Mathematical solution to solve the minimum power point problem for DC circuits

The use of the power functional in the analysis of the electric circuits makes it possible to appreciate the energetic equilibrium state attained in the circuit at a certain moment. The basic circuit laws of electric circuits in stationary regime are interpreted in this paper by defining suitable functional in terms of power for DC circuit. It is shown that the minimum power determined by taking the derivative of these functional verifies the first Kirchhoff´s law. This allows interpreting the circuit equations by using the second Kirchhoff´s law and the principle of minimum power. A mathematical solution is used in order to determine the minimum power point for DC circuits. Numerical algorithm is implemented by used Matlab for validate the theory.