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Lossless Lines

Lossless Lines

In electrical engineering, a lossless transmission line is characterized by a purely imaginary propagation constant and a resistive characteristic impedance. The ABCD parameters, which describe the relationship between the input and output voltages and currents, indicate an equivalent π circuit with an imaginary series impedance and a shunt admittance. This results in a transmission line that, when the product of the phase constant (beta) and the length of the line is less than pi, exhibits...

Line Loss

Line Loss

The different configurations of source-load connections include wye (star) and delta connections. The relationship between line and phase voltages and currents varies depending on the configuration. When the source is supplying power, it is transmitted through the wires to the load, and during this transmission, some power is absorbed by the wires, leading to line loss.
Line loss impacts power delivery efficiency in a balanced three-phase circuit. The symmetry in such a circuit simplifies the...

Lossy Lines and Overvoltages

Lossy Lines and Overvoltages

Transmission-line series resistance and shunt conductance cause three primary effects: attenuation, distortion, and power losses.
Attenuation
When constant series resistance and shunt conductance are present, voltage and current equations are modified. The propagation constant indicates that voltage and current waves consist of both forward and backward traveling components. These waves attenuate as they propagate, with the attenuation factor related to the resistance and conductance. In a...

Maximum Power Flow and Line Loadability

Maximum Power Flow and Line Loadability

The maximum power flow for lossy transmission lines is derived using ABCD parameters in phasor form. These parameters create a matrix relationship between the sending-end and receiving-end voltages and currents, allowing the determination of the receiving-end current. This relationship facilitates calculating the complex power delivered to the receiving end, from which real and reactive power components are derived.

Boundary Conditions: Lossless Lines

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...

Traveling Waves: Lossless Lines

Traveling Waves: Lossless Lines

The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.

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Related Experiment Video

Updated: Jun 14, 2026

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Published on: June 25, 2021

Measuring fiber connection loss using steady-state power distribution: a method.

Y Daido, E Miyauchi, T Iwama

|March 24, 2010

Summary

Reproducible optical fiber connection loss measurements require precise control of the far-field pattern (FFP) width. Controlling FFP width to within 3% ensures 0.05-dB loss reproducibility for graded-index fibers.

Related Experiment Videos

Last Updated: Jun 14, 2026

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Published on: June 25, 2021

Area of Science:

Optical Engineering
Telecommunications
Fiber Optics

Background:

Reproducible measurement of optical fiber connection losses is critical for network performance.
Steady-state power distribution is a key factor influencing connection loss.

Purpose of the Study:

To define conditions for reproducible measurement of optical fiber connection losses.
To propose a method for determining fiber power distribution from far-field patterns (FFP).

Main Methods:

Characterizing steady-state power distribution using FFP width.
Developing a method to derive fiber power distribution from measured FFP.
Calculating connection losses for graded-index fibers based on FFP width.

Main Results:

Connection losses for graded-index fibers were calculated for varying FFP widths.
Experimental verification confirmed the calculated results.
A 3% accuracy in FFP width control is necessary for 0.05-dB loss reproducibility.

Conclusions:

Precise control of FFP width is essential for reproducible optical fiber connection loss measurements.
Fiber parameter variations (core radius, numerical aperture, index gradient) must be tightly controlled for consistent loss reproducibility.