Energy Grid Theorem

«For a stable electrical network without sources and energy storage the value of its streams coincide with the solution of optimization task of energy streams across the network with minimal losses».

The proof is based on the variation principle or the Principle of Least Action that the equations governing the EMF function so that their solutions implement the extremum of an action functional among all functions taking prescribed values on the boundary of the considered 4-space.

The physical connectivity of the Grid ensures the EMF. The theorem proved under the conditions of implementation of the Poynting theorem. The optimization task represented as linear programming problem with minimum losses in the network. The solution of the optimization problem always can found and it coincides with the fact that for Energy Grid provides Nature.