Yd. Ji et Bf. Hobbs, INCLUDING A DC NETWORK APPROXIMATION IN A MULTIAREA PROBABILISTIC PRODUCTION COSTING MODEL, IEEE transactions on power systems, 13(3), 1998, pp. 1121-1127
A multiarea power system consists of several areas (subsystems) interc
onnected by a transmission network. In estimating expected generation
costs for such systems, transmission capacity limits of the network sh
ould be recognized. Transportation network models have generally been
used because of their simplicity, but they only enforce Kirchhoff's cu
rrent law. AC power flow modeling of the transmission network, which r
ecognizes thermal, voltage and stability constraints, is theoretically
best, but is too unwieldy for assessing expected costs. The so-called
''DC'' linearized network model is adopted here as a compromise, as i
t enforces both Kirchhoff's current and voltage laws while its lineari
ty facilitates incorporation in probabilistic production costing model
s. In this paper, we generalize a bounding-based multiarea probabilist
ic production costing model to include loop flow and resistance losses
based on the DC network model. This is the first multiarea model base
d on efficient convolution methods for production costing that also in
cludes loop flows and resistance losses. Computational examples are pr
esented to highlight the modeling and solution procedures.