A wind turbine comprises a wind rotor, a generator driven by the wind rotor, a converter, wherein the generator and the converter generate electrical energy output via a connecting line with an inductively acting line reactor to a grid, and an overvoltage protection device comprising a plurality of different active modules, which are designed in such a way that they each effect, in different ways, a reduction in the voltage at the output of the converter, a switching matrix, which connects and disconnects the different active modules, and a selector comprising an overvoltage classifier, which is designed to select a predetermined stage depending on the overvoltage and to actuate the switching matrix in such a way that successive ones of the active modules are disconnected, wherein the overvoltage classifier defines a plurality of overvoltage ranges by virtue of in each case the selector setting different switching groups.