As a key component of micro-thermophotovoltaic systems, the performance of burners decisively influences the overall system output power. However, at micro/meso scales, combustion systems are plagued by inherent limitations including short residence times and substantial heat loss. Although numerous literatures have proposed various burners to enhance combustion performance, their combustion efficiency and radiation efficiency remain low. To address these issues, this work proposes a perforated plate burner with finned recuperator. This study employs a combined approach of numerical simulation and experimental validation to investigate the effects of burner structures [with/without finned recuperator and distance between the fire holes (S/D)] on flammability limits, flow field distribution, heat transfer effects, and pollutant emissions. Key findings reveal that compared to non-fins designs, the fins burners exhibit better flame root anchoring capability and a broader flammability limit. And they also achieve stronger preheating effects, higher outer wall temperatures, and greater radiant efficiency. It is worth noting that the parameter S/D plays a crucial role in flame anchoring mechanisms. To be specific, at S/D=1.1, the flame is anchored by both the inner and corner recirculation zones (IRZ and CRZ). At S/D=1.3, the flame stabilization is dominated by the IRZ and the wall boundary layer. While at S/D=1.5, the flame is anchored by the central low-velocity zone and the wall boundary layer. Through in-depth analysis, it is demonstrated that the design with fins and S/D=1.1 represents the optimal structural configuration. Although, its combustion efficiency and radiation efficiency fall between those achieved at S/D=1.3 and 1.5, it exhibits the best preheating rate and flame stability, along with the widest stable combustion range and produces the lowest CO emissions at the burner outlet. This research provides valuable insights into flame stabilization mechanisms and offers practical guidance for designing high-performance miniature power devices.