| 相量与正弦量的数学变换原理 |
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| 引用本文： | 陈希有,盛贤君,刘凤春. 相量与正弦量的数学变换原理[J]. 电气电子教学学报, 2007, 29(2): 36-39 |
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| 作者姓名： | 陈希有 盛贤君 刘凤春 |
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| 作者单位： | 大连理工大学,电气工程与应用电子技术系,山东,大连,116023 |
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| 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.
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| 关 键 词： | 相量变换 正弦交流电路 相量分析法 复频域分析法 |
| 文章编号： | 1008-0686（2007）02-0036-04 |
| 收稿时间： | 2006-12-18 |
| 修稿时间： | 2007-01-11 |
The Math Transformation Principles between Phasor and Sinusoidal Quantity |
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| Chen Xi-you,Sheng Xian-jun,Liu Feng-chun. The Math Transformation Principles between Phasor and Sinusoidal Quantity[J]. Journal of Electrical & Electronic Engineering Education, 2007, 29(2): 36-39 |
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| Authors: | Chen Xi-you Sheng Xian-jun Liu Feng-chun |
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| Affiliation: | Electrical and Electronics Department, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | 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. |
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| Keywords: | phasor transformation sinusoidal circuits phasor analysis complex domain analysis |
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