Formulas
When a voltage V causes a current I to flow through a reactive load Z, the complex power S is:
S = VI* where I* is the conjugate of the complex current I.
Inductive Load
Z = R + jXL
I = IP – jIQ
cosf = R / |Z| (lagging)
I* = IP + jIQ
S = P + jQ
An inductive load is a sink of lagging VArs (a source of leading VArs).
Capacitive Load
Z = R – jXC
I = IP + jIQ
cosf = R / |Z| (leading)
I* = IP – jIQ
S = P – jQ
A capacitive load is a source of lagging VArs (a sink of leading VArs).
| NOTATION | ||||||
| The symbol font is used for some notation and formulae. If the Greek symbols for alpha beta delta do not appear here [ a b d ] the symbol font needs to be installed for correct display of notation and formulae. | ||||||
| B C E f G h I j L P Q | susceptance capacitance voltage source frequency conductance h-operator current j-operator inductance active power reactive power | [siemens, S] [farads, F] [volts, V] [hertz, Hz] [siemens, S] [1Ð120°] [amps, A] [1Ð90°] [henrys, H] [watts, W] [VAreactive, VArs] | Q R S t V W X Y Z f w | quality factor resistance apparent power time voltage drop energy reactance admittance impedance phase angle angular frequency | [number] [ohms, W] [volt-amps, VA] [seconds, s] [volts, V] [joules, J] [ohms, W] [siemens, S] [ohms, W] [degrees, °] [rad/sec] | |
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