• Title/Summary/Keyword: mathematic model

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Improved Trigger System for the Suppression of Harmonics and EMI Derived from the Reverse-Recovery Characteristics of a Thyristor

  • Wei, Tianliu;Wang, Qiuyuan;Mao, Chengxiong;Lu, Jiming;Wang, Dan
    • Journal of Power Electronics
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    • v.17 no.6
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    • pp.1683-1693
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    • 2017
  • This paper analyses the harmonic pollution to power grids caused by thyristor-controlled devices. It also formulates a mathematic derivation for the voltage spikes in thyristor-controlled branches to explain the harmonic and EMI derived from the reverse-recovery characteristics of the thyristor. With an equivalent nonlinear time-varying voltage source, a detailed simulation model is established, and the periodic dynamic switching characteristic of the thyristor can be explicitly implied. The simulation results are consistent with the probed results from on-site measurements. An improved trigger system with gate-shorted circuit structure is proposed to reduce the voltage spikes that cause EMI. The experimental results indicate that a prototype with the improved trigger system can effectively suppress the voltage spikes.

A hybrid conventional computer simulation via GDQEM and Newmark-beta techniques for dynamic modeling of a rotating micro nth-order system

  • Fan, Linyuan;Zhang, Xu;Zhao, Xiaoyang
    • Advances in nano research
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    • v.12 no.2
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    • pp.167-183
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    • 2022
  • In this paper, the free and forced vibration analysis of rotating cantilever nanoscale cylindrical beams and tubes is investigated under the external dynamic load to examine the nonlocal effect. A couple of nonlocal strain gradient theories with different beams and tubes theories, involving the Euler-Bernoulli, Timoshenko, Reddy beam theory along with the higher-order tube theory, are assumed to the mathematic model of governing equations employing the Hamilton principle in order to derive the nonlocal governing equations related to the local and accurate nonlocal boundary conditions. The two-dimensional functional graded material (2D-FGM), made by the axially functionally graded (AFG) in conjunction with the porosity distribution in the radial direction, is considered material modeling. Finally, the derived Partial Differential Equations (PDE) are solved via a couple of the generalized differential quadrature element methods (GDQEM) with the Newmark-beta techniques for the time-dependent results. It is indicated that the boundary conditions equations play a crucial task in responding to nonlocal effects for the cantilever structures.

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.

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.

Development of a Computer Program Predicting Sterilization Effects on Target Microorganisms (살균 Target 미생물 사멸효과 예측 프로그램 개발)

  • 신해헌;김영준;조원일;최준봉;최동원
    • The Korean Journal of Food And Nutrition
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    • v.16 no.3
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    • pp.180-186
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    • 2003
  • In order to prediction of lethal effects on target microorganisms, this study was developed the program in the basis of Excel that was systemized with Visual Basic. This program was automatically calculated the lethal effects (L and Fo value) by using thermal characteristics (D and z value), kinetic model and mathematic model. For the selection of target microorganisms, we are selected two microorganisms because of spoilage increasing by acid production and decreasing quality of food, and heat resistance microorganisms. The target microorganisms were Bacillus cereus (D$_{121.1}$=0.0065 min, z=7.8$^{\circ}C$) and Bacillus subtilis (D$_{121.1}$=0.5 min, z =12$^{\circ}C$). The program was developed for the target microorganisms, and that was very useful for various microorganisms that direct introducing known D and z value.

Application model research on visualizing anti-inflammation effects by using the virtual cell (가상세포를 활용한 항염증 효능 응용모델 연구)

  • Kim, Chul;Yea, Sang-Jun;Kim, Jin-Hyun;Kim, Sang-Kyun;Jang, Hyun-Chul;Kim, An-Na;Nam, Ky-Youb;Song, Mi-Young
    • Herbal Formula Science
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    • v.18 no.2
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    • pp.227-239
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    • 2010
  • Objective : The purpose of this study was to develop the simulator which can analyze the anti-inflammatory effects of herbs based on e-cell, or the virtual cell. Method : We have ensured the medical herbs and its active compounds by investigating the oriental medicine records and NBCI(Biomedicine database). Also we have developed the web-based search system for confirming database related to anti-inflammation. We have researched the cell signal pathway related with inflammatory response control and established the mathematical model of herb interaction on selected signal pathway in e-cell. Finally we have developed the prototype which can confirm the result of this model visibly. Results : We constructed the database of 62 cases of anti-inflammatory active compounds in 61 cases of medical herbs which have been known anti-inflammation effects in the paper, 16 cases of inflammatory factors, 10 cases of signal pathways related with inflammatory response and 6,834 cases of URL(Uniform Resource Locator) of referenced papers. And we embodied the web-based research system, which can research this database. User can search basic and detailed information of medical plants related with anti-inflammatory by using information system. And user can acquire information on an active compounds, a signal pathway and a link URL of related paper. Among investigated ten pathways, we selected NF-${\kappa}B$, which plays important role in activation of immune system, and we searched the mechanisms of actions of proteins which could be components of this pathway. We reduced total network into IKK-$I{\kappa}B$ - NF-${\kappa}B$, and completed mathematic modeling by using ordinary differential equations and response variables of $I{\kappa}B-NF-{\kappa}B$ signaling model network which is suggested by Baltimore Group. We designed OED(Ordinary Differential Equation) for response of IKK, $I{\kappa}B$, $NF-{\kappa}B$ in e-cell's cytoplasm and nucleus, and measured whether an active compound of medicinal plants which is inputted by an user would have a anti-inflammation effects in obedience to change in concentration over time. The proposed model was verified by using experimental results of the papers which are listed on NCBI.

A Model for Measuring the R&D Project Similarity using Patent Information (특허 정보를 활용한 R&D 과제 유사도 측정 모델)

  • Kim, Jong-Bae;Byun, Jung-Won;Sun, Dong-Ju;Kim, Tae-Gyun;Kim, Yung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.5
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    • pp.1013-1021
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    • 2014
  • For efficient investments of government budgets, It is important to analyze the similarities of R&D projects. So, existing studies have proposed a techniques for analyzing similarities using keywords or segments. However, the techniques have low accuracy. We propose a technique for similarities of projects using patent information. To achieve our goal, we suggest three metrics that are based some mathematic theories; set theory and probability theory. In order to validate our technique, we perform case studies that have 156 R&D projects and 160,218 patent informations.

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.

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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Fostering Algebraic Reasoning Ability of Elementary School Students: Focused on the Exploration of the Associative Law in Multiplication (초등학교에서의 대수적 추론 능력 신장 방안 탐색 - 곱셈의 결합법칙 탐구에 관한 수업 사례 연구 -)

  • Choi, Ji-Young;Pang, Jeong-Suk
    • School Mathematics
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    • v.13 no.4
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    • pp.581-598
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    • 2011
  • Given the growing agreement that algebra should be taught in the early stage of the curriculum, considerable studies have been conducted with regard to early algebra in the elementary school. However, there has been lack of research on how to organize mathematic lessons to develop of algebraic reasoning ability of the elementary school students. This research attempted to gain specific and practical information on effective algebraic teaching and learning in the elementary school. An exploratory qualitative case study was conducted to the fourth graders. This paper focused on the associative law of the multiplication. This paper showed what kinds of activities a teacher may organize following three steps: (a) focus on the properties of numbers and operations in specific situations, (b) discovery of the properties of numbers and operations with many examples, and (c) generalization of the properties of numbers and operations in arbitrary situations. Given the steps, this paper included an analysis on how the students developed their algebraic reasoning. This study provides implications on the important factors that lead to the development of algebraic reasoning ability for elementary students.

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