Di-methyl-ether (DME) has been received much attention because of its key features. It can be produced from any carbon-rich feedstock through the conversion of carbonaceous material to synthesis gas (syngas) and then to DME via indirect or direct route.

In the current paper, the DME reactor is modeled and the effect of reactor staging on the reactor productivity and a measure of annual profit is investigated. Different number of stages, inlet syngas composition, and direct/indirect DME synthesis routes from syngas was considered.

For the direct DME synthesis with an inlet syngas H₂/(CO + CO₂) of 2.33 and maximization of DME production as the objective function, staging of a DME reactor (with total volume of 100 m³) to two and three stages increases the reactor productivity by 23.4% and 26.9%, respectively. In each case, the volumes of stages are included in the optimization. If the volumes of stages set to be equal (2 × 50 m³ or 3 × 33.33 m³), the reactor productivity of the two- and three-stage systems becomes 17.3% and 22.5% higher than the single-stage reactor. When the inlet H₂/(CO + CO₂) is set to 1, sectioning the DME reactor to stages increases the reactor productivity as well.

For the indirect DME production route, the optimization results indicate that the DME production rates of the two- and three-stage cases are lower than the direct route.

The profitability index of the two- and three-stage reactor systems is 65.53% and 72.35% higher than the single-stage reactor. This is because of higher DME production and lower heat transfer area requirement of the staged configurations.

二甲基醚（DME）由于其关键特性而备受关注。它可以由任何富含碳的原料通过将碳质材料转化为合成气（合成气），然后通过间接或直接途径转化为DME来生产。

在本文中，对DME反应堆进行了建模，并研究了反应堆分级对反应堆生产率的影响以及年利润的衡量方法。考虑了不同数量的阶段，入口合成气组成以及来自合成气的直接/间接DME合成路线。

对于直接合成DME （入口合成气H ₂ /（CO + CO ₂）为2.33）和以DME产量最大化为目标函数，将DME反应器（总体积为100 m ³）的阶段数增加为两个和三个阶段反应器生产率分别提高了23.4％和26.9％。在每种情况下，阶段的数量都包含在优化中。如果将级数设置为相等（2×50 m ³或3×33.33 m ³），则两级和三级系统的反应器生产率将比单级反应器高出17.3％和22.5％。当进水口H ₂ /（CO + CO ₂）设置为1，将DME反应器分段划分为多个阶段也可以提高反应器生产率。

对于间接DME生产路线，优化结果表明，两阶段和三阶段案例的DME生产率低于直接路线。

两级和三级反应器系统的获利指数分别比单级反应器高65.53％和72.35％。这是因为分阶段配置的DME产量更高且传热面积要求更低。