Nonlinear model-based control of the Czochralski process IV: Feedforward control and its interpretation from the crystal grower׳s view

Neubert, Michael; Winkler, J.

doi:10.1016/j.jcrysgro.2014.07.003

Cited by 14 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…But since this layer is not modelled here this approximation is used. It simply reflects the heuristic assumption that the closer the interface to the hot melt, the more the crystallization is inhibited [22].…”

Section: Heat Transport In Model Imentioning

confidence: 97%

Inverse response behaviour in the bright ring radius measurement of the Czochralski process I: Investigation

Bukhari¹,

Hovd²,

Winkler

2021

Journal of Crystal Growth

View full text Add to dashboard Cite

Section: Heat Transport In Model Imentioning

confidence: 97%

Inverse response behaviour in the bright ring radius measurement of the Czochralski process I: Investigation

Bukhari¹,

Hovd²,

Winkler

2021

Journal of Crystal Growth

View full text Add to dashboard Cite

“…[110]. [111], based on a mathematical description regarding the most important qualitative dependencies between the relative changes of manipulated and controlled variables during growth. Section 28.2.1), most often some empirical corrections (e.g., in Ref.…”

Section: Feed-forward Controlmentioning

confidence: 99%

Automation of Crystal Growth from Melt

Winkler

Neubert

2015

Handbook of Crystal Growth

View full text Add to dashboard Cite

“…An approach trying to circumvent this problem is proposed in [78], basing on a mathematical description regarding the most important qualitative dependences between the relative changes of manipulated and controlled variables during growth. For a certain thermal setup this approach allows to easily calculate reference trajectories for dierent crystal shapes and growth rates.…”

Section: Feed-forward Controlmentioning

confidence: 99%

A Review of the Automation of the Czochralski Crystal Growth Process

2013

Self Cite

View full text Add to dashboard Cite

On the occasion of the centennial of the invention of the Czochralski crystal growth process by the Polish scientist Jan Czochralski, a review of selected strategies for the automatic control of this process is given. This review provides a sketch of the fundamental challenges of controlling the Czochralski process and the basic concepts of feedback control. Both early and modern approaches to the control of the Czochralski process are described.The discussion focuses on questions related to feed-forward control, feedback control, and state estimation. The presented methods rely on simple mathematical process models in contrast to the nite element model-based approaches typically used in crystal growth process design and analysis. Such mathematical models motivate both the structure and parameters of the chosen controller. A comprehensive list of references to background literature on this topic completes this survey.

show abstract

Nonlinear model-based control of the Czochralski process IV: Feedforward control and its interpretation from the crystal grower׳s view

Cited by 14 publications

References 18 publications

Inverse response behaviour in the bright ring radius measurement of the Czochralski process I: Investigation

Inverse response behaviour in the bright ring radius measurement of the Czochralski process I: Investigation

Automation of Crystal Growth from Melt

A Review of the Automation of the Czochralski Crystal Growth Process

Contact Info

Product

Resources

About