Structural analysis of high-index DAE for process simulation

TL;DR

This paper compares Pryce's method and the rifsimp algorithm for reducing the index of high-index differential-algebraic equations in process simulation, highlighting efficiency differences through practical examples.

Contribution

It provides a comparative analysis of two index reduction methods for high-index DAE models in process simulation, including efficiency evaluation.

Findings

Pryce's method is more efficient as the number of tanks increases.

The paper demonstrates the effectiveness of both methods on process simulation examples.

Pryce's method shows scalability advantages in complex models.

Abstract

This paper deals with the structural analysis problem of dynamic lumped process high-index DAE models. We consider two methods for index reduction of such models by differentiation: Pryce's method and the symbolic differential elimination algorithm rifsimp. Discussion and comparison of these methods are given via a class of fundamental process simulation examples. In particular, the efficiency of the Pryce method is illustrated as a function of the number of tanks in process design.