Statistics – Applications
Scientific paper
2010-11-12
Statistics
Applications
23 pages, 11 figures, Keywords: Correlation; Geometry; Power Flow; Network; Stability
Scientific paper
From the perspective of the network theory, the present work illustrates how the parametric intrinsic geometric description exhibits an exact set of pair correction functions and global correlation volume with and without the inclusion of the imaginary power flow. The Gaussian fluctuations about the equilibrium basis accomplish a well-defined, non-degenerate, curved regular intrinsic Riemannian surfaces for the purely real and the purely imaginary power flows and their linear combinations. An explicit computation demonstrates that the underlying real and imaginary power correlations involve ordinary summations of the power factors, with and without their joint effects. Novel aspect of the intrinsic geometry constitutes a stable design for the power systems.
Bellucci Stefano
Gupta Neeraj
Tiwari Bhupendra Nath
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