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Table 2 Bivariate correlation factor \(\rho\) and radius of the minor axis \(r_n\) of the PDF of power flows in Fig. 9 according to equation (11) for each respective clustering method and carbon reduction target for a spatial resolution of 97 nodes

From: A comparison of clustering methods for the spatial reduction of renewable electricity optimisation models of Europe

\(\hbox {CO}_2\)Reduction

\(60\%\)

\(100\%\)

 

\(\rho\)

\(r_2\)

\(\rho\)

\(r_2\)

k-means

0.746

0.165

0.755

0.175

\(f^\mathrm {cap}(v)\)

0.769

0.160

0.768

0.173

\(f^\mathrm {time}(v)\)

0.767

0.160

0.781

0.169

Q

0.757

0.164

0.757

0.179