Employment of KarlǒSepetanc is funded by the Croatian Science Foundation under programme DOK-2018-09. The research leading to these results has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 864298 (project ATTEST). The sole responsibility for the content of this document lies with the authors. It does not necessarily reflect the opinion of the Innovation and Networks Executive Agency (INEA) or the European Commission (EC). INEA or the EC are not responsible for any use that may be made of the information contained therein. g kGenerator minimum and maximum reactive power production.
S eBranch maximum apparent power. θ i,j , θ i,jBus-pair minimum and maximum voltage angle difference.Bus minimum and maximum voltage magnitude.Assumed bus voltage magnitude and angle operating points. c su k Generator start-up cost. RU k , RD k Generator ramp-up and -down limits. MU k , MD k Generator minimum up and down time. Λ t,e , Γ t,i,j Boolean parameters which indicate whether to use quadratic form of voltage and cosine representations respectively.
C. Variables
Continuous variablesGenerator active and reactive power production. P t,e,i,j , Q t,e,i,j Branch active and reactive power flow.Bus voltage magnitude and angle change. V t,i , θ t,iBus voltage magnitude and angle.x cos t,i,j Cosine approximation.Second-order Taylor series voltage magnitude term approximation.
Binary variables x t,kGenerator activity state indicator. y t,k , z t,kGenerator start-up and shut-down indicators.