• Title/Summary/Keyword: Mathematical Modelling

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Simulation of Synchronous Machines Using Object-Oriented Digital Computer Simulator (객체지향기법을 적용한 디지탈 컴퓨터 시뮬레이터를 이용한 동기 발전기 시뮬레이션)

  • Park, Ji-Ho;Baek, Young-Sik
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.102-105
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    • 1995
  • In power system stability analysis, modelling of the synchronous machine is necessary and vary important. In this paper, a synchronous machine is modeled and simulated by using Object-Oriented method. The mathematical equations describing the dynamic behavior of the synchronous machine is represented by block diagram and Objected-Oriented Digital Computer Simulater(ODCS). The developed method is tested for a one-machine-to-infinite-bus system, which is accurate and very useful for a multi-machine system simulation.

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Possibility of the Didactical Transposition in Computer-based Environment for Mathematics (컴퓨터 환경에서 교수학적 변환의 가능성)

  • 이종영
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.475-484
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    • 1998
  • In this paper, we give descriptions that the choices made in the Knowledge modelling or representation in Computer Evironments can modify the meaning of this knowledge through a process similar to that of the didactical transpostion. Thus, they are likely to have effects on learning. These problems and phenomena are consequences of general constraints of computer and an algorithms built-in computers. Students may not learn the knowledge intended by teacher. Teacher is always on the alert for the changable mathematical knowledge in computer-based environments. It is an important role of teachers in new teaching and learning environment.

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Szász-Kantorovich Type Operators Based on Charlier Polynomials

  • Kajla, Arun;Agrawal, Purshottam Narain
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.877-897
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    • 2016
  • In the present article, we study some approximation properties of the Kantorovich type generalization of $Sz{\acute{a}}sz$ type operators involving Charlier polynomials introduced by S. Varma and F. Taşdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). First, we establish approximation in a Lipschitz type space, weighted approximation theorems and A-statistical convergence properties for these operators. Then, we obtain the rate of approximation of functions having derivatives of bounded variation.

MODELLING OF A THREE-PHASE MEMBRANE REACTOR FOR THE PARTIAL OXIDATION OF PROPANE

  • Criscuoli, Alessandra;Espro, Claudia;Parmaliana, Adolfo;Drioli, Enrico
    • Proceedings of the Membrane Society of Korea Conference
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    • 2003.07a
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    • pp.11-16
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    • 2003
  • A mathematical model describing the performance of a three phase catalytic membrane reactor for the partial oxidation of propane has been developed. The theoretical study pointed out that the recovery of products in the gas phase is strongly related to the membrane hydrophobicity.

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ACCURATE SOLUTION FOR SLIDING BURGER FLUID FLOW

  • ZUBAIR, MUHAMMAD;HAYAT, TASAWAR
    • Journal of applied mathematics & informatics
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    • v.37 no.5_6
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    • pp.429-442
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    • 2019
  • This article addresses the influence of partial slip condition in the hydromagnetic flow of Burgers fluid in a rotating frame of reference.The flows are induced by oscillation of a boundary. Two problems for oscillatory flows are considered. Exact solutions to the resulting boundary value problems are constructed. Analysis has been carried out in the presence of magnetic field. Physical interpretation is made through the plots for various embedded parameters.

Internet Worm Propagation Model Using Centrality Theory

  • Kwon, Su-Kyung;Choi, Yoon-Ho;Baek, Hunki
    • Kyungpook Mathematical Journal
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    • v.56 no.4
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    • pp.1191-1205
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    • 2016
  • The emergence of various Internet worms, including the stand-alone Code Red worm that caused a distributed denial of service (DDoS), has prompted many studies on their propagation speed to minimize potential damages. Many studies, however, assume the same probabilities for initially infected nodes to infect each node during their propagation, which do not reflect accurate Internet worm propagation modelling. Thus, this paper analyzes how Internet worm propagation speed varies according to the number of vulnerable hosts directly connected to infected hosts as well as the link costs between infected and vulnerable hosts. A mathematical model based on centrality theory is proposed to analyze and simulate the effects of degree centrality values and closeness centrality values representing the connectivity of nodes in a large-scale network environment on Internet worm propagation speed.

Heat Transfer in the Combustion Chamber for the Compact Hot-Water Boiler (콤팩트 온수 보일러 연소실의 열전달 특성)

  • Cho, Jung-Hwan;Seo, Tae-Beom;Kim, Wook-Jung;Kim, Chang-Ju
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.459-464
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    • 2001
  • A mathematical model has been developed to describe the turbulent and reversed flow with convective heat transfer in a cylindrical combustion chamber. By using the mathematical model for high temperature flow enables the trends in overall heat transfer rates to be predicted. The model was applied to the design of the combustion chamber. The influences of the size of air inlet and inlet velocity were investigated for process optimization. Through modelling work it is found that the heat transfer rate to the chamber wall may be enhanced by adjusting the air flow and heat transfer pattern through selecting the air inlet condition. Internal plate has less influence to the heat transfer characteristics.

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A New Algorithm for Predicting Process Variables on Welding Bead Geometry for Robotic Arc welding (로봇 아아크 용접에서 비드 형상에 공정변수들을 예측하기 위한 새로운 알고리즘)

  • 김일수
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1997.04a
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    • pp.36-41
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    • 1997
  • With the trend towards welding automation and robozation, mathematical models for studying the influence of various parameters on the weld bead geometry in Gas Metal Arc(GMA) welding process are required. The results of bead on plate welds deposited using the GMA welding process has enabled mathematical relationships to be developed that model the weld bead geometry. Experimental results were compared to outputs obtained using existing formulae that correlate process input variables to output parameters and subsequent modelling was performed in order to better predict the output of the GMA welding process. The aim of this work was to explain the relationships between GMA welding variables and weld bead geometry and thus, be able to predict input weld bead size. The relationships can be usefully employed for open loop process control and also for adaptive control provided that dynamic sensing of process output is performed.

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A Survey for the Development of Machinery Space Simulator (기관구역 시뮬레이터 개발을 위한 기초연구)

  • 정병건
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.1
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    • pp.91-99
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    • 2003
  • This paper describes the development of a pc-based machinery space simulator for training and research, relevant to STCW-95. The detailed mathematical modelling process for the actual machinery is discussed and a method to perform effective education and training for the simulator is suggested. The method includes scenario, procedure, exercise and evaluation. The procedure guides the trainee through a sequence of steps designed to meet a specific goal, showing the trainee what must be done and explaining why The exercise enhances understanding for efficient engine management and enable user to perform research for the machinery. The evaluation shows exercise results and feeds back to instructor how to guide the under-performed trainee.