Abstract: Hydrogen production by wind power is a method with characteristics of full-cycle and zero-carbon emission hydrogen production, which is an important way to achieve the goal of carbon neutrality and promote the green transformation of the energy structure. In accordance with the problems of the weak active support capability of a hydrogen production system by wind power connected to the weak grid, a dual virtual generator control strategy based on a grid-forming energy storage virtual synchronous generator strategy and the virtual DC machine strategy are adopted in the hydrogen production system by wind power in this paper, which enhances the active support capability of voltage and frequency of the system effectively, as well as provides a reliable inertia and damping support for the DC bus of the hydrogen production system. In addition, the effects of rotational inertia and damping coefficients on the stability and dynamic response of the system are analyzed based on the small-signal method for both control strategies. At last, the wind-hydrogen-storage simulation model constructed by SIMULINK is verified, and the results show that the dual virtual generator control strategy can provide reliable voltage and frequency support for the hydrogen production system by wind power which connects to the weak grid, and improve the DC bus voltage fluctuation of the hydrogen production system better.