Linear Representation and Sparse Solution for Transient Identification in Nuclear Power Plants

For the safe operation of nuclear power plants (NPPs), it is significant to promptly and correctly identify malfunctions/transients, which is difficult for the operators by monitoring the variation of important parameters. In this paper, a novel method is proposed for the transient identification in NPPs. It directly models the transients in a linear space that is represented by a matrix instead of a training process. Then a transient can be represented via a linear combination of the columns of the modeling matrix, and the coefficient vector encodes the identity of the transient. To obtain the coefficient vector, the smoothed ℓ0 -norm optimization (SL0) algorithm is adopted, where the truncated singular value decomposition (TSVD) method is combined to improve the stability. Then the identification of a transient can be accomplished by examining the property of the solution using three quantities. The proposed method can correctly classify the transients and successfully reject “unknown” types, and it is applicable under a wide range of operational conditions. It is verified by simulator data of pebble-bed modular high temperature gas-cooled reactor nuclear power plant (HTR-PM) developed by Institute of Nuclear and New Energy Technology with Tsinghua University.

[1]  Celso Marcelo Franklin Lapa,et al.  Neural and genetic-based approaches to nuclear transient identification including 'don't know' response , 2006 .

[2]  Huang Xiaojin Dynamic features of HTR-10 once through steam generator-an emulation study , 2000 .

[3]  Enrico Zio,et al.  A support vector machine integrated system for the classification of operation anomalies in nuclear components and systems , 2007, Reliab. Eng. Syst. Saf..

[4]  Hung-Jen Chang,et al.  Identification of pressurized water reactor transient using template matching , 2011 .

[5]  Christian Jutten,et al.  Robust-SL0 for stable sparse representation in noisy settings , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[6]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  Celso Marcelo Franklin Lapa,et al.  An efficient Neuro-Fuzzy approach to nuclear power plant transient identification , 2011 .

[8]  Roberto Schirru,et al.  Identification of nuclear power plant transients using the Particle Swarm Optimization algorithm , 2008 .

[9]  Xiaojin Huang,et al.  Operation and Control Simulation of a Modular High Temperature Gas Cooled Reactor Nuclear Power Plant , 2008, IEEE Transactions on Nuclear Science.

[10]  Enrico Zio,et al.  Evolutionary fuzzy clustering for the Classification of transients in nuclear components , 2005 .

[11]  D. Donoho For most large underdetermined systems of equations, the minimal 𝓁1‐norm near‐solution approximates the sparsest near‐solution , 2006 .

[12]  Davide Roverso,et al.  Plant diagnostics by transient classification: The ALADDIN approach , 2002, Int. J. Intell. Syst..

[13]  Davide Roverso Soft computing tools for transient classification , 2000, Inf. Sci..

[14]  Roberto Schirru,et al.  Intelligent soft computing in nuclear engineering in Brazil , 1999 .

[15]  Michael Elad,et al.  Stable recovery of sparse overcomplete representations in the presence of noise , 2006, IEEE Transactions on Information Theory.

[16]  Gopika Vinod,et al.  Application of artificial neural networks to nuclear power plant transient diagnosis , 2007, Reliab. Eng. Syst. Saf..

[17]  P. Ramachandran Method of fundamental solutions: singular value decomposition analysis , 2002 .

[18]  Lei Shi,et al.  Water-ingress analysis for the 200 MWe pebble-bed modular high temperature gas-cooled reactor , 2010 .

[20]  P. Baraldi,et al.  Selecting features for nuclear transients classification by means of genetic algorithms , 2006, IEEE Transactions on Nuclear Science.

[21]  Roberto Schirru,et al.  Quantum evolutionary algorithm applied to transient identification of a nuclear power plant , 2011 .

[22]  Jie Lin,et al.  Nuclear power plant transient diagnostics using artificial neural networks that allow 'don't-know' classifications , 1995 .

[23]  Enrico Zio,et al.  Bagged Ensemble of Fuzzy C Means Classifiers for Nuclear Transient Identification , 2011 .

[24]  Zhou Zhi-wei,et al.  Simulation for the Secondary Loop of the Chinese 200Mwe HTR-PM Base on Vpower , 2012 .

[25]  Yujie Dong,et al.  Current status and technical description of Chinese 2 × 250 MWth HTR-PM demonstration plant , 2009 .

[26]  Hokwon A. Cho,et al.  Some comments on the ill-conditioning of the method of fundamental solutions , 2006 .

[27]  E. Candes,et al.  11-magic : Recovery of sparse signals via convex programming , 2005 .

[28]  HansenPer Christian The truncated SVD as a method for regularization , 1987 .

[29]  E. Zio,et al.  Identification of nuclear transients via optimized fuzzy clustering , 2005 .

[30]  A. Srivastava,et al.  Diagnostic system for identification of accident scenarios in nuclear power plants using artificial neural networks , 2009, Reliab. Eng. Syst. Saf..

[31]  Man Gyun Na,et al.  Prediction of major transient scenarios for severe accidents of nuclear power plants , 2004, IEEE Transactions on Nuclear Science.

[32]  Christian Jutten,et al.  Fast Sparse Representation based on Smoothed � , 2006 .

[33]  Kee-Choon Kwon,et al.  Hidden Markov model‐based real‐time transient identifications in nuclear power plants , 2002, Int. J. Intell. Syst..

[34]  Enrico Zio,et al.  Classifier-ensemble incremental-learning procedure for nuclear transient identification at different operational conditions , 2011, Reliab. Eng. Syst. Saf..

[35]  Christian Jutten,et al.  A Fast Approach for Overcomplete Sparse Decomposition Based on Smoothed $\ell ^{0}$ Norm , 2008, IEEE Transactions on Signal Processing.

[36]  Man Gyun Na,et al.  MONITORING SEVERE ACCIDENTS USING AI TECHNIQUES , 2012 .

[37]  Poong Hyun Seong,et al.  A dynamic neural network aggregation model for transient diagnosis in nuclear power plants , 2007 .

[38]  Eric B. Bartlett,et al.  Nuclear power plant status diagnostics using an artificial neural network , 1992 .

[39]  Mark J. Embrechts,et al.  Hybrid identification of nuclear power plant transients with artificial neural networks , 2004, IEEE Transactions on Industrial Electronics.

[40]  Roberto Schirru,et al.  A neural model for transient identification in dynamic processes with “don't know” response , 2003 .

[41]  Per Christian Hansen,et al.  Analysis of Discrete Ill-Posed Problems by Means of the L-Curve , 1992, SIAM Rev..

[42]  Edoardo Amaldi,et al.  On the Approximability of Minimizing Nonzero Variables or Unsatisfied Relations in Linear Systems , 1998, Theor. Comput. Sci..