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Power computation with Precision Rectifier for Hall effect sensor signal conditioning

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engr.arfa

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I want to use precision rectifier with hall effect sensor. At the output of the Hall effect sensor a capacitor is used to DC bias, which is then fed as input to precision rectifier.. The output of precision rectifier is Current_2 which is given to ADC (0-5V) of microcontroller. The circuit works fine.
I am using reactive loads like (fan, washing machine, vacuum cleaner) for power measurement with my energy meter.

How can I compute Reactive power with the following circuit:
https://obrazki.elektroda.pl/5639722200_1480360252.png

My hall effect convert Ip to VIout. So VIout is measured by my above circuit. The peak detector measures the peak value of voltage. So I use Vrms=Vpeak/sqrt(2).
But how to get Irms? I dont know whether data sheet of acs712-20 give Ip as Irms or I_average?
Can I use unitary method for conversion like:-
100mV generated with 1A by hall effect
So Vrms will generate = (Vrms*1A ) /100mV =Irms
Can I get Irms in this way?
Still there is problem that how to compute theta in formula of reactive power?
Reactive Power= (Vrms * Irms )* sin theta

Note: I am not using DSP to compute theta.
Anyone please help.
 

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