## 5 Conclusions  
This article is based on the main functions of the ASIST system and designs a new type of electric-driven offshore helicopter traction system. Combining bond graph theory, a complex mechanical system dynamics modeling method that takes into account the dynamic characteristics and energy consumption characteristics of the system is proposed, and simulation analysis is conducted. Simultaneously, the control system design was achieved by integrating the vector control algorithm with the fuzzy PI control algorithm. On this foundation, a new dynamics model of the transmission system was constructed using bond graph theory for a novel helicopter traction system. The dynamic characteristics and energy consumption characteristics of the system were scrutinized and simulated in Matlab/Simulink. From the simulation results, it is evident that the innovative helicopter traction system proposed in this article exhibits marked attributes:  
1. The developed electric helicopter traction system coupled with a fuzzy adaptive controller demonstrates rapid response and well-defined steady-state characteristics, meeting the demand of helicopter traction diversion whilst offering superior rapid reaction speed and steady-state performance. Specifically, the maximum overshoot of the system is approximately 3.25%, and the steady-state error approximates to 0.12%,  
Figure 11: Difference between total energy consumption and effective energy consumption.  
Figure 10: The correlation chart of total energy consumption and effective energy consumption: (**a**) total energy consumption and effective energy consumption of the system; (**b**) total energy consumption and effective energy consumption of the system.  
which virtually approaches zero. Simultaneously, it presents a high energy utilization ratio with an impressive energy efficiency reaching 84% within a single working cycle.
2. The energy loss in the large inertia dynamic system, exemplified by a helicopter traction system, predominantly stems from the inertial losses during the initiation phase of the system. Consequently, in the realm of optimal design, the rotational inertia of components such as the decelerator input should be reduced while ensuring strength to positively impact system energetic efficiency.
3. The dynamic modeling method proposed in this study, based on the acquisition of the system's dynamic characteristics, vividly reflects the dynamic energy consumption characteristics of the system. This addresses the deficiency in transmission dynamics analysis methods, which rarely consider energy consumption. It provides a reference for the dynamic energy consumption analysis of other complex mechanical systems.  
This research effectively amplifies the application domain of shipborne equipment, lessens energy consumption during translocation, and provides a crucial theoretical foundation and data references for the development of an electric propulsion system for carrier helicopters.  
Conceptualization, T.J. and T.S.; methodology, T.S.; software, T.S. and Q.L.; validation, T.S. and T.J.; formal analysis, T.S and Z.L.; investigation, P.Y. and T.S.; resources, T.J.; data curation, Q.L.; writing--original draft preparation, P.Y. and T.S.; writing--review and editing, T.S. and H.Z.; visualization, T.S.; supervision, T.J. and Z.L.; project administration, T.J. and H.Z.; funding acquisition, T.J. All authors have read and agreed to the published version of the manuscript.  
This research was funded by Hebei Provincial Key Research and Development Program, grant number 22357601D.  
Not applicable.  
The processed data required to reproduce these findings cannot be shared, as the data also form part of an ongoing study.  
The authors acknowledge the support of the Hebei Provincial Key Research and Development Program.  
All of the authors declare that there are no conflict of interest regarding the publication of this study.