Identification of magnetic deposits in 2-D axisymmetric eddy current models via shape optimization. Issue 8 (12th October 2016)

• Record Type: Journal Article
• Authors: Jiang, Zixian; Haddar, Houssem; Lechleiter, Armin; El-Guedri, Mabrouka
• Is Part Of: Inverse problems in science and engineering. Volume 24:Issue 8(2016)
• Page Start: 1385
• Page End: 1410
• Publication Date: 2016-10-12
• Subjects: 2-D axisymmetric eddy current model -- shape optimization -- boundary regularization; 49N45 -- 49Q10; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2015.1110581
• Languages: English
• ISSNs: 1741-5977

Abstract

Abstract : The non-destructive control of steam generators is an essential task for the safe and failure-free operation of nuclear power plants. Due to magnetite particles in the cooling water of the plants, a frequent source for failures are magnetic deposits in the cooling loop of steam generators. From eddy current signals measured inside a U-tube in the steam generator, we propose and analyze a regularized shap optimization algorithm to identify magnetic deposits outside the U-tube with either known or unknown physical properties. Motivated by the cylindrical geometry of the U-tubes we assume an axisymmetric problem setting, reducing Maxwell's equations to a 2-D elliptic eddy current problem. The feasibility of the proposed algorithms is illustrated via numerical examples demonstrating in particular the stability of the method under noise.