• Title/Summary/Keyword: Mathematic

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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.

Semi-rigid connection modeling for steel frameworks

  • Liu, Yuxin
    • Structural Engineering and Mechanics
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    • v.35 no.4
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    • pp.431-457
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    • 2010
  • This article provides a discussion of the mathematic modeling of connections for designing and qualifying structures, systems, and components subject to monotonic or cyclic loading. To characterize the force-deformation behavior of connections under monotonic loading, a review of the Ramberg-Osgood, Richard-Abbott, and Menegotto-Pinto models is conducted, and it is shown that these nonlinear functions can be mathematically derived by scaling up or down a linear force-deformation function. A generalized four-parameter model for simulating connection behavior is investigated to facilitate nonlinear regression analysis. In order to perform seismic analysis of frameworks, a hysteretic model accounting for loading, unloading, and reloading is described using the established monotonic model. For preliminary analysis, a method is provided to quickly determine the model parameters that fit approximately with the observed data. To reach more accurate values of the parameters, the methods of nonlinear regression analysis are investigated and the modified Levenberg-Marquardt and separable nonlinear least-square algorithms are applied in determining the model parameters. Example case studies illustrate the procedure for the computation through the use of experimental/analytical data taken form the literature. Transformation of connection curves from the three-parameter model to the four-parameter model for structural analysis is conducted based on the modeling of connections subject to fire.

Implementing Linear Models in Genetic Programming to Utilize Accumulated Data in Shipbuilding (조선분야의 축적된 데이터 활용을 위한 유전적프로그래밍에서의 선형(Linear) 모델 개발)

  • Lee, Kyung-Ho;Yeun, Yun-Seog;Yang, Young-Soon
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.5 s.143
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    • pp.534-541
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    • 2005
  • Until now, Korean shipyards have accumulated a great amount of data. But they do not have appropriate tools to utilize the data in practical works. Engineering data contains experts' experience and know-how in its own. It is very useful to extract knowledge or information from the accumulated existing data by using data mining technique This paper treats an evolutionary computation based on genetic programming (GP), which can be one of the components to realize data mining. The paper deals with linear models of GP for the regression or approximation problem when given learning samples are not sufficient. The linear model, which is a function of unknown parameters, is built through extracting all possible base functions from the standard GP tree by utilizing the symbolic processing algorithm. In addition to a standard linear model consisting of mathematic functions, one variant form of a linear model, which can be built using low order Taylor series and can be converted into the standard form of a polynomial, is considered in this paper. The suggested model can be utilized as a designing tool to predict design parameters with small accumulated data.

Self-Study Journey from a Novice to an Expert for Computational Thinking Practices

  • Green, James;Park, Young-Shin
    • Journal of the Korean earth science society
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    • v.42 no.5
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    • pp.588-603
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    • 2021
  • This study details a researcher's self-study journey in advancing from a computational thinking (CT) novice to an expert. The researcher went through a four-stage process, with a preliminary literature review preceding the four stages. From the literature review, the computational thinking analysis (CT_AT) tool was developed for use in stage one to analyze science, technology, engineering, art, and mathematic (STEAM) modules. Although no discernable patterns were found in analyzing the five science and five engineering-based modules, the analysis revealed which CT practices were missing or weakly exposed. In stage two activities were suggested to promote these missing or weakly exposed practices. Stage three required the researcher to develop his own STEAM module from the viewpoint of exposing students to CT. The fourth stage was to validate the CT_AT through interviews with pre-service and in-service teachers. These interviews led to changes in the CT_AT tool and, as a result, the researcher produced a guidebook that could be used by teachers in their own CT studies. This guidebook can be used by teachers to develop and become competent in CT skills.

The Effects of Mathematics Education Program Utilizing Food on 4-Year-Old Children's Mathematical Ability (먹거리를 활용한 유아 수학교육 프로그램이 만 4세 유아의 수학능력에 미치는 효과)

  • Oh, Mi Ra;Min, Ha Young;Cho, Woo Mi
    • Korean Journal of Childcare and Education
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    • v.15 no.3
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    • pp.115-133
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    • 2019
  • Objective: The purpose of the study was to develop a mathematics education program utilizing food to improve the mathematical abilities of 4-year-olds and to analyze the effects of this program on 4-years-olds' mathematical concepts (number and operation, algebra, geometry, measurement, data analysis, and probability). Methods: The study selected 30 4-year-olds from two daycare centers located in K city. The experimental group (N=15) participated in the mathematics education program utilizing food, 10 times for five weeks, while the comparative group (N=15) participated in the seasonal mathematics education program based on the Nuri Curriculum. The activities of this intervention program were designed to cover all domains of Mathematical Exploratory areas in the Nuri Curriculum. For data processing and analysis, pre-test and post-test score differences between the two groups were analyzed through MANCOVA. Results: The experimental group had significantly higher scores on five mathematical concepts compared with the control group. A mathematics education program utilizing food had the positive effect of improving 4-year-olds' mathematical ability. Conclusion/Implications: Mathematic education programs utilizing food are recommended as necessary pedagogical data to develop the mathematical abilities of children in education centers, families, or relating to parenting education.

The Development of Digital Age Literacy: A Case Study in Indonesia

  • MUJTAHID, Iqbal Miftakhul;BERLIAN, Mery;VEBRIANTO, Rian;THAHIR, Musa;IRAWAN, Dedi
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.2
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    • pp.1169-1179
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    • 2021
  • This research aims to develop the instrument of feasible and reliable digital-age literacy to be used in the learning process. This needs to be done due to a different region, tribe, and gender involved in this research. The digital-age literacy developed in this research consisting of 8 constructs, including 1) basic literacy, 2) scientific skill, 3) economy skill, 4) information skill, 5) technology skill, 6) visual skill, 7) various cultures skill, and 8) global awareness. As many as 650 respondents were chosen through stratified and random sampling in this survey. Those respondents were students at Universitas Terbuka based on gender and Ethnicity comparison. To see the internal consistency, the data were then analyzed using SPSS 23.00 version for Windows. It was obtained that all questionnaire constructs were valid and reliable, proven by obtaining a high mean reliability value of Cronbach Alpha (0.816 > 0.6), in which each item had a high value (0.778-0.841). Therefore, the number obtained the results proved that this research had produced a quality instrument that can be used to evaluate the students' mastery of the digital-age literacy of the learning process in Universitas Terbukain Asia, especially in Indonesia.

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.

Cumulative damage modeling for RC girder bridges under probabilistic multiple earthquake scenarios

  • Lang Liu;Hao Luo;Mingming Wang;Yanhang Wang;Changqi Zhao;Nanyue Shi
    • Earthquakes and Structures
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    • v.27 no.4
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    • pp.303-315
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    • 2024
  • This study proposes a comprehensive methodology for estimating accumulative damage of bridge structures under multiple seismic excitations, in the framework of site-specific probabilistic hazard analysis. Specifically, a typical earthquake-prone region in China is chosen to perform probabilistic seismic hazard analysis (PSHA) to find the mean annual rate (MAR) of ground motion intensity at a specific level, based on which, a mass of ground motion observations is selected to construct random earthquake sequences with various number of shocks. Then, nonlinear time history analysis is implemented on the finite element (FE) model of a RC girder bridge at the site of interest, to investigate structural responses under different earthquake sequences, and to develop predictive model for cumulative damage computation, in which, a scalar seismic intensity measure (IM) is adopted and its performance in damage prediction is discussed by an experimental column. Furthermore, a mathematic model is established to calculate occurrence probability of earthquakes with various number of shocks, based on PSHA and homogenous Poisson random process, and a modified cumulative damage indicator is proposed, accounting for probabilistic occurrence of various earthquake scenarios. At end, the applicability of the proposed methodology to main shock and aftershock scenarios is validated, and characteristics of damage accumulation under different multiple earthquake scenarios are discussed.

SLNR-based User Scheduling in Multi-cell networks: from Multi-antenna to Large-Scale Antenna System

  • Li, Yanchun;Zhu, Guangxi;Chen, Hua;Jo, Minho;Liu, Yingzhuang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.3
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    • pp.945-964
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    • 2014
  • In this paper, we investigate the performance of Signal to Leakage and Noise Radio (SLNR) based user scheduling in uplink of multi-cell with large-scale antenna system. Large antenna array is desired to improve the performance in future system by providing better beamforming capability. However, some studies have found that the signal channel is 'hardened' (becomes invariant) when the antenna number goes extremely large, which implies that the signal channel aware user scheduling may have no gain at all. With the mathematic tool of order statistics, we analyzed the signal and interference terms of SLNR in a homogeneous multicell network. The derived distribution function of signal and interference shows that the leakage channel's variance is much more influential than the signal channel's variance in large-scale antenna regime. So even though the signal channel is hardened, the SLNR-based scheduling can achieve remarkable multiuser diversity (MUD) gain due to the fluctuation of the uplink leakage channel. By providing the final SINR distribution, we verify that the SLNR-based scheduling can leverage MUD in a better way than the signal channel based scheduling. The Monte Carlo simulations show that the throughput gain of SLNR-based scheduling over signal channel based scheduling is significant.

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.