## Nomenclature  
### Parameters  
\(SOC_{0}\)Initial ESS SOC (kWh)  
\(SOC_{24}\)Final ESS SOC (kWh)  
\(SOC_{\max}\)Upper band of ESS SOC (kWh)  
\(SOC_{\min}\)Lower band of ESS SOC (kWh)  
\(punit\)\(charge\)Lower band of ESS charge (kWh)  
\(punit\)\(discharge\)Lower band of ESS discharge (kWh)  
\(punit\)\(discharge\)Upper band of ESS discharge (kWh)  
\(\eta_{charge}\)Charge coefficient of ESS (%)  
\(\eta_{discharge}\)Charge coefficient of ESS (%)  
\(N_{pp}\)Number installed PV modules  
\(Ap\)Area of the module (m\({}^{2}\))  
\(R_{\mathrm{SB}}\)Replacement cost of SB ($)  
\(L_{\mathrm{SB}}\)Lifetime of the SB (year)  
\(E_{\mathrm{SB}}\)Square root of both ways of efficiency of the SB (%)  
\(R_{\mathrm{PHEV}}\)Replacement cost of PHEV ($)  
\(L_{\mathrm{PHEV}}\)Lifetime of the PHEV (year)  
Square root of both ways of efficiency of the PHEV (%)  
\(B_{\mathrm{SB}}\)SBBepreciation cost coefficient per kWh  
\(B_{\mathrm{PHEV}}\)PHEV depreciation cost coefficient per kWh  
\(\eta_{brand}\)Rated efficiency of PV measured at referenced temperature (25 \({}^{\circ}\)C)  
\(NOCT\)Normal cell operation temperature (\({}^{\circ}\)C)  
\(T_{ref}\)Reference temperature (25 \({}^{\circ}\)C)  
\(\alpha\)Temperature coefficient for cell efficiency (0.004/\({}^{\circ}\)C)  
\(V_{c}\)Cut-out speed (m/s)  
\(V_{ci}\)Cut-in speed (m/s)  
\begin{tabular}{l l} \(V_{r}\) & Wind speed at rated power (m/s) \\ \(P^{\text{s}}_{\text{max}}\) & Upper bound of import power from grid (kWh) \\ \(P^{\text{s}}_{\text{min}}\) & Power export limit to grid (kWh) \\ _Variables_ & \\ \(\eta^{PV}_{t}\) & Efficiency of PV module (\%) \\ \(G_{t}\) & Hourly solar irradiance (kW\(\times\)m\({}^{-2}\)) \\ \(T_{t}\) & Hourly ambient temperature (\({}^{\circ}\)C) \\ \(V^{wind}_{t}\) & Hourly wind speed (V) \\ \(K_{t}\) & Hourly electricity price (\$) \\ \(P^{charge}_{t}\) & Charge power of ESS (kWh) \\ \(P^{discharge}_{t}\) & Discharge power of ESS (kWh) \\ \(P^{s}_{t}\) & Power flow from or to grid (kWh) \\ \(P^{DV}_{t}\) & Output power of PV (kWh) \\ \(P^{UV}_{t}\) & Output power of WT (kWh) \\ \(P^{outract}_{t}\) & Contracted power (kWh) \\ \(P^{load}_{t}\) & Prosumer load profile (kWh) \\ \(\text{SOC}^{\text{min},SB}_{d}\) & Minimum SB SOC at the end of the day (kWh) \\ \(\text{SOC}^{\text{min},PHEV}_{d}\) & Minimum SOC of PHEV at the end of the day (kWh) \\ \(\text{SOC}_{t}\) & SOC in each hour (kWh) \\ \(D^{ESS}_{d}\) & Total EES depreciation cost (\$) \\ \(D^{ss}_{d}\) & SB depreciation cost (\$) \\ \(D^{muv}_{d}\) & PHEV depreciation cost (\$) \\ \(x\) & Original data value \\ \(y\) & Normalized data value \\ \(x_{\text{min}},x_{\text{max}}\) & Minimum and maximum value of \(x\) \\ \(y_{\text{min}},y_{\text{max}}\) & [0,1] \\ \(U^{charge}_{t}\) & ESS charge binary variable \\ \(U^{discharge}_{t}\) & ESS discharge binary variable \\ _Indices_ & \\ \(t\) & Index of time \\ \(d\) & Index of day \\ _Abbreviations_ & \\ RES & Renewable Energy Source \\ SB & Stationary Battery \\ EV & Electric Vehicle \\ FEV & Fully Electric Vehicle \\ FCEV & Fuel Cell Electric Vehicle \\ PHEV & Plug-in Hybrid Electrical Vehicle \\ ESS & Energy Storage System \\ PV & Photovoltaic \\ WT & Wind Turbine \\ PCU & Power Conversion Unit \\ EMS & Energy Management System \\ ANN & Artificial Neural Network \\ FF & Feedforward \\ MLP & Multilayer Perceptron \\ DOD & Depth of Charge \\ SOC & State of Charge \\ MILP & Mixed-Integer Linear Programming \\ BP & Back Propagation \\ TOU & Time of Use \\ DR & Demand Response \\ DSO & Distribution System Operator \\ \end{tabular}