Yy. Hong et Ch. Gau, VOLTAGE STABILITY INDICATOR FOR IDENTIFICATION OF THE WEAKEST BUS AREA IN POWER-SYSTEMS, IEE proceedings. Generation, transmission and distribution, 141(4), 1994, pp. 305-309
Application of Newton optimal power flow (OPF) to identify the weakest
bus/area, which is most likely to cause voltage collapse, is presente
d in this paper. The S-V curve (complex power to voltage) is examined
via Newton OPF. Marginal costs (Lagrange multipliers) regarding power
flow equations, VAr generations, voltages and taps, etc., to the syste
m MW losses are obtained from Newton OPF. The weakest bus/area in the
system is identified by an indicator achieved with these marginal cost
s via the Kuhn-Tucker theorem. This indicator helps users know which b
us/area is most likely to cause voltage collapse. The IEEE 30-bus and
a practical 251-bus systems are used to show the capability and feasib
ility of the proposed approach.