# Distributed Generation Cluster Division Method Considering Frequency Regulation Response Speed
## 6 Conclusions  
In this paper, an index system containing structure and function is constructed to quantify the performance of cluster frequency regulation, and the optimal division is solved based on an improved genetic algorithm. According to the theoretical data provided in this paper, this index can help in the planning of grid construction and the stable operation of renewable energy grid connection. Innovative indexes are proposed in the context of the power dynamic balance problem of large-scale distributed generation at the structural and functional levels. The I-PR integrated electrical distance is defined considering renewable energy output volatility and uncertainty. In order to exploit the frequency regulation potential of the whole system, a frequency regulation response speed index is proposed. A segmentation study of two simulated systems based on the adaptive genetic algorithm is carried out. The results show the following:  
1. By analyzing arithmetic examples at two levels, the index system proposed in this paper is verified to be basically able to measure the frequency regulation potential of a distribution network system based on the judgment of the network's surplus power, the net power of clusters, and the available resource flexibility.
2. At the system level, after the cluster division is completed, the response speed index proposed in this paper can be used to re-optimize the response characteristics of resource flexibility within clusters on the basis of ensuring the structural nature of the clusters and enhancing the ability of each DGC to participate in the frequency regulation of the power system.
3. By quantifying the frequency regulation potential of distributed distribution networks containing renewable energy sources, this paper offers distribution network planners a control framework that emphasizes frequency regulation capability. The evaluation of the indexes and the delineation of the algorithms provide guidance for operator scheduling programs and a basis for subsequent frequency regulation programs for renewable energy units.  
There are many constraints in the scheduling of distribution networks in actual systems that are not considered in this paper, such as changes in the network structure during the scheduling process. In the operator's actual scheduling process, economic benefit is also a factor that cannot be ignored; therefore, how to realize better economic benefits based on the interoperability of renewable energy units in the distribution network is a part of this research that should be supplemented. Finally, the control strategy between and within small clusters after division is also a direction worth studying.  
The research presented in this paper was a collaborative effort among all authors. Conceptualization, Y.X. and T.Z.; Methodology, P.H. and F.Z.; Visualization, P.H.; Formal analysis, F.Z.; Writing, original draft, Y.X.; Writing--Review & Editing, T.Z. All authors have read and agreed to the published version of the manuscript.  
This work is supported by the Natural Science Foundation of Jiangsu Province (No. BK20220216) and the Fundamental Research Funds for the Central Universities (No. 30922010709).  
Not applicable.  
Data Availability Statement: Data is contained within the article.  
\begin{table}
\begin{tabular}{c c c} \hline \hline  & **Surplus Power (MW)** & \(\mathbf{\varphi_{d}}\) \\ \hline Scheme A & 186.45 & / \\ Scheme B & 203.86 & 0.4862 \\ Scheme C & 212.45 & 0.5339 \\ \hline \hline \end{tabular}
\end{table}
Table 3: Cluster indexes under different division schemes.