V2EX thevenin theorem

Thevenin Theorem

定义 / Definition

戴维南定理(Thevenin theorem):在线性电路中,从任意两端口“看进去”的复杂网络,都可以等效为一个理想电压源 \(V\_{th}\) 串联一个等效电阻/阻抗 \(R\_{th}\)(交流时为 \(Z\_{th}\))。这样可将复杂电路简化,便于计算负载电流、电压与功率。(在特定教材中也常写作 Thévenin’s theorem。)

例句 / Examples

Use Thevenin theorem to simplify this circuit.
用戴维南定理来简化这个电路。

By applying Thevenin theorem, we replaced the network seen by the load with an equivalent voltage source in series with a resistance, which made the power calculation straightforward.
通过应用戴维南定理,我们把负载端看到的网络替换为一个串联电阻的等效电压源,从而使功率计算变得直接明了。

发音 / Pronunciation (IPA)

/tevnn θrm/

词源 / Etymology

该术语来自法国工程师 Léon Charles Thévenin(莱昂夏尔泰维南) 的姓氏。19世纪末他提出用“等效电源+等效电阻”的方式来替代复杂线性网络的思想,后来在电路分析中被广泛采用,并以其姓氏命名为 Theveni theorem(或更接近法语拼写的 Thévenin)。

相关词 / Related Words

文学与经典著作用例 / Notable Works

  • Léon Charles Thévenin, Extension de la loi d’Ohm aux circuits électriques complexes(1883,提出等效思想的经典论文)
  • William H. Hayt et al., Engineering Circuit Analysis(工程电路分析教材中系统讲解戴维南/诺顿等效)
  • Adel S. Sedra & Kenneth C. Smith, Microelectronic Circuits(在电路简化与小信号分析背景下常用到该定理)
  • Paul Horowitz & Winfield Hill, The Art of Electronics(实践导向电子学著作中频繁用于等效与快速估算)
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