Flux Shape Mode Transfer Function for a Nuclear Reactor

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With particular reference to the fundamental mode of Xe oscillation, the characteristic roots of the rational function (two-dimensional analysis) and the transcendental function (one-dimensional analysis) are compared by changing the reactivity coefficient of the moderator. The root-loci of the two analytical methods agree well with each other. Concerning this root-loci, one should note that there are two roots which change very much, and that the stability of the mode is essentially determined by these roots. The cause of the difference of the functional form lies in the thermal system. To confirm the above results, the frequency responses of the thermal system, therefore, were compared between the two methods. Very good agreement was again obtained.<BR>To verify the validity of this modal analysis, the characteristic roots are compared with the time response of the first azimuthal mode obtained at Berkeley power station. The calculated roots roughly agree with the experimental value.<BR>Miida et al. have reported on a case where the frequency responses of the rational function and the transcendental function differ from each other in the high frequency region. An examination of this case revealed that the most important factor is whether or not the angular velocity approaches the essential singular point.
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