INCLUDING A DC NETWORK APPROXIMATION IN A MULTIAREA PROBABILISTIC PRODUCTION COSTING MODEL

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.