• 한국위성정보통신학회논문지
• /
• 제7권3호
• /
• pp.94-98
• /
• 2012

정확한 토크 체결력을 제공하기 위하여 토크 측정기는 최소자승이 적용된 커브피팅 알고리즘을 사용한다. 본 논문에서 제안하는 보정 최소자승 커브피팅 알고리즘은 토크 정밀 측정을 사용하는 다양한 산업분야에서 볼트와 너트에 향상된 체결력을 제공할 수 있다. 먼저, 제안한 알고리즘에 대한 수학적 모델을 소개하고, 제안한 알고리즘을 시뮬레이션하여 기존 알고리즘과 그 결과를 비교하였다. 보정된 최소자승 알고리즘은 기존의 토크 측정에 사용되었던 알고리즘보다 낮은 표준 오차 값을 보임으로써 제안한 보정된 최소자승 알고리즘의 성능의 정확성을 증명한다. 따라서, 본 알고리즘을 토크 계측에 적용함으로써 정밀 산업기계 및 전자부품 그리고 기타 항공기, 우주선등 나사의 조임 체결력이 적용되는 산업분야에 적용함으로써 비용 및 안전성 향상에 기여될 것을 예상한다.

• 한국정보통신학회:학술대회논문집
• /
• 한국해양정보통신학회 2009년도 추계학술대회
• /
• pp.410-413
• /
• 2009

웨이퍼 Pre-Alignment는 반도체 공정에서 장비에 웨이퍼를 놓기 전에 웨이퍼의 중심 및 방향을 정확하게 정렬할 필요가 있는데, 이를 위해서 일정한 수준 이하로 중심과 방향을 찾아 Alignment 하는 방법을 말한다. 본 논문에서는 웨이퍼를 Alignment 하기 위해 기존의 Mechanical한 방법이 아닌 Area 카메라를 통한 비접촉식 방법을 이용하였다. 이 방법은 웨이퍼를 45도씩 8번씩, 한 바퀴를 회전하여 이미지를 획득한 뒤, 이미지의 웨이퍼의 에지값 들을 이용하여 Least Square Circle Fitting을 이용하여 웨이퍼의 중심과 방향을 정확하게 측정하여 Alignment를 한다.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2001년도 춘계학술대회 논문집
• /
• pp.235-238
• /
• 2001

Deformation phase can be obtained by using Least-Square Fitting. In extraction of phase values, Least-Square Fitting is superior to usual method like as 2, 3, 4-Bucket Algorithm. That can extract almost noise-free phase and retain 2$\pi$discontinuities. But more fringe in phase map, 2$\pi$ discontinuities is destroyed when that is filtered and reconstruction of deformation is not reliable. So, we adapted Least-Square Fitting using an isotropic window in dense fringe. using Sine-Cosine filter give us perfect 2$\pi$discontinuities information. We showed the process and result of extraction of phase map and filtering in this paper.

• 한국정밀공학회지
• /
• 제19권12호
• /
• pp.20-26
• /
• 2002

Deformation phase can be obtained by using Least-Square fitting. In extraction of phase values, Least-Square Fitting is superior to usual method such as 2, 3, 4-Bucket Algorithm. That can extract almost noise-free phase and retain 2 $\pi$ discontinuities. But more fringes in phase map, 2 $\pi$ discontinuities are destroyed when that are filtered and reconstruction of deformation is not reliable. So, we adapted Least-Square fitting using an isotropic window in dense fringe. Using Sine/cosine filter give us perfect 2 $\pi$ discontinuities information. We showed the process and result of extraction of phase map and filtering in this paper.

• 한국공작기계학회논문집
• /
• 제12권4호
• /
• pp.17-22
• /
• 2003

This paper presents a new circular curve fitting approach of articulated manipulators, based on least square. The approach aims at gaining the interpolation of circle from n data points, under the condition that the fitted circle should pass both a starting point and an ending point. First a spherical fitting should be performed, using least squares. Then the circular curve fitting can be resulted from the intersection of the fitted sphere and the plane obtained from 3 points, i. e., a starting point, an ending point and the center of a sphere. The proposed algorithms are shown to be efficient by using MATLAB-based simulation.

• 한국공작기계학회논문집
• /
• 제12권2호
• /
• pp.79-85
• /
• 2003

An algorithm for fitting with Least Square is a traditional and an effective method in processing with experimental data. Due to the lack of definite representation, it is difficult to fit measured data with free curves or surfaces. B-Spline is usefully utilized to express free curves and surfaces with a few parameters. This paper presents the combination of these two techniques to process the point data measured from CMM and other similar instruments. This research shows tests and comparison of the simulation results from two techniques.

• 한국해양공학회지
• /
• 제22권3호
• /
• pp.41-46
• /
• 2008

It is a recent trend for advanced ships and submarines to incorporate composite structures with viscoelastically damping material. Much research has been done on curve-fitting techniquesto identify vibration characteristic parameters such as natural frequencies, modal damping ratios, and mode shapes of the composite structure. In this study, an advanced technique for accurately determining vibration characteristic of a circular cylindrical shell-attached viscoelastically damping material is used, based on a multi-degree of freedom (MDOF) curve-fitting method. First, an initial value is obtained by using a linear least square method. Next, using the initial value, the exact modal parameters of the composite circular cylindrical shell are obtained by using a nonlinear least square method. Results show computation time is greatly decreased and accurate results are obtained by the MDOF curve-fitting method.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2006년도 제37회 하계학술대회 논문집 A
• /
• pp.14-15
• /
• 2006

A saturation of magnetic flux in the core may occur when a large primary current flows when the iron-cored current transformer is used. This saturation makes the distorted secondary current of the CT. the distorted secondary current may cause the mal-operation or operation time delay of protective relays. CT compensation algorithm using The LSQ(Least Square) fitting method has a problem. It needs to acquire enough data for executing this algorithm without an error. In this paper, an enhanced algorithm using interpolation based LSQ(Least Square) Fitting Method is proposed. The Lagrange Interpolation Method is used for the interpolation and CT is simulated by EMTP. The results show that the proposed algorithm can accurately compensate a distorted secondary current more than existing Algorithm when the saturation severely occurs.

• 센서학회지
• /
• 제26권4호
• /
• pp.259-265
• /
• 2017

Magnetometer calibration must be performed before the use of three-axis magnetometers to ensure the accuracy of orientation estimation. Recently, one of the most popular calibration approaches is the ellipsoid fitting technique due to its high performance in calibration. To date, in fact, performances of the existing ellipsoid fitting methods have been evaluated with full range rotation data. However, in case of the calibration of magnetometers attached to vehicles, ships, and planes, it is very difficult to collect the full range rotation data since their allowable ranges in terms of roll and pitch are limited to small. This constraint may result in serious performance degradation of some ellipsoid fitting algorithms. Therefore, to be practical, this paper proposes a weighted least square-based magnetometer calibration method that is robust in roll-pitch limited conditions. Furthermore, the proposed method is a linear approach and thus is free from the well-known initial value issue in nonlinear approaches. Experimental results show the superiority of the proposed method to other ellipsoid-fitting calibration methods.

• Journal of Electrical Engineering and Technology
• /
• 제6권4호
• /
• pp.459-465
• /
• 2011

A phasor estimation algorithm based on the least square curve fitting technique for the distorted secondary current due to current transformer (CT) saturation is proposed. The mathematical form of the secondary current during CT saturation is represented as the scaled primary current with magnetizing current. The information on the scaled primary current is estimated using the least square technique, with the measured secondary current in the saturated section. The proposed method can estimate the phasor of a fundamental frequency component during the saturated period. The performance of the algorithm is validated under various fault and CT conditions using a C400 CT model. A series of performance evaluations shows that the proposed phasor estimation algorithm can estimate the phasor of the fundamental frequency component with high accuracy, regardless of fault conditions and CT characteristics.