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| 用耦合模原理分析RLC串联电路 |
| RLC Series Circuit Analysis by Coupled Model |
| 投稿时间：2019-12-13 修订日期：2019-12-21 |
| DOI： |
| 中文关键词: 耦合模 RLC串联电路 电路储能 无线电能传输。 |
| 英文关键词: Coupled mode RLC series circuit Circuit energy storage Wireless power transfer |
| 基金项目:国家自然科学基金（51877025），国家教学质量工程项目（ZL201805） |
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| 中文摘要: |
| 用两个状态变量构造的复数状态变量叫做耦合模。以耦合模为变量对电路或系统进行分析的方法叫耦合模分析。本文以RLC串联电路零输入响应和正弦稳态响应为例,入门性地介绍了耦合模原理在电路分析中的应用,包括耦合模的定义与性质,耦合模方程的列写与求解,耦合模方程的简化,以及用耦合模计算的元件储能和电路储能等。用数值计算方法给出了这些响应的波形,它们和用传统电路理论获得的波形完全一致。耦合模原理在分析模式耦合系统,并着眼于能量的传递时,具有特殊的用途,例如无线电能传输系统。 |
| 英文摘要: |
| The coupled modes are complex number described by two state variables. The analysis of circuits or systems using the coupled modes is called the coupled-mode analysis. Taking the zero-input response and sinusoidal steady-state response of RLC series circuit as an illustration, an introduction of coupled-mode principle for circuit analysis is given in this paper, focusing on the definition and characteristics of coupled modes, the formulation, simplification and solution of coupled-mode equations, and the calculation of energies stored in elements and circuits using the coupled modes. The response waveforms derived numerically in coupled-mode principle and traditional circuit theory are proved to be identical in this paper. The coupled-mode principle is a good choice for analyzing the energy transfer of mode-coupling systems, such as wireless power transfer systems. |
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