| The electric power industry is in transition from a monopolistic regulated operation to an open market deregulated operation. In this environment, two issues are very important: power transactions and Available Transfer Capability (ATC). This thesis presents a rigorous mathematical model for power transactions and a new method to compute the ATC. The proposed model covers any possible type of power transaction. The proposed method for the ATC analysis provides quadratic feasible operating region and information of critical operating constraints. Moreover, the ATC result recognizes the dependency of each independent power transaction.; The quadratic feasible operating region in the ATC analysis is achieved by using the Quadratized Power Flow (QPF) and the costate method, called the QPF sensitivity method. The QPF model accommodates any behavioral load models such as constant power, constant impedance, and induction motor loads. The overall performance and accuracy of the QPF sensitivity method is superior to the traditional sensitivity method in contingency ranking analysis.; Two transmission-pricing schemes, Financial Transmission Rights (FTRs) and Flowgate Rights (FGRs) are mathematically defined based on an AC power system. A direct method is developed by explicitly defining mathematical relationship between dual optimal solutions, Power Transfer Distribution Factors (PTDFs), FTRs, and FGRs. Difference method is used to verify the results provided by the direct method.; Two directions for future research discussed are the probabilistic ATC analysis and the development of the transmission pricing schemes using the QPF sensitivity method. |
