Dear Dr Ray, As the AC power flow requires high computation time for the losses to be calculated, a DC opf can be used in conjuction with a linear model for transmission losses. My aim is to adjust the piece wise linear approach of Matpower in order to accommodate the losses of a transmission line. More particularly, the losses can be expressed through the following equation: Ploss=rij(Pk)^2 [where rij the resistance of the line and Pk the power flow in the transmission line]. However, the above equation is a quadratic function but can be expressed with a piecewise linear model. The figure below shows a linear model consists of N line pieces [cid:f845ae9e-a2ac-4419-a3db-5c1a9ccd76d9]
the equation of the nth line piece is: [cid:b22a393c-5704-4c68-af6a-a8a52980a109] -How can I modify the piece wise linear approach of Matpower with the view to include the losses model? Thank you in advance, Alexandra Kapetanaki PhD Student Electrical Energy & Power Systems Group, School of Electrical & Electronic Engineering Ferranti Building (B18), The University of Manchester, M13 9PL, United Kingdom Tel: +44 (0) 161 306 2263; Mobile: +44 (0) 7857 598179
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