• Title/Summary/Keyword: Differential Transformation

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Fault Line Detection Methodology for Four Parallel Lines on the Same Tower

  • Li, Botong;Li, Yongli;Yao, Chuang
    • Journal of Electrical Engineering and Technology
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    • v.9 no.4
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    • pp.1217-1228
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    • 2014
  • A method for faulted line detection of four parallel lines on the same tower is presented, based on four-summing and double-differential sequences of one terminal current. Four-summing and double-differential sequences of fault current can be calculated using a certain transformation matrix for parameter decoupling of four parallel transmission lines. According to fault boundary conditions, the amplitude and phase characteristics of four-summing and double-differential sequences of fault current is studied under conditions of different types of fault. Through the analysis of the relationship of terminal current and fault current, a novel methodology for fault line detection of four parallel transmission line on the same tower is put forward, which can pick out the fault lines no matter the fault occurs in single line or cross double lines. Simulation results validate that the methodology is correct and reliable under conditions of different load currents, transient resistances and fault locations.

Transformation Behavior of Ti-(45-x)Ni-5Cu-xCr (at%) (x = 0.5-2.0) Shape Memory Alloys

  • Im, Yeon-Min;Jeon, Young-Min;Kim, Min-Su;Lee, Yong-Hee;Kim, Min-Kyun;Nam, Tae-Hyun
    • Transactions on Electrical and Electronic Materials
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    • v.12 no.1
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    • pp.28-31
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    • 2011
  • Transformation behavior and shape memory characteristics of Ti-(45-x)Ni-5Cu-xCr (x=0.5-2.0) alloys have been investigated by means of electrical resistivity measurements, differential scanning calorimetry, X-ray diffraction and thermal cycling tests under constant load. Two-stage B2-B19-B19' transformation occurred in Ti-(45-x)Ni-5Cu-xCr alloys. The B2-B19 transformation was separated clearly from the B19-B19' transformation in Ti-44.0Ni-5Cu-1.0Cr and Ti-43.5Ni-5Cu-1.5Cr alloys. A temperature range where the B19 martensite exists was expanded with increasing Cr content because decreasing rate of Ms (85 K / % Cr) was larger than that of Ms' (17 K / % Cr). Ti-(45-x)Ni-5Cu-xCr alloys were deformed in plastic manner with a fracture strain of 68% ~ 43% depending on Cr content. Substitution of Cr for Ni improves the critical stress for slip deformation in a Ti-45Ni-5Cu alloy due to solid solution hardening.

Scaling laws for vibration response of anti-symmetrically laminated plates

  • Singhatanadgid, Pairod;Ungbhakorn, Variddhi
    • Structural Engineering and Mechanics
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    • v.14 no.3
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    • pp.345-364
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    • 2002
  • The scaling laws for vibration response of anti-symmetrically laminated plates are derived by applying the similitude transformation to the governing differential equations directly. With this approach, a closed-form solution of the governing equations is not required. This is a significant advantage over the method employed by other researchers where similitude transformation is applied to the closed-form solution. The scaling laws are tested by comparing the similitude fundamental frequencies to the theoretical fundamental frequencies determined from the available closed-form solutions. In case of complete similitude, similitude solutions from the scaling laws exactly agree with the theoretical solutions. Sometimes, it may not be feasible to select the model which obeys the similarity requirement completely, therefore partial similitude is theoretically investigated and approximate scaling laws are recommended. The distorted models in stacking sequences and laminated material properties demonstrate reasonable accuracy. On the contrary, a model with distortion in fiber angle is not recommended. The derived scaling laws are very useful to determine the vibration response of complex prototypes by performing the experiment on a model with required similarities.

Characterization of Co-Ni Based Ferromagnetic Shape Memory Alloy (자성 Co-Ni 계 형상기억합금의 특성)

  • Han, Ji-Won;Park, Sung Bum
    • Journal of the Korean Society of Safety
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    • v.30 no.4
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    • pp.8-13
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    • 2015
  • The magnetic shape memory alloys have recently received a lot of attention due to the considerable progress achieved in understanding the particular importance and the development of the factors. Among these alloys, the ferromagnetic Co-Ni- alloys have been concerned specially because of the thermoelastic character of the fcc (g) - bct (a) martensitic transformation which exhibits under the action of the temperature (shape memory effect), the stress (superelasticity) and the magnetic field (magnetoelasticity). The morphological, the crystallographical, and the thermal characteristics of thermally induced martensite in Co-35.3Ni-11.3Al(wt.%) and Co-28.1Ni-47.4Fe-3.3Ti (wt.%) alloy have been investigated by the scanning electron microscope (SEM), the X-ray Diffraction (XRD), and the differential scanning calorimeter (DSC).

Canonical Transformations for Time-Dependent Harmonic Oscillators

  • Park, Tae-Jun
    • Bulletin of the Korean Chemical Society
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    • v.25 no.2
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    • pp.285-288
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    • 2004
  • A canonical transformation changes variables such as coordinates and momenta to new variables preserving either the Poisson bracket or the commutation relations depending on whether the problem is classical or quantal respectively. Classically canonical transformations are well established as a powerful tool for solving differential equations. Quantum canonical transformations have been defined and used relatively recently because of the non-commutativeness of the quantum variables. Three elementary canonical transformations and their composite transformations have quantum implementations. Quantum canonical transformations have been mostly used in time-independent Schrodinger equations and a harmonic oscillator with time-dependent angular frequency is probably the only time-dependent problem solved by these transformations. In this work, we apply quantum canonical transformations to a harmonic oscillator in which both angular frequency and equilibrium position are time-dependent.

Polymorphism of Q-35 (Balofloxacin) (Q-35(발오플록사신)의 결정다형)

  • Sohn, Young-Taek;Chun, He-Ryun
    • Journal of Pharmaceutical Investigation
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    • v.31 no.2
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    • pp.119-123
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    • 2001
  • Six polymorphic modifications of Balofloxacin (Q-35) were obtained by the recrystallization from different organic solvents and characterized by differential scanning calorimetry (DSC), X-ray powder diffraction (XRPD). The dissolution patterns of these six modifications were also checked in distilled water at $37{\pm}0.5^{\circ}C$, 50 rpm for 60 minutes. The polymorphic modifications showed significant differences in the dissolution rate. The dissolution rate of Mod. 1 was faster than that of other polymorphic modifications. The transformation during storage was also studied.

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The Detection of the Lane Curve using the Lane Model on the Image Coordinate Systems (이미지 좌표계상의 차선 모델을 이용한 차선 휨 검출)

  • 박종웅;이준웅;장경영;정지화;고광철
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.1
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    • pp.193-200
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    • 2003
  • This paper proposes a novel algorithm to recognize the curve of a structured road. The proposed algorithm uses an LCF (Lane Curve Function) obtained by the transformation of a parabolic function defined on world coordinate into image coordinate. Unlike other existing methods, the algorithm needs no transformation between world coordinate and image coordinate owing to the LCF. In order to search for an LCF describing the lane best, the differential comparison between the slope of an assumed LCF and the phase angle of edge pixels in the LROI (Lane Region Of Interest) constructed by the LCF is implemented. As finding the true LCF, the lane curve is determined. The proposed method is proved to be efficient through various kinds of images, providing the reliable curve direction and the valid curvature compared to the real road.

Crystal Form of A Camptothecin Derivative (Camptothecin 유도체의 결정형)

  • Sohn, Young-Taek;Moon, Hyun-Young
    • Journal of Pharmaceutical Investigation
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    • v.32 no.2
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    • pp.81-85
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    • 2002
  • Three polymorphic modifications of CKD-602, water soluble derivative of camptothecin, were obtained by the recrystallization from different organic solvents and characterized by differential scanning calorimetry (DSC), thermogravimetric analysis (TGA) and X-ray powder diffraction (XRPD). The major endothermic peaks of the DSC curve of Form 1, Form 2 and Form 3 was shown at $268.71^{\circ}C$, $247.83^{\circ}C$, $244.76^{\circ}C$, respectively. Form 2 was elucidated to be an acetic acid solvate and Form 3 was elucidated to be a methanol solvate. The dissolution patterns of these three modifications were also checked in distilled water at $37{\pm}0.5^{\circ}C$, for 30 minutes. The polymorphic modifications showed differences in the dissolution rate. The dissolution rate of Form 1 was faster than that of other polymorphic modifications. When stored at different relative humidity over the period of 3 months, all of the polymorphic modifications did not undergo transformation.

Characteristics of Aging of Ni-Ti Alloy Used for Implant Fabrications(I) (생체주입용 Ni-Ti 합금의 시효특성(I))

  • Cho, Hyung-June;Lee, Jun-Hee;Park, Ki-Ryoung
    • Journal of Biomedical Engineering Research
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    • v.10 no.3
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    • pp.261-268
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    • 1989
  • The characteristics of aging of near-equiatomic Ni-Ti alloy has been studied by the three point bend test and the measurement of Differential Scanning Calorimetry(DSC). The DSC is used to measure precise transformation temperatures and the amount of thermal energy required for the corresponding phase transformation. The effort of hardness on aging treatment in saline solution of $37^{\circ}C$ was higher for the annealed than solution treated specimens. As the testing temperature inc- rease from under $M_f$ to above $A_f$ temperature, the elastic stiffness increased. Almost full recovery can be achieved after bending below Belo outer fiber strain. Total bend recovery decreased gradually as aging time and bend angle is increased.

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Diffraction Characteristics of Mechanically Alloyed Nanocrystalline FeAl (기계적합금화한 FeAl 나노결정립의 회절특성)

  • Choi, Keun-Seob;Kim, Do-Hyang;Hong, Kyung-Tae
    • Applied Microscopy
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    • v.27 no.4
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    • pp.473-481
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    • 1997
  • Disorder-order transformation of nanocrystalline FeAl have been investigated by a combination of electron and X-ray diffraction analysis including high resolution electron microscopy and differential scanning calorimetry. Fe-50at.%Al powders mechanically alloyed for 90 hours consist of $5\sim10$ nm size grains haying either disordered b.c.c. structure or amorphous structure. X-ray and electron diffraction of mechanically alloyed FeAl powders show that disorder-order transformation occurs at the temperature range of $300^{\circ}C\sim320^{\circ}C$. Such a low-temperature ordering behavior exhibiting an exothermic reaction is attributable to the nm-scale grain structure with a large amount of defects accumulated during mechanical alloying process.

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