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Dear Mr. Steven ;
First, it’s a good subject to be discussed but certainly not the principal basics as mentioned, because all Electrical Engineers should absolutely know it.
Let me please mention to the following points:
Leading and Lagging Power Factor :
- When mentioned “ Voltage phaser or Current phaser ” that means “ Voltage Vector or Current Vector ” .
- When you say “ we add capacitance to our system to minimize inductance and vice versa ”, you certainly mean that we add the capacitance to have a capacitive current that will minimize the inductive current ”.
Active Power and Reactive Power :
- The 2 formulas are mentioned to the “ Active Power ” where the 2nd should be :
“ Reactive Power : V(rms)I(rms)sin(angle between V and I) ”
- It’s mentioned that “ both inductor and capacitor (pure) are lossless elements means that they don’t consume any power they only cause voltage drop across themselves”, but sorry to say : electrically it’s not right, because when there’s a drop voltage, that means there’s a current runs in the circuit, and if there’s a current that means there’s a Power’s consumption. By another wards:
- All “ pure Capacitive or pure Inductive loads consume a Reactive Power ”.
- The Reactive Power is a kind of power without obtaining a useful work.
- It’s mentioned also that “ They only absorb power from the source and release it after wards ” and “ Thus Reactive power oscillates or moves to and forth in the circuit … ”, but sorry to say : electrically it’s not right, they absorb ( consume ) power but they don’t release it, and also the absorbed Reactive Power doesn’t oscillate or move to and forth in the circuit.
Power Factor (Practically) :
To be more clear, the relation between the “ Cos ϕ ” ( Power Factor for the Fundamental Voltage and Current ) and the Power Factor for Network containing Harmonics ( Polluted Network ) is done by the following formula :
Power Factor = Cos φ / √(1+THD I²)
Where the “ THD I ” is the Total Harmonic Distortion of Current.
So, relative to your formula the Distortion Factor is : 1/√(1+THD I²)