Systems and methods for managing electricity of an electrical supply grid electrically connected to a wind farm are disclosed. Some systems and methods may include identifying relationships among a plurality of turbines in the wind farm with a minimum spanning tree, calculating a power output relationship among the plurality of turbines with the minimum spanning tree, creating a finite state space Markov chain forecast model for the plurality of turbines in the wind farm, predicting a power output of the wind farm with the finite state space Markov chain forecast model, and modifying at least one of a generation of electricity and a distribution of electricity based on the predicted power output of the wind farm. Also disclosed are systems and methods for predicting the power output of a wind farm.