## 6 Conclusions  
In this paper, MILP-based scheduling methods for the portfolio management of DER in South Korea are presented, considering the REC, incentives after energy discharge and conformity of the reliability constraints, and influences in the revenue streams. Currently, AOs participating in the REC market as DER are required to perform DA scheduling for participation with hourly granularity. Thus far, AOs have been scheduling their resources in fixed intervals without considering controlling the BESSs during other time windows ineligible for multipliers, causing fire issues from undesirable operation that have been considered to be one of the major barriers to developing the REC market in South Korea. Thus, constraints on the output at the PCC, time and management of the SoC have been imposed since the year 2020 by the reliability commission. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Resource** & \multicolumn{2}{c}{**PV–BESS**} & \multicolumn{2}{c}{**WPG–BESS**} \\ \hline
**Operation** & **Discharging** & **Charging** & **Discharging** & **Charging** \\ \hline Base Case & 0.1299 & \(-0.0408\) & 0.0 & 0.0 \\ \hline Case 1 & 0.2510 & \(-0.2973\) & 0.4919 & \(-0.3863\) \\ \hline Case 2 & 0.2510 & \(-0.2267\) & 0.4919 & \(-0.3863\) \\ \hline Case 3 & 2.2510 & \(-0.2267\) & 0.4919 & \(-0.3863\) \\ \hline \hline \end{tabular}
\end{table} 
Table 16: Correlation between SMP and operations of the BESS. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Resource** & **Base Case** & **Case 1** & **Case 2** & **Case 3** \\ \hline PV–BESS & 0.4113 & 0.6147 & 0.5824 & 0.5998 \\ \hline WPG–BESS & \(-0.3014\) & \(-0.2847\) & \(-0.2847\) & \(-0.2847\) \\ \hline \hline \end{tabular}
\end{table} 
Table 15: Correlation between SMP and output measured at PCC controlled. However, based on our simulation results, it was demonstrated that the reliability criteria do not significantly influence the revenue streams, considering that the capacity factor of a PV generator is not greater than 70%. The differences in the revenue after implementation of the reliability constraints were calculated to be 0.06% with the output limit at the PCC, and less than 0.3% with the reliability incentive. Thus, the major factor for profit maximization from the AO's perspective is concluded to be the introduction of structured control logic which improves the revenue streams of the portfolio with the BESS and the PV by 14.25%, and output constraints at the PCC shift the operation pattern of the BESS to the desired intervals. In the case of the portfolio with the BESS and the WPG, due to the negligible size of the BESS installed, there was no significant change in the revenue stream in each case. However, from the perspective of the control schemes, the BESS coordinated with the WPG operated considering patterns of SMP, as intended for its primary purpose, and demonstrated via the correlations. Furthermore, it was possible to confirm that the BESS discharged not at its full ramp rate considering the reliability constraint imposed, whereas it formerly discharged at its maximum ramp rate immediately, regardless of the patterns of the SMP. Considering the results determined from the AO's perspectives, the reliability constraints currently in effect are therefore concluded not to be significant environmental variables influencing the coordination, but induce greater discharging operations during off-peak periods to a certain extent. [PERSON] performed the research and finished the paper. [PERSON] provided guidance for the research. Both authors have read and agreed to the published version of the manuscript. This work was supported by the Korea Institute of Energy Technology Evaluation and Planning(KETEP) and the Ministry of Trade, Industry & Energy(MOTIE) of the Republic of Korea (No. 20183010014260). Not Applicable. The data presented in this study are available on request from the corresponding author.