As. Farag et al., A COMPACT ALGORITHM FOR THE STEADY-STATE SECURITY ASSESSMENT OF POWER-SYSTEMS, Electric power systems research, 30(2), 1994, pp. 135-147
Security assessment is selected as one of the aspects of power system
operation in most need of improvement and best suited to improvement t
hrough the use of emerging compact algorithm technologies. This paper
examines some of the issues involved in actually making these improvem
ents. The on-line steady-state security analysis of a power system req
uires the evaluation of the effect of all possible contingencies on th
e system. The traditional approach to security analysis is to test all
contingencies sequentially to evaluate system performance and reliabi
lity by simulating outages of one or more generating units and transmi
ssion lines to investigate their effects on bus voltages and line powe
r flow. In this paper, a mathematical algorithm suitable for addressin
g the steady-state assessment of a power system using the DC load flow
technique is derived. A compact algorithm, using a reduced matrix ord
er, has been implemented, which reduces the computation time enormousl
y. The technique assumes that the part of the system far from a contin
gency is only slightly affected by the contingency or is not changed.
For each contingency, the system is decomposed into three tiers, resul
ting in a subsystem of smaller size. The compact algorithm is applied
to this subsystem to evaluate the power flow in the lines of the subsy
stem. The results of this proposed technique have been compared with t
hose obtained from the standard DC load flow for the whole system and
are found satisfactory within an acceptable range of accuracy with a r
eduction in the computation time. The IEEE 30-bus power system model w
as used to evaluate the algorithm.