• 제목/요약/키워드: Mathematical design

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유리차수 적분을 이용한 전동기 속도제어 (Motor Speed Control Using the Fractional Order Integral)

  • 전용호;강정욱
    • 한국전자통신학회논문지
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    • 제16권3호
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    • pp.503-510
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    • 2021
  • 본 연구는 유리 차수 미분의 수학적인 방법을 시스템의 응답을 제어하는 제어기에 적용하고자 한다. 따라서 제어기로 구성하기 위해서는 유리수 지수에 대한 적분기를 이산시간으로 변환하여 설계한다. IP 제어기는 오차에 대한 적분제어기를 구성하고 비례제어기는 시스템 출력만 적용하는 구조이다. 유리 차수 적분기를 IP 제어기의 적분제어기에 활용함으로 제어기를 설계한다. 먼저 PI 제어기와 IP 제어기의 성능을 비교하고, 설계된 제어기를 전동기의 속도 제어에 적용한다. 그 결과 전동기의 출력상태인 속도가 균일하며 정밀한 제어 성능을 얻을 수 있었다. 정상상태의 속도오차가 0.1 [%] 이내 이고, 오버슈트가 없는 정밀하며 균일한 속도 제어 성능을 가짐을 확인할 수 있었다.

초등예비교사의 교육과정에 관한 노티싱: 비율 수업을 중심으로 (Preservice Elementary Mathematics Teachers' Curricular Noticing: Focusing on the Lesson Planning for Rate)

  • 조미경
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제24권2호
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    • pp.83-102
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    • 2021
  • 교육과정에 관한 노티싱은 교사가 교육과정 자료에 내재된 내용과 교수학적 기회에 대해 어떻게 이해하는지에 관한 것이다. 교육과정에 관한 노티싱에서 교육과정 자료의 어떤 측면에 관심을 기울이고 그것에 관해 어떻게 해석하는지에 따라 교육과정의 실행 모습이 달라지기 때문에, 예비교사교육에서는 수업 전문성 신장을 위해 교육과정에 관한 노티싱의 과정 중 관심을 기울이고 해석하는 과정에 초점을 둘 필요가 있다. 이에 본 연구에서는 초등예비교사가 비율 수업을 설계하기 위하여 교육과정 자료를 활용할 때 관심을 기울이는 대상을 찾고, 그것에 관해 어떻게 해석하는지를 분석하였다. 이러한 분석결과에 따른 논의를 통해 초등예비교사의 수업 설계 역량 신장을 위해 예비교사교육에서 교육과정에 관한 노티싱을 활용하는 방안에 관한 시사점을 도출하였다.

Research on Embodied Carbon Emission in Sino-Korea Trade based on MRIO Model

  • Song, Jie;Kim, Yeong-Gil
    • Journal of Korea Trade
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    • 제25권2호
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    • pp.58-74
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    • 2021
  • Purpose - This paper research on the embodied carbon emission in Sino-Korea trade. It calculates and analyzes the carbon emission coefficient and specific carbon emissions in Sino-Korea trade from 2005 to 2014. Design/methodology - This paper conducted an empirical analysis for embodied carbon emission in Sino-Korea trade during the years 2005-2014, using a multi-region input-output model. First, direct and complete CO2 emission coefficient of the two countries were calculated and compared. On this basis, combined with the world input-output table, the annual import and export volume and sector volume of embodied carbon emission are determined. Then through the comparative analysis of the empirical results, the reasons for the carbon imbalance in Sino-Korea trade are clarified, and the corresponding suggestions are put forward according to the environmental protection policies being implemented by the two countries. Findings - The results show that South Korea is in the state of net trade export and net embodied carbon import. The carbon emission coefficient of most sectors in South Korea is lower than that of China. However, the reduction of carbon emission coefficient in China is significantly faster than that in South Korea in this decade. The change of Korea's complete CO2 emission coefficient shows that policy factors have a great impact on environmental protection. The proportion of intra industry trade between China and South Korea is relatively large and concentrated in mechanical and electrical products, chemical products, etc. These sectors generally have large carbon emissions, which need to be noticed by both countries. Originality/value - To the best knowledge of the authors, this study is the first attempt to research the embodied carbon emission of ten consecutive years in Sino-Korea Trade. In addition, In this paper, some mathematical methods are used to overcome the error problem caused by different statistical caliber in different databases. Finally, the accurate measurement of carbon level in bilateral trade will provide some reference for trade development and environmental protection.

Is the RCEP a Cornerstone or Just Collaboration? Regional General Equilibrium Model Based on GAMS

  • Ahmed, Yosri Nasr;Delin, Huang;Reeberg, Benito Giovanni;Shaker, Victor
    • Journal of Korea Trade
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    • 제24권1호
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    • pp.171-207
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    • 2020
  • Purpose - This paper investigates the potential effect of the Regional Comprehensive Economic Partnership (RCEP) on trade liberalization among member countries in order to answer key questions in our research on whether the RCEP will be a cornerstone or just collaboration. Furthermore, it aims to measure the likely magnitude of the economic impact it has on its members. Design/methodology - Toward achieving research objectives, we developed a regional CGE model based on the GTAP 9 database. Findings - The simulation results show Korea, Australia, India, and Japan ranked the top countries with an average growth in GDP of 0.38 %, 0.36%, 0.29%, and 0.23%, respectively. Moreover, China and New Zealand followed with a percentage of 0.12% each. The lower economic performing group is the ASEAN group due to a contraction in GDP by 0.13%. Accordingly, there was a positive impact of the RCEP agreement on all member states, as empirically demonstrated. Furthermore, Korea is one of the countries that will benefit most from joining this agreement. Finally, this agreement is important; it has many economic benefits to member states, but it is not a cornerstone. Originality/value - The examination of the quantitative effects of tariff removal among the RCEP's countries is its value. We will address all member countries of the convention simultaneously using a regional CGE model GAMS language, where we employed a Mathematical Programming System for General Equilibrium (MPSGE) to establish a Regional CGE model. This study is directed to policymakers looking at evaluating RCEP agreement.

Analytical and experimental investigations on the performance of tuned liquid column ball damper considering a hollow ball

  • Shah, Mati Ullah;Usman, Muhammad;Kim, In-Ho;Dawood, Sania
    • Structural Engineering and Mechanics
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    • 제83권5호
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    • pp.655-669
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    • 2022
  • Passive vibration control devices like tuned liquid column dampers (TLCD) not only significantly reduce buildings' vibrations but also can serve as a water storage facility. The recently introduced modified form of TLCD known as tuned liquid column ball damper (TLCBD) suppressed external vibration efficiently compared to traditional TLCD. For excellent performance, the mass ratio of TLCBD should be in the range of 5% to 7%, which does not include the mass of the ball. This additional mass of the ball increases the overall structure mass. Therefore, in this paper, an effort is made to reduce the mass of TLCBD. For this purpose, a new modified version of TLCBD known as tuned liquid column hollow ball damper (TLCHBD) is proposed. The existing mathematical modeling of TLCBD is used for this new damper by updating the numerical values of the mass and mass moment of the ball. Analytically the optimal design parameters are obtained. Numerically the TLCHBD is investigated with a single degree of freedom structure under harmonic and seismic loadings. It is found that TLCHBD performance is similar to TLCBD in both loadings' cases. To validate the numerical results, an experimental study is conducted. The mass of the ball of TLCHBD is reduced by 50% compared to the ball of TLCBD. Both the arrangements are studied with a multi-degree of freedom structure under harmonic and seismic loadings using a shake table. The results of the experimental study confirm the numerical findings. It is found that the performance behavior of both the dampers is almost similar under harmonic and seismic loadings. In short, the TLCHBD is lighter in weight than TLCBD but has a similar vibration suppression ability.

경사 그루브를 갖는 평판 실의 압력 강하 및 누설 성능 (Pressure Drop and Leakage Performances of Flat Seals with Inclined Grooves)

  • 정진우;정권종;황성호;김태호;김어진
    • Tribology and Lubricants
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    • 제38권5호
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    • pp.213-221
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    • 2022
  • This paper presents performance measurements of pressure drop and leakage flow rate of test flat seals with asymmetric inclined grooves. This study aims to reveal the influence of groove shapes, often machined in radial film riding-face seals, in forming a hydrodynamic wedge on leakage performance. A test facility was developed, and test seals were manufactured to study the effects of the inlet pressure level, ratio of inlet to outlet pressure, seal groove length, and seal groove height on the steady-state pressure drop and leakage performance. A series of tests were conducted, and the test data were compared to the predictions from a simple and efficient mathematical model using a one-dimensional Reynolds equation. The test results revealed that an increase in the inlet pressure increased the pressure drop through the test seals. The leakage flow rate increased significantly as the inlet pressure and ratio of the inlet to outlet pressure increased. The groove shape also affects seal performance. An increase in the groove length and height resulted in an evident increase in the leakage flow rate. The simple model predictions underestimated the leakage flow rates but showed good agreement with the trend in the measurements for all test operating conditions and changes in the groove shape.

SiO2/TiO2 혼합입자 슬러리 SiC CMP의 재료제거율 모델링 (Material Removal Rate Modeling of SiO2/TiO2 Mixed-Abrasive Slurry CMP for SiC)

  • 이현섭
    • Tribology and Lubricants
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    • 제39권2호
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    • pp.72-75
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    • 2023
  • Silicon carbide (SiC) is used as a substrate material for power semiconductors; however, SiC chemical mechanical polishing (CMP) requires considerable time owing to its chemical stability and high hardness. Therefore, researchers are attempting to increase the material removal rate (MRR) of SiC CMP using various methods. Mixed-abrasive CMP (MAS CMP) is one method of increasing the material removal efficiency of CMP by mixing two or more particles. The aim of this research is to study the mathematical modeling of the MRR of MAS CMP of SiC with SiO2 and TiO2 particles. With a total particle concentration of 32 wt, using 80-nm SiO2 particles and 25-nm TiO2 particles maximizes the MRR at 8 wt of the TiO2 particle concentration. In the case of 5 nm TiO2 particles, the MRR tends to increase with an increase in TiO2 concentration. In the case of particle size 10-25 nm TiO2, as the particle concentration increases, the MRR increases to a certain level and then decreases again. TiO2 particles of 25 nm or more continuously decreased MRR as the particle concentration increased. In the model proposed in this study, the MRR of MAS CMP of SiC increases linearly with changes in pressure and relative speed, which shows the same result as the Preston's equation. These results can contribute to the future design of MAS; however, the model needs to be verified and improved in future experiments.

Study of hydrodynamics and iodine removal by self-priming venturi scrubber

  • Jawaria Ahad;Talha Rizwan ;Amjad Farooq ;Khalid Waheed ;Masroor Ahmad ;Kamran Rasheed Qureshi ;Waseem Siddique ;Naseem Irfan
    • Nuclear Engineering and Technology
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    • 제55권1호
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    • pp.169-179
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    • 2023
  • Filtered containment system is a passive safety system that controls the over-pressurization of containment in case of a design-based accidents by venting high pressure gaseous mixture, consisting of air, steam and radioactive particulate and gases like iodine, via a scrubbing system. An indigenous lab scale facility was developed for research on iodine removal by venturi scrubber by simulating the accidental scenario. A mixture of 0.2 % sodium thiosulphate and 0.5 % sodium hydroxide, was used in scrubbing column. A modified mathematical model was presented for iodine removal in venturi scrubber. Improvement in model was made by addition of important parameters like jet penetration length, bubble rise velocity and gas holdup which were not considered previously. Experiments were performed by varying hydrodynamic parameters like liquid level height and gas flow rates to see their effect on removal efficiency of iodine. Gas holdup was also measured for various liquid level heights and gas flowrates. Removal efficiency increased with increase in liquid level height and gas flowrate up to an optimum point beyond that efficiency was decreased. Experimental results of removal efficiency were compared with the predicted results, and they were found to be in good agreement. Maximum removal efficiency of 99.8% was obtained.

Prediction of residual compressive strength of fly ash based concrete exposed to high temperature using GEP

  • Tran M. Tung;Duc-Hien Le;Olusola E. Babalola
    • Computers and Concrete
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    • 제31권2호
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    • pp.111-121
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    • 2023
  • The influence of material composition such as aggregate types, addition of supplementary cementitious materials as well as exposed temperature levels have significant impacts on concrete residual mechanical strength properties when exposed to elevated temperature. This study is based on data obtained from literature for fly ash blended concrete produced with natural and recycled concrete aggregates to efficiently develop prediction models for estimating its residual compressive strength after exposure to high temperatures. To achieve this, an extensive database that contains different mix proportions of fly ash blended concrete was gathered from published articles. The specific design variables considered were percentage replacement level of Recycled Concrete Aggregate (RCA) in the mix, fly ash content (FA), Water to Binder Ratio (W/B), and exposed Temperature level. Thereafter, a simplified mathematical equation for the prediction of concrete's residual compressive strength using Gene Expression Programming (GEP) was developed. The relative importance of each variable on the model outputs was also determined through global sensitivity analysis. The GEP model performance was validated using different statistical fitness formulas including R2, MSE, RMSE, RAE, and MAE in which high R2 values above 0.9 are obtained in both the training and validation phase. The low measured errors (e.g., mean square error and mean absolute error are in the range of 0.0160 - 0.0327 and 0.0912 - 0.1281 MPa, respectively) in the developed model also indicate high efficiency and accuracy of the model in predicting the residual compressive strength of fly ash blended concrete exposed to elevated temperatures.

단계별 성장 개념의 기질 이용과 미생물 호흡모델 개발 (Development of the Substrate Utilization and Respiration Model by the Step Growth Concept)

  • 김연권;서인석;김홍석;김지연
    • 대한토목학회논문집
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    • 제26권4B호
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    • pp.433-437
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    • 2006
  • 최근, 활성 슬러지 공법에 대한 수학적 모델링은 폐수처리장의 설계와 운영에 있어서 매우 중요한 인자로 인식되고 있다. 그럼에도 불구하고, BNR 공정에서 미생물의 성장 및 호흡과 관련한 내 외부 기질의 이용 경로에 관한 정보는 여전히 부족한 실정이다. 본 논문에서는 ASM No.3와 비교되는 새로운 개념의 활성슬러지 모델을 제시하고자 한다. 미생물의 단계별 성장이론에 근거한 이 모텔의 구조는 호기성 저장, 내부저장물질(ISCs; Intercellular Storage Compounds)과 외부기질 활용에 따른 미생물의 성장, 내생호흡과 내부저장물질을 이용한 호기성 호흡 등 5 단계로 구성되어 있다. 단계적 성장모델에 기초한 예측결과는 산소이용율(OUR)과 TCOD에 의한 실험결과에 있어 ASM No.3의 결과보다 더욱 일치함을 나타냈다.