以130 tds/d碱回收炉为研究对象，考虑炉膛温度、烟气含氧量、炉膛压力之间的耦合关系及其与入炉黑液流量、送风量、引风量之间的非线性关系，运用物料平衡与能量平衡原理，建立了碱回收燃烧过程面向控制的动态数学模型。对所得模型进行了动态特性分析，表明该模型与实际生产情况吻合，可以反映碱回收炉的现场运行状况。利用相对增益矩阵对系统进行了关联度分析，可将三入三出控制系统分解为一个两入两出的耦合系统与一个单入单出的控制系统，从而可简化碱回收炉控制系统的设计，为碱回收炉控制策略及控制方案的制定提供了一定的理论依据。

The 130 tds/d alkali recovery boiler is taken as the research object, the nonlinear relationship and the coupling relationship between boiler temperature, oxygen content, furnace pressure and the boiler black liquor flow, supplying air, air exhaust is considered, the principle of material balance and energy balance is used, and a control oriented dynamic mathematical model of the alkali recovery combustion process is established. The dynamic characteristics of the model are analyzed, results show that the model is consistent with the actual production, which can reflect the field operation of the alkali recovery boiler. The relative gain matrix is used to analyze the correlation degree of the system, and the three-input-three-output system can be decomposed to a two-in-two-out coupling system and a SISO control system, which can simplify the design of the alkali recovery boiler control system, providing a theoretical basis for the control strategy and control scheme of the alkali recovery boiler.