The application of Newton's method to minimal emissions power flow

Abstract

Convcntional dispatch of clcctric power generation is designed lo ni ini i i i iz t operational costs wliilc niccting equality and inequality cotis!raints rcprcscnting system rcqiiircnients. Transmission losscs may be iicglcctcd or approximated i n the forniulation. Including tlic c i i i i~~ io i i~ in tlic objective function or Lrcatingcmissions as systcni’s constraints hasbccn considcrcd in a numbcr of contributions. I’rcvious work in tlic arca used siniplc active powcr balance constraints eithcr ncglccting transniission 10s .cs or using approxiinate loss formulas. Tlic optimal power flow (OPF) considers no zpproxiiiiatiori to transiiiissioii losscs, siiicc it iiivolvcs minimizing an objcc!ivc function wliilc satislying the powcr systcrn flow equations and systcm iiicqu:ility constraints. In this pnpcr, the emissions function is considcrcd in the objcctivc function of the OI’F forniulation. Coniputational rcsults arc prescntcd involving an actual system and IEEE tcst systeiiis to tcst (lie