A transmission arrangement for a motor vehicle comprises a control device, a machine power electronics system, and an electric machine. The electric machine includes a plurality of windings which are connected to the machine power electronics system via particular phase conductors. The machine power electronics system is connected to the control device. The control device includes a temperature detection portion which is connected to at least one phase conductor and is designed for feeding an excitation signal into the phase conductor. The temperature detection portion is designed for capturing a response signal in the phase conductor, and from the response signal, deriving a winding temperature of the winding assigned to the phase conductor.