• Title/Summary/Keyword: Frequency Equation

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A Method of Computing the Frequency-Dependent Ground Impedance of Horizontally-buried Wires (수평으로 매설된 도선의 접지임피던스의 주파수의존성을 계산하는 기법)

  • Cho, Sung-Chul;Lee, Bok-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.5
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    • pp.745-752
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    • 2016
  • The parameters of Debye's equation were applied to analyze the frequency-dependent ground impedance of horizontally-buried wires. We present a new method, based on Debye's equation, of analyzing the effect of polarization on frequency-dependent ground impedance. The frequency-dependent ground impedances of a horizontally-buried wire are directly measured and calculated by applying sinusoidal current in the frequency range of 100 Hz to 10 MHz. Also, the results obtained in this work were compared with the data calculated from empirical equations and commercial programs. A new methodology using the delta-gap source model is proposed in order to calculate frequency-dependent ground impedance when the ground current is injected at the middle-point of the horizontal ground electrode. The high frequency ground impedance of horizontal electrodes longer than 30 m is larger or equal to its low frequency ground resistance. Consequently, the frequency-dependent ground impedance simulated with the proposed method is in agreement with the experimental data, and the validity of the computational simulation approach is confirmed.

A Study on Optimum Modification of Dynamic Characteristics of Stiffened Plate Using Simplified Equation of Natural Frequency (고유진동수의 간이 추정식을 이용한 보강판 구조물의 동특성의 최적변경에 관한 연구)

  • 박성현;남정길
    • Journal of Advanced Marine Engineering and Technology
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    • v.26 no.1
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    • pp.48-58
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    • 2002
  • There is a purpose of this study for the proposal of the optimum technique utilized for the vibration design initial step. The stiffened plate structure for the ship hull is made for analysis model. To begin with, dynamic characteristics of stiffened plate structure is analysed using FEM. Main vibrational mode of the structure is decided in the analytical result of FEM. The simplified equation on the natural frequency of the main vibrational mode is induced. Next, sensitivity analysis is carried out using the simplified equation, and rate of change of dynamic characteristics is calculated. Then, amount of design variable is calculated using this sensitivity value and optimum structural modification method. The change of natural frequency is made to be an objective function. Thickness of panel, cross section moment of stiffener and girder become a design variable. The validity of the optimization method using simplified equation is examined. It is shown that the result effective in the optimum modification for natural frequency of the stiffened plate structure.

Derivation of Rainfall Intensity-Duration-Frequency Equation Based on the Approproate Probability Distribution (지속기간별 강우자료의 적정분포형 선정을 통한 확률강우강도식의 유도)

  • Heo, Jun-Haeng;Kim, Gyeong-Deok;Han, Jeong-Hun
    • Journal of Korea Water Resources Association
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    • v.32 no.3
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    • pp.247-254
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    • 1999
  • The frequency analyses of annual maximum rainfall data for 22 rainfall gauging stations is Korea were performed. The method of moments (MOM), maximum likelihood (ML), and probability weighted moments (PWM) were used in parameter estimation. The GEV distribution was selected as an appropriate model for annual maximum rainfall data based on parameter validity condition, graphical analysis, separation effect, and goodness of fit tests. For the selected GEV model, spatial analysis was performed and rainfall intensity-duration-frequency equation was derived by using linearization technique. The derived rainfall intensity-duration-frequency equation can be used for estimating rainfall quantiles of the selected stations with convenience and reliability in practice.

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Natural Frequency of 2-Dimensional Heaving Circular Cylinder: Time-Domain Analysis (상하동요하는 2차원 원주의 고유진동수: 시간 영역 해석)

  • Kim, Ki-Bum;Lee, Seung-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.4
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    • pp.224-231
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    • 2013
  • The concept of the natural frequency is useful for understanding the characters of oscillating systems. However, when a circular cylinder floating horizontally on the water surface is heaving, due to the hydrodynamic forces, the system is not governed by the equation like that of the harmonic one. In this paper, in order to shed some lights on the more correct use of the concept of the natural frequency, a problem of the heaving circular cylinder is analyzed in the time domain. The equation of motion, an integro-differential equation, was derived following the fashion of Cummins (1962), and its coefficients including the retardation function were obtained using the numerical solution of Lee (2012). The equation was solved numerically, and the experiment was also carried out in the CNU flume. Using our numerical and experimental results, the natural frequency was defined as its average value given by the motion data excluding those of the initial stage. Our results were then compared with those of the existing investigations such as Maskell and Ursell (1970), Ito (1977) and Yeung (1982) as well as the newly obtained results of Lee (2012). Comparison showed that the natural frequency obtained here agrees well with that of Lee (2012), which was found through the frequency domain analysis. It was also shown that the approximation of heaving motion by a damped harmonic oscillation, which was regarded as suitable by most previous investigators, is not physically suitable for the reason that can be clearly shown through comparing the shape of MCFRs(Modulus of Complex Frequency Response). Furthermore, we found that although the previous approximations yield the damping ratio significantly different from our result the magnitude of natural frequency is not much different from our result.

High-Frequency Circuit Analysis by using Topological Analysis Method (Topological Analysis Method를 이용한 High-Frequency Circuit 해석)

  • Hwang Se-Hoon;Park Yoon-Mi;Lee Jung-Yub;Park Chul-Min;Jung Hyun-Kyo
    • 한국정보통신설비학회:학술대회논문집
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    • 2006.08a
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    • pp.166-169
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    • 2006
  • High Frequency에서 회로를 해석할 때 기존의 Full-wave Analysis Method와는 다른 Topological Analysis Method에 기반한 BLT equation을 도입하여 새로운 해석을 시도해본다. 이 해석방법은 기존의 방법과는 다르게 회로를 junction과 node로 구분하여 회로 방정식을 만들어 해석을 하는 새로운 방식이다. 이 논문에서는 간단한 회로를 제작하여 BLT equation과 기존의 Simulation Tool을 사용한 해석과 실제 실험결과와 비교하면서 BLT equation을 검증하고, 실제적인 적용 회로를 선정하여 해석을 시도하였다.

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연계(連繫)된 전력계통(電力系統)의 최적(最適) 부하주파수(負荷周波數) 제어(制御)

  • Han, Man-Chun;Jang, Seong-Hwan
    • Proceedings of the KIEE Conference
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    • 1979.08a
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    • pp.119-120
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    • 1979
  • A linear state equation of the first order differential form relating the load-frequency dynamic characteristics of interconnected power systems was derived for use in computer simulation. A now solution of the algebraic matrix riccati equation for application in quadratic optimal controllor and least-square state estimator dermination was developed. The program for a dynamic state equation for two interconnected control areas was developed. The optimized load-frequency deviation was analysed and a numerical analysis was tried based on the computer simulation. It was shown that the dynamic response of th loed-frequency could be optimized with weighting factors IR and Q. The result was that the load-frequency and the tie-line deviation were visibly reduced.

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Natural Frequency of 2-dimensional Heaving Circular Cylinder (상하동요하는 2차원 원주의 고유진동수)

  • Lee, Seung-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.4
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    • pp.389-395
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    • 2008
  • It is very well known that the natural frequency of an oscillating body on the free surface is determinable only after the added mass is given. However, it is hard to find analytical investigations in which actually the natural frequency is obtained. Difficulties arise from the fact that in order to determine the natural frequency we need to compute the added mass at least for a range of frequencies, and to solve an equation where the frequency is a variable. In this study, first, a formula is obtained for the added mass, and then an equation for finding the natural frequency is defined and solved by Newton's iteration. It is confirmed that the formula shows a good agreement with the results given by Ursell(1949), and the value of natural frequency is reduced by 21.5% compared to the pre-natural frequency, which is obtained without considering the effect of added mass.

FREQUENTLY CONVERGENT SOLUTIONS OF A DIFFERENCE EQUATION

  • Li, Hui;Bu, Fanqiang;Tao, Yuanhong
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.2
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    • pp.173-181
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    • 2014
  • In this paper, using the definition and properties of frequency measurement, we describe the properties of solutions of a difference equation as the initial value belongs to different intervals of the whole domain. We get the main result that if the initial value belongs to [-1, 1] which is different from $\frac{-1{\pm}\sqrt{5}}{2}$, then the solution defined by initial value have two frequent limits 0 and 1 of the same degree 0.5.

A STUDY ON THE EFFECTIVE ALGORITHMS BASED ON THE WEGMANN'S METHOD

  • Song, Eun-Jee
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.595-602
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    • 2006
  • Determinations of conformal map from the unit disk onto a Jordan region are reduced to solve the Theodorsen equation which is an integral equation for the boundary correspondence function. Among numerical conformal maps the Wegmann's method is well known as a Newton efficient one for solving Theodorsen equation. However this method has not so wide class of convergence. We proposed as an improved method for convergence by applying a low frequency filter to the Wegmann's method. In this paper, we investigate error analysis and propose an automatic algorithm based on this analysis.

Vibration Anatysis on plates Stffened wlth Viscoelastic Beams (점탄성보로 보강된 평판의 진동해석)

  • Choi, Jang-Woo;Jung, Seok-Ju;Jung, Kang
    • Journal of the Korean Society of Safety
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    • v.4 no.1
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    • pp.47-58
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    • 1989
  • This paper treats the vibration analysis of a simply supported rectangular plate stiffened with viscoelastic beams. The effect of viscoelastic beams on the vibration of the plate is analyzed by using Dirac delta function and the equation of motion can be expressed only one equation. The frequency equation is obtained by applying Laplace transformation. The effect of volumes, numben and aspect ratios of beam on the frequency of the plate is analyzed.

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