• 제목/요약/키워드: Flux function

검색결과 533건 처리시간 0.025초

Adaptive time-step control for modal methods to integrate the neutron diffusion equation

  • Carreno, A.;Vidal-Ferrandiz, A.;Ginestar, D.;Verdu, G.
    • Nuclear Engineering and Technology
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    • 제53권2호
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    • pp.399-413
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    • 2021
  • The solution of the time-dependent neutron diffusion equation can be approximated using quasi-static methods that factorise the neutronic flux as the product of a time dependent function times a shape function that depends both on space and time. A generalization of this technique is the updated modal method. This strategy assumes that the neutron flux can be decomposed into a sum of amplitudes multiplied by some shape functions. These functions, known as modes, come from the solution of the eigenvalue problems associated with the static neutron diffusion equation that are being updated along the transient. In previous works, the time step used to update the modes is set to a fixed value and this implies the need of using small time-steps to obtain accurate results and, consequently, a high computational cost. In this work, we propose the use of an adaptive control time-step that reduces automatically the time-step when the algorithm detects large errors and increases this value when it is not necessary to use small steps. Several strategies to compute the modes updating time step are proposed and their performance is tested for different transients in benchmark reactors with rectangular and hexagonal geometry.

An evaluation of empirical regression models for predicting temporal variations in soil respiration in a cool-temperate deciduous broad-leaved forest

  • Lee, Na-Yeon
    • Journal of Ecology and Environment
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    • 제33권2호
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    • pp.165-173
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    • 2010
  • Soil respiration ($R_S$) is a critical component of the annual carbon balance of forests, but few studies thus far have attempted to evaluate empirical regression models in $R_S$. The principal objectives of this study were to evaluate the relationship between $R_S$ rates and soil temperature (ST) and soil water content (SWC) in soil from a cool-temperate deciduous broad-leaved forest, and to evaluate empirical regression models for the prediction of $R_S$ using ST and SWC. We have been measuring $R_S$, using an open-flow gas-exchange system with an infrared gas analyzer during the snowfree season from 1999 to 2001 at the Takayama Forest, Japan. To evaluate the empirical regression models used for the prediction of $R_S$, we compared a simple exponential regression (flux = $ae^{bt}$Eq. [1]) and two polynomial multiple-regression models (flux = $ae^{bt}{\times}({\theta}{\nu}-c){\times}(d-{\theta}{\nu})^f:$ Eq. [2] and flux = $ae^{bt}{\times}(1-(1-({\theta}{\nu}/c))^2)$: Eq. [3]) that included two variables (ST: t and SWC: ${\theta}{\nu}$) and that utilized hourly data for $R_S$. In general, daily mean $R_S$ rates were positively well-correlated with ST, but no significant correlations were observed with any significant frequency between the ST and $R_S$ rates on periods of a day based on the hourly $R_S$ data. Eq. (2) has many more site-specific parameters than Eq. (3) and resulted in some significant underestimation. The empirical regression, Eq. (3) was best explained by temporal variations, as it provided a more unbiased fit to the data compared to Eq. (2). The Eq. (3) (ST $\times$ SWC function) also increased the predictive ability as compared to Eq. (1) (only ST exponential function), increasing the $R^2$ from 0.71 to 0.78.

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

  • 최우진;이은실;송중호;이영일;이교범
    • 제어로봇시스템학회논문지
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    • 제20권9호
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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.

섬진강 수계에서 막여과 정수처리 공정 적용성 평가 (Application of Water Treatment with Membrane in Seomjin River)

  • 김종두;박경욱;박철휘
    • 멤브레인
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    • 제23권1호
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    • pp.12-23
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    • 2013
  • 섬진강 수계의 복류수를 대상으로 막여과 정수처리 공정 현장 적용성 평가를 위해 여과막의 공경에 따른 막오염도 예측 및 최적 응집제 주입농도 선정을 통해 파일롯플랜트 규모의 검증실험을 실시하였다. 막공경에 따른 막오염도 평가를 위한 여과저항 평가실험 결과, $0.1{\mu}m$$0.01{\mu}m$ 여과막의 비가역적 여과저항 증가율은 각각 $0.44{\times}10^{12}/m^2$, $0.42{\times}10^{12}/m^2$로 나타났으며, Flux-test 실험결과, 적정응집제 주입농도는 Jar-Test 실험결과에 비해 낮게 나타났다. 현장 적용성 평가를 위해 6개월 동안의 파일롯플랜트 운영을 수행하였다. 응집을 실시하지 않은 막여과공정은 여과유속 $1.0{\sim}1.5m^3/m^2{\cdot}day$, 응집을 실시한 막여과 공정은 여과유속 $1.0{\sim}2.0m^3/m^2{\cdot}day$의 조건에서 운전한 결과 두 조건 모두 6개월 이상 막차압이 안정되게 유지되었다. 따라서 섬진강 수계의 복류수를 이용한 막여과 공정 운영에 있어 적정 여과유속으로 운전 시 응집제 사용 없이 안정적인 운전이 가능함을 알 수 있었다.

구조토양에서의 침출수와 잔존수농도의 파과곡선에 관한 비교연구 (COMPARISON OF FLUX AND RESIDENT CONCENTRATION BREAKTHROUGH CURVES IN STRUCTURED SOIL COLUMNS)

  • Kim, Dong-Ju
    • 한국토양환경학회지
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    • 제2권2호
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    • pp.81-94
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    • 1997
  • 오염물질 이동현상 연구에서는 침출수 혹은 잔존수농도 형태가 사용되는데 이의 선택은 모니터링 방법에 의존하게 된다. 파과곡선 실험에서 모니터링 농도 형태에 관한 선택은 임의적이며, 각 농도 형태에서 얻어진 운송 파라미터들은 동등하며 다공성매질의 수리적 특성을 각각 대표하는 것으로 알려져왔다. 그러나, 현장상태의 구조적 발달을 보이는 토양에서는 농도 형태별 운송계수의 동등성이 의문시 된다. 본 연 구에서는 불교란 현장시료(직경 20cm, 높이 20cm)에 대하여 두가지 농도 형태에 의한 파과곡선 실험을 시행하므로써 모니터링 방법에 따른 농도 형태와 그에 따른 운송 파라미터들을 비교분석 하였다. 침출수 농도와 잔존수 농도는 토양상부에서 20cm와 loom 떨어진 지점에서 EC-meter와 TDR 을 이용하여 각각 측정하였다. 연구결과, 침출수 농도는 잔존수 농도보다 첨두농도가 훨씬 높게 그리고 첨두농도의 운송시간이 짧게 나타났음을 알 수 있었다. 따라서 침출수농도곡선으로부터 추정된 운송파 라미터들은 잔존수농도곡선으로부터 추정된 수치들과 상당한 차이를 보였으며 그 차이는 CLT 모델보다 CDE 모델에서 더 크게 나타났다. 특히 CDE 모델에서는 침출수곡선으로부터 도출된 계수값들이 잔존수곡선으로부터 도출된 계수값들보다 훨씬 크게 나타났다. 이는 구조토양내에 존재하고 있는 대공극을 통한 오염물질 우회통과와 평형조건에서의 CDE 모델이 연구대상토양에서의 오염물질 이동현상을 표현하는데 부적합하였기 때문인 것으로 사료된다. 분자 분산에 대한 동수리학적 확산의 비와 Peclet number와의 상관관계를 나타내는 도표영역에서 두가지 농도는 모두 역학적 확산이 오염물질 운송을 좌우하는 영역에 속하였다. 그러나 분자분산은 토양내 대공극부분보다 matrix 부분에서의 오염물질 확산에 더 많은 기여를 하는 것으로 나타났으며 이는 공극유속과 확산계수사이에 존재하는 비선형성에 기인하기 때문인 것으로 사료된다.

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스테인레스 강 용접중 발생하는 망간의 발생량 및 함량변화에 관한 연구 (Generation Rate and Content Variation of Manganese in Stainless Steel Welding)

  • 윤충식;김정한
    • 한국산업보건학회지
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    • 제16권3호
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    • pp.254-263
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    • 2006
  • Manganese has a role as both toxic and essential in humans. Manganese is also an essential component in the welding because it increases the hardness and strength, prevents steel from cracking of welding part and acts as a deoxidizing agent to form a stable weld. In this study, manganese generation rate and its content was determined in flux cored arc welding on stainless steel. Domestic two products and foreign four products of flux cored wires were tested in the well designed fume generation chamber as a function of input power. Welding fume was measured by gravimetric method and metal manganese was determined by inductively coupled plasma-atomic emission spectrophotometer. The outer shell of the flux cored wire tube and inner flux were analyzed by scanning electron microscopy to determine their metal compositions. Manganese generation rate($FGR_{mn}$) was increased as the input power increased. It was 16.3 mg/min at the low input power, 38.1 mg/min at the optimal input power, and up to 55.4 mg/min at the high input power. This means that $FGR_{mn}$ is increased at the work place if welder raise the current and/or voltage for the high productivity. The slope coefficient of $FGR_{mn}$ was smaller than that of the generation rate of total fume(FGR). Also, the correlation coefficient of $FGR_{mn}$ was 0.65 whereas that of FGR is 0.91. $FGR_{mn}$ was equal or higher in the domestic products than that of the foreign products although FGR was similar. From the electron microscopic analytical data, we concluded that outer shell of the wire was composed mainly of iron, chromium, nickel and less than 1.2 % of manganese. There are many metal ingredients such as iron, silica, manganese, zirconium, titanium, nickel, potassium, and aluminum in the inner flux but they were not homogeneous. It was found that both $FGR_{mn}$ and content of manganese was higher and more varied in domestic flux cored wires than those of foreign products. To reduce worker exposure to fumes and hazardous component at the source, further research is needed to develop new welding filler materials that improve the quality of flux cored wire in respect to these points. Welder should keep in mind that the FGR, $FGR_{mn}$ and probably the generation rate of other hazardous metals were increased as the input power increase for the high productivity.

Energy Model Based Direct Torque Control of Induction Motor Using IP Controllers

  • Mannan, Mohammad Abdul;Murata, Toshiaki;Tamura, Junji
    • Journal of international Conference on Electrical Machines and Systems
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    • 제1권4호
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    • pp.405-411
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    • 2012
  • This paper deals with direct torque control of an induction motor (IM) with constant switching frequency. The desired torque is obtained from the speed controller which is designed using the IP controller. Decoupling control of torque and flux is developed based on the energy model of IM using the IP controller strategies. The desired d-axis and q-axis stator voltage components are obtained from the designed controller, which decouples torque and flux. The constant switching frequency can be applied using space-vector pulse width modulation, since the desired stator voltage can be known from the decoupling torque and flux controllers. In order to achieve stable operation of the proposed IP controllers, the gains of the controllers are chosen by setting the poles in negative (left) half of s-plane and by choosing the rising time for the response of the step function. The proposed controller was verified in simulations using Matlab/Simulink and results have proven excellent performance. It was found that the proposed IP controllers can provide excellent performance to track the desired torque and speed and to reject the disturbance of load.

메탄-공기 예혼합 화염에서 염화수소의 역할 (The Function of Hydrogen Chloride on Methane-Air Premixed Flame)

  • 신성수;이기용
    • 대한기계학회논문집B
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    • 제29권9호
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    • pp.979-987
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    • 2005
  • Numerical simulations were performed at atmospheric pressure in order to understand the effect of additives on flame speed, flame temperature, radical concentrations, $NO_x$ formation, and heat flux in freely propagating $CH_4-Air$ flames. The additives were both carbon dioxide and hydrogen chloride which had a combination of physical and chemical behavior on hydrocarbon flame. In the flame established with the same mole of methane and additive, hydrogen chloride significantly contributed toward the reduction of flame speed, flame temperature, $NO_x$ formation and heat flux by the chemical effect, whereas carbon dioxide mainly did so by the physical effect. The impact of hydrogen chloride on the decrease of the radical concentration was about $1.4\~3.0$ times as large as that of carbon dioxide. Hydrogen chloride had higher effect on the reduction of $EI_{NO}$ than carbon dioxide because of the chemical effect of hydrogen chloride. The reaction, $OH+HCl{\rightarrow}Cl+H_2O$, played an important role in the heat flux from flames added by hydrogen chloride instead of the reaction, $OH+H_2{\rightarrow}H+H_2O$ which was an important reaction in hydrocarbon flames.

STABLE APPROXIMATION OF THE HEAT FLUX IN AN INVERSE HEAT CONDUCTION PROBLEM

  • Alem, Leila;Chorfi, Lahcene
    • 대한수학회논문집
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    • 제33권3호
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    • pp.1025-1037
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    • 2018
  • We consider an ill-posed problem for the heat equation $u_{xx}=u_t$ in the quarter plane {x > 0, t > 0}. We propose a new method to compute the heat flux $h(t)=u_x(1,t)$ from the boundary temperature g(t) = u(1, t). The operator $g{\mapsto}h=Hg$ is unbounded in $L^2({\mathbb{R}})$, so we approximate h(t) by $h_{\delta}(t)=u_x(1+{\delta},\;t)$, ${\delta}{\rightarrow}0$. When noise is present, the data is $g_{\epsilon}$ leading to a corresponding heat $h_{{\delta},{\epsilon}}$. We obtain an estimate of the error ${\parallel}h-h_{{\delta},{\epsilon}}{\parallel}$, as well as the error when $h_{{\delta},{\epsilon}}$ is approximated by the trapezoidal rule. With an a priori choice rule ${\delta}={\delta}({\epsilon})$ and ${\tau}={\tau}({\epsilon})$, the step size of the trapezoidal rule, the main theorem gives the error of the heat flux as a function of noise level ${\epsilon}$. Numerical examples show that the proposed method is effective and stable.

모의배전계통에 두 트리거 전류레벨을 이용한 초전도한류기의 전류제한 특성 분석 (Current Limiting Characteristics of a SFCL with Two Triggered Current Limiting Levels in a Simulated Power Distribution System)

  • 고석철;한태희
    • 한국전기전자재료학회논문지
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    • 제26권2호
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    • pp.134-139
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    • 2013
  • When the accident occurred in power distribution system, it needs to control efficiently the fault current according to the fault angle and location. The flux-lock type superconducting fault current limiters (SFCL) can quickly limit when the short circuit accidents occurred and be made the resistance after the fault current. The flux-lock type SFCL has a single triggering element, detects and limits the fault current at the same time regardless of the size of the fault current. However, it has a disadvantage that broken the superconductor element. If the flux-lock type SFCL has separated structure of the triggering element and the limiting element, when large fault current occurs, it can reduce the burden of power and control fault current to adjust impedance. In this paper, this system is composed by triggering element and limiting element to analyze operation of limiting current. When the fault current occurs, we analyzed the limiting and operating current characteristics of the two triggering current level, and the compensation characteristics of bus-voltage sag according to the fault angle and location.