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Transmission-line series resistance and shunt conductance cause three primary effects: attenuation, distortion, and power losses.
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Traveling Waves: Lossless Lines01:27

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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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When analyzing a single line-to-ground fault from phase A to ground at a three-phase bus, it is important to consider the fault impedance. This impedance is zero for a bolted fault, equal to the arc impedance for an arcing fault, and represents the total fault impedance for a transmission-line insulator flashover. To derive sequence and phase currents, fault conditions are translated from the phase domain to the sequence domain.
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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.
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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.
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Structural Damage Identification Based on Transmissibility in Time Domain.

Yunfeng Zou1, Xuandong Lu1, Jinsong Yang2

  • 1School of Civil Engineering, Central South University, Changsha 410075, China.

Sensors (Basel, Switzerland)
|January 11, 2022
PubMed
Summary

This study introduces a new structural damage identification method using time-domain transmissibility. It accurately locates and quantifies damage in structures without needing excitation data, improving efficiency and robustness.

Keywords:
damage identificationfinite element model updatingsensitivitytime domaintransmissibility

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Area of Science:

  • Civil Engineering
  • Structural Health Monitoring
  • Vibration Analysis

Background:

  • Structural damage identification is crucial for civil infrastructure safety and reliability.
  • Existing methods often require prior knowledge of excitation or involve complex time-frequency conversions.

Purpose of the Study:

  • To propose a novel structural damage identification method utilizing time-domain transmissibility.
  • To enable damage assessment without prior knowledge of excitation signals.
  • To enhance the efficiency and accuracy of structural health monitoring.

Main Methods:

  • A new method based on the discrepancy of time-domain transmissibility before and after damage is proposed.
  • Finite element model updating is performed by minimizing the difference between measured and reconstructed responses.
  • Empirical Mode Decomposition is used for response reconstruction, allowing damage identification without excitation data.

Main Results:

  • The proposed method effectively locates and quantifies structural damage.
  • Numerical simulations demonstrate the method's strong robustness against measurement noise.
  • Experimental validation on a simply supported overhanging beam confirms the method's accuracy and effectiveness.

Conclusions:

  • The developed time-domain transmissibility method offers an efficient and accurate approach for structural damage identification.
  • The technique's ability to work without prior excitation knowledge and its robustness make it suitable for practical structural health monitoring applications.
  • This method provides a significant advancement in ensuring the safety and reliability of civil structures.