The combination of solid oxide fuel cell (SOFC) and waste heat recovery technology can further improve the energy conversion efficiency of the system. In this study, a hybrid system combining SOFCs with a partial heating supercritical CO2 Brayton cycle (PHSCBC) is designed, where the exhaust gas from the SOFC system serves as a high-temperature heat source to drive the PHSCBC for co-generation. Electrochemical and thermodynamic models are established to comprehensively evaluate the energy and exergy of the integrated system. Through parameter analysis, the impact of the steam-to-carbon ratio, fuel flow rate, compressor inlet temperature and pressure, and pinch point temperature difference on the performance of the co-generation system is investigated. The system performance is optimized, and it is found that with a fuel flow rate of 0.54 mol/s and an air flow rate of 6.19 mol/s, the net power output, electrical efficiency, and exergy efficiency can reach 260.08 kW, 61.20%, and 56.54%, respectively. Increasing the fuel flow rate has proven beneficial in significantly enhancing the system's electrical efficiency. The proposed hybrid system demonstrates efficient, cost-effective, and clean co-generation capabilities, making it a promising advanced energy conversion technology with practical application prospects. ©2024 Chin.Soc.for Elec.Eng.