• 센서학회지
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• 제21권2호
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• pp.109-113
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• 2012

We propose an improved interpolating equation to express temperature-resistance characteristics for modern industrial platinum resistance thermometers (PRTs). Callendar-van Dusen equation which has been widely used for platinum resistance thermometer fails to fully describe temperature characteristics of high quality PRTs and leaves systematic residual when the calibration point include temperatures above $300^{\circ}C$. Expanding Callendar-van Dusen to higher-order polynomial drastically improves the uncertainty of the fitting even with reduced degrees of freedom of the fitting. We found that in the fourth-order polynomial fitting, the third-order and fourth-order coefficients have a strong correlation. Using the correlation, we suggest an improved interpolating equation in the form of fourth-order polynomial, but with three fitting parameters. Applying this interpolating equation reduced the uncertainty of the fitting to 32 % of that resulted from the traditional Callendar-van Dusen. This improvement was better than that from a simple third-order polynomial despite that the degrees of the freedom of the fitting was the same.

• 대한전자공학회논문지SP
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• 제42권1호
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• pp.87-94
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• 2005

이 논문에서는 저전력의 DWT(Discrete Wavelet Transform) 필터 뱅크를 설계하는 방식을 제안하였다. 분석단의 기본 저역통과 필터로서 comb 필터를 사용하였으며 comb 필터의 주파수 응답특성을 보완하기 위하여 4차 다항식의 필터를 직렬로 연결한 방식을 제안하였다. 분석단의 고역통과 필터와 합성단의 필터들은 완전복원(perfect reconstruction) 조건을 이용하여 설계하였으며, 이와 같이 설계된 필터들의 최적 필터계수를 얻기 위하여 비용함수를 사용하여 완전복원 조건을 만족하도록 최적화하였다. 제안된 필터 뱅크 설계 결과는 JPEG2000의 (9, 7) 필터 뱅크와 비교하여 실제 이미지를 사용하여 MSE를 비교해본 결과 더 우수한 값을 얻을 수 있었으며, 곱셈의 사용수도 33.3％가 적었다. 따라서 이미지 신호를 압축하는데 널리 사용될 수 있는 저전력 구조임을 입증하였다.

• 조명전기설비학회논문지
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• 제13권4호
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• pp.75-81
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• 1999

본 연구에서는 직교 다항 회귀모델을 이용하여 수용설비의 소비전력을 추정하는 알고리즘을 제시한다. 제시하는 추정모델은 수학적인 방법인 외삽법과 상관법을 이용할 수 있고, 저차의 방정식을 고차의 방정식에 어떤 수정도 없이 그대로 저차의 계수를 사용할 수 있어 다중 회귀모델에 비해 계산시간 및 계산용량이 절약되며, 이것의 반대 상황도 성립하여 소비전력을 추정하는데 매우 유용한 방법이라 할 수 있다. 추정 모델을 2차, 3차 4차로 구성하고 추정한 결과 4차 모델이 양호한 결과를 나타내었으며, 상관법에 의해 수용설비의 소비전력을 추정한 결과 추정 오차율이 2[%] 이하로 양호하였다. 그리고 외삽법에 의해 1997년의 소비전력을 추정한 결과 4차 모델의 추정 오차율이 1[%]대를 나와 추정모델의 유효성과 타당성을 검증할 수 있었다.

• Journal of Microbiology and Biotechnology
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• 제12권3호
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• pp.449-456
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• 2002

The objective of this study was to optimize medium composition of initial pH, tryptone, glucose, yeast extract, and mineral mixture for production of bacteriocin by Lactobacillus acidophilus ATCC 4356, using response surface methodology. A response surface approach including new statistical and plotting methods was employed for design and analysis of the experiment. An interiorly augmented central composite design was used as an experimental design. A normal-distribution log-link generalized linear model based on a subset fourth-order polynomial ($R^2$=0.94, Mean Error Deviance=0.0065) was used as an analysis model. This model was statistically superior to the full second-order polynomial-based generalized linear model ($R^2$=0.80, Mean Error Deviance=0.0140). Nonlinear programming determined the optimum composition of the medium as initial pH 6.35, typtone $1.21\%$, glucose $0.9\%$, yeast extract $0.65\%$, and mineral mixture $1.17\%$. A validation experiment confirmed that the optimized medium was comparable to the MRS medium in bacteriocin production, having the advantage of economy and practicality.

• Structural Engineering and Mechanics
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• 제67권6호
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• pp.603-616
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• 2018

In this study, the acceleration vector in each time step is assumed to be a mth order time polynomial. By using the initial conditions, satisfying the equation of motion at both ends of the time step and minimizing the square of the residual vector, the m+3 unknown coefficients are determined. The order of accuracy for this approach is m+1, and it has a very low dispersion error. Moreover, the period error of the new technique is almost zero, and it is considerably smaller than the members of the Newmark method. The proposed scheme has an appropriate domain of stability, which is greater than that of the central difference and linear acceleration techniques. The numerical tests highlight the improved performance of the new algorithm over the fourth-order Runge-Kutta, central difference, linear and average acceleration methods.

• Structural Engineering and Mechanics
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• 제60권3호
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• pp.455-470
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• 2016

In this paper, we investigate the free vibration of axially loaded non-uniform Rayleigh cantilever beams. The Rayleigh beams account for the rotary inertia effect which is ignored in Euler-Bernoulli beam theory. Using an inverse problem approach we show, that for certain polynomial variations of the mass per unit length and the flexural stiffness, there exists a fundamental closed form solution to the fourth order governing differential equation for Rayleigh beams. The derived property variation can serve as test functions for numerical methods. For the rotating beam case, the results have been compared with those derived using the Euler-Bernoulli beam theory.

• Journal of Electrical Engineering and Technology
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• 제4권2호
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• pp.201-210
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• 2009

A loss minimizing controller is developed for a fuel cell electric vehicle (FCEV) permanent magnet synchronous motor (PMSM). The PMSM losses are modeled by some experimental equations. Applying Lagrangian to the loss function, a necessary condition for the optimality appears to be a fourth order polynomial, and the loss minimizing solutions are obtained by a simple numerical approach. On the other hand, the loss minimizing solutions are found by scanning the motor loss in the entire operating region. The two results agree well. The loss minimizing current sets for given torque and speed are made into a table, which is utilized as a look-up in the current control loop.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2002년도 춘계학술대회 논문집 디스플레이 광소자 분야
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• pp.132-135
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• 2002

In this paper, a new method to implement the photopolymer-based VHOE using the optimized exposure time schedule is proposed. The cumulative grating strength dependence on the exposure energy is mathematically modeled by using the fourth-order polynomial function and then using this model, the optimized exposure-time schedule of the photopolymer for recording the given multiple gratings is calculated.

• 대한기계학회논문집B
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• 제26권7호
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• pp.1005-1013
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• 2002

Spin-up is a transient flow phenomenon occurring in a container when it starts to rotate from rest or its rotational speed increases from a low to high value. However, most studies on this subject have been for two-dimensional approximation. In this study, spin-up flows in a shallow rectangular container are analysed by using three-dimensional computation. We compared our results with those obtained by others using basically two-dimensional computation. Effect of two parameters, Reynolds number and liquid depth on the flow evolution is studied. We found that 2-D result is not accurate enough, and the vertical velocity distribution should be assumed of a fourth-order polynomial function for a better comparison.

• 한국정보디스플레이학회:학술대회논문집
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• 한국정보디스플레이학회 2002년도 International Meeting on Information Display
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• pp.883-886
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• 2002

A new exposure time scheduling scheme to implement the optimized photopolymer-based VHOE is proposed and using this method, the 8-view VHOE system is experimentally developed. The CGS dependence on the exposure energy is mathematically modeled using the fourth-order polynomial function and using this model optimized exposure-time schedule for recording the given multiple gratings in the photopolymer is calculated. In addition, basing on this suggested exposure-time schedule, 8-view VHOE is finally implemented and its performance is discussed.