III — An analytical and graphical solution for non-sinusoidal alternating currents

The solution which is usual in case of sinusoidal currents for series circuits containing R, L and C may be modified by the introduction of current distortion factors δ′ and σ′ so as to hold for non-sinusoidal currents. The usual solution for parallel circuits may likewise be modified by similar voltage distortion factors, δ and σ. In Part I. the general analytical solution for series circuits is followed by a corresponding graphical solution and a discussion of special cases. In Part II. the general analytical solution for parallel circuits is likewise followed by a graphical solution and special cases. In both series and in parallel circuits, not only are the effects of L and of C changed in value by distortion, but these effects are changed, relatively, in phase and are no longer in exact phase opposition as in case of sinusoidal currents and voltages. The mathematical transformations on which the solutions are based are given in an appendix.