Abstract: The increase of source/network/load uncertainties in power system operations makes the prerequisites of deterministic dispatching methods more and more difficult to satisfy in current power systems.Prediction,analysis and decision-making methods under uncertainty have been developed rapidly.However,as the basis of dispatching in uncertain environment,the statistical rules of the source/network/load are still uncertain for themselves,which directly affect the effectiveness of the decision-making methods and cannot be ignored simply.Recently,researchers begin to focus on the higherorder uncertainty problems and put forward information acquisition methods and optimal dispatching methods in view of the uncertain probability distributions.In this context,the higher-order uncertainty problems existing in renewable generation,load response capacity and power generation/transmission equipment are analyzed concentrating on the clue of the higher-order uncertainty,the existing analysis and decision-making methods under higher-order uncertainty are introduced.Finally,the key problems and future research directions in this field are summarized and expected.