正弦稳态功率的相量表示及特勒根定理的新意义

Phasor Representation of Sinusoidal Steady-State Power and New Physical Meanings of Tellegen’s Theorem

本文结合有功、无功功率定义讨论了正弦稳态电路中的功率波形,提出了功率相量概念,用相量法厘清了几种功率定义之间的关系,给出了基于功率相量的功率守恒新表述,并拓宽、完善了特勒根定理的物理意义。所给研究方法和结论有助于深化对正弦稳态功率的认识,对电路理论课程教师有参考价值。

With a review to the definitions of active-and reactive-power,this paper discusses properties of time-domain sinusoidal steady-state power waveforms,proposes the concept of power phasor and clarifies relations among several different power definitions.Based on power phasor methods,a new expression for the conservation-of-power law is introduced and some new physical meanings of Tellegen's theorem are provided,which may effectively broaden the application range of this theorem.Approaches and conclusions in this paper are helpful to deepen perceptions to sinusoidal steady-state power,and they have reference value for circuit theory teachers.