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Automatic initial value generation procedure for nonlinear process models by interval arithmetic based cutting and splitting
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DOI：10.1016/j.compchemeng.2024.108672.png)
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Abstract
En 中文
To solve large nonlinear equation systems, we present a hybrid method based on interval arithmetic and realvalued root -finding. The proposed approach includes two new interval arithmetic based methods, the so-called cutting and a special kind of bisection of consistent variable spaces. Applied to three examples from chemical engineering, it is shown that the approach is now able to find all system solutions within a variable space as well as only one process -relevant solution in much less time thanks to the built-in root -finding step. For the latter, a conventional Newton method as well as IPOPT have been examined. The hybrid approach no longer needs a well -estimated initial point to converge to a solution, only rough initial variable bounds are required.
Keywords:
Interval arithmetic
Nonlinear solver
Initialization
Convergence
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