基于瞬时无功理论的单相无功功率相关定义

Reactive power definitions in single-phase circuits based on instantaneous reactive power theory

1983年Akagi提出的瞬时无功理论具有计算量小、瞬时性好等优点,但不能直接应用于单相电路的分析。一些学者借鉴瞬时无功理论,通过α-β变换将电压、电流信号映射至二维空间,提出了多种定义单相电路瞬时无功功率量值的理论。本文试对这一类单相瞬时无功功率定义多年来的研究成果加以综述。具体地,将整理广义瞬时功率理论、无功电流理论、瞬时无功密度理论这三类有关单相电路瞬时无功功率的定义,并介绍瞬时无功功率理论在测量基波无功、谐波电流以及控制锁相环电路方面的应用。最后,试分析现有单相瞬时无功功率理论的局限性。

Presented by Akagi and coauthors in 1983, instantaneous reactive power theory （IRP theory） features low computational complexity and good instantaneity, but it is not directly applicable to single-phase circuits. Scholars have been developed new approaches to define reactive power in single-phase circuits by utilizing the idea of IRP theo- ry, thus mapping the voltage and current signals to a two-dimensional space with α-β transformation. This paper presents an overview of the reactive power definitions in single-phase circuits that are particularly based on IRP theory. Specifically, 3 types of definitions are summarized as follows： generalized instantaneous reactive power theory, reactive current theory, and instantaneous reactive power density theory, as well as introduces the application of instanta- neous reactive power theory on measuring fundamental reactive power, harmonic current, and controlling the phaselocked loop circuit. Furthermore, the limitation of existing single phase instantaneous reactive power theory is analyzed.