Abstract
Absract: The study is given to the normal vector of the power hypersurface of power system steady states. The interrelation of the components of the normal vector is determined through incremental transmission loss coefficients. The analysis of the normal vector components has revealed that in the marginal state of the power system the component of the normal vector of slack bus active power equals zero, and the incremental transmission loss coefficient of the slack bus active power is one. Therefore, any attempts of the slack bus to support the power system active power balance in the marginal state are fully compensated by the associated power losses. In real power systems, variation of slack bus location makes this steady state non-marginal. The only power system where the marginal state does not depend upon a slack bus location is a lossless one.
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