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Abstract.
The starting point for this study was an incident in an industrial
plant, where the ammonia synthesis reactor became unstable with rapid
temperature oscillations (limit cycles) in the range from about 300�C
to 500�C. A simple dynamic model reproduces this behavior. In industry
a steady-state Van Heerden analysis is often used to analyze the
stability, but a more careful analysis for this reactor system reveals
that instability occurs when there still is positive steady-state
margin, namely as a pair of complex conjugate poles cross the
imaginary axis (Hopf bifurcation). This is consistent with the
observations where the instability manifests itself as oscillations
rather than extinction of the reaction. This somewhat unusual behavior
can be explained by the presence of an inverse response for the
temperature response through the reactor beds combined with the
positive feedback caused by the preheater.
Note: This version may be slightly different from the finally published journal paper.