The development of wind power has led to a decrease in the penetration rate of synchronous generators, resulting in a reduction in power system resilience. In the case of an internal fault of a doubly-fed wind farm (DFWF), the removal of a doubly-fed wind turbine (DFWT) may cause a power shortage, posing a threat to its safe operation. In light of this, a fault power coordination control method for doubly-fed wind turbines is proposed to actively support the grid by using the transient energy accumulated by the mechanical and electromagnetic power imbalance of the DFWT during the fault. This paper analyzes the characteristics of the DFWF internal fault, proposes the idea of fault full process power coordination control, derives the analytical expression of DFWT speed under DFWF internal fault, analyzes the characteristics of DFWT transient energy, and provides a calculation method for the maximum transient energy. Subsequently, the calculation methods for control reference values of the DFWT and power support time are given and a DFWT fault power coordination control strategy is proposed. The algorithm demonstrates that DFWF fault power coordination control can use transient energy maximally to supply power support and reduce the impact of DFWF internal faults in the power system.