• Title/Summary/Keyword: Carson's Method

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Impedance Calculation for Electric Railway System using modified Carson's Method (Modified Carson's Method를 이용한 전차선로의 Impedance 계산)

  • LEE Chunbae;KIM Wanggon;LEE Jongwoo
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.1403-1405
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    • 2004
  • The method proposed by Carson contains indefinite complex integral which simulates earth return current. Although the Carson solution is proposed with power series, the solution is limited and valid at special range of frequency. We proposed a simplified Carson solution by modelling earth current path analytical method using ground transmission line return current. In this paper, we studied on trying to find the equivalent distance for earth current return path.

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Study of the Applicability of the Carson Line Model for the Series Reactance Calculation of the Power Feeding Lines with no Ground Return (전송로의 직렬리앤턴스 산정 시 Carson 모델의 적용범위 검토)

  • Chung, Sang-Gi;Kwon, Sam-Young;Chang, Sang-Hoon;Jang, Dong-Uk
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.2
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    • pp.225-231
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    • 2009
  • In this paper, it is shown that Carson's equation can still be applied for the calculation of the series reactance of transmission lines with no ground return current as well as the one with ground return. It is proved in the following method. First two voltage drop equations for three-phase three wire transmission line are derived, one without considering ground return and the other using Carson's equation. The impedance matrix of the two equations are different from each other. But if we put the condition of zero ground current, $I_a+I_b+I_c=0$, those two equations becomes the identical equations. Therefore even a transmission line is not grounded, its line parameters can still be obtained using the Carson's equation. It has been confused whether or not Carson's equation can be used for an ungrounded system. It is because where ever Carson's equation is shown in the book, it also says that the system has ground return current paths as a premise. It is also verified with EMTP studies on the test circuit.

Applicability Study of the Carson Model for the calculation of the series inductance of the power feeding lines in AC traction system (AC 전기철도 급전선 선로정수 산정시 Carson 모델 적용 검토)

  • Chung, Sang-Gi;Kwon, Sam-Young;Chang, Sang-Hoon;Chang, Dong-Uk
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.169-178
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    • 2008
  • In this paper, it is shown that Carson's equation can still be applied for the calculation of the series reactance of transmission lines with no ground return current as well as the one with ground return. It is proved in the following method. First two voltage drop equations for three-phase three wire transmission line are derived, one without considering ground return and the other using Carson's equation. The impedance matrix of the two equations are different from each other. But if we put the condition of zero ground current, $I_a+I_b+I_c=0$, those two equations becomes the identical equations. Therefore even a transmission line is not grounded, its line parameters can still be obtained using the Carson's equation. It has been confused whether or not Carson's equation can be used for an ungrounded system. It is because where ever Carson's equation is shown in the book, it also says that the system has ground return current paths as a premise. It is also verified with EMTP studies on the test circuit.

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Analysis of Mutual Inductances between Power and Communication Lines above Ground (지표면에 설치된 전력선과 통신선 사이의 상호인덕턴스 분석)

  • Ho, Kwang-Chun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.11 no.1
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    • pp.41-46
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    • 2011
  • The mutual inductances between power line and communication line above ground are studied in this paper. A long power line is discussed and the terminal effect above ground is taken into account. By applying Carson's method, the analytical solution to mutual inductances is derived and numerically evaluated. The analytical solutions derived in this paper are valid for both oblique and parallel proximity between power and communication lines, and the numerical results are compared with previous published results.

A Study on Electrified Railway Traction System Impedance Calculation (전철선로 임피던스계산에 관한 연구)

  • Lee, Chon-Bae;Kim, Wang-Gon;Lee, Jong-Woo
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.1407-1412
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    • 2004
  • Impedance calculations of electric railway traction systems is essential to define characteristics and to design it. The self impedance is defined voltage drop rate per unit length, the mutual impedance is represented as a voltage induced to transmission line from transmission line. The self and the mutual impedance are influenced by ground return currents. The earth is considered as a semi-infinitely extended non-ideal conductor. The current of transmission line produces earth current induced magnetically and it flow through a path having minimum impedance. Carson proposed the impedance calculation formula using wave equations and magnetic field equations. Though the formula have an improper equation, that is still used as a standard impedance calculation method. This paper introduced an impedance calculation method that the complex depth of earth return method assumes that the current in conductor returns through an imagined earth depth path located directly under original conductor at a depth of. In this paper, we showed that this proposed method has a closed form and is easier than Carson's.

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Calculating Mutual Impedance between Power-Line and Communication-Line with Earth Return Current (대지귀로 전류에 의한 전력선과 통신선의 상호임피던스 해석)

  • Lim, Yong-Hun;Hyun, Duck-Hwa
    • Proceedings of the KIEE Conference
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    • 2003.11a
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    • pp.269-271
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    • 2003
  • A method for calculation of mutual inductance from the parallel power-line and earth conduct to communication-line is studied in the paper. The solution for the electromagnetic field produced by an overhead power-line is derived using Maxwell's equations and treating the as a boundary value problem. Total mutual inductance from direct current and image current to communication-line is used Carson's formula for infinitely long parallel conductors.

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A simplified dynamic analysis for estimation of the effect of rotary inertia and diaphragmatic operation on the behaviour of towers with additional masses

  • Michaltsos, G.T.;Konstantakopoulos, T.G.
    • Structural Engineering and Mechanics
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    • v.10 no.3
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    • pp.277-288
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    • 2000
  • The present paper, deals with the dynamic analysis of a thin-walled tower with varying cross-section and additional masses. It, especially, deals with the effect of the rotary inertia of those masses, which have been neglected up to now. Using Galerkin's method, we can find the spectrum of the eigenfrequencies and, also, the shape functions. Finally, we can solve the equations of the problem of the forced vibrations, by using Carson-Laplace's transformation. Applying this method on a tall mast with 2 concentrated masses, we can examine the effect of the rotary inertia and the diaphragmatic operation of the above masses, on the 3 first eigenfrequencies.

Electromagnetic Field Analysis for Basic Estimation of Power Induction Voltage (전력선 유도전압 기초 산출을 위한 전자계 해석)

  • Lee, Sang-Mu;Eun, Chang-Soo
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.5
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    • pp.60-68
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    • 2010
  • The calculation method of induction voltage is abbreviately by the Ohm's law including Carson-Pollaczek's equation for mutual inductance estimation and various shielding effect coefficients. This method is mainly scoped to 60㎐. power source and the inducing/induced object positioned on the air, and the dimension of shielding material is not thoroughly reflected. In this paper, more general method of calculation is scrutinized through electromagnetic wave propagation principles. Electromagnetic force as a voltage in the spot generating from the source is evaluated according to the position of the source and object, especially their relationship with earth surface as boundary line and independent to source propagation frequency. And this method intends to consider the material specification of each object in the induction field.

Post-earthquake Assessment of Mission-Gothic Undercrossing

  • Lou, K.Y.;Ger, J.F.;Yang, R.J.;Cheng, F.Y.
    • Computational Structural Engineering : An International Journal
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    • v.1 no.1
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    • pp.1-9
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    • 2001
  • Collapse behavior of Mission-Gothic Undercrossing under Northridge earthquake is studied by performing nonlinear time-history analysis and three-dimensional nonlinear finite element method for flared columns. Bridge structural model is characterized as three-dimensional with consideration of columns, superstructures, and abutment conditions. Three components of ground motion, corresponding to bridge's longitudinal, transverse, and vertical direction and their combinations are used to investigate bridge collapse. Studies indicate that bridge collapse is dominantly caused by transverse ground motion and the consideration of three-dimensional ground motion leads to a more accurate assessment. Failure mechanism of flared columns is analyzed applying nonlinear finite element method. Reduction of column capacity is observed due to orientation of flare. Further investigation demonstrates that the effects of flare play an important role in predicting of bridge failure mechanism. Suggestions are offered to improve the performance of bridges during severe earthquake.

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Research on Types of Visual Rhythmic Sense in Typography (타이포그래피의 시각적 리듬감 유형 연구)

  • Jung, Yu-Kyung
    • Archives of design research
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    • v.18 no.2 s.60
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    • pp.143-154
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    • 2005
  • Typography in visual communication design is 'potential form' hidden within a space. Showing rhythm in typography is making 'aesthetic sense' in a graphic which has formative characteristics, the way of expression is very important. When the rhythm is recognized through visual stream, Rhythmic Sense is formed. The research will present a new form of the Visual Rhythmic Sense by analyzing typography works out positively. First of all, I researched works done by Fillippo Marinetti, Robert Massin, Wolfgang Weingart, and David Carson for their vigorous experimentalism in typography in forming visual rhythm. I used S.D. Scale method to analyze characteristics of visual image and VARIMAX for factor analysis reaching types of visual rhythm, which could be classified as following. (1) Synesthesia Rhythmic Sense (R-synesthesia) means that the senses are conveyed through 'visualization of auditory sense' and 'visualization of touch' (2) Simultaneous Rhythmic Sense (R-simultaneity) means that the time and space co-exist in one plane. (3) Connective Rhythmic Sense(R-connection) means that different factors (Within one plane) co-exist interacting with one another and creating a unified impression through such a process. (4) Artist Oriented Rhythmic Sense ($-artist) means that the artist interprets the content subjectively and expresses his/her impression, thereby, attracting a gaze of audience systematically and arbitrarily. (5) Reader Oriented Rhythmic Sense(R-reader) avoids the existing legibility formed through aggressive engagement of the reader.

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