A heater for a semiconductor wafer has first-order dynamics, that is, the transfer function relating changes in
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where K has units [C/Kw] andÏhas units [min].
The process is at steady state when an engineer changes the power input step wise from 1 to 2 kW. She notes the following:
(i) The process temperature initially is 100 C.
(ii) Four minutes after changing the power input, the temperature is 400C.
(iii) Thirty minutes later the temperature is 500C.
(a) What are K and Ï in the process transfer function?
(b) If at another time the engineer changes the power input linearly at a rate of 0.5 kW/min, what can you say about the maximum rate of change of process temperature: When will it occur? How large will it be?
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Related Book For
Process Dynamics and Control
ISBN: 978-1119385561
4th edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle
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