海上风电低频传输系统是一种很有前景的海上风电集成解决方案。六边形变换器（hexagon converter，Hexverter）作为从模块化多电平矩阵变换器（modular multilevel matrix converter，M3C）基础上改进而来的拓扑结构，在低频传输中具有一定的优势。但当其应用于海上风电时，可再生能源的随机性及其非线性特性使得线性PI控制难以达到理想的控制效果。而李雅普诺夫（Lyapunov）函数控制策略在运用于非线性系统时控制效果要优于PI控制，因此，提出了基于Hexverter的Lyapunov函数控制策略。首先分析了Hexverter对象的Lyapunov函数控制策略的全局渐进稳定性，再基于Hexverter的拓扑结构推导出了Hexverter的双侧Lyapunov函数控制的控制律，并讨论了Lyapunov函数控制的参数选择问题。最后在MATLAB/Simulink和RT-LAB平台上建立了Hexverter的Lyapunov函数控制系统，模拟多种工况下的运行结果，并通过与PI控制进行对比验证了所提出Lyapunov函数控制策略的可行性。

Low frequency transmission system (LFTS) is a promising solution for offshore wind power integration. As a topology modified from the modular multilevel matrix converter (M3C), the hexagon converter(Hexverter) has some benefits in low frequency transmission. When Hexverter is applied to offshore wind power, the stochastic nature of renewable energy and its non-linear features make it hard for linear proportional integral (PI) control to reach desired control results. However, the Lyapunov function control strategy is better than PI control when applied to nonlinear systems. Therefore, this paper proposes a Lyapunov function control strategy based on Hexverter. Firstly, the global asymptotic stability of the Lyapunov function control strategy of Hexverter object is analyzed, and then the control law of the bilateral Lyapunov function control of Hexverter is derived based on the topology of Hexverter, and the parameter selection of Lyapunov function control is discussed. Finally, the Lyapunov function control system of Hexverter is constructed on MATLAB/Simulink and RT-LAB platforms to simulate the operation results under various working conditions, and by comparing the simulation results with PI control, the viability of the Lyapunov function control strategy proposed is confirmed.