A new type of combined cooling, heating and power (CCHP) system is proposed, consisting of a dual recompression Brayton cycle, a CO₂ reheat Rankine cycle and a two?stage flash cycle, to achieve synergistic waste heat recovery from a natural gas?fueled solid oxide fuel cell, utilization of liquefied natural gas (LNG) cold energy, and capture of CO? from flue gas. The cycle system was simulated using thermodynamic simulation software to analyze the effects of the mass fraction of mixed workmass Xe, the inlet pressure p₂₃ of the CO₂ reheat Rankine cycle expander, the pump outlet pressure p₂₆ of the flash cycle, and the shunt ratio x on the system's thermal efficiency, saprophytic efficiency, net work output, and cold water recovery rate. The results demonstrate that increasing p₂₃ is favorable to improve the net output work, thermal efficiency and hydronic efficiency of the system; decreasing p₂₆ is favorable to improve the net output work and thermal efficiency of the system, and increasing the Xe mass fraction and shunt ratio can improve the net circulating work, thermal efficiency and hydronic efficiency of the system. When the mass fraction of Xe is 0.3, p₂₃ is 16 MPa and p₂₆ is 13.5 MPa, the thermal efficiency, the net efficiency and the net output work of the system are 67.17%, 58.13% and 2 587.96 kW, respectively.