Mode-Based Frequency Response Analysis With Frequency-Dependent Material Properties

Author(s):  
Andrzej Bajer

A new algorithm for mode-based frequency response analysis, which takes into account frequency-dependent material properties, is proposed. First, the projection subspace is determined by computing the eigenmodes of the system. If the AMLS-type eigensolver is used and the frequency-dependent material is confined to a limited area (often less than 1% of the whole model), eigenmodes are computed only in the region with the frequency-dependent material. Next, during the frequency response analysis portions (corresponding to the frequency-dependent material) of the stiffness, viscous damping, and structural damping operators are computed and projected onto the modal subspace. The original contribution of this paper is the algorithm, which augments the projected operators (stiffness, viscous damping, or structural damping) by the contributions from the area with the frequency-dependent material properties without the need to recompute the operator over the whole domain. This algorithm was successfully implemented in a commercial finite element code, Abaqus 6.8. The results for a vehicle body-in-prime model show good agreement with a direct-solution frequency response analysis. In the addition, the cost of the proposed algorithm is a fraction of the directsolution analysis.

2017 ◽  
Vol 20 (K3) ◽  
pp. 5-10
Author(s):  
Khoi Dinh Anh Pham

Although the standard Frequency Response Analysis (FRA) test has been approved as an efficient tool to diagnose mechanical failures in power transformers, the demand to interpret FRA traces in practical and physical way is still requested. That means physical electrical parameters of transformers should be determined reasonably based on real measurements and afterwards are applicable for the interpretation. For purpose of FRA interpretation in practical manner, electrical parameters of power transformers in a physical equivalent circuit should be determined. As a first step, the paper introduces a new approach in determining frequency dependent core impedances of a distribution transformer based on the combination of circuit analysis of a duality-based model, measurements of driving-point impedances and experimental formulas. From that, two important contributions can be drawn. Firstly, frequency dependent core impedances are ready as available components in the circuit for FRA interpretation in broad frequency range. Secondly, the core parameters could be useful indicators for detecting relevant failures in cases there is no more failure on transformer windings.


2017 ◽  
Vol 20 (K3) ◽  
pp. 11-17
Author(s):  
Khoi Dinh Anh Pham

For a practical Frequency Response Analysis (FRA) interpretation applicable to power transformers, frequency dependent electrical parameters of the core and windings in broad frequency range should be identified through non-destructive measurements. Since the core parameters are determined in Part I, electrical parameters of windings (resistances, capacitances) and leakage paths surrounding windings (leakage/zero-sequence impedances) of a distribution transformer will be discussed in this paper. Due to the fact that most parameters associated with the windings currently can only be measured at or around power frequency through diagnostic testing methods, the practical parameter-based FRA interpretation is not possible. To deal with this problem, the paper proposes a new approach based on the combination of different measured driving-point impedances and relevant analysis of the duality-based equivalent circuit in determining frequency dependent parameters associated with transformer windings. Results show that the physical FRA interpretation can be reasonable obtained for the test transformer in low and medium frequency range.


Energies ◽  
2018 ◽  
Vol 11 (4) ◽  
pp. 826 ◽  
Author(s):  
Song Wang ◽  
Ze Guo ◽  
Ting Zhu ◽  
Hanke Feng ◽  
Shuhong Wang

Multi-conductor transmission line (MTL) model of power transformer winding for frequency response analysis (FRA) has been successfully applied for the purpose of studying the characteristics of winding deformations. Most of the time it is considered that, at a frequency above 10 kHz, the flux does not penetrate the core, and the iron core losses due to hysteresis and eddy current can be neglected accordingly. However, in fact, there is still a little flux residing in the core, and it has a significant influence on inductances and resistances of transformer winding even up to approximately 1 MHz. In this paper, by introducing the anisotropic complex permeability of the lamination core into calculating inductances and resistances of the MTL model, a new MTL model considering the frequency-dependent property of the lamination core for FRA is presented. In addition, the accuracy and effectiveness of the MTL model are validated by means of a comparison between measured and emulated FRA results in a wide frequency range from 10 Hz up to 10 MHz. This precise MTL model of the transformer winding provides us a more objective and positive condition for simulation research of winding deformation detection.


2012 ◽  
Vol 132 (8) ◽  
pp. 630-637
Author(s):  
Toru Wakimoto ◽  
Yoshimitsu Takahashi ◽  
Norihito Kimura ◽  
Yukitoshi Narumi ◽  
Naoki Hayakawa

2009 ◽  
Vol 129 (4) ◽  
pp. 517-525 ◽  
Author(s):  
Satoru Miyazaki ◽  
Yoshinobu Mizutani ◽  
Hiroshi Suzuki ◽  
Michiharu Ichikawa

2016 ◽  
Vol 136 (7) ◽  
pp. 654-662
Author(s):  
Satoru Miyazaki ◽  
Yoshinobu Mizutani ◽  
Akira Taguchi ◽  
Junichi Murakami ◽  
Naokazu Tsuji ◽  
...  

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