Two different projection operators are found, projecting the state space of a continuous stirred tank reactor (C.S.T.R.) dynamic model on the space of asymptotically invariant states (or on the space of true invariant states for a batch reactor). The first projection gives an explicit expression for
The control of a stirred tank reactor with hysteresis in the control element - II describing function analysis
✍ Scribed by Jae Chun Hyun; Rutherford Aris
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 699 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0009-2509
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✦ Synopsis
The method of the describing function is outlined and applied both to the linear problem and to the stirred tank. The hysteresis element is separable and the assumption is made that the signals to it are of sinusoidal form when the reactor is operating with a limit cycle. In spite of the shakiness of this assumption the agreement between calculated and estimated frequencies is very good and the agreement in amplitude good for small hysteresis. It is concluded that the method may be usefully applied to reactor problems when limit cycles are likely to be present.
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