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Related Concept Videos

Transmission Line Design Considerations01:23

Transmission Line Design Considerations

Aluminum has become the material of choice for overhead transmission lines, surpassing copper due to its abundance and cost-effectiveness. The most prevalent type is the aluminum conductor, steel-reinforced (ACSR), which combines aluminum strands around a steel core. Other variants include all-aluminum conductors (AAC), all-aluminum alloy conductors (AAAC), aluminum conductor alloy-reinforced (ACAR), and aluminum-clad steel conductors. Advanced designs, such as aluminum conductors with steel...
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from the...
Boundary Conditions: Lossless Lines01:21

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...
Series Impedances: Three-Phase Line01:27

Series Impedances: Three-Phase Line

Calculating series impedances for a three-phase overhead line involves evaluating resistances and inductive reactances in a network with three-phase and multiple neutral conductors grounded at regular intervals.
Using Kirchhoff's laws, an integro-differential equation for the network is derived. This equation accounts for unbalanced phase currents, which may induce return currents through neutral wires and the earth, seeking the least impedance path. Earth return conductors can replace the...
Lossless Lines01:23

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...
Traveling Waves: Lossless Lines01:27

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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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Josephson junctions loaded by transmission lines: a revisited problem.

Anedio Ranfagni1, Ilaria Cacciari, Paolo Moretti

  • 1Istituto di Fisica Applicata Nello Carrara del Consiglio Nazionale delle Ricerche, Sesto Fiorentino, Firenze, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
PubMed
Summary

This study reexamines dissipative effects in Josephson junctions connected to transmission lines. It focuses on the time domain to understand junction-load interactions in both symmetric and asymmetric configurations.

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Area of Science:

  • Solid State Physics
  • Quantum Electronics
  • Electrical Engineering

Background:

  • Josephson junctions are crucial in quantum electronics.
  • Dissipative effects in these junctions can impact device performance.
  • Transmission line loading introduces complexities in evaluating these effects.

Purpose of the Study:

  • To reexamine the evaluation of dissipative effects in Josephson junctions.
  • To analyze these effects in both symmetric and asymmetric junction-load configurations.
  • To specifically consider the time domain of the interaction.

Main Methods:

  • Theoretical analysis of Josephson junction behavior.
  • Modeling of transmission line loading effects.
  • Time-domain simulations of junction-load system dynamics.

Main Results:

  • Detailed analysis of dissipative effects under different loading conditions.
  • Identification of key parameters influencing energy dissipation.
  • Understanding of transient behaviors in the time domain.

Conclusions:

  • A refined understanding of dissipative effects in loaded Josephson junctions is achieved.
  • The time-domain perspective is critical for accurate evaluation.
  • Results provide insights for designing and optimizing quantum electronic devices.