A compressor for a turbo chiller that can stably and efficiently operate in various operating states is provided. An aerodynamic feature map showing a rotating stall line at which rotating stall occurs is provided on a map represented by a flow parameter reflecting the volume flow based on the output thermal capacity of the chiller and by a pressure parameter reflecting the head based on the evaporator pressure and the condenser pressure. A minimum rotation speed obtaining unit obtains a minimum rotation speed from the pressure parameter and the rotating stall line on the aerodynamic feature map in the current operating state, and a rotation speed greater than or equal to the minimum rotation speed thus obtained is designated to the inverter.