@phdthesis{vac-15-aa-thesis,
  author = {Alfredo Vaccaro},
  title = {Affine Arithmetic for Power and Optimal Power Flow Analyses in the Presence of Uncertainties},
  year = 2015,
  school = {University of Waterloo},
  url = {http://hdl.handle.net/10012/9307},
  abstract = {Optimal power system operation requires intensive numerical analyses to study and improve system security and reliability. To address this issue, Power Flow (PF) and Optimal Power Flow (OPF) analyses are important tools, since they are the foundation of many power engineering applications. For the most common formalization of these problems, the input data are specified using deterministic variables resulting either from a snapshot of the system or defined by the analyst based on several assumptions about the system under study. This approach provides problem solutions for a single system state, which is deemed representative of the limited set of system conditions corresponding to the data assumptions. Thus, when the input conditions are uncertain, numerous scenarios need to be evaluated.}
}