## 1 Introduction  
As global warming, air pollution, and fossil fuels shortages are considered serious environmental issues today, researchers and scientists have been dedicated to discovering clean energy sources. Fuel cells that use hydrogen to generate energy offer a method of replacing fossil fuels and reducing carbon emissions [1; 2; 3; 4; 5]. In recent years, methanol has been widely studied as a means of portable hydrogen. Methanol can be easily transported as a liquid fuel compared to hydrogen stored in high-pressure gas tanks. Although there are many methods for reforming methanol, due to its lower CO concentration, higher hydrogen production, and reasonable reaction temperature range, hydrogen produced by methanol steam reforming (MSR) reaction is a decent method that can directly provide reformed hydrogen to fuel cells [6; 7; 8]. For example, [PERSON] and others integrated a methanol reforming reaction with a 5 kW high-temperature PEM fuel cell system. Their system started up a reformer within 45 min, achieving an overall system efficiency of between 27% and 30% [9]. However, due to the endothermic reaction of MSR, a heat source is required in the reforming system. As a heat source, catalytic combustion is a safer and cleaner way to burn fuels such as hydrogen [10] or methanol [11; 12], which can start combustion at 30 \({}^{\circ}\)C, often using platinum as a catalyst in the combustion chamber. Since the flameless reaction temperature is relatively low, the NO\({}_{\text{x}}\) emissions during catalytic combustion are also not significant [13]. In addition, the hydrogen off-gas produced by the fuel cell can be burned and used as a heat source to provide heat for the steady-state endothermic methanol steam reforming reaction [14]. [PERSON] et al. [15] illustrated that the utilization of fuel cell exhaust hydrogen gas can significantly improve the the efficiency of the fuel cell system. In the presence of a highly efficient catalyst, ignition can occur at room temperature, which avoids the preheating process of hydrogen, speeds up the start-up time, and reduces the fuel cell system's reliance on electric heating. On the other hand, [PERSON] et al. integrated a micro-catalytic hydrogen burner and a methanol reformer [16]. In their reformer system, a porous support with a flat plate structure was used as the burner. The system adopts a stacked configuration design, which not only saves space, but also improves heat transfer efficiency. Through theoretical calculations, it was found that when fuel enters the combustion chamber from top to bottom, this shape results in the most uniform temperature distribution and reaction gas concentration. Experimental results show that compared with the unoptimized carrier, the temperature variation can reach 62 \({}^{\circ}\)C, while after optimization, the temperature change is reduced to 23.8 \({}^{\circ}\)C. Under uniform heating, the CO selectivity and long-term performance of the methanol reforming reaction can be improved. In addition to integrating with hydrogen burners, [PERSON] et al. also integrated reformers with methanol burners [17]. Methanol burners can burn methanol at room temperature to replace electric heaters or high-pressure tanks for hydrogen storage. This automatic heating system can operate at 350 W PEMFC for over 1 h. But the burner does not use the exhaust gas of the fuel cell, and its volume is also quite large for a hundred-watts system. Methanol burners are also widely used in hydrogen fuel cell vehicles [15]. Methanol burners as heat supply are not only important supports for ATMSR hydrogen production, but also dominate the hydrogen production performance of ATMSR microreactor. Especially in plate methanol reformers heated by methanol burners, the temperature changes provided by the burners will greatly affect the efficiency of the overall reformer catalyst performance [18].