Reactive batch distillation (RBD) is a preferred process intensification technology to carry out equilibrium-limited reactions. It is a multicomponent, multiphase system. Appropriate process description requires dynamic modeling of coupled thermodynamics and transport phenomena including the chemical reactions. Such models are barely applicable to online model based operation technology such as model predictive control, real-time optimization and online process monitoring. Therefore, in this paper, the rigorous dynamic model of an RBD is transformed into a set of decoupled ordinary differential equations using linear transformation matrices, called extent transformation, that preserve the physical meaning of the transformed variables. The resulting model has a state space representation with a diagonal state matrix. This representation is suitable for control purposes and can be considered as a linear parameter varying system. Based on the final structure of the model, controllability conditions are stated, and model reduction scenarios are proposed. Finally, the model based on extent transformations is compared with the rigorous nonlinear model via the simulation of a polyesterification process.

反应性间歇蒸馏（RBD）是进行平衡受限反应的首选工艺强化技术。它是一个多组分，多相系统。适当的过程描述要求对耦合的热力学和传输现象（包括化学反应）进行动态建模。这样的模型几乎不适用于基于在线模型的操作技术，例如模型预测控制，实时优化和在线过程监视。因此，在本文中，RBD的严格动力学模型使用线性转换矩阵（称为范围转换）转换为一组解耦的常微分方程组，该线性转换矩阵保留了转换变量的物理含义。结果模型具有带对角线状态矩阵的状态空间表示。此表示适用于控制目的，可以视为线性参数变化系统。基于模型的最终结构，陈述了可控性条件，并提出了模型简化方案。最后，通过模拟聚酯化过程，将基于程度转换的模型与严格的非线性模型进行了比较。