相量与正弦量的数学变换原理  

The Math Transformation Principles between Phasor and Sinusoidal Quantity

作　　者：陈希有[1] 盛贤君[1] 刘凤春[1] 

机构地区：[1]大连理工大学电气工程与应用电子技术系,山东大连116023

出　　处：《电气电子教学学报》2007年第2期36-39,共4页Journal of Electrical and Electronic Education

摘　　要：本文提出了相量与正弦量的数学变换原理即相量变换,将相量与正弦量的关系建立在严密的数学变换基础上。证明了相量变换的基本性质,并利用这些性质建立了基尔霍夫定律方程和电阻、电感与电容元件方程的相量形式。使得正弦交流电路的相量分析法与线性动态电路暂态过程的复频域分析法形成鲜明对照,从而加深学生对电路变换域分析法的认识。The principles of the mathematics transformation or phasor transformation between phasor and sinusoidal quantity are proposed in this paper so as to establish the relationship between the phasor and the sinusoidal quantity based on the strict mathematics transformation. The properties of this transformation are proven and the phasor-type of Kirchhoff＇s Laws and the element equations of the resistor, the inductor, as well as the capacitor are obtained by means of these properties. This procedure is similar to the complex domain analysis for linear dynamic circuits in the teaching strategies. Therefore, it can emote the students to understand the transformation domain analysis of the circuits.

关 键 词：相量变换 正弦交流电路 相量分析法 复频域分析法 

分 类 号：TM31[电气工程—电机]