• 제목/요약/키워드: Small-error approximation

검색결과 54건 처리시간 0.026초

엇갈린 배열의 돌출물들이 존재하는 마이크로채널 내의 스톡스 유동 (STOKES FLOW THROUGH A MICROCHANNEL WITH PROTUBERANCES OF STAGGERED ARRANGEMENT)

  • 손정수;정재택
    • 한국전산유체공학회지
    • /
    • 제20권4호
    • /
    • pp.109-115
    • /
    • 2015
  • In this study, the Stokes flow in the microchannel is analysed where the semicircular protuberances with constant spacing are attached on the upper and lower walls with staggered arrangement. For the low Reynolds number flow in microchannel, Stokes approximation is used and the periodicity and symmetry of the flow are considered to determine the stream function and pressure distribution in the flow field by using the method of least squared error. As results, the streamline patterns and pressure distributions in the flow field are shown for some specific values of the size and spacing of the protuberances, and shear stress distributions on the surface of semicircular protuberances are plotted. Especially, for an important physical property, the average pressure gradient along the microchannel is obtained and compared with that for the case of in-phase arrangement of the upper and lower protuberances. And, for the small clearance between the protuberances of upper and lower walls or between the protuberances and the opposite wall, the average pressure gradient is derived from the lubrication theory and compared with that of the present study.

원자간력 현미경의 자율교정법 (New Calibration Methods for improving the Accuracy of AFM)

  • 권현규;고영채
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 춘계학술대회논문집B
    • /
    • pp.48-52
    • /
    • 2001
  • In this paper presents an accurate AFM used that is free from the Z-directional distortion of a servo actuator is described. Two mathematical correction methods by the in-situ self-calibrationare employed in this AFM. One is the method by the integration, and the other is the method by inverse function of the calibration curve. The in situ self-calibration method by the integration, the derivative of the calibration curve function of the PZT actuator is calculated from the profile measurement data sets which are obtained by repeating measurements after a small Z-directional shift. Input displacement at each sampling point is approximately estimated first by using a straight calibration line. The derivative is integrated with reference to the approximate input to obtain the approximate calibration curve. Then the approximation of the input value of each sampling point is improved using the obtained calibration curve. Next the integral of the derivative is improved using the newly estimated input values. As a result of repeating these improving process, the calibration curve converges to the correct one, and the distortion of the AFM image can be corrected. In the in situ self-calibration through evaluating the inverse function of the calibration curve, the profile measurement data sets were used during the data processing technique. Principles and experimental results of the two methods are presented.

  • PDF

A comparative study of low-complexity MMSE signal detection for massive MIMO systems

  • Zhao, Shufeng;Shen, Bin;Hua, Quan
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제12권4호
    • /
    • pp.1504-1526
    • /
    • 2018
  • For uplink multi-user massive MIMO systems, conventional minimum mean square error (MMSE) linear detection method achieves near-optimal performance when the number of antennas at base station is much larger than that of the single-antenna users. However, MMSE detection involves complicated matrix inversion, thus making it cumbersome to be implemented cost-effectively and rapidly. In this paper, we first summarize in detail the state-of-the-art simplified MMSE detection algorithms that circumvent the complicated matrix inversion and hence reduce the computation complexity from ${\mathcal{O}}(K^3)$ to ${\mathcal{O}}(K^2)$ or ${\mathcal{O}}(NK)$ with some certain performance sacrifice. Meanwhile, we divide the simplified algorithms into two categories, namely the matrix inversion approximation and the classical iterative linear equation solving methods, and make comparisons between them in terms of detection performance and computation complexity. In order to further optimize the detection performance of the existing detection algorithms, we propose more proper solutions to set the initial values and relaxation parameters, and present a new way of reconstructing the exact effective noise variance to accelerate the convergence speed. Analysis and simulation results verify that with the help of proper initial values and parameters, the simplified matrix inversion based detection algorithms can achieve detection performance quite close to that of the ideal matrix inversion based MMSE algorithm with only a small number of series expansions or iterations.

혈액중 non-invasive hematocrit 분석 (Non-invasive hematocrit measurement)

  • Yoon, Gil-Won;Jeon, Kye-Jin;Park, Kun-Kook;Lee, Jong-Youn;Hwang, Hyun-Tae;Yeo, Hyung-Seok;Kim, Hong-Sig
    • 한국근적외분광분석학회:학술대회논문집
    • /
    • 한국근적외분광분석학회 2002년도 강연요지집
    • /
    • pp.59-62
    • /
    • 2002
  • Wavelength selection and prediction algorithm for determining hematocrit are investigated. A model based on the difference in optical density induced by the pulsation of heart beat is developed by taking approximation of Twersky's theory on the assumption that the variation of blood vessel size is small during arterial pulsing[1]. A device is constructed with a five-wavelength LED array as light source. The selected wavelengths are two isobestic points and three in compensation for tissue scattering. Data are collected from 549 out-patients who are randomly grouped as calibration and prediction sets. The range of percent hematocrit was 19.3∼51.8. The ratio of the variations of optical density between systole and diastole at two different wavelengths is used as a variable. We selected several such variables that show high reproducibility among all variables. Multiple linear regression analysis is made. The relative percent error is 8% and the standard deviation is 3.67 for the calibration set. The relative % error and standard deviation of the prediction set are 8.2% and 3.69 respectively. We successfully demonstrate the possibility of non-invasive hematocrit measurement, particularly, using the wavelengths below 1000nm.

  • PDF

로그수체계 기반의 저전력/저면적 제산기 및 제곱근기 회로 설계 (A Design of Low-power/Small-area Divider and Square-Root Circuits based on Logarithm Number System)

  • 김채현;김종환;이용환;신경욱
    • 한국정보통신학회:학술대회논문집
    • /
    • 한국해양정보통신학회 2005년도 추계종합학술대회
    • /
    • pp.895-898
    • /
    • 2005
  • 본 논문에서는 그래픽 프로세싱 분야와 디지털 신호 처리 분야에 응용될 수 있는 로그수체계(Logarithm Number System; LNS) 기반의 제산기와 제곱근기를 설계하였다. 설계된 제산기와 제곱근기는 부동소수점 대신 16.16의 고정소수점 방식을 사용하여 모바일 환경에서 저전력/저면적으로 동작하도록 하였다. 설계된 제산기와 제곱근기는 이진수-로그 변환기, 감산기, 로그-이진수 변환기 등으로 구성되어 있다. 특히, 이진수-로그 변환시 룩업테이블(Look Up Table; LUT)을 사용하지 않고 6-영역의 근사화 방법을 이용한 조합회로로 구현함으로써, 기존의 룩업테이블로 구현한 방식에 비해 게이트 수가 감소되도록 하여, 제산기 3,130, 제곱근기 1,280 게이트로 구현되었다. 연산정밀도를 높이기 위해 에러 보상방법을 적용하였으며 연상 정밀도 분석결과 평균 퍼센트 에러가 가각 3.8% 와 4.2%로 평가되었다.

  • PDF

리드 스위치 센서를 이용한 원격 검침용 상수도 계량기에서 채터링 오차 감소 방안 연구 (Reduction of Chattering Error of Reed Switch Sensor for Remote Measurement of Water Flow Meter)

  • ;김희식
    • 전자공학회논문지SC
    • /
    • 제44권4호통권316호
    • /
    • pp.42-47
    • /
    • 2007
  • 상수도 원격 검침에서는 리드 스위치의 채터링 오차를 감소시키기 위한 센서 연구 및 개선이 필요하다. 센서의 동작은 전기적 펄스를 발생시키기 위한 영구 자석 주각의 접근에 의한 기계적 접촉스위치처럼 나타낼 수 있다. 대부분 회전 또는 전달 이동을 잡기 위해 사용되고 수류 측정 장치에 적용하기 위해서는 높은 신뢰성이 필수이다. 동작 형태를 간단히 설명하게 되면 미터기 작동 모터 끝에 달려있는 작은 자석이 미터기 회전에 의해 리드 스위치 내부에 있는 두 개의 스프링과 기계적 접촉 형식으로 반복적으로 떨어지게 된다. 즉 수류량에 따라 펄스의 수가 증가하는 것이다. 이렇게 측정된 값은 무선 이동 통신을 통해 서버로 전달되게 된다. 문제는 자석과 리드 스위치가 만나는 지점에서 스위치가 멈추게 되면 떨리면서 펄스가 잘못 올라가는 오차가 생기는 것이다. 이러한 오차를 감소시키기 위해 보통 소프트웨어적인 방법을 사용한다. 필터 알고리듬을 사용하는것과 통계적인 보정방법을 사용하는 것이 그러한 예이다. 하지만 그러한 방법보다는 하드웨어적으로 문제를 해결하는 것이 오차를 줄일 수 있는 더 직접적인 방법이다. 본 논문에서는 기계적인 이력현상의 특성을 이용하여 리프 스프링 구조의 변화로 오차를 감소시키는 연구를 수행하였다.

An Analytical Solution for Regular Progressive Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
    • /
    • 제1권3호
    • /
    • pp.157-167
    • /
    • 2015
  • In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

CANDU6 감속재 온도분포 계산을 위한 CFD 해석모델의 타당성 검토 (Validation of a CFD Analysis Model for the Calculation of CANDU6 Moderator Temperature Distribution)

  • 윤철;이보욱;민병주
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 추계학술대회논문집B
    • /
    • pp.499-504
    • /
    • 2001
  • A validation of a 3D CFD model for predicting local subcooling of moderator in the vicinity of calandria tubes in a CANDU reactor is performed. The small scale moderator experiments performed at Sheridan Park Experimental Laboratory(SPEL) in Ontario, Canada[1] is used for the validation. Also a comparison is made between previous CFD analyses based on 2DMOTH and PHOENICS, and the current model analysis for the same SPEL experiment. For the current model, a set of grid structures for the same geometry as the experimental test section is generated and the momentum, heat and continuity equations are solved by CFX-4.3, a CFD code developed by AEA technology. The matrix of calandria tubes is simplified by the porous media approach. The standard $k-\varepsilon$ turbulence model associated with logarithmic wall treatment and SIMPLEC algorithm on the body fitted grid are used and buoyancy effects are accounted for by the Boussinesq approximation. For the test conditions simulated in this study, the flow pattern identified is a buoyancy-dominated flow, which is generated by the interaction between the dominant buoyancy force by heating and inertial momentum forces by the inlet jets. As a result, the current CFD moderator analysis model predicts the moderator temperature reasonably, and the maximum error against the experimental data is kept at less than $2.0^{\circ}C$ over the whole domain. The simulated velocity field matches with the visualization of SPEL experiments quite well.

  • PDF

다중 회귀 분석을 활용한 Tee-Pipe 버링 공정에서 찢어짐 방지를 위한 피어싱 펀치 형상 최적 설계 (Multiple Regression Analysis for Piercing Punch Profile Optimization to Prevent Tearing During Tee Pipe Burring)

  • 이영섭;김준영;강정식;홍석무
    • 소성∙가공
    • /
    • 제26권5호
    • /
    • pp.271-276
    • /
    • 2017
  • A tee is the most common pipefitting used to combine or divide fluid flow. Tees can connect pipes of different diameters or change the direction of a pipe run. To manufacture tee type of stainless steel pipe, combinations of punch piercing and burr forming have been widely used in the industry. However, such method is considerably time consuming with regard to performing empirical work necessary to attain process conditions to prevent upper end tearing of the tee product and meet target tee height. Numerous experiments have shown that the piercing profile is the main cause of defects mentioned above. Furthermore, the mold design is formed through trial and error according to pipe diameters and changes in requirements. Thus, the objective of this study was to perform piercing and burring process analysis via finite element analysis using DYNAFORM to resolve problems mentioned above. An optimization design method was used to determine the piercing punch profile. Three radii of the piercing punch (i.e., large, small, and joined radii) were selected as design variables to minimize thinning of a tee pipe. Based on results of correlation and multiple regression analyses, we developed a predictive approximation model to satisfy requirements for both thickness reduction and target height. The new piercing punch profile was then applied to actual tee forming using the developed prediction equation. Model results were found to be in good agreement with experimental results.

IMT-2000 핸드셋용 평면형 Bowtie 안테나 해석 (Analysis on the Planar Bowtie Antenna for IMT-2000 Handset)

  • 이희숙;김남
    • 한국전자파학회논문지
    • /
    • 제11권5호
    • /
    • pp.681-688
    • /
    • 2000
  • 본 논문에서는 IMT-2000을 목표로 한 핸드셋에 상요할 수 있는 안테나로, 작고 가벼운 평면형 bowtie 안테나를 설계하고 해석하였다. MoM에 기반을 둔 Ensemble 시뮬레이션을 통해 공지주파수를 결정하는 설계 파라미터를 찾고, IMT-2000의 사용주파수에 맞추어 공진이 일어나도록 날개각의 설계 파라미터를 21$^{\circ}$로 고정한 안테나구조에서 Ensemble 심류레이션과 FDTD 수치해석을 이용하여 해석한다. FDTD 방법으로 해석을 하면, FDTD의 정확한 해에도 불구하고, 이 안테나는 상당한 오차를 가지게 되는데, 이유는 bowtie의 경사면 해석에서 계단형 근사 오차로 인한 것이다. 이러한 오차를 줄이기 위해 안테나의 경사면이 있는 각 셀 안에서 도체면/자유공간이 나뉘는 영역을 네 부분으로 구분해 자유공간이 차지하는 면적과 길이의 값을 적용하여 그 셀에서 계산되는 H-field의 값을 수정하는 새로운 알고리즘을 적용하여 보다 정확한 해를 얻는다. 즉, 기본 FDTD에서 반사손실의 협대역 특성이 수정 FDTD 알고리즘으로, 인해, 목적에 맞는 주파수 대역까지 확장될 수 있다.

  • PDF