D. Kirschen et G. Strbac, Tracing active and reactive power between generators and loads using real and imaginary currents, IEEE POW SY, 14(4), 1999, pp. 1312-1318
In a competitive environment, usage allocation questions must be answered c
learly and unequivocally. To help answer such questions, this paper propose
s a method for determining how much of the active and reactive power output
of each generator is contributed by each load. This method takes as its st
arting point a solved power flow solution. All power injections are transla
ted into real and imaginary currents to avoid the problems arising from the
non-linear coupling between active and reactive power flows caused by loss
es. The method then traces these currents to determine how much current eac
h source supplies to each sink. These current contributions can then be tra
nslated into contributions to the active and reactive power output of the g
enerators. It is also shown that the global contribution of a load can be d
ecomposed into contributions from its active and reactive parts. This decom
position is reasonably accurate for the reactive power generation. To deter
mine the contributions to active power generation, the previously-described
method based on the active power flows is recommended.