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| 电路在正弦激励下非正弦稳态的响应 |
| Non-sinusoidal Steady-state Response of Circuit with Sinusoidal Excitation |
| 投稿时间：2019-06-15 修订日期：2019-09-15 |
| DOI： |
| 关键词: 正弦激励 非正弦稳态响应 电路 |
| Key Words:sinusoidal excitation non-sinusoidal steady-state response circuit |
| 基金项目:高校品牌专业建设工程资助项目 |
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| 摘要:基于作者的教学实践，讨论了电路在正弦激励下产生非正弦稳态的响应的各种情况。零状态动态电路存在正弦稳态响应的充要条件为，响应的象函数Y(s)存在且仅存在一对共轭虚极点，而Y(s)的其它极点均位于复平面的开左半平面上。通过实例说明了在正弦激励下产生非正弦稳态的响应的情形。电路本文的讨论对丰富正弦稳态电路分析的教学内容，加深学生对相关知识的理解，具有良好的助益。 |
| Abstract:Based on the teaching practice, various situations of non-sinusoidal steady-state response of circuit with sinusoidal excitation are discussed. The necessary and sufficient condition for the existence of sinusoidal steady-state response in a zero-state dynamic circuit is that the Laplace transform of the response which is Y (s) exists and has only one pair of conjugate virtual poles, while the other poles of Y (s) lie on the left open plane of the complex plane. Several examples are given to illustrate the non-sinusoidal steady-state response with sinusoidal excitation. The discussion is helpful to enrich the teaching content of sinusoidal steady-state circuit analysis and deepen students' understanding of relevant knowledge. |
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