对正弦电路中引入相量分析法的探讨  

Discussion about Phasor Transform in the Sinusoidal Circuit

作　　者：左全生[1] Zuo Quansheng(School of Electronic Information and Electric Engineering,Changzhou Institute of Technology,Changzhou 213002)

机构地区：[1]常州工学院电子信息与电气工程学院

出　　处：《电子世界》2018年第15期39-40,共2页Electronics World

基　　金：江苏高校品牌专业建设工程资助项目(TAPP;项目负责人:朱锡芳;项目编号:PPZY2015B129)

摘　　要：相量法是正弦交流电路常用的一种分析方法,现有的电路教材讲述相量法时都是通过旋转向量介绍的。而旋转向量教学时是有难度的。本文直接根据欧拉公式讲解相量,将大大简化这个问题。The phasor is a complex number that carries the amplitude and phase angle information of a sinusoidal function.The phasor concept is rooted in Euler’s identity.Which relates the exponential function to the trigonometric function.The phasor transform transfers the sinusoidal function from the time domain to the complex-number domain.The phasor transform is useful in circuit analysis because it reduces the task of finding the maximum amplitude and phasor angle of the steady-state sinusoidal response to the algebra of complex numbers.the exponential term e jωt cancels out.The application of the phasor transform in circuit analysis is important.because greatly simplifiers this type of problem.

关 键 词：正弦交流电路 微分方程 相量 欧拉公式 

分 类 号：TN710.02[电子电信—电路与系统]