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This paper presents two RX models of a wind-driven wound-rotor induction generator (WRIG) with dynamic slip control for load-flow calculations of a large-scale wind farm connected to a distribution system. The wind farm contains multiple wind-driven WRIGs with dynamic slip control operated under different wind speeds. The steady-state quantities of the studied wind-driven WRIG with dynamic slip control subject to the variations of external impedance connected to the rotor windings of the WRIG are evaluated. The characteristic circles of the studied wind-driven WRIG with dynamic slip control on the R-X plane are also examined. The calculated load-flow results under various values of wind speed and the characteristic circles under different values of operating conditions using the proposed two RX models are both performed and compared on the IEEE test system. It can be concluded from the simulation results of the IEEE 30-bus test system that the proposed RX models are both effective to model the steady-state performance of multiple wind-driven WRIGs with dynamic slip control connected to distribution systems.