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Application of Trial Functions

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Reactor Core Monitoring

Part of the book series: Lecture Notes in Energy ((LNEN,volume 58))

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Abstract

The actual temperature rises in the fuel assemblies depend on the state of the unit. In the computational model only an ideal state can be given, that state is close to the actual core state. To account for the difference between the actual core state and the ideal state, we correct the ideal state by a set of functions, the so-called trial functions. The most important trial function is the ideal state supplied by the computational model. Further trial functions account for corrections in control rod position, flow rate changes in MCPs.

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Notes

  1. 1.

    It can be shown that only the one-sided continuity is needed.

  2. 2.

    The probability that equal values occur is zero.

  3. 3.

    When one-sided upper tolerance limit is needed then (5.15) is replaced by

    $$\begin{aligned} \frac{1}{\sqrt{2\pi }} \int _{-\infty }^{\mu +q} e^{-x^2/2} dx=\gamma . \end{aligned}$$

    .

References

  1. Chen, J.: On the interaction between fuel crud and water chemistry in nuclear power plants. SKI report, Studwik Material AB, Sweden (2000)

    Google Scholar 

  2. Hee, M.: Chung: fuel behaviour under loss-of-coolant accident situations. Nucl. Eng. Technol. 37(4), 327–362 (2005)

    Google Scholar 

  3. Boyack, B.E.: Quantifying reactor safety margins, part 1: an overview of the code scaling, applicability, and uncertainty evaluation methodology. Nucl. Eng. Des. 119, 1–15 (1990)

    Article  Google Scholar 

  4. Wilson, G.E., Boyack, B.E.: Quantifying reactor safety margins, part 2: characterization of important contributors to uncertainty. Nucl. Eng. Des. 119, 17–31 (1990)

    Article  Google Scholar 

  5. Wulff, W., Boyack, B.E.: Quantifying reactor safety margins, part 3: assessment and ranging of parameters. Nucl. Eng. Des. 119, 33–65 (1990)

    Article  Google Scholar 

  6. Lellouche, G.S., Levy, S.: Quantifying reactor safety margins, part 4: quantifying reactor safety margins part 4: Uncertainty evaluation of lbloca analysis based on trac-pf1/mod 1. Nucl. Eng. Des. 119, 67–95 (1990)

    Article  Google Scholar 

  7. Wilson, G.E.: Quantifying reactor safety margins part 5: evaluation of scale-up capabilities of best estimate codes. Nucl. Eng. Des. 119, 97–107 (1990)

    Article  Google Scholar 

  8. Pál, L., Makai, M.: Statistical Considerations on Safety Analysis. arXiv:physics/0511140v1 [physics.data-an] (2005)

  9. Casti, J.L.: Nonlinear System Theory. Academic Press, New York (1985)

    MATH  Google Scholar 

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Correspondence to Mihály Makai .

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Makai, M., Végh, J. (2017). Application of Trial Functions. In: Reactor Core Monitoring. Lecture Notes in Energy, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-319-54576-9_5

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  • DOI: https://doi.org/10.1007/978-3-319-54576-9_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54575-2

  • Online ISBN: 978-3-319-54576-9

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