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

Gao Yucheng;Zhao Wei;Huang Songling;State Key Laboratory of Power System,Tsinghua University;  
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 theory,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 instantaneous 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.
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