The parametric continuation method for determining steady state diagrams

TL;DR

This paper presents a straightforward parametric continuation method for mapping complex steady state diagrams, avoiding the need for extensive IT systems, demonstrated through reactor models with multiple steady states.

Contribution

It introduces a simple, accessible approach to determine steady state diagrams without requiring large IT infrastructure, applicable to algebraic and differential reactor models.

Findings

Effective in identifying multiple steady states

Applicable to algebraic and differential models

Simplifies steady state analysis process

Abstract

The paper discusses a simple method of using the parametric continuation method to designate complex diagrams of steady states. The main advantage of the discussed approach is the fact that it does not require the installation of huge professional IT systems. The deliberations are illustrated by examples of a reactor models described by the algebraic and differential equations. Both models render solutions in the form of the so called multiple steady states.