• Title/Summary/Keyword: Flux matrix

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Numerical solution of static and spatial kinetics self-adjoint angular flux neutron transport equation

  • Duoyu Jiang;Peng Xu;Tianliang Hu;Xinbiao Jiang;Lipeng Wang;Lu Cao;Da Li;Lixin Chen
    • Nuclear Engineering and Technology
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    • v.56 no.11
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    • pp.4551-4562
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    • 2024
  • This paper elucidates a comprehensive derivation of the variational formulation pertaining to the static and spatial kinetics self-adjoint angular flux (SAAF) neutron transport equation. The methodology employed for discretization of the spatial variable is the finite element method, while the energy group discretization is executed via the group method, and the directional discretization is conducted using the discrete ordinates method. Analytic expressions for the discretization to variable separation under both vacuum and reflective boundary conditions are furnished. Constructed upon the MOOSE framework, a code designated as SAAFCGSN has been developed for the resolution of the SAAF neutron transport equation. The zero-order scattering matrix within this computational framework is managed through an innovative "decoupling" method, thereby enhancing the computational efficiency significantly. The functionality and robustness of the SAAFCGSN code are corroborated through meticulous evaluation involving seven distinct steady-state scenarios as well as two transient states. Empirical outcomes verify the compatibility of the SAAFCGSN code with both structured and unstructured mesh, inclusive of their amalgamations, thus facilitating maintenance and ensuring elevated computational accuracy. In addition, a performance analysis benchmarked against IAEA standards reveals that the adoption of the scattering matrix "decoupling" method propels a computational speed increase exceeding 30 %, signifying a notable advancement in calculation efficiency.

Penetration Enhancement of β2-Selective Agonist, Tulobuterol, Across Hairless Mouse Skin

  • Kim, Byung-Do;Choi, Hoo-Kyun
    • Journal of Pharmaceutical Investigation
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    • v.33 no.2
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    • pp.79-84
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    • 2003
  • The effects of various pressure sensitive adhesives (PSA) and enhancers on the percutaneous absorption of tulobuterol were investigated. The permeation rate of tulobuterol through hairless mouse skin from various adhesives was evaluated using a flow-through diffusion cell system at $37^{\circ}C$. The permeability of tulobuterol was variable depending on the physicochemical property of the PSA. The permeation rate of tulobuterol from polyethylene oxide grafted acrylic adhesive matrix was higher than that from other PSA matrices. The flux of tulobuterol was $4.37{\pm}0.34\;{\mu}g/hr/cm^2$ from polyethylene oxide grafted acrylic adhesive matrix. When the effects of various enhancers on the percutaneous absorption of tulobuterol from grafted acrylic adhesive were evaluated, Plurol $oleique^{\circledR}$ showed higher flux than all other enhancers tested.

Hydrophilic Modification of Polypropylene Hollow Fiber Membrane by Dip Coating, UV Irradiation and Plasma Treatment

  • Kim Hyun-Il;Kim Jin Ho;Kim Sung Soo
    • Korean Membrane Journal
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    • v.7 no.1
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    • pp.19-27
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    • 2005
  • PP hollow fiber membrane was hydrophilized by EVOH dip coating followed by low temperature plasma treatment and UV irradiation. EVOH coating attained high water flux without any prewetting but its stability did not guaranteed at high water permeation rate. At high water permeation rate, water flux declined gradually due to swelling and delamination of the EVOH coating layer causing pore blocking effect. However, plasma treatment reduces the swelling, which suppress delamination of the EVOH coating layer from PP support result in relieving the flux decline. Also, UV irradiation helped the crosslinking of the EVOH coating layer to enhance the performance at low water permeation rate. FT-IR and ESCA analyses reveal that EVOH dip coating performed homogeneously through not only membrane surface but also matrix. Thermogram of EVOH film modified plasma treatment and W irradiation show that crosslinking density of EVOH layer increased. Chemical modification by plasma treatment and UV irradiation stabilized the hydrophilic coating layer to increase the critical flux of the submerged membrane.

Effect of Fluxes on the Wear of MgO Coating Materials for Tundish (턴디쉬용 MgO Coating 재의 손상에 미치는 Flux의 영향)

  • 홍기곤;박재원;김효준
    • Journal of the Korean Ceramic Society
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    • v.34 no.7
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    • pp.677-684
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    • 1997
  • The effects of fluxes on MgO coating materials for tundish were investigated. As the number of charge in continuous casting was increased, the basicity of tundish slag was decreased due to the increase of silica formed by dissolution from rice hull. As a result, the wear of magnesia lining was increased. In aggregates of MgO coating materials, magnesioferrite was formed by the reaction between magnesia and ferric oxide formed by the oxidation of molten steel, while matrix parts of MgO coating materials were worn by CaO-Al2O3-SiO2 compounds. Silica in rice hull extracted to the molten slag reduced basicity of slag and formed forsterite in the result of its reaction with magnesia lining. Also, fayalite was formed from the reaction between silica and ferric oxide and it caused the increment of magnesia lining's wear. The wear of magnesia lining by flux of CaO-SiO2 was larger than that of Cao-Al2O3 and calcia in the flux increased the wear of magnesia lining through the formation of rankinite.

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Numerical Analysis for Characterization of Single Phase Induction Motors by using Circuit Equations Coupled with Magnetic Field Distribution

  • Kim, Young Sun;Lee, Dong Yoon
    • Journal of Magnetics
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    • v.18 no.3
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    • pp.255-259
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    • 2013
  • In this paper a new coupling method for efficient and simple analysis of single phase induction motor is presented. The circuit representation of both the stator winding and each conducting rotor loop (composed of rotor bar and end ring segment) is used in conjunction with the distribution of magnetic flux linkage instead of inductance matrix. The flux linkage is calculated using air-gap flux density distributions driven by unit currents in the stator windings and rotor bars. The field distribution of one turn of a coil is calculated by FEM and the result is used to calculate total flux linkage by employing a coordinate transformation. The numerical results give good agreement with prior literature. The method is particularly effective in analyzing the effect of the number of rotor bars.

Performance improvement of membrane distillation using carbon nanotubes

  • Kim, Seung-Hyun;Lee, Tae-Min
    • Membrane and Water Treatment
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    • v.7 no.4
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    • pp.367-375
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    • 2016
  • Although the bucky paper (BP) made from carbon nanotubes (CNTs) possesses beneficial characteristics of hydrophobic nature and high porosity for membrane distillation (MD) application, weak mechanical strength of BP has often prevented the stable operation. This study aims to fabricate the BP with high mechanical strength to improve its MD performance. The strategy was to increase the purity level of CNTs with an assumption that purer CNTs would increase the Van der Waals attraction, leading to the improvement of mechanical strength of BP. According to this study results, the purification of CNT does not necessarily enhance the mechanical strength of BP. The BP made from purer CNTs demonstrated a high flux ($142kg/m^2{\cdot}h$) even at low ${\Delta}T$ ($50^{\circ}C$ and $20^{\circ}C$) during the experiments of direct contact membrane distillation (DCMD). However, the operation was not stable because a crack quickly formed. Then, a support layer of AAO (anodic aluminum oxide) filter paper was introduced to reinforce the mechanical strength of BP. The support reinforcement was able to increase the mechanical strength, but wetting occurred. Therefore, the mixed matrix membrane (PSf-CNT) using CNTs as filler to polysulphone was fabricated. The DCMD operation with the PSf-CNT membrane was stable, although the flux was low ($6.1kg/m^2{\cdot}h$). This result suggests that the mixed matrix membrane could be more beneficial for the stable DCMD operation than the BP.

Sensorless Control for Induction Motor Drives Fed By a Matrix Converter Using Power Theory (매트리스 컨버터를 이용한 유도전동기 구동장치를 위한 전력이론 기반의 센서리스 기법)

  • Lee, Kyo-Beum
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.3
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    • pp.524-530
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    • 2007
  • This paper presents a new and simple method for sensorless operation of matrix converter drives using a constant air-gap flux and the imaginary power flowing to the motor. To improve low-speed sensorless performance, the non-linearities of a matrix converter drive such as commutation delays, turn-on and turn-off times of switching devices, and on-state switching device voltage drop are modelled using PQR transformation and compensated using a reference power control scheme. The proposed compensation method is applied for high performance induction motor drives using a 3 kW matrix converter system. Experimental results are shown to illustrate the feasibility of the proposed strategy.

Improved Direct Torque Control for Sensorless Matrix Converter Drives with Constant Switching Frequency and Torque Ripple Reduction

  • Lee Kyo-Beum;Blaabjerg Frede
    • International Journal of Control, Automation, and Systems
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    • v.4 no.1
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    • pp.113-123
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    • 2006
  • In this paper, an improved direct torque control (DTC) method for sensorless matrix converter drives is proposed which enables to minimize torque ripple, to obtain unity input power factor, and to achieve good sensorless speed-control performance in the low speed operation, while maintaining constant switching frequency and fast torque dynamics. It is possible to combine the advantages of matrix converters with the advantages of the DTC strategy using space vector modulation and a flux deadbeat controller. To overcome the phase current distortion by the non-linearity of a matrix converter drive, the simple non-linearity compensation method using PQR power theory are presented in the proposed scheme. Experimental results are shown to illustrate the feasibility of the proposed strategy.

Model Predictive Control for Induction Motor Drives Fed by a Matrix Converter (매트릭스 컨버터로 구동되는 유도전동기의 직접토크제어를 위한 모델예측제어 기반의 SVM 기법)

  • Choi, Woo Jin;Lee, Eunsil;Song, Joong-Ho;Lee, Young-Il;Lee, Kyo-Beum
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.9
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    • pp.900-907
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    • 2014
  • This paper proposes a MPC (Model Predictive Control) method for the torque and flux controls of induction motor. The proposed MPC method selects the optimized voltage vector for the matrix converter control using the predictive modeling equation of the induction motor and cost function. Hence, the reference voltage vector that minimizes the cost function of the torque and flux error within the control period is selected and applied to the actual system. As a result, it is possible to perform the torque and flux control of induction motor using only the MPC controller without a PI (Proportional-Integral) or hysteresis controller. Even though the proposed control algorithm is more complicated and has lots of computations compared with the conventional MPC, it can perform torque ripple reduction by synthesizing voltage vectors of various magnitude. This feature provides the reduction of amount of calculations and the improvement of the control performance through the adjustment of the number of the unit vectors n. The proposed control method is validated through the PSIM simulation.

Study on the magnetic flux distribution of transformer by the use of finite element method (유한요소법에 의한 변압기의 자속분포 해석에 관한 연구)

  • 임달호;현동석;이철직
    • 전기의세계
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    • v.29 no.4
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    • pp.247-255
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    • 1980
  • In this study, an application of Finite Element Method which, in principle, based on variational calculus has been presented for the two-dimensional analysis of magnetic flux distribution in the shell type core of single phase transformer. The necessary stationarity condition of energy functional and boundary conditions were determined under the assumptions that the electromagnetic field considered is stationary and that the effect of eddy current is negligible. In the process of application the domain of magnetic field was divided into triangle subsectional elements and then the matrix equations were constructed for the respective triangular element and for those of all after the manipulation of minimization process to the vector potential of magnetic field at the each vertex of the element. Furthermore the numerical computation for the equations was guided by the Gaussian Elimination Methods. As the results obtained, it is found that the aspect of magnetic flux distribution inside the core as well as the leakage flux profile at the vicinity of the inner leg of the core is not much different from the well-known distribution profile of magnetic flux, however, the procedure shows to possess the merit of the uniquely deterministic nature for the flux distribution at the desired points.

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