From a commercial power meter logging the incoming feed to my residence....
View attachment 2564303
Notice the -ve (ie. capacitive) Reactive power & the -ve power angle.
Since a capactive reactive power is below the origin, how would others express a power factor which has a reactive power line low the origin?
How would others refer to powers which are not in the upper right quadrant of the the real/reactive power diagram?
Some background review to put this in perspective, hopefully not just for engineers:
The complex power S is the sum of the real part P (real power component) and the imaginary part jQ (where Q is the reactive power component). And so S = P + jQ. Typically, P is in kW, Q is in kVAR, and |S| = √(P
2+Q
2) (the apparent power) is in kVA.
Having an imaginary part on a complex plane (instead of a straight line that represents only real numbers) is a math technique used to represent the portion of the power resulting from current components that are at + or - 90° from the applied voltage due to reactive circuit elements such as inductors and capacitors. We can thank Heaviside, Steinmetz, etc. for this.
The power factor is the real power divided by the magnitude of the of the complex power S (apparent power), or PF = P/√(P
2+Q
2) = cos(θ), where θ is the angle between the apparent power S (e.g., in kVA) and the real power P (e.g, in kW).
A positive reactive power component Q will cause the the apparent power to lag the real power (i.e, an inductive load), and therefore the complex vector S will be in the upper right quadrant of the complex plane.
A negative reactive power component Q will cause the the apparent power to lead the real power (i.e, a capacitive load), and therefore the complex vector S will be in the upper lower quadrant of the complex plane.
Because PF = P/√(P
2+Q
2), when real power P is positive the power factor will also be positive in both the upper right quadrant (Q positive, lagging PF) and lower right quadrant (Q negative, leading PF) of the complex plane because of the term Q
2. However, if the real power P is negative (i.e., when the complex power S is in the left two quadrants), then the power factor will be negative.
By convention, a positive reactive component Q (inductive) will consume reactive power and a negative reactive component Q (capacitive) will supply reactive power.
An example of a "load" with a negative power factor would be a grid-tied PV inverter when it's operating. Instead of consuming real power from the grid, the inverter is supplying real power to the grid. The real power component P above is then negative, and therefore PF = P/√(P2+Q2) is also negative.