Abstract
Theory of space-dependent at-power reactor noise is developed in order to evaluate the effect of spatial higher harmonics and feedback on the power spectral density of fluctuations. Their analyses in the framework of two-group diffusion model are important to understand the basic pattern of the power spectral density in normal operating condition. The stochastic integro-differential equations for fluctuations, which is a modified one-group model having the temperature feedback of fuel and coolant, are solved accordingly to Saito's solving procedure with use of the prompt spread approximation. All the transfer functions, which are relevant to contributing the power spectral density of fluctuation, are obtained in the form of modal expansion. The following information can be extracted from the obtained transfer functions: (1) the effect of the spatial higher harmonics on the profiles of the transfer functions plays an important role in connection with the global and local concept; (2) when feedback is relevant, the fluctuations can not be decomposed into two parts, viz. the global and the local components. Consequently, the explicit one-to-one correspondence between the noise components and the global and local concept can not be established.
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