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The wind farm (WF) provides fast frequency regulation (FFR) has become a consensus in low-inertia power systems. However, the optimal power sharing within the large-scale WF during the FFR process is intractable. Inspired by the intrinsic similarity between the information flow and the power flow, this paper proposes a distributed power sharing control for the FFR of the large-scale WF based on the idea of equation-based congestion control (EBCC). Concretely, a global congestion index, reflecting the deviation between the output power and the FFR order of the WF, is introduced for power tracking at the WF level. Besides, a local congestion index, which implies the operating cost of each WT, is constructed to reduce the operating cost of the WF. Then, the power sharing of each WT is determined locally. The distributed control significantly reduces the computational and communication burden, which makes the proposed method suitable for the large-scale WF, as well as meeting the demand of FFR. Moreover, the robustness to varying operating conditions makes the method practical and attractive. Finally, the effectiveness of the proposed method is verified under various scenarios by simulations. • The concept of congestion control is introduced in the WF power sharing issue. • It achieves distributed and non-iterative optimal power sharing among WTs. • It has a lightweight computational and communication burden. • It tracks various FR orders rapidly and smoothly with less operating cost. • Optimization objectives is flexible and can be customizable. [ABSTRACT FROM AUTHOR]