Numerical Analysis Tool for Obtaining Steady-State Solutions and Analyzing Their Stability Characteristics for Nonlinear Dynamic Systems

Abstract

Chemical processes constitute strongly nonlinear systems, and such systems typically have multiple steadystate solutions. However, it is difficult to obtain all the steady-state solutions for a given system. In addition, the various steady-state solutions are likely to differ in terms of stability, which should be taken into account for practical applications. Due to the complexity of nonlinear systems, it is difficult to solve them manually.With the widespread use of computers and information technology, several nonlinear system analysis tools have been developed, facilitating the nonlinear analysis of chemical processes. In chemical processes, steady-state solutions as well as the stability of the solutions are simultaneously considered. After a survey of several existing analysis tools, we propose an analysis tool using a browser and server architecture design that rapidly finds steady-state solutions to nonlinear dynamic equations for chemical processes and simultaneously determines the stability of these solutions.Two examples are presented to demonstrate the effectiveness of this tool.