基于独立物流的组分流率与总流率平衡的数据校正新方法

New Method for Bilinear Data Reconciliation Based on the Material Balance between Independent Flows and Independent Component Flows

在分析适于双线性约束的Simpson法基本原理的基础上,指出了该方法直接用于多组分过程数据校正不满足组分流率与总流率平衡约束的缺陷。同时,为充分利用基于独立物流的Simpson法简单、快速、准确的优点,通过在目标函数中引入组分独立物流与总独立物流平衡的约束条件,推导给出了新的计算方法。实例对比研究表明,新方法克服了Simpson法的缺陷,且新方法与常用的投影矩阵法相比具有较高的精度。

Among the specialized techniques for bilinear data reconciliation problems the independent flow method developed by Simpson et al. is well known in terms of both accuracy and efficiency. However, according to our study, the Simpson抯 method has the defect that its reconciliation results don抰 satisfy the material balance between the independent flows and independent component flows. To overcome the limitation of Simpson抯 method but retaining its accuracy of solution, a new method was presented. In the new method proposed, the relationship between independent flows and independent component flows was introduced into the objective function. As a result, the conservation laws and the normalization equations are obeyed. Using an industrial process as an example, the accuracy of the new method proposed and the most typical Crowe抯 projection method were compared. The comparison results show that the new method satisfies the material balance completely and gives a more accurate result than Crowe抯 method.