摘要
国际上关于功率定义的争论由来已久。该文通过分析现有的一些功率定义,提出了一种基于周期函数空间的n 相系统功率定义方法。该方法在周期函数空间中引入内积和范数的概念,将电流向量对电压向量的投影定义为有功电流,进而定义有功功率、无功功率、视在功率、功率因数。该定义方法物理意义明确,数学上逻辑严谨,在特定条件下又能与传统功率理论相统一。最后还介绍了该文提出的功率定义方法在谐波和无功电流检测方面的应用。
The controversy on power definitions lasts for a long time home and abroad. Some existing power definitions are analyzed in this paper and a universal definition of power for n-phase electric circuits based on periodic function space is proposed. The definition introduces concepts of inner product and norm, and defined the active current vector as the projection from current vector to voltage vector. Then the active power, reactive power, apparent power and power factor are defined. The definition has clear physical meanings and precise mathematic logic, and can be agree with traditional power theory in specific conditions. A new test method of harmonic and reactive current based on the definition is proposed.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2005年第19期64-70,共7页
Proceedings of the CSEE
关键词
功率理论
非正弦电路
功率因素
周期函数空间
Power theory
Non-sinusoidal electric circuits
Power factor
Periodic function space