## 5 Conclusions
\begin{tabular}{l l} \(a_{g,d}^{totu}\) & Time-of-use tariff for ES \\ \(b_{V}^{ES}\) & Binary variables to limit the site selection of the ES \\ \(b_{VTT}^{WT}\) & Binary variables to limit the site selection of the WT \\ \(C_{i,l}^{i,CS}\) & Carbon subsidy of the wind turbine and energy storage at bus \(i\) at time \(t\) \\ \(c\) & Size parameter of the Weibull distribution \\ \(c_{g}\) & Cost coefficient of the power generator \\ \(c_{V}^{utt}\) & Annual maintenance cost coefficient of ES \\ \(c_{ES}^{ES}\) & Investment cost coefficient of PE unit capacity of the ES \\ \(c_{E}^{ES}\) & Investment cost coefficient of per unit power of the ES \\ \(c_{p}^{ET}\) & Investment cost coefficient of per unit power of the ES \\ \(c_{t}^{mt}\) & Maintenance cost coefficient of ES \\ \(c_{t}^{WT}\) & Investment cost coefficient of WT \\ \(d_{r}\) & Discount rate \\ \(k\) & Shape parameter of the Weibull distribution \\ \(\mathbf{E}\) & Identity matrix \\ \(E_{t}^{ES}\) & State of charge of the energy storage at time \(t\) at bus \(i\) \\ \(E_{FS}^{ES}\) & Rated capacity of the ES \\ \(E_{N,max}^{NS}\) & Maximum value of the ES capacity configuration \\ \(e_{t}^{U}\) & Carbon intensity of bus \(i\) \\ \(e_{t,history}^{U}\) & Historical carbon intensity at bus \(i\) \\ \(e_{ES}^{i}\) & Carbon intensity of the injection power from the energy storage \\ \(e_{t}^{U}\) & Carbon intensity of the injection power from the power generators \\ \(i_{r}\) & Inflation rate \\ \(N\) & Number of obtained scenarios \\ \(N_{S}\) & Number of scenarios after reduction \\ \(N_{G}\) & Total amount of generators \\ \(N_{Y}\) & Service life of the ES \\ \(P_{N}^{ES}\) & Rated power of the ES \\ \(P_{max}^{WT}\) & Maximum output power of the wind turbine \\ \(P_{N}^{WT}\) & Rated capacities of WT \\ \(P_{N,max}^{WT}\) & Maximum value of the WT capacity configuration \\ \(P_{ut,r}\) & Rated output power of the wind turbine \\ \(p_{dis}^{ch}\) & Charge power of the energy storage at bus \(i\) \\ \(p_{i}^{B}\) & Discharge power of the energy storage at the bus \(i\) \\ \(p_{i}^{G}\) & Power flux of bus \(i\) \\ \(P_{i}^{G,max}/P_{i}^{G,min}\) & Actual power output of the power generator at bus \(i\) \\ \(P_{i}^{G,max}/P_{i}^{G,min}\) & Maximum and minimum output of power generators in scenario \(s\) \\ \(p_{i}\) & Actual power load \\ \(\Delta P^{L}\) & Random load deviation \\ \(P_{ij}\) & Power flow of branch \(j-i\) \\ \(P_{ij}^{max}/P_{ij}^{min}\) & Maximum and minimum transmission power of branch \(i-j\) \\ \(P_{0g_{s}}\) & Probability of scenario \(s\) \\ \(P_{0g^{stetained}}\) & Probability of retained scenarios \\ \(R_{i}^{B}\) & Carbon emission flow flux of bus \(i\) \\ \(R_{i}^{G}\) & Carbon emission flow of the power generator and discharge power of the energy \\ \(R_{i}^{WT}\) & Storage at bus \(i\) \\ \(R_{i}^{WT}\) & Power generation revenue of the WT \\ \(R_{s}^{ES}\) & Peak-valley arbitrage revenue of the ES \\ \(T\) & Planning period \\ \(\Delta t\) & Time step \\ \(v\) & Actual wind speed \\ \(v_{c\dot{d}}/v_{co}\) & Cut-in and cut-out wind speed \\ \(v_{r}\) & Rated wind speed \\ \(x_{ij}\) & Branch reactance \\ \(\xi_{p}\) & Stochastic fuzzy model variable of wind speed \\ \(\xi_{k}\) & Fuzzy variable of \(k\) \\ \(\xi_{c}\) & Fuzzy variable of \(c\) \\ \end{tabular}