{bus}\), \(N_{s}\) & number of tie switches, branches, nodes, and power source \\ \(sw_{\text{max}}\) & maximum permissible operating time for switches \\ \(P_{\text{DG},i,\text{min}}\), \(P_{\text{DG},i,\text{max}}\) & lower and upper limits of generation power of DGs \\ \(S_{\text{SOC},t}\) & state of charge in \(t\) period \\ \(P_{\text{ESS},t}\) & battery interaction power in \(t\) period \\ \(S_{\text{ESS}}\) & battery capacity \\ \(S_{\text{SOC},i,\text{max}}\) & upper and lower limits of the state of charge \\ \(S_{\text{SOC},i,\text{min}}\) & upper and lower limits of battery interaction power \\ \(\eta_{\text{ESS},t}\) & charging and discharging efficiency in \(t\) period \\ \(p_{i,t}\) & compensation price \\ \(\lambda_{\text{max}}\) & upper limit of load reduction rate \\ \(P_{t}\), \(Q_{t}\), \(R_{t}\) & current population, offspring population, and new population \\ \(S_{t}\) & new population containing the solution of each nondomination level \\ \(FL\) & solution in level \(L\) \\ \(H\) & number of divisions along each objective axis \\ \end{tabular}