## 6 Conclusions  
A high-speed modeling method for the MMC valve based on data derivation is proposed in this paper. The data derivation is used to generate multiple sets of parameters from a limited number of system input parameters (three to four). These derived parameters are then utilized to establish the electric field analysis model for the MMC valve. Firstly, the relationship between the MMC valve electric field calculation model parameters and the MMC-HVDC transmission system parameters was studied. Then, the data derivation system for the electric field calculation model parameters of all components of the MMC valve was established. Modeling parameters databases based on empirical knowledge is also used in the calculation process of the data derivation system. The output model parameter matrix includes the geometric parameters, position parameters, and electrical parameters of the components. The electric field calculation model of the MMC valve can be quickly generated by output model parameter matrix. Furthermore, to improve the accuracy of the calculations, a discrete modeling method that combines mesh optimization was proposed. A mesh division influence factor based on the accuracy of electric field calculation is proposed. Finally, the method proposed in this paper was applied to the \(\pm\)320 kV MMC-HVDC valve for electric field modeling and calculation. The numerical results demonstrates that the high-speed modeling method proposed in this paper can significantly reduce the modeling time of the MMC valve but also enhances the accuracy of electric field calculations compared to conventional approaches. In the next phase of our research, we will focus on further refining and enhancing the database. Additionally, we plan to digitize more equipment design processes. By utilizing operational data and test results from practical applications, we aim to improve the high-speed modeling theory. We will also incorporate intelligent algorithms to achieve more precise and intelligent electrostatic field analysis modeling of converter valves during the high-speed modeling process. In future research, it is essential to employ digitalization techniques to bridge the gap between practical device parameters and theoretical scientific research. The integration of electrostatic field analysis with system operation through unified artificial intelligence (AI) analysis and fault prediction for converter valves represents a significant direction for future development. Conceptualization, J.Z., S.W., Y.H. and R.T.; methodology, J.Z. and S.W. ; software, J.Z. ; validation, J.Z. ; formal analysis, J.Z. ; investigation, J.Z. ; resources, J.Z. ; data curation, J.Z. ; writing--original draft preparation, J.Z. ; writing--review and editing, J.Z. ; visualization, J.Z. All authors have read and agreed to the published version of the manuscript. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Modeling Methods** & **Modeling Time** & **Mesh Refinement Factor** & **Maximum Electric Field Strength** & **Error Rate/\%** & **Simulation Time** \\ \hline \hline  & & 1 (initial) & 0.368 kV/mm & 18.4 & 2 h \\  & & 6 & 0.3939 kV/mm & 12.66 & 10 h \\  & & 10 & 0.415 kV/mm & 7.95 & 13 h \\  & & 15 & 0.429 kV/mm & 4.88 & 14 h \\ Conventional methods & \textgreater{}120 h & 30 & 0.438 kV/mm & 2.88 & 15 h \\  & & 40 & 0.452 kV/mm & 0.22 & 20 h \\  & & 50 & 0.455 kV/mm & 0.87 & 26 h \\  & & 60 & 0.451 kV/mm & 0 & 30 h \\  & & 75 & 0.451 kV/mm & 0 & 41 h \\ High-speed methods & \textless{}16 h & No operation & 0.453 kV/mm & 0.4 & 4 h \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Comparison results of the two methods for electric field calculation. Funding: This paper is supported by the National Key Research and Development Program (2021 YFB2401700) and the Key State Laboratory for Electrical Insulation and Power Equipment (EIPE22120). **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** Not applicable.