Abstract: The double carbon targets have promoted the change of the morphology of power systems, and posed new challenges to the operation mode and control mode of the new-type power system. It is necessary to research the morphology evolution method of cyber physical power system (CPPS) to improve the new-type power system's analysis and decision-making ability. Based on the perspective of cyber-physical fusion, this paper firstly summarizes the research status of the morphology evolution of CPPS in terms of security operation and economic operation, and then further elaborates the key technologies of the morphology evolution of CPPS, including the system morphology characterization method, the analysis method of the security operation morphology evolution, and the analysis method of the economic operation morphology evolution. Finally, the digital twin simulation technology and formal verification technology, which underpin the morphology evolution analysis of CPPS, are prospected respectively from two aspects: simulation verification and mathematical logic.