Basic equations of linear electric and magnetic circuits in quasi-stationary state based on principle of minimum absorbed power and energy

Principle of Minimum absorbed Power (PMP) is defined and demonstrated as a fundamental for electrical circuits in stationary and quasi-stationary regime. By imposing the PMP natural conditions result Kirchhoff Current Law (KCL) and Nodal Method (NM). First aim of this paper is to propose a new formulation of basic forms of circuit equations by substituting the KCL or NM equations with PMP equations. Furthermore this paper proves the co-existence of PMP and of Maximum Power Transfer Theorem (MPTT) as one of the basic concepts of electrical circuit theory. All the above considerations can be extrapolated and demonstrated as a natural sequel to linear magnetic circuits in quasi-stationary state by considering their equivalence with electrical circuits. In this case, by imposing the conditions of Principle of Minimum absorbed Energy (PME) one proves that the equations of Kirchhoff´s fascicular Fluxes Law (KFL) and Nodal Method for Magnetic circuits (NMM) are achieved. The numerical examples presented hereinafter refer to classical linear electric and magnetic circuits in quasi-stationary state and prove the originality of the theoretical concepts introduced.