• Title/Summary/Keyword: mathematical modeling

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Investigation of NO Formation Characteristics in Multi Staged Air Combustor (공기 다단 연소기 화염의 NO 발생특성에 관한 연구)

  • Kim, Han-Seok;An, Guk-Yeong;Baek, Seung-Uk;Yu, Myeong-Jong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.11
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    • pp.1594-1605
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    • 2001
  • In this study, a numerical simulation was developed which was capable of predicting the characteristics of NO formation in pilot scale combustor adopting the air-staged burner flame. The numerical calculation was constructed by means of establishing the mathematical models fur turbulence, turbulent combustion, radiation and turbulent nitric oxide chemistry. Turbulence was solved with standard k-$\xi$ model and the turbulent combustion model was incorporated using a two step reaction scheme together with an eddy dissipation model. The radiative transfer equation was calculated by means of the discrete ordinates method with the weighted sum of gray gases model for CO$_2$and H$_2$O. In the NO chemistry model, the chemical reaction rates for thermal and prompt NO were statistically averaged using the $\beta$ probability density function. The results were validated by comparison with measurements. For the experiment, a 0.2 MW pilot multi-air staged burner has been designed and fabricated. Only when the radiation was taken into account, the predicted gas temperature was in good agreement with the experimental one, which meant that the inclusion of radiation was indispensable for modeling multi-air staged gas flame. This was also true of the prediction of the NO formation, since it heavily depended on temperature. Subsequently, it was found that the multi-air staged combustion technique might be used as a practical tool in reducing the NO formation by controlling the peak flame temperature.

Probabilistic Calibration of Computer Model and Application to Reliability Analysis of Elasto-Plastic Insertion Problem (컴퓨터모델의 확률적 보정 및 탄소성 압착문제의 신뢰도분석 응용)

  • Yoo, Min Young;Choi, Joo Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.9
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    • pp.1133-1140
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    • 2013
  • A computer model is a useful tool that provides solution via physical modeling instead of expensive testing. In reality, however, it often does not agree with the experimental data owing to simplifying assumption and unknown or uncertain input parameters. In this study, a Bayesian approach is proposed to calibrate the computer model in a probabilistic manner using the measured data. The elasto-plastic analysis of a pyrotechnically actuated device (PAD) is employed to demonstrate this approach, which is a component that delivers high power in remote environments by the combustion of a self-contained energy source. A simple mathematical model that quickly evaluates the performance is developed. Unknown input parameters are calibrated conditional on the experimental data using the Markov Chain Monte Carlo algorithm, which is a modern computational statistics method. Finally, the results are applied to determine the reliability of the PAD.

Markov's Modeling for Screening Strategies for Colorectal Cancer

  • Barouni, Mohsen;Larizadeh, Mohammad Hassan;Sabermahani, Asma;Ghaderi, Hossien
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.10
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    • pp.5125-5129
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    • 2012
  • Economic decision models are being increasingly used to assess medical interventions. Advances in this field are mainly due to enhanced processing capacity of computers, availability of specific software to perform the necessary tasks, and refined mathematical techniques. We here estimated the incremental cost-effectiveness of ten strategies for colon cancer screening, as well as no screening, incorporating quality of life, noncompliance and data on the costs and profit of chemotherapy in Iran. We used a Markov model to measure the costs and quality-adjusted life expectancy of a 50-year-old average-risk Iranian without screening and with screening by each test. In this paper, we tested the model with data from the Ministry of Health and published literature. We considered costs from the perspective of a health insurance organization, with inflation to 2011, the Iranian Rial being converted into US dollars. We focused on three tests for the 10 strategies considered currently being used for population screening in some Iranians provinces (Kerman, Golestan Mazandaran, Ardabil, and Tehran): low-sensitivity guaiac fecal occult blood test, performed annually; fecal immunochemical test, performed annually; and colonoscopy, performed every 10 years. These strategies reduced the incidence of colorectal cancer by 39%, 60% and 76%, and mortality by 50%, 69% and 78%, respectively, compared with no screening. These approaches generated ICER (incremental cost-effectiveness ratios) of $9067, $654 and $8700 per QALY (quality-adjusted life year), respectively. Sensitivity analyses were conducted to assess the influence of various scales on the economic evaluation of screening. The results were sensitive to probabilistic sensitivity analysis. Colonoscopy every ten years yielded the greatest net health value. Screening for colon cancer is economical and cost-effective over conventional levels of WTP8.

A Novel Branch Method for Designing Educational Contents (교육용 컨텐츠 설계를 위한 새로운 분기방법)

  • 오용선
    • The Journal of the Korea Contents Association
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    • v.2 no.4
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    • pp.1-8
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    • 2002
  • In this paper, we propose a novel branch method which improve learning effects of the digital contents using a user-friendly access method by taking any conceptual object as the unit of interface. The conceptual objects may exist as a part of one or more contents pages, and we can access them to repeat, replay or return to the original branch point, that elevates the interactions of the digital contents. This method is useful for all kinds of digital contents, but it is especially effective to make educational contents in the field of science, engineering, and language courses because they contain various conceptual elements such as blocks of modeling, mathematical equations, and memorizing units. In addition, if we realize the blanch method proposed in this paper with the conventional page-branch or title-branch methods in the same contents, user interaction will be maximized and learning effects of the contents maybe beautifully improved.

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Mathematical modeling approach for classroom assignment problem (수리적 모델링을 통한 강의실 배정문제 해법에 관한 연구)

  • Ahn, Namsu
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.10
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    • pp.580-587
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    • 2017
  • Recently, as the education population of Korea has been rapidly declining, many changes have been taking place in the university environment. Especially, community colleges linked to local communities have responded to these crises through various educational changes, such as three-year study transfers, work-parallelism, and employee commissioned education. However, such changes in the contents of education are causing a new type of classroom allocation problem, in which it is difficult to assign the limited number of classrooms to the major courses. In this paper, we classified the constraints involved in assigning classrooms into absolute constraints and relative constraints, mathematically modeled them, and allocated the classrooms optimally through optimization software. The results were satisfactory and enabled us to obtain superior results in terms of the various performance indices (classroom utilization rate, teacher satisfaction, etc.) than when assigning classrooms in the normal way.

Linear Quadratic Controller Design of Insect-Mimicking Flapping Micro Aerial Vehicle (곤충모방 날갯짓 비행체의 LQ 제어기 설계)

  • Kim, Sungkeun;Kim, Inrae;Kim, Seungkeun;Suk, Jinyoung
    • Journal of Advanced Navigation Technology
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    • v.21 no.5
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    • pp.450-458
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    • 2017
  • This paper presents dynamic modelling and simulation study on attitude/altitude control of an insect-mimicking flapping micro aerial vehicle during hovering. Mathematical modelling consists of three parts: simplified flapping kinematics, flapping-wing aerodynamics, and six degree of freedom dynamics. Attitude stabilization is accomplished through linear quadratic regulator based on the linearized model of the time-varying nonlinear system, and altitude control is designed in the outer loop using PID control. The performance of the proposed controller is verified through numerical simulation where attitude stabilization and altitude control is done for hovering. In addition, it is confirmed that the attitude channel by periodic control is marginally stable against periodic pitching moment caused by flapping.

Modeling and Simulation of Aircraft Motion for Performance Assessment of Airborne AESA Radar Considering Wind and Vibration (바람과 진동을 고려한 항공기 탑재 AESA 레이다 성능 평가용 운동 모델링 및 시뮬레이션)

  • Lee, Donguk;Im, Jaehan;Lee, Haemin;Jung, Youngkwang;Jeong, Jaehyeon;Shin, Jong-Hwan;Lee, Sungwon;Park, June Hyune;Ahn, Jaemyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.48 no.11
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    • pp.903-910
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    • 2020
  • This paper introduces a simulator to assess the impacts of the wind and the airframe vibration on the performance of the Active Electronically Scanned Array (AESA) radar mounted in an aircraft. The AESA radar is mounted on the nose cone of an aircraft, and vibration occurs due to the drag force. This vibration affects the behavior of the AESA radar and can cause phase errors in signal. The simulator adopts the geometric model for nose cone, the mathematical models on the rigid-body dynamics of the aircraft, the average/turbulent winds, and the mode/ambient vibrations to compute the position and the attitude of the radar accurately. Numerical studies reflecting a set of test scenarios were conducted to demonstrate the effectiveness of the developed simulator.

Design and Implementation of Meta-data Schema for General purpose Simulation Framework (시뮬레이션 프레임워크 구성을 위한 메타정보 스키마 설계 및 구현)

  • Jin, Du-Seok;Jeong, Jae-You;Jung, Hoe-Kyung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.10a
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    • pp.378-381
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    • 2012
  • Increasingly the frequency of use of mathematical modeling and computer simulation, in order to solve complex engineering problems in the field of Applied Science, the researchers need a simulation framework that can make their simulation-based research easier and more convenient. computer simulation framework is composed of various components such as preprocessor, solver, visualization program, computational resources and job scheduler. However until now, no standardized schema for the components of the simulation framework exist, so it is difficult to config that make a general-purpose simulation framework. In other words, most of the existing simulation framework is a structure that provides only limited functionality is dependent on the particular solver code. In this paper, we designed the meta-information schema that can be contained of a various solver code to be used for the simulation framework and we implemented the Web-based simulation environment using our meta-information schema.

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A Calculation Method for the Nonlinear Crowbar Circuit of DFIG Wind Generation based on Frequency Domain Analysis

  • Luo, Hao;Lin, Mingyao;Cao, Yang;Guo, Wei;Hao, Li;Wang, Peng
    • Journal of Power Electronics
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    • v.16 no.5
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    • pp.1884-1893
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    • 2016
  • The ride-through control of a doubly-fed induction generator (DFIG) for the voltage sags on wind farms utilizing crowbar circuits by which the rotor side converter (RSC) is disabled has being reported in many literatures. An analysis and calculation of the transient current when the RSC is switched off are of significance for carrying out the low voltage ride through (LVRT) of a DFIG. The mathematical derivation is highlighted in this paper. The zero-state and zero-input responses of the transient current in the frequency domain through a Laplace transformation are investigated, and the transient components in the time domain are achieved. With the characteristics worked out from the linear resolving without modeling simplification, the selection of the resistance in the linear crowbar circuit and the value conversion from a linear circuit to a nonlinear one is proposed to setup the attenuation rate. In terms of grid code requirements, the theoretical analysis for the time constant of the transient components attenuation insures the controllability when the excitation of the RSC is resumed and it guarantees the reserved time for the response of the reactive power compensation. Simulations are executed in MATLAB/SIMPOWER and experiments are carried out to validate the theoretical analysis. They indicate that the calculation method is effective for selection of the resistance in a crowbar circuit for LVRT operations.

Simulation Study of Dynamic Network Model for L-Threonine Biosynthesis in Escherichia coli (대장균의 동역학 네트워크 모델을 이용한 L-threonine 생합성에 관한 모사 연구)

  • Jung, Uisub;Lee, Jinwon
    • Korean Chemical Engineering Research
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    • v.44 no.1
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    • pp.97-105
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    • 2006
  • In order to investigate the effect of inhibitors on L-threonine biosynthesis in Escherichia coli, we have constructed a metabolic network model of amino acid biosynthesis from L-aspartate to L-threonine by using available informations from literatures and databases. In the model, the effects of inhibitors on the biosynthesis of L-threonine was included as an appropriate mathematical form. For simulation study, we used initial values as L-aspartate 5 mM, ATP 5 mM, NADPH 2 mM, and observed the concentration changes of intermediate metabolites over concentration changes of respective inhibitors. As a result, we found that concentrations of intermediate metabolites were not significantly changed over concentration changes of L-lysine, L-methionine, and L-glutamate. But, there were considerable changes of intermediates over concentration changes of L-serine, L-cysteine, and L-threonine, which can be considered as essential effectors on L-threonine synthesis. Contrary, the synthesis of L-threonine seems to be not related to the amounts of L-aspartate, and inversely proportional to the accumulated amount of D,L-aspartic ${\beta}$-semialdehyde.