Name: tracing transient waves with a bewley diagram
Uploaded: 2024-11-21T14:54:41.000Z
Duration: 1 min 12 s
Channel: JoVE

컴퓨터에서 이메일을 보내는 것은 단상 무손실 라인을 따라 이동하는 전기 신호와 유사합니다.
Bewley Lattice Diagram은 이 신호가 장애물을 만나거나 라인의 변화를 만날 때 어떤 일이 발생하는지 이해하는 데 도움이 됩니다.
그것은 일시적인 시간 단위와 선 위치로 시간을 그래픽으로 나타내며, 대각선은 진행파를 보여줍니다.
파동이 장애물을 만나면 반사파는 들어오는 파동에 반사 계수를 곱하여 계산됩니다.
라인의 모든 지점에서의 전압은 다이어그램에서 해당 지점 바로 위의 모든 항을 합산하여 결정할 수 있습니다.
예를 들어, 신호가 두 무손실 라인의 접합부를 가로지르면 원래 라인을 따라 반사되고 새 라인으로 굴절됩니다.
접합부의 전압 및 전류에 대한 방정식을 작성하여 들어오는 신호의 관점에서 반사 및 굴절된 신호를 계산할 수 있습니다.
이 프로세스는 두 개 이상의 라인의 접합부로 확장될 수 있으므로 복잡한 전송 라인 네트워크를 이해할 수 있습니다.

송전선: 과도 동작

Bewley Lattice Diagram

L. V. Bewley가 개발한 Bewley 격자 다이어그램은 전송선 과도 현상 동안 발생하는 반사를 효과적으로 구성합니다. 전압파가 전송선 내에서 어떻게 전파되고 반사되는지 시각적으로 표현하여 발생하는 복잡한 상호 작용을 더 쉽게 이해할 수 있습니다.

<img alt="Figure1" src="/files/ftp_upload/16177/16177_PT%20Figure_1.svg" style="height: 250px;">

다이어그램에서 수직 눈금은 선의 과도 시간을 나타내고, 수평 눈금은 선의 위치 x를 나타냅니다. 다이어그램의 대각선은 진행파를 나타냅니다. 각 반사는 한쪽 끝에 도착하는 입사파에 그 끝의 반사 계수를 곱하여 계산합니다.

반사 계수의 값은 수신 및 송신단 모두에 대해 알려져 있습니다. 이러한 계수는 입사파가 전송선의 각 끝에 도달할 때 반사파의 크기와 방향을 결정합니다.

입사 전압파가 선을 따라 이동하고 수신단에서 반사되면 반사파는 다시 이동하여 송신단에서 다시 반사되고 이 프로세스는 계속됩니다. 각 상호 작용, 반사 및 결과 파동은 다이어그램에 표시되어 파동이 시간에 따라 어떻게 전파되는지 보여줍니다.

다이어그램의 어느 지점에서든 전압을 결정하려면 해당 지점 바로 위에 있는 모든 항을 합산합니다. 이 접근 방식을 사용하면 결합된 입사파와 반사파가 주어진 위치와 시간에서 전체 전압에 어떻게 기여하는지 이해할 수 있습니다.

Bewley 격자 다이어그램은 송전선에서 파동 전파를 시각화하고 분석하는 강력한 도구입니다. 특히 과도 전류의 동작을 이해하고 전기 시스템의 효율적인 설계를 보장하는 데 유용합니다. 엔지니어는 반사와 전송을 구성하여 시스템의 다양한 지점에서 전압과 전류를 예측하여 송전선의 설계 및 문제 해결에 도움을 줄 수 있습니다.

컴퓨터에서 이메일을 보내는 것은 단상 무손실 라인을 따라 이동하는 전기 신호와 유사합니다.
Bewley Lattice Diagram은 ...

Education

교육

JoVE Core

Electrical Engineering

전기공학

Unit 1

제1단원

Transmission Lines: Transient Operation

전송선로: 과도 동작

KEY TERMS AND CONCEPTS

주요 용어 및 개념

tracing transient waves with a bewley diagram

The Bewley lattice diagram organizes voltage-wave reflections in transmission-line transients. It helps students follow how a signal moves along a line and bounces back from each end. The diagram was developed by L. V. Bewley.

The vertical axis shows transient time, and the horizontal axis shows the line position x. Diagonal lines show traveling waves. These lines make the wave motion easier to read because each segment marks a wave moving through the line.

Each reflection is found by multiplying the incident wave that reaches an end by the reflection coefficient at that end. The reflection coefficient is known for both the receiving end and the sending end. These values control the size and direction of the reflected wave when the incident wave arrives.

An incident voltage wave can travel to the receiving end, reflect there, and then travel back to the sending end. It can reflect again, and the process continues over time. The diagram shows each interaction and the wave that results from it.

To find the voltage at any point on the diagram, add all of the terms directly above that point. This sum shows how the incident and reflected waves combine at a given place and time. The Bewley lattice diagram is a useful tool for visualizing wave propagation, studying transients, and supporting the design and troubleshooting of transmission lines.

Tracing Transient Waves with a Bewley Diagram

tracing-transient-waves-with-a-bewley-diagram

traveling waves: lossless lines

Wave Speed on Lossless Transmission Lines

Traveling waves on a lossless transmission line are shaped by the line’s inductance and capacitance. The model starts with a single-phase, two-wire line of length Δx. It has loop inductance L H/m and line-to-line capacitance C F/m. A short section of the line can then be treated as a series inductance LΔx and a shunt capacitance CΔx. Voltage v(x,t) and current i(x,t) are written for any position x and time t along the line. Kirchhoff’s Voltage Law, or KVL, is used for the voltage relation.

boundary conditions: lossless lines

Transmission Line Reflections at Both Ends

Single-phase, two-wire, lossless transmission lines show how voltage and current waves reflect at both ends of a circuit. In this model, the line has a length, a surge impedance, and a wave velocity. These are set by the line’s inductance and capacitance per unit length. A home electrical wiring system can be treated this way in a simple circuit model. At the receiving end, the boundary condition says that the voltage equals the receiving-end impedance times the current. This relationship is...

bewley lattice diagram

The Bewley lattice diagram organizes voltage-wave reflections in transmission-line transients. It helps students follow how a signal moves along a line and bounces back from each end. The diagram was developed by L. V. Bewley. The vertical axis shows transient time, and the horizontal axis shows the line position x. Diagonal lines show traveling waves. These lines make the wave motion easier to read because each segment marks a wave moving through the line. Each reflection is found by...

lossy lines and overvoltages

Signal Attenuation and Power Losses

Transmission lines with series resistance and shunt conductance can weaken signals, change wave shape, and waste power. These effects are called attenuation, distortion, and power losses. They matter in long power lines and other practical transmission systems. When constant resistance and conductance are present, the voltage and current equations change. The propagation constant shows that the wave includes both forward-traveling and backward-traveling parts. As the wave moves along the line,...

insulation coordination

BIL and Surge Protection for Power Equipment

Insulation coordination matches electric equipment insulation strength with protective device settings to guard against expected overvoltages. Engineers choose these levels using judgment and cost. The goal is to keep equipment safe while avoiding unnecessary expense. Equipment can usually survive short, high transient overvoltages. Repeated tests with the same waveform can still give inconsistent results. For that reason, standard impulse voltage waveforms are used in testing. These waveforms...

key terms and concepts

Follow voltage waves as they reflect along a transmission line. Learn how the Bewley lattice diagram uses time, position, and reflection coefficients.

Tracing Transient Waves with a Bewley Diagram | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

electrical engineering

Tracing Transient Waves with a Bewley Diagram

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