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相关概念视频

Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

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The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
204
Second Order systems II01:18

Second Order systems II

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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

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An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
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Linear time-invariant Systems01:23

Linear time-invariant Systems

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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
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Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

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Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
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Updated: Jun 16, 2025

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
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在SIRS模型中的振荡.

Davide Marenduzzo1, Aidan T Brown1, Craig W Miller1

  • 1School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3FD, UK.

Journal of theoretical biology
|June 14, 2025
PubMed
概括
此摘要是机器生成的。

该SIRS流行病模型揭示了内在的,非季节性振荡. 这种由免疫力下降所驱动的繁荣衰退周期,解释了像COVID-19这样的反复流行病没有外部因素.

关键词:
流行病模型的流行病模型.这就是SIRS.地方性流行病 地方性流行病欧米克朗变种SARS-cov2是什么意思振荡的振荡是如何发生的

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科学领域:

  • 流行病学 流行病学
  • 数学生物学 数学生物学
  • 计算科学 计算科学

背景情况:

  • 该SIRS (易感-感染-恢复-易感) 模型描述了疾病的动态.
  • 传统模型确定稳定的状态:无病 (I=0) 和特有 (I>0).
  • 诸如季节性等外部因素经常被用来解释流行病的波动.

研究的目的:

  • 调查SIRS模型的内在动态.
  • 探索流行病模型中振荡行为的出现.
  • 为了确定免疫力下降是否可以单独驱动定期的流行病周期.

主要方法:

  • 对SIRS模型的分析调查.
  • 在带有噪声的正方形格子上进行数值模拟.
  • 分析模型解决方案以确定稳定状态和振荡.

主要成果:

  • 在SIRS模型中,表现出两个稳定的状态:无病和特有.
  • 使用噪声或在格子上的实现揭示了第三个状态:正则振荡.
  • 这些振荡代表了由免疫力下降所驱动的内在繁荣衰退的流行病周期.

结论:

  • 振荡性流行病行为是SIRS模型的内在属性.
  • 在大约10周的时间尺度上,免疫力下降可以解释非季节性波动.
  • 这种内在的振荡行为可以解释COVID-19 (例如Omicron变种) 等疾病中观察到的模式.