## 6 Conclusions  
This paper takes microgrid as the principal entity of the IEMG system to solve and analyze the issue of day-ahead optimal operation scheduling in the IEMG system. The conclusions of this paper are as follows:  
1. Based on the synchronous ADMM algorithm, a distributed solution has been implemented, ensuring the information security of each region.
2. Through the solution and analysis of multiple instances of IEMG groups for energy optimization of the IEMG system, it validates the effectiveness and quickness of the proposed method in addressing the complex interactions of multiple IEMGs.
3. In this paper, without taking into account the flow of the energy network within the system, it validates the positive impact of introducing tiered carbon trading on both the system's carbon emissions and its economic efficiency. Significantly reduced external energy dependence while keeping the total cost to the user unchanged; by joining the ladder carbon trading mechanism, the cost of interaction with the external grid has been reduced by 56.64%, the cost of gas has been reduced by 27.78%, and the cost of carbon emissions has been reduced by 29.54%.  
In subsequent work, it should consider the tide problems existing in different energy transmissions and propose a more comprehensive model construction.  
Conceptualization, Z.L.; Methodology, Z.L.; Software, Z.L., Y.G., T.L. and D.K.; Validation, Z.L.; Formal analysis, Y.G., T.L. and H.G.; Investigation, Y.G., T.L., D.K. and H.G.; Data curation, T.L., D.K. and H.G.; Writing--original draft, Z.L.; Writing--review & editing, R.Z.; Supervision, R.Z.; Project administration, R.Z.; Funding acquisition, R.Z. All authors have read and agreed to the published version of the manuscript.  
Tibet Autonomous Region Science and Technology Program (XZ202401 JD0005). Tibet Agricultural and Animal Husbandy University Talent Project (XZNMXYRCXM-2024-09). Supporting projects for the Key Laboratory of Electrical Engineering, Tibet Autonomous Region Department of Education (2024D-ZN-01).  
The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.  
Author [PERSON] was employed by Beijing Shougang Automation Information Technology Co., Ltd. Author [PERSON] was employed by the State Grid Heilongjiang Power Company Limited State Grid Daqing Power Supply Company. The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.  
\begin{table}
\begin{tabular}{c c c} \hline \hline
**IEMG1** &
\begin{tabular}{c} **Traditional Carbon Trading** \\ **Cost/RMB** \\ \end{tabular} & **Tiered Carbon Trading/RMB** \\ \hline Interaction cost & 17,782,129 & 7,709,822 \\ Gas cost & 57,276,394 & 41,368,711 \\ Carbon emission cost & 5,093,506 & 35,881,761 \\ Energy supply revenue & 414,171,202 & 395,795,342 \\ Microgrid income & 466,210,842 & 310,835,047 \\ Total cost of user & 4,534,891 & 4,534,891 \\ \hline \hline \end{tabular}
\end{table}
Table 1: Cost of IEMG1 in traditional carbon trading and tiered carbon trading.  
Figure A2: IEMG2 optimization results.  
Figure 17: IEMG3 optimization results.