## 3 Results and Discussion  
Table 4 shows the main results. The system is fed with 1000 kg/h of dry biomass with an LHV of 20 MJ/kg. This biomass thus has an intrinsic thermal potential of 5555 kW. Dry syngas is produced at a rate of 1295 kg/h with an average molecular weight of 11.76 g/mol and a calculated LHV of 2.12 \(\times\) 10\({}^{8}\) J/kmol, which means 6487 kW of intrinsic thermal potential. The value of the M ratio calculated according to Equation (3), is 2.0. Carbon yield in the syngas is 75%. The other 25% of carbon from biomass feed is assumed to be found within the 150 kg/h of char produced. Aside from the energy input contained in the biomass, the system also requires an energy input in the form of electricity powering the solid oxide electrolyser that generates the H\({}_{2}\) and O\({}_{2}\) streams. The electrolytic H\({}_{2}\) required for the process is calculated at 115 kg/h, which means that 1035 kg/h of H\({}_{2}\)O (as steam) is electrolysed. At the exit of the HRB, 1200 kg/h of low-pressure steam is produced and could be used as a feed for the electrolysis block. In parallel, the electrolysis process produces O\({}_{2}\) at a rate of 920 kg/h, which is greater than the overall O\({}_{2}\) input flow rate of 480 kg/h needed for the gasification process in Zones I and II. The unused, ultra-pure O\({}_{2}\) could either be stored and sold or vented. The LHV of H\({}_{2}\) is 120 MJ/kg. The assumption can be made that the electrolysis consumes 130 MJ/kg-H\({}_{2}\) or 36 kWh/kg-H\({}_{2}\). Producing 115 kg/h of H\({}_{2}\) requires electrical power consumption of 4140 kW. The total system energy efficiency is represented by the following equation:  
\[\text{Efficiency}=(\text{F}_{\text{syngas}}\text{ }^{*}\text{LHV}_{\text{syngas}})/( \text{F}_{\text{Biom}}\text{ }^{*}\text{LHV}_{\text{Biom}}+\text{Electr}) \tag{9}\]  
where F refers to the mass flow of a given stream, LHV refers to the lower heating value, and Electr is the electrical power used for electrolysis. Overall, a high total system energy efficiency value of 67% is obtained. All numerical results obtained through this simulation are not meant to present the most precise prediction possible of experimental results that would be obtained with a set-up since a great number of variables would influence these experimental results. In that regard, we can think of variables such as type/composition/humidity of biomass feed, temperature distribution, pressure, flow rate, particle size, type of gasifier (geometry, flow, residence time), and catalysts. The objective of this study is rather to obtain a general idea of what the proposed concept would lead to in terms of energy efficiency and improved carbon yield. The proposed technology contributes to the reduction of greenhouse gas emissions compared to other systems in a number of ways. Since the carbon contained in the biomass is biogenic, its release does not add any additional carbon that is not already in the earth's natural carbon cycle, unlike when methanol is produced from fossil fuel. Even if some carbon is released as CO\({}_{2}\) during the synthesis process or as part of a subsequent methanol combustion application, the greenhouse effect from this emission would be much less severe than that from CH\({}_{4}\) that would otherwise be released from wood waste if it were left decaying in nature instead of used as an entrant in the system. The injection of green, electrolytic H\({}_{2}\) into the process has the additional effect of lowering drastically the amount of CO\({}_{2}\) that would otherwise be rejected by the process. Finally, the regional concept