无功功率与电抗性元件储能之间关系的研究

Study of Relashionship Between Reactive Power and Energy Stored by Reactive Components in AC Circuit

正弦交流电路有两种不同类型的功率:有功功率(P)、无功功率(Q)。通过讨论这两种功率的特点并定性地给出了关于这两种功率的结论,随后针对无功功率的独特特性,给出了电抗性元件(电感以及电容)的无功功率的理论定义式,然后在理论上推导了电抗性元件无功功率理论定义式与电抗性元件储能之间的关系。推导的过程表明在正弦交流电路中,无功功率(Q)有区别于有功功率(P)的独特特性即无功功率不是瞬时功率的平均效果值,可以利用无功功率进行积分从而得到电抗性元件的储能。

In AC circuit, there are two kinds of power： active power and reactive power. In this paper,the characteristics of these two kinds of power are discussed and the conclusions about these two kindsof power are qualitatively given. Followed by the unique characteristics of reactive power, firstly, the-oretical definition of reactive power for reactive elements is given out, then the relationship betweenenergy stored by reactive element and the the theoretical definition of reactive power is discussed. Fi-nally the theoretical derivation shows that the reactive power is different from the active power in sinu-soidal AC circuit, the reactive power is not the average value of instantaneous power and the energystorage of the reactive element can be obtained by integrating the reactive power.