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

本文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。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。

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.