• Title/Summary/Keyword: Mathematic

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A Magnetic Energy Recovery Switch Based Terminal Voltage Regulator for the Three-Phase Self-Excited Induction Generators in Renewable Energy Systems

  • Wei, Yewen;Kang, Longyun;Huang, Zhizhen;Li, Zhen;Cheng, Miao miao
    • Journal of Power Electronics
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    • v.15 no.5
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    • pp.1305-1317
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    • 2015
  • Distributed generation systems (DGSs) have been getting more and more attention in terms of renewable energy use and new generation technologies in the past decades. The self-excited induction generator (SEIG) occupies an important role in the area of energy conversion due to its low cost, robustness and simple control. Unlike synchronous generators, the SEIG has to absorb capacitive reactive power from the outer device aiming to stabilize the terminal voltage at load changes. This paper presents a novel static VAR compensator (SVC) called a magnetic energy recovery switch (MERS) to serve as a voltage controller in SEIG powered DGSs. In addition, many small scale SEIGs, instead of a single large one, are applied and devoted to promote the generation efficiency. To begin with, an expandable mathematic model based on a d-q equivalent circuit is created for parallel SEIGs. The control method of the MERS is further improved with the objective of broadening its operating range and restraining current harmonics by parameter optimization. A hybrid control strategy is developed by taking both of the stand-alone and grid-connected modes into consideration. Then simulation and experiments are carried out in the case of single and double SEIG(s) generation. Finally, the measurement results verify that the proposed DGS with SVC-MERS achieves a better stability and higher feasibility. The major advantages of the mentioned variable reactive power supplier, when compared to the STATCOM, include the adoption of a small DC capacitor, line frequency switching, simple control and less loss.

What Kinds of Mathematics Learning are related to Prospective Elementary School Teachers' Mathematics Pedagogical Content Knowledge? (예비 초등 교사의 수학 교수를 위한 내용 지식과 관련 있는 수학 학습은 무엇인가?)

  • KANG, Eun Kyung
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.251-266
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    • 2015
  • The statement, 'Taking more mathematics would result a better mathematics teacher.' sounds plausible. However, it is questionable that how much of taking university level of mathematics such as abstract algebra and real analysis would affect to teach elementary mathematics well. Would a mathematician be a better teacher for elementary students to teach mathematics than who has been prepared to teach elementary mathematics? This paper reports the effects of opportunities to learn tertiary level mathematics and school level mathematics on pre-service primary school teachers' mathematics pedagogical content knowledge. The study analyzed Teacher Education and Development Study in Mathematics 2008 (TEDS-M 2008) database using multiple regression. Prospective primary teachers who have been prepared as generalist were the focus of the study. The results support future elementary teachers might need to have opportunities to revisit school mathematics they are going to teach.

Source Current Control Strategy of Active Power Filters for Unbalanced Load Compensation in Three-Phase Four-Wire Distribution Networks

  • Wang, Lei;Han, Xiaoqing;Meng, Runquan;Ren, Chunguang;Wang, Qi;Zhang, Baifu
    • Journal of Power Electronics
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    • v.18 no.5
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    • pp.1545-1554
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    • 2018
  • This paper proposes a modified control strategy to improve the performance of three-phase four-leg shunt active power filters (APFs) for the compensation of three phase unbalanced loads. Unbalanced current cannot be obtained accurately by a harmonic detector due to the lower frequency. The proposed control strategy eliminates conventional harmonic detectors by directly regulating the source current. Therefore, the computational complexity is greatly reduced and the performance of the APF is improved. A mathematic model has been developed based on the source currents. The corresponding controllers have been designed based on the sinusoidal internal model principle. The proposed control strategy can guarantee excellent compensation performance and stable operation after an extreme disturbance such as a short circuit fault. In addition, the proposed technique can selectively compensate specific harmonics. A 50kVA prototype APF is implemented in the laboratory to validate the feasibility and performance of the proposed control strategy.

An effect of time gating threshold (TGT) on a delivered dose in internal organ with movement due to respiration (호흡에 의해 내부 움직임을 갖는 장기에 전달되는 선량에서 Time Gating Threshold(TGT)의 효과)

  • Kim, Yon-Lae;Chung, Jin-Bum;Suh, Tae-Suk
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2004.11a
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    • pp.132-135
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    • 2004
  • In this study, we investigated the effect of threshold on a delivered dose in organ with internal motion by respiration. With mathematic model for 3D dose calculation reported by Lujan et al., we had calculated the position of organ as a function of time in previous study. This result presented that the variation of organ is within 2 mm from initial exhale position to the organ position during operating 1 s. Gating threshold, in this study, is determined to the moving region of target during 1s at a primary position of exhale. This period of gating threshold is 50% of the duty cycle in a half breathing cycle which is period from the top position of exhalation to the bottom position of inhalation. Radiation fields were then delivered under three conditions; 1) existent of moving target in the region of threshold(1sec, 1.5sec), 2) existent of moving target out of the region of threshold, 3) non-moving target. The non-moving target delivery represents a dose different induced due to internal organ motion.

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Study on Simulation and Calculation Method of Thermal Error Compensation System for a Ball Screw Feed Drive (볼 스크류 이송장치 열 에러 보상 시스템의 시뮬레이션 및 계산 방법에 관한 연구)

  • Xu, Zhe Zhu;Choi, Chang;Kim, Lae-Sung;Baek, Kwon-In;Lyu, Sung-ki
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.2
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    • pp.88-93
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    • 2017
  • Due to the requirement of the development of the precision manufacturing industry, the accuracy of machine tools has become a key issue in this field. A critical factor that affects the accuracy of machine tools is the feed system, which is generally driven by a ball screw. Basically, to improve the performance of the feed drive system, which will be thermally extended lengthwise by continuous usage, a thermal error compensation system that is highly dependent on the feedback temperature or positioning data is employed in the machine tool system. Due to the overdependence on measuring technology, the cost of the compensation system and low productivity level are inevitable problems in the machine tool industry. This paper presents a novel feed drive thermal error compensation system method that could compensate for thermal error without positioning or temperature feedback. Regarding this thermal error compensation system, the heat generation of components, principal of compensation, thermal model, mathematic model, and calculation method are discussed. As a result, the test data confirm the correctness of the developed feed drive thermal error compensation system very well.

A Case Study of the Scholastic Achievement Grades Results for Junior College Students of Engineering Department according to the Basic Academic Skills: Based on the Case Study of I Junior College (전문대학 공학계열 학생의 기초학습능력 수준에 따른 학업성취도 결과 사례연구: I 전문대학 사례를 중심으로)

  • Han, Sung-Il;Kang, Moon-Sang
    • Journal of Engineering Education Research
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    • v.15 no.5
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    • pp.119-124
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    • 2012
  • The influences of the basic academic skills to the scholastic achievement grades has been researched and we made a test of the basic academic skills(Korean language, mathematic, foreign language) to the students of engineering department in I college in Seoul and analyzed the correlation between the basic academic skills and the scholastic achievement grades. Results show that the scholastic achievement grades has a correlation(r=.456, p<0.01) to the average grade of the basic academic skill test. High level students of the scholastic achievement grades have a correlation(r=.292, p<0.01) to the mathematical department and the others have a correlation(r=.232, p<0.05 and r=.279, p<0.01) to the Korean linguistic department. The results of this study through multiple regression analysis indicate that the scholastic achievement has a relation on Korean language skill. As a result, It is recommendable that the mathematical basic academic skill programs are suggested to the high-level students of the scholastic achievement grades and the linguistic basic academic skill programs to the others. Also, the required basic linguistic subject is needed to the low-level students of the basic academic skills and in this paper, we propose the test and management system for the basic campus-life skills including the basic academic skills and the basic major skills.

Understanding the Estimation of Circumference of the Earth by of Eratosthenes based on the History of Science, For Earth Science Education

  • Oh, Jun-Young
    • Journal of the Korean Society of Earth Science Education
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    • v.10 no.2
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    • pp.214-225
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    • 2017
  • The first accurate estimate of the Earth's circumference was made by the Hellenism scientist Eratosthenes (276-195 B.C.) in about 240 B.C. The simplicity and elegance of Eratosthenes' measurement of the circumference of the Earth by mathematics abstraction strategies were an excellent example of ancient Greek ingenuity. Eratosthenes's success was a triumph of logic and the scientific method, the method required that he assume that Sun was so far away that its light reached Earth along parallel lines. That assumption, however, should be supported by another set of measurements made by the ancient Hellenism, Aristarchus, namely, a rough measurement of the relative diameters and distances of the Sun and Moon. Eratosthenes formulated the simple proportional formula, by mathematic abstraction strategies based on perfect sphere and a simple mathematical rule as well as in the geometry in this world. The Earth must be a sphere by a logical and empirical argument of Aristotle, based on the Greek word symmetry including harmony and beauty of form. We discuss the justification of these three bold assumptions for mathematical abstraction of Eratosthenes's experiment for calculating the circumference of the Earth, and justifying all three assumptions from historical perspective for mathematics and science education. Also it is important that the simplicity about the measurement of the earth's circumstance at the history of science.

A Case Study on Teaching Mathematical Communication via Web-Based Online Discussion (웹 기반 온라인 토론을 통한 수학적 의사소통 지도에 관한 사례연구)

  • 권오남;김인숙
    • School Mathematics
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    • v.5 no.1
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    • pp.77-95
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    • 2003
  • We have web-based online discussion to implement active interaction and a variety of communicative activities. I have gathered the following research questions to study about the meaning of web-based online discussion as a mathematical communication teaching method. First, what changes are there in students mathematical communication ability in web-based online discussion\ulcorner Second, how do students evaluate the web-based online discussion experience\ulcorner In this web-based online discussion, groups of middle school first grade 34 students and each group had chatting at 8 times for 10 weeks. I analyzed what they had discussed by the prints that they had sent me by e-mail. I also surveyed what they had experienced and analyzed them. In this research, the online web based discussion has given positive influence on students' competence of speaking, writing, reading and listening which are crucial to mathematical communication. Students' mathematic thinking power improved and attitudes to mathematics have become more positive.

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Computer Simulation and Verification of Adiabatic Temperature and Apparent Activity Energy of the NiO/Al Aluminothermic System

  • Song, Yuepeng;Zhu, Yanmin;Gao, Dongsheng;Guo, Jing;Kim, Hyoung Seop
    • Journal of Powder Materials
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    • v.20 no.5
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    • pp.332-337
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    • 2013
  • Recently, self-propagating high-temperature synthesis (SHS), related to metallic and ceramic powder interactions, has attracted huge interest from more and more researchers, because it can provide an attractive, energy-efficient approach to the synthesis of simple and complex materials. The adiabatic temperature $T_{ad}$ and apparent activation energy analysis of different thermit systems plays an important role in thermodynamic studies on combustion synthesis. After establishing and verifying a mathematic calculation program for predicting adiabatic temperatures, based on the thermodynamic theory of combustion synthesis systems, the adiabatic temperatures of the NiO/Al aluminothermic system during self-propagating high-temperature synthesis were investigated. The effect of a diluting agent additive fraction on combustion velocity was studied. According to the simulation and experimental results, the apparent activation energy was estimated using the Arrhenius diagram of $ln(v/T_{ad}){\sim}/T_{ad}$ based on the combustion equation given by Merzhanov et al. When the temperature exceeds the boiling point of aluminum (2,790 K), the apparent activation energy of the NiO/Al aluminothermic system is $64{\pm}14$ kJ/mol. In contrast, below 2,790 K, the apparent activation energy is $189{\pm}15$ kJ/mol. The process of combustion contributed to the mass-transference of aluminum reactant of the burning compacts. The reliability of the simulation results was experimentally verified.

Area-to-Area Poisson Kriging Analysis of Mapping of County-Level Esophageal Cancer Incidence Rates in Iran

  • Asmarian, Naeimeh Sadat;Ruzitalab, Ahmad;Amir, Kavousi;Masoud, Salehi;Mahaki, Behzad
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.1
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    • pp.11-13
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    • 2013
  • Background: Esophagus cancer, the third most common gastrointestinal cancer overall, demonstrates high incidence in parts of Iran. The counties of Iran vary in size, shape and population size. The aim of this study was to account for spatial support with Area-to-Area (ATA) Poisson Kriging to increase precision of parameter estimates and yield correct variance and create maps of disease rates. Materials and Methods: This study involved application/ecology methodology, illustrated using esophagus cancer data recorded by the Ministry of Health and Medical Education (in the Non-infectious Diseases Management Center) of Iran. The analysis focused on the 336 counties over the years 2003-2007. ATA was used for estimating the parameters of the map with SpaceStat and ArcGIS9.3 software for analysing the data and drawing maps. Results: Northern counties of Iran have high risk estimation. The ATA Poisson Kriging approach yielded variance increase in large sparsely populated counties. So, central counties had the most prediction variance. Conclusions: The ATAPoisson kriging approach is recommended for estimating parameters of disease mapping since this method accounts for spatial support and patterns in irregular spatial areas. The results demonstrate that the counties in provinces Ardebil, Mazandaran and Kordestan have higher risk than other counties.