• Title/Summary/Keyword: auxiliary equation

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TM Wave Scattering by the Perfectly Conducting Strip Loaded with a Dielectric Cylinder (유전체실린더로 둘러 싸인 완전 도체스트립에 의한 TM파의 산란)

  • Kim, Nam-Tae;Lee, Sang-Seol
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.3
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    • pp.7-12
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    • 1990
  • A rigorous analysis of the scattering problem by the perfectly conducting strip loaded with a dielectric cylinder of different permittivity is presented. By introducing auxiliary electromagnetic fields and applying the reciprocity theorem, integral equations for the unknown electric field are derived. These integral equations are transformed into an equivalent matrix equation of infinite order with proper boundary conditions. By calculating inverse matrix of unknown coefficients from this equation, scattered electric fields are determined. In particular case of the dielectric with the same permittivity, the results of this paper correspond to well-known results.

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A Suggestion of New Methodology on Thermoeconomics (열경제학에 대한 새로운 방법론 제안)

  • Kim, Deok-Jin
    • Proceedings of the SAREK Conference
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    • 2009.06a
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    • pp.315-320
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    • 2009
  • Thermoeconomics or exergoeconomics can be classified into the three fields of cost estimating, cost optimization, and internal cost analysis. The objective of cost estimating is to estimate each unit cost of product and allocate each cost flow of product such as electricity or hot water. The objective of optimization is to minimize the input costs of capital and energy resource or maximize the output costs of products under the given constraints. The objective of internal cost analysis is to find out the cost formation process and calculate the amount of cost flow at each state, each component, and overall system. In this study, a new thermoeconomic methodology was proposed in the three fields. The proposed methodology is very simple and obvious. That is, the equation is only each one, and there are no auxiliary equations. Any energy including enthalpy and exergy can be applied and evaluated by this equation. As a new field, the cost allocation methodology on cool air or hot air produced from an air-condition system was proposed. Extending this concept, the proposed methodology can be applied to any complex system.

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A study on the development of CAI program and its application for improving problem-solving - Focused on circular equations - (문제해결력 신장을 위한 CAI프로그램 개발 및 적용에 관한 연구 - 원의 방정식을 중심으로 -)

  • 박달원;홍성기
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.231-242
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    • 1999
  • The focus of this development program is to input multimedia materials into learning according to the trend of recent social changes and to maximize the learning effect for improving problem-solving by offering familiar teaching materials. The expecting effects of this study are as follows: 1. This program helps students acquire mathematical concepts and principles about circular equation through concrete examples using a variety of media - text, voice, sound, and animation and so on - , makes it possible individual learning which was difficult for students to expect at the existing multitude class as progressing learning each unit on the screen and the perfect learning by offering FEED BACK 2. This program varied the difficulty of learning contents to learn according to learning abilities of learners by using animation and making the most of merits of computer and was able to improve learning effect by studying in a mutual way with managing learning procedure nonsuccessively. 3. Class using CAI program about developed circular equation unit has a positive effect on improving problem-solving by becoming from teacher centered class to student centered one. 4. This program makes students understand the contents of auxiliary learning in multimedia computer more efficiently, and cultivate abilities to adopt in accordance with changes in the future society by forming familiar computer mind.

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THE FIRST EIGENVALUE ESTIMATE ON A COMPACT RIEMANNIAN MANIFOLD

  • Kim, Bang-Ok
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.2
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    • pp.229-238
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    • 1993
  • Let M be an n-dimensional compact Riemannian manifold with boundary .part.M. We consider the Neumann eigenvalue problem on M of the equation (Fig.) where .upsilon. is the unit outward normal vector to the boundary .part.M. due to the importance of Poincare inequality for analysis on manifolds, one wishes to obtain the lower bound of the first non-zero eigenvalue .eta.$_{1}$ of (1.1). For the purpose of applications, it is important to relax the dependency of the lower bound on the geometric quantities. For general compact manifolds with convex boundary, Li-Yau [3] obtained the lower bound of .eta.$_{1}$. Recently, Roger Chen [1] investigated the lower bound of the first Neumann eigenvalue .eta.$_{1}$ on compact manifold M with nonconvex boundary. We investigate the lower bound .eta.$_{1}$ with the same conditions as those of Roger chen. But, using the different auxiliary function, we have the following theorem.

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Identification of Model Parameters by Sequential Prediction Error Method (순차적 예측오차 방법에 의한 구조물의 모우드 계수 추정)

  • 윤정방;이창근
    • Computational Structural Engineering
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    • v.3 no.4
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    • pp.143-148
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    • 1990
  • The modal parameter estimations of linear multi-degree-of-freedom structural dynamic systems are carried out in time domain. For this purpose, the equation of motion is transformed into the auto regressive and moving average model with auxiliary stochastic input(ARMAX) model. The parameters of the ARMAX model are estimated by using the sequential prediction error method. Then the modal parameters of the system are obtained thereafter. Experimental results are given for a 3-story budding model subject to ground exitations.

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A Sensorless Speed control of IPMSM using an Adaptive Integral Binary Observer (적응 적분바이너리 관측기를 이용한 돌극형 영구자석 동기전동기 센서리스 속도제어)

  • Lee, Hyoung;Kim, Young-Cho;Kang, Hyoung-Seok;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 2006.04b
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    • pp.229-231
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    • 2006
  • The paper presents a sensorless speed control of interior permanent magnet synchronous motors using an adaptive integral binary observer in view of composition with a main loop regulator and an auxiliary loop regulator. The binary observer has a property of the chattering alleviation in the constant boundary layer; however, the steady state estimation accuracy and robustness are dependent upon with width of the constant boundary. In order to improve the steady state performance of the binary observer, the binary observer is formed by adding extra integral dynamic to the switching hyperplane equation.

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A Speed Control of Permanent Magnet Synchronous Motor using an Adaptive Integral Binary Observer without Speed and Position Sensors (적응적분바이너리 관측기를 이용한 위치 및 속도 센서없는 영구자석 동기전동기의 속도제어)

  • Lee, Joung-Hum;Choi, Yang-Kwang;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 2003.10b
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    • pp.83-85
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    • 2003
  • This paper presents a speed control of permanent magnet synchronous motors (PMSM) using an adaptive integral binary observer without speed and position sensors. In view of composition with a main loop regulator and an auxiliary loop regulator, the binary observer has a property of the chattering alleviation in the constant boundary layer. In order to improve the steady state performance of the binary observer, the proposed adaptive integral binary observer is formed by adding extra integral dynamics to the switching hyperplane equation. The effectiveness of the proposed system is conformed by the experimental results.

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OPTIMAL HOMOTOPY ASYMPTOTIC METHOD SOLUTION OF UNSTEADY SECOND GRADE FLUID IN WIRE COATING ANALYSIS

  • Shah, Rehan Ali;Islam, S.;Siddiqui, A.M.;Haroon, T.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.3
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    • pp.201-222
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    • 2011
  • In the present work, the mathematical model of wire coating in a straight annular die is developed for unsteady second grade fluid in the form of partial differential equation. The Optimal Homotopy Asymptotic Method (OHAM) is applied for obtaining the solution of the model problem. This method provides us a suitable way to control the convergence of the series solution using the auxiliary constants which are optimally determined.

Optimal Sampling Plans of Reliability Using the Complex Number Function in the Complex System

  • Oh, Chung Hwan;Lee, Jong Chul;Cho, Nam Ho
    • Journal of Korean Society for Quality Management
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    • v.20 no.1
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    • pp.158-167
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    • 1992
  • This paper represents the new techniques for optimal sampling plans of reliability applying the mathematical complex number(real and imaginary number) in the complex system of reliability. The research formulation represent a mathematical model Which preserves all essential aspects of the main and auxiliary factors of the research objectives. It is important to formule the problem in good agreement with the objective of the research considering the main and auxilary factors which affect the system performance. This model was repeatedly tested to determine the required statistical chatacteristics which in themselves determine the actual and standard distributions. The evaluation programs and techniques are developed for establishing criteria for sampling plans of reliability effectiveness, and the evaluation of system performance was based on the complex stochastic process(derived by the Runge-Kutta method. by kolmogorv's criterion and the transform of a solution to a Sturon-Liouville equation.) The special structure of this mathematical model is exploited to develop the optimal sampling plans of reliability in the complex system.

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FDTD Analysis of Electromagnetic Wave Propagation in an Inhomogeneous Ionosphere under Arbitrary-Direction Geomagnetic Field

  • Kweon, Jun-Ho;Park, Min-Seok;Cho, Jeahoon;Jung, Kyung-Young
    • Journal of electromagnetic engineering and science
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    • v.18 no.3
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    • pp.212-214
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    • 2018
  • The finite-difference time-domain (FDTD) model was developed to analyze electromagnetic (EM) wave propagation in an inhomogeneous ionosphere. The EM analysis of ionosphere is complicated, owing to various propagation environments that are significantly influenced by plasma frequency, cyclotron frequency, and collision frequency. Based on the simple auxiliary differential equation (ADE) technique, we present an accurate FDTD algorithm suitable for the EM analysis of complex phenomena in the ionosphere under arbitrary-direction geomagnetic field. Numerical examples are used to validate our FDTD model in terms of the reflection coefficient of a single magnetized plasma slab. Based on the FDTD formulation developed here, we investigate EM wave propagation characteristics in the ionosphere using realistic ionospheric data for South Korea.