• 제목/요약/키워드: Catenary Equation

검색결과 54건 처리시간 0.026초

고속 전철 급전기의 접촉 분리를 고려한 동역학적 해석 (Dynamic Analysis of the Pantograph of a High-speed Electrical Train Considering Contact and Separation)

  • 이기수
    • 한국소음진동공학회논문집
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    • 제16권6호
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    • pp.634-642
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    • 2006
  • For the analysis of dynamic contact between a catenary and a pantograph of high-speed electrical train, the numerical solution of the equations of motion of the vehicle pantograph and the catenary system subjected to the contact condition is obtained. The whole equations of motion of the catenary and the pantograph are simultaneously time integrated with the strict application of the contact condition. For the stability of the numerical solution, with the cubic spline interpolation of the catenary displacement, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Especially it is shown that the Coriolis and centripetal accelerations are critical for the accuracy and stability of the computation.

교류전기철도 급전시스템의 전차선 전압해석 (Analysis for Catenary Voltage of The ATs-Fed AC Electric Railroad System)

  • 이승혁;정현수;김진오
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(I)
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    • pp.490-496
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    • 2002
  • This paper presents exact Autotransformers(ATs)-fed AC electric Railroad system modeling using constant current mode far locomotives. An AC electric railroad system is rapidly changing single-phase load, and at a feeding substation, 3-phase electric power is transferred to paired directional single-phase electric power. As the train moves along a section of line between two adjacent ATs. The proposed AC electric railroad system modeling method considers the line self-impedances and mutual-impedances. The constant current mode model objectives are to calculate the catenary and rail voltages with the loop equation. When there are more than one train in the AC electric railroad system, the principle of superposition applies and the only difference between the system analyses for one train. Finally, this paper shows the general equation of an AC electric railroad system, and that equation has no relation with trains number, trains position, and feeding distance.

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실측 동기화 데이터를 활용한 교류전기철도의 고장점표정장치 임피던스 예측기법 연구 (Study on the Railway Fault Locator Impedance Prediction Method using Field Synchronized Power Measured Data)

  • 전용주;김재철
    • 한국철도학회논문집
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    • 제20권5호
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    • pp.595-601
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    • 2017
  • 전철화 확대의 영향으로 전차선로 변의 고장발생 빈도는 지속적으로 증가하여, 고장위치를 표정하는 시스템의 중요도는 향상되고 있다. 그럼에도 전차선로의 정확한 고장위치 표정은 매우 어려운 현실이다. 본 논문에서는 기존 회로방정식으로 제안된 전차선로 임피던스 계산이론에 대해 현장실측 데이터를 활용하여 보편화 정리하고 변전소 및 운행차량의 전압, 전류 데이터를 동기화 실측하여 전차선로의 임피던스를 예측 하였다. 또한 예측된 전차선로 임피던스값의 유효성 확인을 위해 동일지점에서 열차전류에 따른 임피던스 변화 정도를 시뮬레이션으로 확인하였다. 끝으로 측정 데이터와 지락시험을 통한 데이터를 비교 분석하였다. 본 기법은 강제지락시험, 인공지락시험을 통해 임피던스를 예측하는 현행 방식 대비 열차운행 중단 없이 다수의 데이터를 확보할 수 있고 시간경과에 따른 임피던스 변화에 대해서도 신속하고 편리하게 대응할 수 있는 장점이 있는 것으로 판단된다.

기존선 해빙시스템을 위한 해빙전류 예측기법 및 구성 절차에 관한 연구 (A Study on Deicing Current Estimation Technique and Configuration Process for Deicing System in the Conventional Line)

  • 권삼영;박영;정호성
    • 한국철도학회논문집
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    • 제9권2호
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    • pp.237-243
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    • 2006
  • Deicing system is to melt frost or ice freezed in catenary line when the temperature is lower than $0^{\circ}C$ in winter. The principle of deicing system is to melt frost or ice by Joule heat of catenary impedance. The performance of deicing is dependant of deicing current determined by the length of deicing section, deicing impedance and current division ratio of catenary line and messenger line. So, we present technique for estimating deicing current and process for determination of deicing section in the conventional line. Deicing impedance is estimated using Carson-Pollaczek equation, and current division ratio of catenary line and messenger line is estimated using voltage drop, and deicing current is estimated using power system data of deicing system. For the determination of the final deicing section, we verified estimated value comparing with experiment value of deicing impedance and current division ratio of catenary line and messenger line using low voltage experiment. Finally, we verified the validity of estimation technique and process using a simulated test data of real deicing system operation in the Chungju Substation, Chungbuk line.

고속 궤도차량의 동역학적 모델링 및 해석 (Dynamic Modeling and Analysis of a High Mobility Tracked Vehicle)

  • 이병훈;서병일
    • 대한기계학회논문집A
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    • 제30권11호
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    • pp.1486-1493
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    • 2006
  • This paper presents a dynamic model of a high mobility tracked vehicle composed of rigid bodies. Track is modeled as an extensible cable and the track tension between the sprocket and roller is calculated by the catenary equation. The ground force acting on a road wheel is calculated by the Bekker's pressure-sinkage relationship using the segmented wheel model. System equations of motion and constraint acceleration equations are derived in the joint coordinate space using the velocity transformation method.

고속철도의 가선전류에 의한 고속열차내의 자기장 유도에 대한 연구 (Investigations on the Induced Magnetic Fields in High Speed Train due to the Current in the High Speed Railroad Catenary Wire)

  • 한인수;이태형;박춘수;김기환
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2010년도 춘계학술대회 논문집
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    • pp.36-40
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    • 2010
  • In recent society, the electricity is so essential for the human lives. Lots of modern people take many cultural benefits owing to the development of the power systems, the cell phone, the electrical appliances, and etc. However, the problems related to the electromagnetic field generate as the side effects. Examples are the fault in the electric machinery due to the electromagnetic coupling, the fault in the communication devices due to the electromagnetic field around the power line equipments, and the effect upon the human beings due to the electromagnetic field, and etc. In this paper, we induce the vector equation about the magnetic field based on Biot-Savart law. We calculate the magnetic field at the surface of the high speed train with this induced equation and the current in the high speed railroad catenary wire. Finally, we calculate the magnetic field in the high speed train considering the material property like the permeability, the conductivity, and so on.

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고속전철 가선계 가동 브래킷의 동적하중 계산 (Dynamic Load calculation at the Bracket of High Speed Train Catenary System)

  • 최연선;이승일
    • 한국철도학회논문집
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    • 제9권5호
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    • pp.588-593
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    • 2006
  • The catenary system of a high speed train is designed to have a flexibility to ensure the contact with a pantograph during high speed running. The flexibility inevitably entails a vibration. The vibration is transferred to a utility pole through brackets. Therefore, the examination of the dynamic load at the bracket due to the train running is necessary for the design of the bracket. In this research, an equation of motion is derived to calculate the dynamic load at the bracket during high speed running and a computer program is developed. Also, the analyzed results are compared to characterize the dynamic load at the bracket.

시간 변수를 고려한 전차선로 허용전류 계산 기법 연구 (A Study on Calculation of Permissible Current Capacity on Catenary System)

  • 김주락;권삼영;이기원;창상훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.401-403
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    • 2001
  • This paper presents an advanced calculation method of permissible current capacity on catenary system. If the permissible current calculation method used in electric power system is applied to electric railroad system, it is troublesome. Because electric load in catenary system varies periodically according to time. Therefore, this study proposes permissible current calculation method through heat equation according to time variation.

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Nonlinear analysis of cable-supported structures with a spatial catenary cable element

  • Vu, Tan-Van;Lee, Hak-Eun;Bui, Quoc-Tinh
    • Structural Engineering and Mechanics
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    • 제43권5호
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    • pp.583-605
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    • 2012
  • This paper presents a spatial catenary cable element for the nonlinear analysis of cable-supported structures. An incremental-iterative solution based on the Newton-Raphson method is adopted for solving the equilibrium equation. As a result, the element stiffness matrix and nodal forces are determined, wherein the effect of self-weight and pretension are taken into account. In the case of the initial cable tension is given, an algorithm for form-finding of cable-supported structures is proposed to determine precisely the unstressed length of the cables. Several classical numerical examples are solved and compared with the other available numerical methods or experiment tests showing the accuracy and efficiency of the present elements.

전차선과 팬터그래프 사이의 동적 상호작용 시뮬레이션 (Simulation of the Dynamic Interactions between Catenary and Pantograph)

  • 권삼영;김길상
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 하계학술대회 논문집 A
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    • pp.455-459
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    • 1995
  • Catenary/pantograph system consists of overhead lines which have non-uniform elasticity and pantographs which move at high speed and give force to the lines, therefore happen to be failed in contacts between both from time to time. In this study, as the first step to develop a dynamic simulation program, the general theory is discussed for catenary/pantograph system and appropriate modelling. And comparison is conducted with the references after making a program which referred to the contact force equation algorithm. On this algorithm, the unknown contact force is computed by the equations which was induced as combining catenary and pantograph motion equations expressed in finite difference form. Another simulation program based on the assumed contact forces algorithm was developed. In this algorithm, numerical integraion of both the overhead line and pantograph equations, which without combining, are effected for two assumed values of contact force. The correct contact force is then obtained from these two sets of results by linear interpolation to satisfy the contact condition. Through the comparative review on the outputs from this program, it is verified that this algorithm is reliable.

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