THE SOLUTION OF THE EQUATIONS OF THE CONDITION OF ELECTRIC CIRCUITS BASED ON THE PROPERTY OF ORTHOGONALITY OF BASIC FUNCTIONS

The article contains the description of method for finding values of vector of state variables of an electric circuit based on properties of orthogonality of basic functions. The algorithm of calculation is reduced to the solution of the algebraic equation systems with hypothetically any time step. That’s why it is similar to analytical methods of calculation, but in contrast to them, it has no restriction for sequence of differential equation systems for equivalent circuits of real devices that very favorably distinguishes the offered method from analytical calculations and is the main advantage of the method.

Keywords: electric circuit, constitutive equation, numerical solution, orthogonality of basic functions