One embodiment of a heat exchange system is disclosed having a heat exchange compressor and multiple evaporators capable of operating at different heat transfer requirements. The heat exchange compressor may be a single-stage or multi-stage compressor. In one form the evaporators return working fluid in separate streams to the heat exchange compressor. The heat exchange compressor may be integrated with a gas turbine engine and includes a number of inlets that correspond to a number of separate evaporators. Each inlet can be configured to receive working fluid at different locations within a pressure and velocity flow field created in the compressor. The heat exchange compressor may be driven by a shaft of the gas turbine engine and may be positioned at a variety of locations.