# Electrical Circuits Simulator in Null-Flux Electrodynamic Suspension Analysis
## 4 Conclusions  
This study presents an analytical model for analyzing a null-flux suspension Maglev system using a commercial electrical circuit simulator and DCT. This method allows for dynamic and transient analysis of EDS systems, producing results consistent with previous studies in the literature. One significant advantage of this approach is its time efficiency, as the simulation takes only 10 s to run and can be run countless times after uploading the force calculation tables to the software. This method also enables the efficient implementation of modifications and the rapid analysis of their effects, including introducing other elements. Furthermore, changes can be made with just one click, simplifying the system modification. The results of this study demonstrate the effectiveness of the analytical calculation approach, which offers a faster computation time than alternative methods, such as finite element analysis, while still producing accurate results. The reduced computation time required to run the simulation makes this approach particularly advantageous for the designing and optimizing of EDS systems. Experimental data from the Yamanashi test line were incorporated into the study. These empirical measurements validated and enhanced the analysis, providing real-world evidence to support the findings. By integrating qualitative data, the study gains credibility and offers a more comprehensive assessment of the Maglev system's null-flux suspension performance and behavior. Including experimental data strengthens the study's impact and contributes to the ongoing development and optimization of EDS systems.  
All authors contributed extensively to the work presented in this paper. Conceptualization, methodology, software, writing--original draft preparation, T.N.F.; writing--review and editing, H.L., H.S., L.L. and Z.D.; supervision, L.L.; project administration, Z.D. All authors have read and agreed to the published version of the manuscript.  
This work was supported by the Science and Technology Partnership Program, Ministry of Science and Technology of China under Grant KY201701001.  
Not applicable.  
The authors would like to express sincere gratitude and appreciation to [PERSON] for his invaluable insights and constructive feedback, which have greatly enhanced the quality and accuracy of this paper. His profound knowledge and expertise in magnetic levitation were instrumental in shaping the direction of this research and refining the arguments presented herein. The authors are genuinely indebted to [PERSON] for his time, dedication, and unwaring commitment to scholarly excellence.  
The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.  
The following abbreviations are used in this manuscript:  
8-shaped coil, 8C Figure-eight-shaped coil DCT Dynamic Circuit Theory EDS Electrodynamic Suspension EMS Electromagnetic Suspension FEM Finite elements method HTS High-temperature superconducting Suspension JR Central and Central Japan Railway Company JR-Maglev Japan Railway Maglev system L0 Series Levitation O Serie Maglev Magnetic levitation MLX01 Magnetic Levitation Experimental 01 MS Mechanical suspension PC Propulsion coil RTRI Railway Technical Research Institute SC Superconducting coil