• 제목/요약/키워드: Equation of a Circle

검색결과 73건 처리시간 0.022초

경계요소법에 의한 3차원 유전체 구의 산란파 수치해석 (Numerical Analysis of the Electromagnetic Waves scattered from a dielectric sphere by the BEM)

  • 김정혜
    • 한국광학회:학술대회논문집
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    • 한국광학회 1990년도 제5회 파동 및 레이저 학술발표회 5th Conference on Waves and lasers 논문집 - 한국광학회
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    • pp.64-68
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    • 1990
  • Boundary element method using linear basis function is applied to obtain fields scattered from a 3-D dielectric sphere. Electric field integral equation is used on the surfaces of the dielectric material where its surface is discretized into trilateral cells. For plane wave incidence, scattered fields by a dielectric sphere is calculated and compared with its analytic solution. The total electric fields are calculated on the great circle of the sphere boundary as well as the outside of the sphere in the plane of the wave vector and the polarization vector of the incident electric field.

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불연속 동작특성을 갖는 전력계통의 RCF법을 사용한 미소신호 안정도 해석 : 상태천이 방정식으로의 모델링 (Small signal stability analysis of power systems with non-continuous operating elements by using RCF method : Modeling of the state transition equation)

  • 김덕영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 A
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    • pp.342-344
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    • 2004
  • In conventional small signal stability analysis, system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of state matrix. However, when a system contains switching elements such as FACTS devices, it becomes non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is by means of eigenvalue analysis of the system periodic transition matrix based on discrete system analysis method. In this research, RCF(Resistive Companion Form) method is used to analyse small signal stability of a non-continuous system including switching elements'. Applying the RCF method to the differential and integral equations of power system, generator, controllers and FACTS devices including switching elements should be modeled in the form of state transition matrix. From this state transition matrix eigenvalues which are mapped to unit circle can be calculated.

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복잡한 3차원 곡면을 가지는 플라스틱 사출 성형품을 위한 진원도의 수학적 모델링 (Mathematical Modeling of the Roundness for Plastic Injection Mold Parts with Complicated 3D curvatures)

  • 윤선진
    • Design & Manufacturing
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    • 제13권2호
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    • pp.6-11
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    • 2019
  • In this study, we constructed the mathematical model to evaluate the roundness for plastic injection mold parts with complicated 3D curvatures. Mathematically we started off from the equation of circle and successfully derived an analytical solution so as to minimize the area of the residuals. On the other hand, we employed the numerical method the similar optimization process for the comparison. To verify the mathematical models, we manufactured and used a ball valve type plastic parts to apply the derived model. The plastic parts was fabricated under the process conditions of 220-ton injection mold machine with a raw material of polyester. we experimentally measured (x, y) position using 3D contact automated system and applied two mathematical methods to evaluated the accuracy of the mathematical models. We found that the analytical solution gives better accuracy of 0.4036 compared to 0.4872 of the numerical solution. The numerical method however may give adaptiveness and versatility for optional simulations such as a fixed center.

구리 산화물 계열 초전도체에서의 스핀 요동에 의한 자체 에너지의 엘리아시버그 계산 (Eliashberg Calculation of the Momentum-Resolved Self-Energy for the Cuprate Superconductors Induced by the Spin Fluctuations)

  • 홍승환;최한용
    • Progress in Superconductivity
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    • 제13권3호
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    • pp.146-150
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    • 2012
  • We solve the momentum resolved d-wave Eliashberg equation employing the magnetic excitation spectrum from the inelastic neutron scattering on the LSCO superconductors reported by Vignolle et al. The magnetic excitation spectrum exhibits 2 peaks: a sharp incommensurate peak at 18 meV at momentum (${\pi}$, ${\pi}{\pm}{\delta}$) and (${\pi}{\pm}{\delta}$, ${\pi}$) and another broad peak near 40~70 meV at momentum (${\pi}$, ${\pi}$). Above 70 meV, the magnetic excitation spectrum has a long tail that is shaped into a circle centered at (${\pi}$, ${\pi}$) with ${\delta}$. The sign of the real part of the self-energy is determined by the momentum position of the peaks of the magnetic excitation spectrum and bare dispersion. We will discuss the effects of the each component of the magnetic excitation spectrum on the self-energy, the pairing self-energy.

기중 차단기용 전자석 조작기 및 3절 링크 설계 (Design of Electromagnetic Actuator with Three-Link Mechanism for Air Circuit Breaker)

  • 김래은;곽상엽;정현교
    • 전기학회논문지
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    • 제58권7호
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    • pp.1321-1328
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    • 2009
  • In this paper, an electromagnetic force driving actuator (EMFA) and three-link mechanism are proposed as a driving mechanism and connection device for low voltage air circuit breaker (ACB). As the result of dynamic characteristic analysis, the actuator and link mechanism are designed from the simulation and manufactured. The magneitc field of the EMFA is analyzed using the finite element method (FEM). The dynamic characteristic analysis with calculation of the circuit equation and kinetical equation is performed by the time difference method (TDM). Also, the result of the analysis is verified through the experiment of the fabrication model. In this paper, the EMFA size is smaller than the actuator for high voltage circuit breaker. Thus, the dynamic characteristic is analyzed with end-winding inductance that is calculated by the same method which is applied on the circle type end-winding of motors. The designed model for 1600 ampere-frame ACB and the three-link mechanism for connecting contact part with actuating part are manufactured. It is confirmed that the three-link mechanism is possible for improving the circuit breaker efficiency and reducing the size of the EMFA. It is proved that the improved 2-D analysis is more accurate than established method.

On the critical maps of the dirichlet functional with volume constraint

  • Koh, Young-Mee
    • 대한수학회보
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    • 제32권2호
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    • pp.303-308
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    • 1995
  • We consider a torus T, that is, a compact surface with genus 1 and $\Omega = D^2 \times S^1$ topologically with $\partial\Omega = T$, where $D^2$ is the open unit disk and $S^1$ is the unit circle. Let $\omega = (x,y)$ denote the generic point on T. For a smooth immersion $u : T \to R^3$, we define the Dirichlet functional by $$ E(u) = \frac{2}{1} \int_{T} $\mid$\nabla u$\mid$^2 d\omega $$ and the volume functional by $$ V(u) = \frac{3}{1} \int_{T} u \cdot u_x \Lambda u_y d\omege $$.

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홍채 영역 분할을 위한 새로운 원 검출 알고리즘 (A Novel Circle Detection Algorithm for Iris Segmentation)

  • 윤웅배;김태윤;오지은;김광기
    • 한국멀티미디어학회논문지
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    • 제16권12호
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    • pp.1385-1392
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    • 2013
  • 최근 생체 정보를 이용한 다양한 방식의 인증 시스템에 대한 연구가 많이 이루어지고 있다. 본 연구에서는 홍체 인식을 위한 홍채 영역 검출을 위하여 임계값의 변경 없이 원둘레의 일부 정보를 이용하여 만들어진 원의 연립방정식을 이용하여 전안부 영상에서의 홍채 영역을 효과적으로 검출할 수 있는 새로운 알고리즘을 제안한다. 제안 알고리즘은 외곽정보를 통해 계산된 원의 중점 좌표가 가장 많이 누적된 영역을 검출될 원의 중점으로 인식하여 검출하게 된다. 이를 위하여 50명의 사람의 전안부 이미지에서 테스트를 통해 알고리즘을 circular hough transform, Daugman의 방법과 비교한 결과, 두 방법에 비하여 속도는 각각 5배, 75배가 향상되었으며, 제안한 방법의 중심위치 정확도는 95.36%로 circular hough transform 방법의 92.43%에 비하여 더 우수한 성능을 나타내었다. 본 연구는 홍채인식을 통한 신분 인증 시스템이나, 전안부 영상을 이용한 질병진단 시스템에서의 유용하게 활용이 될 것이라 예상된다.

평균유속공식을 이용한 부정류 하천유량 산정 (The estimation of river discharge by using the mean velocity equation in a unsteady condition)

  • 추태호;채수권;윤현철;윤관선
    • 한국산학기술학회논문지
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    • 제14권12호
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    • pp.6558-6564
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    • 2013
  • 본 평균유량은 하천의 임의 한 단면에 흐르는 물의 양을 평균적으로 나타내는 지표로서 하천유역의 물 순환구조 파악, 하천시설의 설치, 각종 수공구조물 설계, 친수 공간 이용 및 관리 등을 목적으로 매우 중요하다. 기본적으로 평수기에 측정된 유량 및 수위자료를 바탕으로 수위-유량 관계곡선을 만들어 필요한 유량을 생산하고 있다. 이 방법은 등류상태에서는 잘 일치하나 홍수기 부정류 상태에서는 그 한계성을 보이고 있다. 따라서, 본 논문에서는 Chiu의 2차원 유속공식으로부터 유도된 새로운 평균유속 공식을 사용 하여 루프형 특성을 보이는 부정류 상황에서의 평균유속 산정을 하였다. RMSE 및 폴라그래프 분석 결과 제안된 공식은 기존의 공식들과 비교하여 약 19배 정도의 정확성을 나타내었다.

다이폴 안테나를 이용한 대지면의 복소 유전상수 측정 (The measurement of the ground complex dielectric constant by using the dipole antennas)

  • 홍성욱;김흥수
    • 한국정보통신학회논문지
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    • 제4권2호
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    • pp.357-363
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    • 2000
  • 가시거리 환경에서 수신 전계강도는 반사매질의 전기적 특성에 의해 변화한다. 매질의 전기적 특성을 구하기 위해 안테나의 편파특성에 대한 반사계수 식과 매질에 대한 복소 유전상수의 관계식을 유도하고 수신전력 식을 이용하여 반사계수와 송수신전력의 관계를 원의 방정식으로 표현하였다. 그리고 측정된 전계강도로부터 매질의 전기적 특성을 구하는 알고리즘을 제시하였다.

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Mechanics of lipid membranes subjected to boundary excitations and an elliptic substrate interactions

  • Kim, Chun Il
    • Coupled systems mechanics
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    • 제6권2호
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    • pp.141-155
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    • 2017
  • We present relatively simple derivations of the Helfrich energy potential that has been widely adopted in the analysis of lipid membranes without detailed explanations. Through the energy variation methods (within the limit of Helfrich energy potential), we obtained series of analytical solutions in the case when the lipid membranes are excited through their edges. These affordable solutions can be readily applied in the related membrane experiments. In particular, it is shown that, in case of an elliptic cross section of a rigid substrate differing slightly from a circle and subjected to the incremental deformations, exact analytical expressions describing deformed configurations of lipid membranes can be obtained without the extensive use of Mathieu's function.