Transmission systems, control systems for vehicles, and methods of operating vehicles are disclosed herein. A transmission system for a vehicle includes a transmission and a heat exchanger. The transmission is configured to receive rotational power supplied by a drive unit and provide the rotational power to a load in use of the transmission system. The heat exchanger is fluidly coupled to the transmission and configured to cool a sump of the transmission to manage transmission oil temperature in use of the transmission system. The transmission includes a control system having a plurality of sensors and a controller coupled to the plurality of sensors that has a processor and a memory device coupled to the processor.