• 제목/요약/키워드: Least squares solution

검색결과 204건 처리시간 0.023초

아트리움 공간의 수직공기온도분포 계산을 위한 수학모형의 작성 (Mathematical Modeling for Calculating the Vertical Air Temperature Distribution in an Atrium Space)

  • 박종수;안병욱
    • 설비공학논문집
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    • 제15권6호
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    • pp.533-542
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    • 2003
  • This study aims to propose a simplified mathematical model for calculating vertical air temperature distribution in a four-sided atrium. In the first stage of the mathematical modeling, the computer model combined zonal model and solar radiation model using Monte Carlo method and Ray tracing technique went through a computer simulation with architectural variables applied to a four-sided atrium in summer. In the next stage, Curve Expert, a computer program that gets the most suitable solution ac-cording to the least squares method, is used to analyze the results of the computer simulation and to derive the mathematical model. The accuracy of the mathematical model was evaluated through a comparison of calculation results from a mathematical model and computer simulation. In this validation step using the least square method, the R2 value of the Zones 1, 2 and 3 showed higher than 0.945. Zone 4 has an R2 value of 0.911, lower than the previous three zones. However the relative error was below 0.5%, which is considered very small.

GTLS의 ARMA시트템식별에의 적용 및 적응 GTLS 알고리듬에 관한 연구 (ARMA System identification Using GTLS method and Recursive GTLS Algorithm)

  • 김재인;김진영;이태원
    • 한국음향학회지
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    • 제14권3호
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    • pp.37-48
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    • 1995
  • 일반화된 완전최소자승법 (generalized total least squares method, GTLS)의 ARMA 시스템 식별에의 적용과 GTLS의 적응알고리듬에 대하여 논한다. 일반화된 완전최소자승법은 일별과 출력을 알고 있는 시스템식별 (system identification)문제에서, 출력이 잡음에 의하여 오염된 경우, 편이되지 않은 해를 구하기 위하여 사용되는 방법이다. 본 논문에서는 먼저 GTLS를 ARMA 시스템 식별에 적용하기 위한 formulation을 하고, 일반화된 완전최소자승법의 일반 해의 성질과 역행렬 정리 (matrix inverse lemma)를 이용하여 적응 GTLS 방법을 제안한다. 다음 제안된 방법을 통하여 시스템식별에 적용하여 그 성능을 평가한다. 또한 GTLS 알고리듬과 제안한 적응 GTLS 알고리듬의 성능을 수학적으로 해석하고 컴퓨터 시뮬레이션을 통하여 이를 검증한다.

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Refinement of the Structure of Alclofenac, 4-Allyloxy-3-Chlorophenyl acetic acid ($C_{11}H_{11}O_{3}CI$)

  • Kim, Yang-Bae;Kim, Sung-Jae;Koo, Chung-Hoe
    • Archives of Pharmacal Research
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    • 제9권4호
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    • pp.223-227
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    • 1986
  • The structure of alclofenac was determined by single crystal X-ray diffraction analysis. The compound was recrystallized from chloroform solution in monoclinic system space group $C_{2}$/c, with Z = 8, a = 8, a = 23.349(9), b =14.295 (3), c = 7.192 (2) $\AA$, $\beta$ = 111.32 (3)$^{\circ}$, and $d_{dbs}$ = 1.29, $d_{caic}$ = 1.30. The structure was solved by direct method and refined by least-squares procedure to the final R-value being 0.044 for 1055 reflections (F ${\geq}6${\sigma}$(F)). The molecules are dimerized by OH..O type hydrogen bonds related by two-fold axis.

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Optimal nonlinear Parameter Estimation of Steady-State Induction Motor using Immune Algorithm

  • Kim, Dong-Hwa;Cho, Jae-Hoon;Hong, Won-Pyo;Lee, Seung-Hack;Lee, Hwan
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.891-895
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    • 2004
  • This paper suggests the techniques in determining the values of the steady-state equivalent circuit parameters of a three-phase squirrel-cage induction machine using immune algorithm. The parameter estimation procedure is based on the steady state phase current versus slip and input power versus slip characteristics. The proposed estimation algorithm is of a nonlinear kind based on clonal selection in immune algorithm. The machine parameters are obtained as the solution of a minimization of least-squares cost function by immune algorithm. Simulation shows better results than the conventional approaches.

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Real-time Fault Detection in Semiconductor Manufacturing Process : Research with Jade Solution Company

  • Kim, Byung Joo
    • International Journal of Internet, Broadcasting and Communication
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    • 제9권2호
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    • pp.20-26
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    • 2017
  • Process control is crucial in many industries, especially in semiconductor manufacturing. In such large-volume multistage manufacturing systems, a product has to go through a very large number of processing steps with reentrant) before being completed. This manufacturing system has many machines of different types for processing a high mix of products. Each process step has specific quality standards and most of them have nonlinear dynamics due to physical and/or chemical reactions. Moreover, many of the processing steps suffer from drift or disturbance. To assure high stability and yield, on-line quality monitoring of the wafers is required. In this paper we develop a real-time fault detection system on semiconductor manufacturing process. Proposed system is superior to other incremental fault detection system and shows similar performance compared to batch way.

프레딕터.코렉터방법에 의한 터널다이오드 발진회로의 해석 (Analysis of a Tunnel-Diode Oscillator Circuit by Predictor-Corrector Method)

  • 이정한;차균현
    • 대한전자공학회논문지
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    • 제10권6호
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    • pp.45-55
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    • 1973
  • 본 논문은 한개의 터널다이오드로 구성된 시간에 무관한 비선형 회로를 논한다 부저항 소자로 구성된 비선형 회로의 해를 구하기 전에 비선형 소자의 정특성을 어떤 함수로 표시할 필요가 있다. 최소 자승법에 의해서 정특성을 표현하는 근사 다항식 커브를 구했다. 비선형 회로를 해석하기 위해서는 우선 그 회로에 관한 상태방정식이 설정되면 프레딕터·코렉터 방법에 의해서 해를 구할수 있다. 최종적으로, 비선형 회로의 안정도와 발진 조건을 논하기 위해서 limit cycle을 점철했다.

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2-D 슬리트광 비젼 센서를 이용한 물체의 자세측정 (The Position Estimation of a Body Using 2-D Slit Light Vision Sensors)

  • 김정관;한명철
    • 한국정밀공학회지
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    • 제16권12호
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    • pp.133-142
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    • 1999
  • We introduce the algorithms of 2-D and 3-D position estimation using 2-D vision sensors. The sensors used in this research issue red laser slit light to the body. So, it is very convenient to obtain the coordinates of corner point or edge in sensor coordinate. Since the measured points are normally not fixed in the body coordinate, the additional conditions, that corner lines or edges are straight and fixed in the body coordinate, are used to find out the position and orientation of the body. In the case of 2-D motional body, we can find the solution analytically. But in the case of 3-D motional body, linearization technique and least mean squares method are used because of hard nonlinearity.

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On the Local Identifiability of Load Model Parameters in Measurement-based Approach

  • Choi, Byoung-Kon;Chiang, Hsiao-Dong
    • Journal of Electrical Engineering and Technology
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    • 제4권2호
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    • pp.149-158
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    • 2009
  • It is important to derive reliable parameter values in the measurement-based load model development of electric power systems. However parameter estimation tasks, in practice, often face the parameter identifiability issue; whether or not the model parameters can be estimated with a given input-output data set in reliable manner. This paper introduces concepts and practical definitions of the local identifiability of model parameters. A posteriori local identifiability is defined in the sense of nonlinear least squares. As numerical examples, local identifiability of third-order induction motor (IM) model and a Z-induction motor (Z-IM) model is studied. It is shown that parameter ill-conditioning can significantly affect on reliable parameter estimation task. Numerical studies show that local identifiability can be quite sensitive to input data and a given local solution. Finally, several countermeasures are proposed to overcome ill-conditioning problem in measurement-based load modeling.

SLAM으로 작성한 지도 품질의 상대적/정량적 비교를 위한 방법 제안 (A New Method for Relative/Quantitative Comparison of Map Built by SLAM)

  • 권태범;장우석
    • 로봇학회논문지
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    • 제9권4호
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    • pp.242-249
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    • 2014
  • By a SLAM (simultaneous localization and mapping) method, we get a map of an environment for autonomous navigation of a robot. In this case, we want to know how accurate the map is. Or we want to know which map is more accurate when different maps can be obtained by different SLAM methods. So, several methods for map comparison have been studied, but they have their own drawbacks. In this paper, we propose a new method which compares the accuracy or error of maps relatively and quantitatively. This method sets many corresponding points on both reference map and SLAM map, and computes the translational and rotational values of all corresponding points using least-squares solution. Analyzing the standard deviations of all translational and rotational values, we can know the error of two maps. This method can consider both local and global errors while other methods can deal with one of them, and this is verified by a series of simulations and real world experiments.

Transient heat transfer analysis of functionally graded CNT reinforced cylinders with various boundary conditions

  • Moradi-Dastjerdi, Rasool;Payganeh, Gholamhassan
    • Steel and Composite Structures
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    • 제24권3호
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    • pp.359-367
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    • 2017
  • In this work, transient heat transfer analysis of functionally graded (FG) carbon nanotube reinforced nanocomposite (CNTRC) cylinders with various essential and natural boundary conditions is investigated by a mesh-free method. The cylinders are subjected to thermal flux, convection environments and constant temperature faces. The material properties of the nanocomposite are estimated by an extended micro mechanical model in volume fraction form. The distribution of carbon nanotube (CNT) has a linear variation along the radial direction of axisymmetric cylinder. In the mesh-free analysis, moving least squares shape functions are used for approximation of temperature field in the weak form of heat transform equation and the transformation method is used for the imposition of essential boundary conditions. Newmark method is applied for solution time depended problem. The effects of CNT distribution pattern and volume fraction, cylinder thickness and boundary conditions are investigated on the transient temperature field of the nanocomposite cylinders.