I am trying to calculate the DC link current of a three phase PWM inverter.

I found in a paper[1] that its:

IDC=K1Ia + K2Ib + K3Ic

(Where K1 K2 K3 are the PWM control signals applied to the upper switches)

But I want to know how this equation is derived.

Any help would be much appreciated.

[1]Rym, Marouani & Mami, Abdelkader. (2010). Voltage Oriented Control Applied to a Grid Connected Photovoltaic System with Maximum Power Point Tracking Technique. American Journal of Applied Sciences. 7.

(Attached)

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