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Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
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Frequency Response of a Circuit01:20

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Inductive circuits present intriguing challenges in electrical engineering, particularly during the transition from the time domain to the frequency domain. This transformation involves converting inductors into impedances and utilizing phasor representation.
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State Space Representation01:27

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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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The Bode plot is an essential tool in control system analysis, mapping the frequency response of a system through a magnitude plot and a phase plot, both against a logarithmic frequency axis. To construct a Bode plot, consider the transfer function H(ω):
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Network Function of a Circuit01:25

Network Function of a Circuit

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Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
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In analyzing the behavior of diodes in circuits, the relationship between the current through a diode and the voltage across it is of particular interest, especially when considering the effect of a direct current (DC) bias voltage. When applied, this DC bias influences the diode's operating point, known as the Q point, around which the current-voltage (I-V) characteristic of the diode exhibits exponential behavior. Introducing a small, time-varying signal on top of this bias aids in...
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Finite Element Modelling of a Cellular Electric Microenvironment
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A Study on the Frequency-Domain Black-Box Modeling Method for the Nonlinear Behavioral Level Conduction Immunity of

Xi Chen1, Shuguo Xie1, Mengyuan Wei1

  • 1School of Electronic and Information Engineering, Beihang University, Beijing 100191, China.

Micromachines
|May 25, 2024
PubMed
Summary

This study introduces Sensi-Freq-Model, a novel frequency-domain approach for integrated circuit (IC) conduction susceptibility. This method significantly reduces modeling time and enhances accuracy for broadband immunity assessments.

Keywords:
X-parametersdirect power injection (DPI)electromagnetic compatibility (EMC) modelingimmunity modelingintegrated circuit (IC)models of integrated circuits for RF immunity behavioral simulation-conducted immunity modeling (ICIM-CI)

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Area of Science:

  • Electrical Engineering
  • Electromagnetic Compatibility
  • Semiconductor Device Modeling

Background:

  • Traditional black-box modeling for circuit conduction immunity, such as time-domain methods or ICIM-CI models, suffers from extensive testing requirements, long modeling times, and poor accuracy in frequency-domain analysis.
  • Existing methods struggle to capture complex electromagnetic responses and lack reproducibility, hindering efficient broadband immunity assessments.

Purpose of the Study:

  • To develop a novel frequency-domain broadband model for integrated circuit (IC) conduction susceptibility, named Sensi-Freq-Model.
  • To accurately quantify component conduction immunity in the frequency domain and improve the accuracy of circuit broadband design.

Main Methods:

  • Proposed a new frequency-domain broadband model (Sensi-Freq-Model) for IC conduction susceptibility.
  • Quantified conduction immunity data in the frequency domain to build the IC model.
  • Focused on retaining frequency-domain broadband information for enhanced model portability and repeatability.

Main Results:

  • The Sensi-Freq-Model demonstrates high fitting accuracy in the frequency domain.
  • Achieved a significant reduction in broadband modeling time, approximately 90% compared to traditional ICIM-CI methods.
  • Improved the normalized mean square error (NMSE) by 18.5 dB, indicating enhanced accuracy.

Conclusions:

  • The Sensi-Freq-Model offers a more efficient and accurate approach to assessing IC conduction susceptibility.
  • The model enhances portability and repeatability by reducing the need for model rebuilding under varying electromagnetic environments.
  • This advancement significantly improves modeling efficiency and supports more accurate circuit broadband design.