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On the unity row summation and real valued nature of the F_{LG} matrix
Date
2015
Abstract
Electrical power system calculations rely heavily on the Y_{bus} matrix, which is the Laplacian matrix of the network under study, weighted by the complex-valued admittance of each branch. It is often useful to partition the Y_{bus} into four submatrices, to separately quantify the connectivity between and among the load and generation nodes in the network. Simple manipulation of these submatrices gives the F_{LG} matrix, which offers useful insights on how voltage deviations propagate through a power system and on how energy losses may be minimized. Various authors have observed that in practice the elements of F_{LG} are real-valued and its rows sum close to one: the present paper explains and proves these properties.
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n/a
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Citation
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ULFLGmatrix.pdf
Adobe PDF, 211.98 KB
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Funding Information
Science Foundation Ireland (SFI), European Research Council (ERC)
Sustainable Development Goals
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Type
Report
Rights
https://creativecommons.org/licenses/by-nc-sa/1.0/