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The mathematical model of a double disk horizontal axis wind turbine is constructed. The turbine has two propellers (actuator disks). One propeller is rigidly connected to a carrier of a planet gear, the other is rigidly connected to an external ring of the same planet gear. A rotor of an electrical generator is rigidly connected to a sun of the planet gear. The generator is included into a local electrical circuit with several consumers. Only torsional behavior of the rotors under external loading is discussed. The quasi-steady model of aerodynamic action is used. The electromechanical torque acting on the rotor of generator is assumed to be a linear function of an angular speed of the rotor. Existence and stability of steady motions is studied. Analysis of characteristics of steady motions such as an angular speed of each propeller and mechanical power trapped from the flow is performed. A control strategy is suggested.