Reduction of PTDF Matrix and Its Application in DC Optimal Power Flow

Abstract

The paper presents an approach where traditional Power Transfer Distribution Factors (PTDF) matrix is reduced in size so that it reflects sensitivities of branch flows to changes in nodal power injections at generator buses only. The advantage of the reduced PTDF matrix is in both reductions of decision variables in the optimization procedure and number of columns in branch flow constraints matrix. Furthermore, the number of rows is also reduced on the basis of a simple check, which effectively detects non-binding branch flow limits allowing corresponding rows of the matrix to be omitted. The reduced PTDF matrix was successfully applied in solving two direct current optimal power flow problems: cost minimization and total transfer capacity calculation.

BibTex Citation

@article{TodorovskiAckovski2014,
    author = {M. Todorovski and R. Ačkovski},
    doi = {10.1002/etep.1936},
    impact = {1.619},
    journal = {International Transactions on Electrical Energy Systems},
    month = {April},
    number = {9},
    pages = {1848-1859},
    title = {Reduction of PTDF Matrix and Its Application in DC Optimal Power
Flow},
    url = {http://dx.doi.org/10.1002/etep.1936},
    volume = {25},
    year = {2014}
}