Non-linear boiling water reactor stability with Shannon Entropy

Olvera-Guerrero, Omar Alejandro; Prieto‐Guerrero, Alfonso; Espinosa-Paredes, Gilberto

doi:10.1016/j.anucene.2017.04.031

Cited by 17 publications

(5 citation statements)

References 23 publications

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“…Tahmasebi et al [20] proposed a new extension of cumulative residual entropy using the Shannon entropy as a measure of the uncertainty associated with the lifetime of a system. Toomaj and Doostparast [21] introduced a new concept of a stochastic order for comparing mixed systems and used cumulative residual entropy, which measures the residual uncertainty of a random variable. They applied these concepts to evaluate component lifetimes of competing systems using the Shannon entropy, in order to handle uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Interval-Valued Uncertainty Based on Entropy and Dempster–Shafer Theory

Khalaj¹,

Pasha²,

Tavakkoli–Moghaddam³

et al. 2018

JSTA

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This paper presents a new structure as a simple method at two uncertainties (i.e., aleatory and epistemic) that result from variabilities inherent in nature and a lack of knowledge. Aleatory and epistemic uncertainties use the concept of the entropy and Dempster-Shafer (D-S) theory, respectively. Accordingly, we propose the generalized Shannon entropy in the D-S theory as a measure of uncertainty. This theory has been originated in the work of Dempster on the use of probabilities with upper and lower bounds. We describe the framework of our approach to assess upper and lower uncertainty bounds for each state of a system. In this process, the uncertainty bound is calculated with the generalized Shannon entropy in the D-S theory in different states of these systems. The probabilities of each state are interval values. In the current study, the effect of epistemic uncertainty is considered between events with respect to the non-probabilistic method (e.g., D-S theory) and the aleatory uncertainty is evaluated by using an entropy index over probability distributions through interval-valued bounds. Therefore, identification of total uncertainties shows the efficiency of uncertainty quantification.

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Section: Introductionmentioning

confidence: 99%

Interval-Valued Uncertainty Based on Entropy and Dempster–Shafer Theory

Khalaj¹,

Pasha²,

Tavakkoli–Moghaddam³

et al. 2018

JSTA

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“…By tracking this IF and the SampEn of the IMF linked to instability, the estimation of the SampEnbased stability indicator is accomplished. The methodology proposed in here is a continuation of two previous works [19,20], in which a Shannon Entropy estimator [21] was used in conjunction with other members of the EMD family to study the stability of artificial and real BWR signals. In the present work the Shannon Entropy estimator was replaced by the SampEn practical formula to infer whether BWR signals are stable or not.…”

Section: Introductionmentioning

confidence: 99%

A Novel Nonlinear BWR Stability Indicator Based on the Sample Entropy

Olvera-Guerrero

Prieto‐Guerrero

Espinosa-Paredes

2018

Science and Technology of Nuclear Installations

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BWRs are thus far the simplest energy systems to transform fission energy into electrical power. However, there are still many aspects in their operation that, under certain conditions, may induce BWR unstable behavior. The default indicator to study BWR unstable behavior is the Decay Ratio (DR). However, due to the fact that BWRs show very complex responses under instability and responses that may even be chaotic, the DR might not be a suitable choice to rely on to accommodate for such intricate behavior. In this work a novel methodology based on the Sample entropy (SampEn) and the noise-assisted multivariate empirical mode decomposition (NA-MEMD) is introduced. Such methodology was developed thinking for a real time-implementation of a stability monitor. The proposed methodology was tested with a set of signals that stem from several nuclear power plants in operation today that have experienced in the past unstable events, each one of a different nature.

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“…The methodology here proposed is a continuation of a previous work [18] developed by the authors, in which a SE/iCEEMDAN technique was tested with artificial signals generated with the aid of a simple but powerful Reduced Order Model (ROM) that fits the BWR non-linear dynamic behavior.…”

Section: Introductionmentioning

confidence: 99%

“…The work presented in [18] is now expanded in here to assess the stability of real BWR signals through iCEEMDAN and NA-MEMD.…”

Section: Introductionmentioning

confidence: 99%