## Nomenclature  
\begin{tabular}{l l} _NWT/NDG_ & total number of WTs/DGs \\ _Nh_ & total number of hours \\ _NBus_ & number of buses \\ \(L\) & set of buses which has DER or Sh.C \\ \(P_{DG,i}^{h}/P_{WT,i}^{h}/P_{Disco}^{h}\) & generated active power by the _i_th DG/_i_th WT/Disco at the _h_th hour \\ \(\pi_{DG,i}^{h}/\pi_{WT,i}^{h}/\pi_{Disco}^{h}\) & price of the electrical energy generated by the _i_th DG/_i_th WT/Disco for the _h_th hour \\ \(CO_{2,Disco}\) & CO\({}_{2}\) emissions related to Disco (ton/MW) \\ \(CO_{2,DG,i}/CO_{2,WT,i}\) & CO\({}_{2}\) emissions from the _i_th DG/_i_th WT (ton/MW) \\ \(CO_{2,cap}\) & allowable CO\({}_{2}\) emissions (ton/MW) \\ \(EPC_{CO2}\) & CO\({}_{2}\) emissions penalty cost ($/ton) \\ \(MCP^{h}\) & market clearing price at the _h_th hour \\ \(PBid_{Disco}^{h}/PBId_{DG,i}^{h}\) & maximum generation bid quantity offered by Disco/_i_th DG/_i_th WT at the _h_th hour \\ \(/PBId_{WT,i}^{h}\) & _h_th hour \\ \(P_{WT}^{rated}\) & rated active power of WT \\ \(Tap^{h}\) & tap position of OLTC at _h_th hour \\ \(CStep_{i}^{h}\) & step position of _i_th Sh.C at _h_th hour \\ \(D_{Tap}\) & depreciation cost for each step change of OLTC \\ \(D_{S}\) & depreciation cost for each switching operation of Sh.C \\ \(Tap_{min}(Tap_{max})\) & minimum (maximum) tap position of OLTC \\ \(CStep_{i}^{min}(CStep_{i}^{max})\) & minimum (maximum) step of _i_th Sh.C \\ \(N_{OLTC}^{max}\) & maximum permissible daily number of operations of OLTC \\ \end{tabular}  
\begin{tabular}{l l l} \(N_{Sh.C,i}^{max}\) & maximum permissible daily number of switching operations of \(i\)th Sh.C \\ \(P_{G,i}^{h}(P_{p,i}^{h})\) & generated (consumed) active power at bus \(i\) at hour \(h\) \\ \(Q_{G,i}^{h}(Q_{p,i}^{h})\) & generated (consumed) reactive power at bus \(i\) at hour \(h\) \\ \(V_{t}^{h}\) & voltage of bus \(i\) at hour \(h\) \\ \(\Delta P_{Disco}^{L,h}/\)\(\Delta P_{DG,i}^{L,h}\) & amount of increasing generation corresponding to the contribution of \\ \(/\Delta P_{WT,i}^{L,h}\) & Disco/\(i\)th DG/\(i\)th WT to balance losses at \(h\)th hour \\ \(P_{Disco}^{ini,h}/\)\(P_{DG,i}^{ini,h}/\)\(P_{WT,i}^{ini,h}\) & initially active power of Disco/\(i\)th DG/\(i\)th WT scheduled by the Market \\ \(\Delta P_{Disco}^{Adj,h}/\)\(\Delta P_{DG,i}^{Adj,h}\) & amount of generation adjustment of Disco/\(i\)th DG/\(i\)th WT at \(h\)th hour due \\ \(/\Delta P_{WT,i}^{Adj,h}\) & to enforcement of operation constraints \\ \(x_{Disco}^{max}/x_{DG,i}^{max}/x_{WT,i}^{max}\) & maximum change regarding the initial active power admitted by Disco/\(i\)th DG/\(i\)th WT \\ \(\rho_{Adj_{Disco}}^{h}/\rho_{Adj_{DG,i}}^{h}\) & adjustment price offered by Disco/\(i\)th DG/\(i\)th WT at \(h\)th hour \\ \(Q_{Disco}^{h}/Q_{DG,i}^{h}/Q_{WT,i}^{h}\) & generated reactive power by Disco/\(i\)th DG/\(i\)th WT at \(h\)th hour \\ \(W_{k,DG_{i}}^{h}/W_{k,WT_{i}}^{h}\) & binary variable corresponding to the cost of reactive power of \(i\)th DG/\(i\)th WT at \(h\)th hour \\ \(I_{c}\)\((V_{c})\) & converter's current (voltage) of WT \\ \(V_{g}\) & voltage at the grid connection point for WT \\ \(CLC\) & cost of losses component \\ \(LOC\) & lost opportunity cost \\ \(\lambda_{t}^{h}/\)\(\mu^{h}\) & dual variable of \(CStep_{t}^{h}/\)\(Tap^{h}\) \\ \(\gamma_{k,DG_{i}}^{h}\), \(\gamma_{k,WT_{i}}^{h}\) & dual variables of \(W_{k,DG_{i}}^{h}\) and \(W_{k,WT_{t}}^{h}\) defined previously by the master \\  & problem, respectively \\ \end{tabular}