Abstract: In high energy-consuming industries such as chemical,petroleum and mining,there is a large amount of high-pressure fluid discharged directly through pressure reducing valves,resulting in a large amount of energy waste. The use of centrifugal pumps as turbine（ PAT） to recycle this energy is an economic and practical method,but the performance prediction of centrifugal PAT is one of the key technologies and difficulties in its application. So the research progress of centrifugal PAT in performance prediction at home and abroad in recent years are systematically summarized,and an outlook on the future research is provided. Firstly,the research and progress of centrifugal pumps for the prediction of high efficiency point and full working condition characteristics of PAT are summarized and reviewed. In the prediction of high efficiency point of PAT,the flow and head conversion factors of pump and turbine operating conditions are calculated by empirical prediction,theoretical analysis and intelligent algorithm prediction. In the prediction of the full working conditions of the PAT,experimental fitting,theoretical analysis,numerical calculation and other methods are used to reveal the conversion relationship between the turbine under the partial working conditions and the optimal working conditions. Finally,some problems in the current research are discussed and the future research directions are prospected.