Nuclear Engineering and Technology

  • 제48권2호
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  • Pages.434-447
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  • 2016
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  • 1738-5733(pISSN)
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  • 2234-358X(eISSN)
한국원자력학회 (Korean Nuclear Society)
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Using Largest Lyapunov Exponent to Confirm the Intrinsic Stability of Boiling Water Reactors

  • Gavilan-Moreno, Carlos J. (Iberdrola Generacion, S.A., Cofrentes Nuclear Power Plant, Project Engineering Department) ;
  • Espinosa-Paredes, Gilberto (Area de ingenieria en Recursos Energeticos, Universidad Autonoma Metropolitana-Iztapalapa)
  • 투고 : 2015.07.09
  • 심사 : 2015.12.14
  • 발행 : 2016.04.25
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초록

The aim of this paper is the study of instability state of boiling water reactors with a method based in largest Lyapunov exponents (LLEs). Detecting the presence of chaos in a dynamical system is an important problem that is solved by measuring the LLE. Lyapunov exponents quantify the exponential divergence of initially close state-space trajectories and estimate the amount of chaos in a system. This method was applied to a set of signals from several nuclear power plant (NPP) reactors under commercial operating conditions that experienced instabilities events, apparently each of a different nature. Laguna Verde and Forsmark NPPs with in-phase instabilities, and Cofrentes NPP with out-of-phases instability. This study presents the results of intrinsic instability in the boiling water reactors of three NPPs. In the analyzed cases the limit cycle was not reached, which implies that the point of equilibrium exerts influence and attraction on system evolution.

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  2. Non-Linear Stability Analysis of Real Signals from Nuclear Power Plants (Boiling Water Reactors) Based on Noise Assisted Empirical Mode Decomposition Variants and the Shannon Entropy vol.19, pp.7, 2016, https://doi.org/10.3390/e19070359
  3. On the Use of Interval Extensions to Estimate the Largest Lyapunov Exponent from Chaotic Data vol.2018, pp.None, 2016, https://doi.org/10.1155/2018/6909151
  4. Time Series Analysis for BWR Stability Studies vol.206, pp.4, 2016, https://doi.org/10.1080/00295450.2019.1662668