• Title/Summary/Keyword: 수학 모델

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Image segmentation using fuzzy worm searching and adaptive MIN-MAX clustering based on genetic algorithm (유전 알고리즘에 기반한 퍼지 벌레 검색과 자율 적응 최소-최대 군집화를 이용한 영상 영역화)

  • Ha, Seong-Wook;Kang, Dae-Seong;Kim, Dai-Jin
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.12
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    • pp.109-120
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    • 1998
  • An image segmentation approach based on the fuzzy worm searching and MIN-MAX clustering algorithm is proposed in this paper. This algorithm deals with fuzzy worm value and min-max node at a gross scene level, which investigates the edge information including fuzzy worm action and spatial relationship of the pixels as the parameters of its objective function. But the conventional segmentation methods for edge extraction generally need the mask information for the algebraic model, and take long run times at mask operation, whereas the proposed algorithm has single operation according to active searching of fuzzy worms. In addition, we also propose both genetic fuzzy worm searching and genetic min-max clustering using genetic algorithm to complete clustering and fuzzy searching on grey-histogram of image for the optimum solution, which can automatically determine the size of ranges and has both strong robust and speedy calculation. The simulation results showed that the proposed algorithm adaptively divided the quantized images in histogram region and performed single searching methods, significantly alleviating the increase of the computational load and the memory requirements.

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Prediction of adiabatic capillary tube length of a vehicle heat pump using carbon dioxide (수송기계 $CO_2$ 히트펌프용 단열 모세관 길이 예측에 관한 연구)

  • Oh, Hoo-Kyu;Choi, Kwang-Hwan;Son, Chang-Hyo;Jeon, Min-Ju
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2011.06a
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    • pp.277-277
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    • 2011
  • 본 논문은 $CO_2$ 히트펌프용 모세관의 기초 설계자료를 제공하기 위해서 모세관 길이 예측에 대해서 이론 및 실험적으로 조사하였다. 본 연구에서 고려된 작동변수로는 증발온도, 가스냉각기 냉각압력, 냉매유량, 모세관의 관경 등이다. 몇몇연구자들의 자료를 바탕으로 $CO_2$ 모세관 길이를 예측할 수 있는 수학적 모델식을 작성하였다. 그리고 단열 모세관 팽창장치내 $CO_2$의 증발온도, 냉매유량, 냉각압력 등에 대해서 실험한 결과, Fig. 1에 나타낸 것처럼, 모세관 길이가 증가할수록 증발온도는 감소하는 것을 알 수 있다. 그리고 증발온도에 대한 실험값과 예측값의 비교 결과, 실험값이 예측값보다 약간 높게 나타났다. $CO_2$냉매가 모세관내를 통과할 때 플래쉬 가스(flash gas)의 발생으로 인해 액상의 양보다 기상의 양이 많아지고 액상의 압력강하보다 기상의 압력강하가 휠씬 더 크기 때문이다. 또한 증발온도에 대한 실험값과 예측값은 6.5~9.9% 이내에서 좋은 일치를 보였다. Fig. 2에 나타낸 것처럼, 모세관 길이가 증가할수록 냉매유량은 감소하는 것을 알 수 있다. 이는 전술한 바와 같이 모세관 길이가 증가할수록 냉매 압력강하가 더욱더 증가하기 때문이다. 그리고 냉매유량에 대한 실험값과 예측값의 비교 결과, 실험값이 예측값보다 약간 높게 나타났다. 이는 전술한 증발온도와 동일한 이유로 실제 $CO_2$냉매가 모세관내를 통과할 때 플래쉬 가스의 발생량이 많아지기 때문이다. 또한 냉매유량에 대한 실험값과 예측값은 0.64~10.9% 이내에서 좋은 일치를 보였다. Fig. 3에 나타낸 것처럼, 모세관 길이가 증가할수록 냉각압력은 증가하는 것을 알 수 있다. 이는 증발온도가 일정한 경우 모세관 길이가 증가할수록 냉매유량이 감소하여 압축기 토출측 온도(압력)가 상승하기 때문이다. 그리고 냉각압력에 대한 실험값과 예측값의 비교 결과, 실험값이 예측값보다 약간 낮게 나타났으며 실험값과 예측값은 1.04~3.7% 이내에서 좋은 일치를 보였다. 따라서 본 연구에서는 수송기계용 $CO_2$ 열펌프 단열 모세관에 대한 기초설계 자료로서, 냉각압력, 증발온도, 모세관 직경, 냉매유량 등의 조건으로부터 모세관 길이를 계산해낼 수 있는 예측 상관식을 제안하였다.

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Experimental Evaluation of Levitation and Imbalance Compensation for the Magnetic Bearing System Using Discrete Time Q-Parameterization Control (이산시간 Q 매개변수화 제어를 이용한 자기축수 시스템에 대한 부상과 불평형보정의 실험적 평가)

  • ;Fumio Matsumura
    • Journal of KSNVE
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    • v.8 no.5
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    • pp.964-973
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    • 1998
  • In this paper we propose a levitation and imbalance compensation controller design methodology of magnetic bearing system. In order to achieve levitation and elimination of unbalance vibartion in some operation speed we use the discrete-time Q-parameterization control. When rotor speed p = 0 there are no rotor unbalance, with frequency equals to the rotational speed. So in order to make levitatiom we choose the Q-parameterization controller free parameter Q such that the controller has poles on the unit circle at z = 1. However, when rotor speed p $\neq$ 0 there exist sinusoidal disturbance forces, with frequency equals to the rotational speed. So in order to achieve asymptotic rejection of these disturbance forces, the Q-parameterization controller free parameter Q is chosen such that the controller has poles on the unit circle at z = $exp^{ipTs}$ for a certain speed of rotation p ( $T_s$ is the sampling period). First, we introduce the experimental setup employed in this research. Second, we give a mathematical model for the magnetic bearing in difference equation form. Third, we explain the proposed discrete-time Q-parameterization controller design methodology. The controller free parameter Q is assumed to be a proper stable transfer function. Fourth, we show that the controller free parameter which satisfies the design objectives can be obtained by simply solving a set of linear equations rather than solving a complicated optimization problem. Finally, several simulation and experimental results are obtained to evaluate the proposed controller. The results obtained show the effectiveness of the proposed controller in eliminating the unbalance vibrations at the design speed of rotation.

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Soil Physical Properties and Traction Characteristics of Non-tilled Paddy Field (경운 작업 전 논토양의 물리성 및 견인력 특성)

  • Park, Won-Yeop;Kim, Lee-Yul;Kim, Jeong-Dong;Lee, Kyou-Seung
    • Korean Journal of Soil Science and Fertilizer
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    • v.36 no.6
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    • pp.367-375
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    • 2003
  • The aim of this study was to investigate the soil physical properties and the traction characteristics of paddy field before tillage by a computer simulation. Soil physical properties, such as soil moisture content, bulk density, soil hardness, and soil texture were measured in the twelve rice production area. Mathematical model based on dimensional analysis which include soil physical properties and vehicle factors was used for the computer simulation. Most of the soil texture of the investigated area was silty loam, loam and silty clay loam. Soil moisture content ranged between 20 and 40% mostly. Soil bulk density was in the range of 1,500 to $1,700kg\;m^{-3}$. Soil hardness ranged between 2 to $12kg\;cm^{-2}$ mostly. Soil hardness incorporates the effects of many soil physical properties such as moisture content, texture and bulk density, and so the range of soil hardness was greater than that of any other physical properties. The predicted net traction was in the range of 70 to 1,500 kgf depending on the area, but it was above 1,000 kgf for most of the investigated area. Thus it was concluded that 50 HP tractor can pull the four row moldboard plow considering the conventional tillage depth and width. But for the soft soil area such as Andong and Namyang, tractor itself may have mobility problem and show high slip during plowing operation.

Mathematical Models of Substrate Utilization within Bacterial Films (미생물막(微生物膜)을 이용(利用)한 폐수처리(廢水處理)의 수학적(數學的) 모델에 관한 연구(研究))

  • Chung, Tai Hak
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.1 no.1
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    • pp.43-51
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    • 1981
  • A model of substrate utilization witbin bacterial films has been developed and simulated for a better understanding of fixed film treatment processes. The model consists of two parts, a deep biofilm and a thin biofilm, which are classified based on substrate penetration into the biofilm. Substrate concentration and flux within a biofilm can be computed from the model. Three dimensionless parameters, ${\phi}_1$, ${\phi}_2$ and $\bar{S}_b$ were obtained during model construction, and the substrate concentration and flux can be expressed in terms of these parameters. It has been found that an. increase of ${\phi}_1$ or a decrease of ${\phi}_2$ results in an increase of treatment efficiencies. It has also been found that systems maintaining high efficiencies belong to a deep biofilm. Among the constants involved, the mass transfer coefficient is the only controllable term and it depends Largely on fluid velocity near the biofilm surface. Substrate removal efficiency may be increased with an increase of fluid velocity for a biofilm of fixed depth. However, film depth is decreased due to sloughing with increasing velocity, and the system reaches a new steady state. Because changes in film depth are not well defined quantitatively yet, the efficiency can not be clearly described at a new steady state.

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Optimum Delivery Frequency for Reducing Construction Logistics Cost under a Carbon Taxation (탄소세 부과시 건설 물류비용 최소화를 위한 운송빈도 최적화)

  • Park, Moon-Seo;Chun, Myung-Hee;Lee, Hyun-Soo;Hwang, Sung-Joo;Jang, Myung-Houn
    • Korean Journal of Construction Engineering and Management
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    • v.12 no.3
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    • pp.73-82
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    • 2011
  • The term 'green' has become an important way of survival for the construction industry in 21th century in accordance with the emergence of the environmental crisis due to the climatic change. Especially the policy of carbon taxation, planed to be introduced from 2012, is expected to be a considerable burden to the construction industry which has abundant carbon emission during the resource transportation due to the complexity of resources and local distribution of the construction sites. In this regard, this study shows an optimizing strategy for delivery frequency, which downsizes the net distribution costs based on the assumption that, despite of its other advantagements, the frequent small lot mode of JIT delivery would take negative effects due to the increase of costs of transportation and carbon emission once the carbon taxation policy carried out. To simulate the efficiency of the management strategies, the System Dynamics modeling has been used. The results show that the frequent small lot transportation strategy is now always efficient method to these changes, and that the frequency of transportation should be re-determinated according to the extent of the imposition of carbon tax. This study provides the conceptual frame for an efficient management of transportation system of the construction industry, showing necessity of change of the resource transportation systems through analysing JIT deliver system in accordance with the global changes in environmental economy.

Modeling of the Cycle Life of a Lithium-ion Polymer Battery (리튬 이온 폴리머 전지의 사이클 수명 모델링)

  • Kim, Ui Seong;Lee, Jungbin;Yi, Jaeshin;Shin, Chee Burm;Choi, Je Hun;Lee, Seokbeom
    • Korean Chemical Engineering Research
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    • v.47 no.3
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    • pp.344-348
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    • 2009
  • One-dimensional modeling was carried-out to predict the capacity loss of a lithium-ion polymer battery during cycling. The model not only accounted for electrochemical kinetics and ionic mass transfer in a battery cell, but also considered the parasitic reaction inducing the capacity loss. In order to validate the modeling, modeling results were compared with the measurement data of the cycling behaviors of the lithium-ion polymer batteries having nominal capacity of 5Ah from LG Chem. The cycling was performed under the protocol of the constant current discharge and the constant current and constant voltage charge. The discharge rate of 1C was used. The range of state of charge was between 1 and 0.2. The voltage was kept constant at 4.2 V until the charge current tapered to 50 mA. The retention capacity of the battery was measured with 1C and 5C discharge rates before the beginning of cycling and after every 100 cycles of cycling. The modeling results were in good agreement with the measurement data.

Design of Modified CGA for Address Autoconfiguration and Digital Signature in Hierarchical Ad Hoc Network (개선된 CGA(Modified CGA)를 이용한 계층적 애드 혹 네트워크에서의 주소 자동 설정 및 전자 서명 제공 방안)

  • Lee, Hye-Won;Kim, Guk-Boh;Mun, Young-Song
    • Journal of KIISE:Information Networking
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    • v.33 no.2
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    • pp.175-182
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    • 2006
  • The CGA proposed by IETF working group prevents address spoofing and stealing and provides digital signature to users, but key collision problem arises. To solve this critical problem, the CGA defines the SEC field within address format, which is set to high value when high security is required and vice versa, but the CGA faces a dilemma between security and the processing time. As SEC value increases, the processing time to generate the CGA grows dramatically while key collision ratio increases if low SEC value is applied to the CGA. We propose modified CGA (MCGA) that has shorter processing time than the CGA and offers digital signature with small overheads. To solve key collision problem, we employ hierarchical ad hoc network. The MCGA is applicable to IPv6 networks as well public networks. In this paper, we design a mathematical model to analyze the processing time for MCGA and CGA first and evaluate the processing time via simulations, where the processing time for MCGA is reduced down 3.3 times when SEC value is set to 0 and 68,000 times when SEC value is set to 1. Further, we have proved that the CGA is inappropriate for both ad hoc networks and IPv6 networks when the SEC field is set to more than 3.

Development of Herbal Chicken Porridge and the Establishment of Optimizing the Mixing Ratio (한방 닭죽 개발 및 최적 배합비율 확립)

  • Kim, Kyung-Yeon;Baik, Moo-Yeol;Park, Cheon-Seok;Choi, Sung-Won;Kim, Chang-Nam;Kim, Byung-Yong
    • The Korean Journal of Food And Nutrition
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    • v.26 no.1
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    • pp.22-28
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    • 2013
  • The objectives of this study were to develop porridge with medicinal herbs and chicken breast meat and to find out the optimum mixing ratio. Several herb extracts such as Acanthopanacis senticosus, Rehmannia glutinosa, Disocorea japonica, and Poria cocos Wolf were used in the ratio of 2, 1, 1, and 1, respectively. The optimum processing condition for herbal chicken porridge was determined by a design expert program. Seventeen experimental points were selected, and herb extracts (82~101 g), chicken breast meat (30~50 g), and glutinous rice (40~60 g) were chosen as the independent variables. The measured responses were preference of taste, DPPH radical scavenging, SOD-like activity, and cost. The optimum formulation of herbal chicken porridge using the numerical analysis was set at herbal extracts (101 g), chicken breast meat (38.66 g), and glutinous rice (41.34 g) with a 0.714 desirability value. DPPH radical scavenging effect, preference of taste and the cost showed a linear model, whereas SOD-like activity showed a quadratic model indicating a higher interaction among the mixture. As a result of proximate composition of optimized herbal chicken porridge, the contents of moisture, carbohydrate, crude protein, crude lipid, and ash contents were 76.4, 9.0, 1.4, 0.5, and 1.6%, the calories of the porridge was 46.1 kcal/100 g.

Evaluation of Surface Moisture Content of Liriodendron tulipifera Wood in the Hygroscopic Range Using NIR Spectroscopy (근적외선 분광분석법을 이용한 백합나무 목재의 섬유포화점 이하 표면함수율 평가)

  • Eom, Chang-Deuk;Han, Yeon-Jung;Chang, Yoon-Sung;Park, Jun-Ho;Choi, Joon-Weon;Choi, In-Gyu;Yeo, Hwan-Myeong
    • Journal of the Korean Wood Science and Technology
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    • v.38 no.6
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    • pp.526-531
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    • 2010
  • For efficient use of wood, it is important to control moisture of wood in processing wood. Near-infrared (NIR) spectroscopy can be used to estimate the physical and chemical properties of materials quickly and nondestructively. In this study, it was intended to measure the moisture contents on the surface of wood using NIR spectroscopy coupled with multivariate analytic statistical techniques. Because NIR spectroscopy is affected by the chemical components of the specimens and contains signal noise, a regression model for detecting moisture content of wood was established after carrying out several numerical pretreatments such as Smoothing, Derivative and Normalization in this study. It shows that the regression model using NIR absorbance in the range of 750~2,500 nm predicts the actual surface moisture content very well. Near-infrared spectroscopy technique developed in this study is expected to improve a technology to control moisture content of wood in using and drying process.