• 에너지공학
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• 제27권4호
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• pp.103-110
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• 2018

본 논문에서는 Mean Absolute Percentage Error (이하 MAPE)와 Symmetric Mean Absolute Percentage (이하 sMAPE)의 새로운 접근법을 이용한 시계열 예측 모델의 평가 방법을 소개한다. MAPE, sMAPE에는 다음과 같은 문제점이 있다. 데이터 집합에서 관측 값이 0일 경우 평가할 수 없고, 관측 값이 0에 매우 가깝다면 과도한 평가 값을 측정한다. 관측 값과 예측 값 간에 동일한 오차를 가지더라도 다른 값으로 평가하는 문제도 가지고 있다. 동일한 오류 값이 과대 예측되었는지 아니면 과소 예측되었는지에 따라 다른 평가 값을 측정하거나 관측 값의 부호와 예측 값의 부호가 서로 다르면 그 오차는 평가 값에 반영되지 않는다. 이러한 문제는 Maximum Mean Absolute Percentage Error (이하 mMAPE)에 의해 해결하였다. 우리는 MAPE 평가 방법의 분모에서 관측 값을 사용하는 대신 최대 절대 값을 사용했다. 최대 절대 값이 1보다 작으면 분모를 제거하여 0 값이 정의되지 않은 문제와 미세한 값일 경우 과대 측정되는 문제를 해결하였다. Beijing PM2.5의 온도 데이터와 시뮬레이션 데이터를 통해 mMAPE와 다른 평가 방법들의 결과 값을 비교하였으며, 위의 문제들을 해결할 수 있음을 검증하였다.

• Communications for Statistical Applications and Methods
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• 제24권5호
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• pp.493-505
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• 2017

Maximum likelihood estimation (MLE) of the generalized extreme value distribution (GEVD) is known to sometimes over-estimate the positive value of the shape parameter for the small sample size. The maximum penalized likelihood estimation (MPLE) with Beta penalty function was proposed by some researchers to overcome this problem. But the determination of the hyperparameters (HP) in Beta penalty function is still an issue. This paper presents some data adaptive methods to select the HP of Beta penalty function in the MPLE framework. The idea is to let the data tell us what HP to use. For given data, the optimal HP is obtained from the minimum distance between the MLE and MPLE. A bootstrap-based method is also proposed. These methods are compared with existing approaches. The performance evaluation experiments for GEVD by Monte Carlo simulation show that the proposed methods work well for bias and mean squared error. The methods are applied to Blackstone river data and Korean heavy rainfall data to show better performance over MLE, the method of L-moments estimator, and existing MPLEs.

• 대한기계학회논문집
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• 제19권10호
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• pp.2657-2666
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• 1995

In this study, the effects of design factors of finned-tube heat exchanger, such as fin spacing and fin array on the frost growth and heat exchanger performance are investigated under a frosting condition. The results show that the amount of frost, frost density and blockage ratio of air flow passage increase with decreasing fin spacing. Heat transfer rate increases momentarily at the initial stage of frosting and then decreases. After that heat transfer rate continues to increase again to reach a maximum value and then decreases dramatically. It is shown that the time required for heat transfer rate to reach a maximum value becomes shorter with decreasing fin spacing, and after a maximum value, heat transfer rate decreases very fast. The maximum allowable blockage ratio is introduced to determine the operation limit of a finned-tube heat exchanger operating under frosting condition and is obtained as a function of fin spacing. It is also shown that heat transfer rate of heat exchanger with staggered fin array increases about 17% and the amount of pressure drop of air increases about 1~2 mmH$_{2}$O, compared with those of in-line type heat exchanger under frosting condition.

• 천문학회보
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• 제41권1호
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• pp.45.3-46
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• 2016

Solar activity shows a self-similarity as it has many periods of activity cycle in the time series of long-term observation, such as 13.5, 51, 150, 300 days, and 11, 88 years and so on. Since fractal dimension is a quantitative parameter for this kind of an irregular time series, we applied this method to long-term observations including sunspot number, total solar irradiance, and 3.75 GHz solar radio flux to predict the start and maximum times as well as expected maximum sunspot number for the next solar cycle. As a result, we found that the radio flux data tend to have lower fractal dimensions than the sunspot number data, which means that the radio emission from the sun is more regular than the solar activity expressed by sunspot number. Based on the relation between radio flux of 3.75 GHz and sunspot number, we could calculate the expected maximum sunspot number of solar cycle 24 as 156, while the observed value is 146. For the maximum time, estimated mean values from 7 different observations are January 2013 and this is quite different to observed value of February 2014. We speculate this is from extraordinary extended properties of solar cycle 24. As the cycle length of solar cycle 24, 10.1 to 12.8 years are expected, and the mean value is 11.0. This implies that the next solar cycle will be started at December 2019.

• 말소리와 음성과학
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• 제10권4호
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• pp.1-10
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• 2018

This study introduces an automated Praat script allowing optimal formant analysis for children's vowels. Using Burg's algorithm in Praat, formants can be extracted by setting the maximum formant value and the number of formants. The optimal formant setting was determined by identifying the two conditions, F1 and F2, with minimum standard deviations. When applying the optimal formant setting determined by the script, the results of normality tests were not significant among all vowels except /e/ for the maximum formant value, and among the vowels /a/, /e/, /i/, /o/, /u/ and /ʌ/ for the number of formants. This indicates that when analyzing the formants of children's vowel sounds, the unilateral application of a parameter setting (the maximum formant value and the number of formants) to all vowels is problematic. The performance of the optimal formant setting script was evaluated along with 3 different algorithm in order to determine whether it properly extracts formants for children's vowels. To this end, Korean monophghongs of 6-year-old children were collected and the Praat scripts were applied to the data. Resultant Formant plots and statistical analysis showed that optimum_script and qtone_script, which links to the perceptual unit, performed very well in formant extraction compared to the remaining 2 scripts.

• 대한기계학회논문집B
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• 제23권3호
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• pp.398-407
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• 1999

In the present image processing technique, the concept of the gradient indicator(GI) has been introduced to find out the depth-of-field in sizing large particles ranging from $30{\mu}m$ to $30{\mu}m$ where using of the concept of the normalized contrast value(VC) is not appropriate. The gradient indicator is defined as the ratio of the local value to the maximum possible value of the gray-level gradient in an image frame. The gradient indicator decreases with the increases of the particle size and the distance from the exact focal plane. A particle is considered to be in focus when the value of the gradient indicator at its image boundary stays above a critical value. This critical gradient indicator($GI_{critical}$) is defined as the maximum gradient indicator($GI_{max}$) subtracted by a constant ${\Delta}GI$ which is to account for the particle-size effect. In the present ca.so, the value of ${\Delta}GI$ was set to 0.28 to keep the standard deviation of the measured particles mostly within 0.1. It was also confirmed that, to find the depth-of-field for small particles(${\leq}30{\mu}m$) with the same measurement accuracy, tho concept of the critical normalized contrast($VC_{critical}$) is applicable with 85% of the maximum normalized contrast value($VC_{max}$). Finally, the depth-of-field was checked for the size range between $10{\mu}m$ and $300{\mu}m$ when the both in-focus criteria ($GI_{critical}$ and $VC_{critical}$) were adopted. The change of the depth-of-field with the particle size shows good linearity in both the VC-applicable and the GI-applicable ranges with a reasonable accuracy.

• 한국안전학회지
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• 제18권1호
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• pp.44-49
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• 2003

Permanent magnet synchronous motor(PMSM) is widely used in many applications such as an electric vehicle. compressor drives of air conditioner and machine tool spindle drives. PMSM drive system have become a popular choice in various application, due to their excellent power to weight ratio. This paper is proposed maximum torque control for field weakening operation of PMSM drive. At low speeds, the reluctance torque is used to maximize the output for a given current level. This is achieved maximum torque per ampere(MTPA) by selecting an optimal value of the direct stator current component. At high speeds, the system reaches a point at which the inverter will not be able to supply the desired voltage. In this case it is necessary to make use of an increased value the direct current component. The proposed control algorithm is applied to PMSM drive system, the operating characteristics controlled by maximum torque control are examined in detail by simulation.

• 대한수학회보
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• 제54권3호
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• pp.1037-1067
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• 2017

Motzkin and Straus established a close connection between the maximum clique problem and a solution (namely graph-Lagrangian) to the maximum value of a class of homogeneous quadratic multilinear functions over the standard simplex of the Euclidean space in 1965. This connection and its extensions were successfully employed in optimization to provide heuristics for the maximum clique problem in graphs. It is useful in practice if similar results hold for hypergraphs. In this paper, we develop a homogeneous multilinear function based on the structure of hypergraphs and their complement hypergraphs. Its maximum value generalizes the graph-Lagrangian. Specifically, we establish a connection between the clique number and the generalized graph-Lagrangian of 3-uniform graphs, which supports the conjecture posed in this paper.

• 한국지반환경공학회 논문집
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• 제24권1호
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• pp.5-14
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• 2023

본 연구에서는 설계 대상인 현장타설말뚝기초에 대하여 상사율을 고려한 하중전이 대형토조 모형시험과 3차원 수치해석을 수행함으로써 현장타설말뚝 선단부와 주면부의 하중전이 특성을 분석하고 하중분담율을 산정하였다. 대형토조 모형시험 및 3차원 수치해석 결과에서 나타난 현장타설말뚝의 선형적 거동으로부터, 본 연구의 설계 조건에 대한 주면하중전이곡선은 Baquelin 등의 제안식, 선단하중전이곡선은 Baquelin 등의 제안식, 수평하중전이곡선은 Reese 등의 제안식이 적정한 것으로 확인되었다. 암반근입부에서 축하중은 시험값이 수치해석값보다 약간 크게 측정되었지만 암반 근입부에서 하중분담율은 연직하중이 증가함에 따라 평균적으로 약 27.8%의 분담율을 나타내었다. 연직재하 시에 말뚝두부의 침하량은 해석값이 시험값보다 약간 작게 평가되었으며, 모형시험 및 해석 최대 연직하중에서 말뚝두부의 최대 침하량은 시험치 10.6mm, 해석치 10.0mm 이고, 말뚝선단에서 최대 침하량은 시험치 2.0mm, 해석치 1.9mm로 나타났다. 수평재하 시에 기둥 두부(지표)와 말뚝 두부에서 수평변위는 시험값과 해석값이 비교적 잘 일치하는 것으로 나타났고, 모형토조시험 결과 최대 수평변위 38.0mm에서 측정된 수평하중은 24,713kN, 수치해석에서의 수평하중은 26,073kN으로 평가되었다.

• 한국기계가공학회지
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• 제14권2호
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• pp.44-50
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• 2015

This study investigated the durability of the under bar of a car through structural and fatigue analysis. Model 1 had the lowest value among three kinds of models. In the case of the maximum equivalent stress and displacement at structural analysis, model 1 showed the highest durability. Also, models 3 and 2 showed structural durability in order of this value. In the case of fatigue analysis, the maximum fatigue lives of the three models were equal to $2{\times}10^7$cycles. However, model 1 showed the highest value among the three models, as the minimum fatigue life of model 1 becames 92.56 cycles. Also models 3 and 2 showed fatigue durability in order of this value. The maximum possibility of fatigue damage for models1,2,and 3 became 30%. If the results of this study are applied to change the design shape of the under bar of cars, the ride comfort for automobile passengers and car durability can be improved.