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AVERAGE AND INSTANTANEOUS REACTIVE POWER OF NON-SINUSOIDAL CIRCUIT BASED ON HILBERT TRANSFORMATION

Xue Yongduan1 , Xu Bingyin2 , Feng Zuren1 (1. Xi'an Jiaotong University, Xi'an 710049, China) (2. Kehui Electric Co Ltd, Zibo 255031, China)  
So far there have been no widely accepted definitions of average and instantaneous reactive power for non-sinusoidal alternating-current.(AC) circuit. A new definition of reactive power for sinusoidal circuit is discussed. Then the definitions of average and instantaneous reactive power based on Hilbert transforrnation for non-sinusoidal circuit are presented. The average reactive power is defihed as average power between current and voltage after Hilbert transforrnation. The instantaneous reactive power is defined as product of reactive component of current and voltage after Hilbert transforrnation. The reactive component of current is defined as projection of current on voltage aiter Hilbert transformation. These new definitions satisfy the general requirements of power, conform to definitions and characteristics of average and instantaneous active power, and meet the requirements of average and directionally. An application example is given to verify the new definitions.
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