Title :
A phasor method of nonlinear network analysis
Author_Institution :
University of Illinois, Urbana, Ill
Abstract :
NONLINEAR problems present a real challenge to any engineer because no completely satisfactory general method of solution has been developed. However, the phasor method outlined herein can be used in the analysis of the steady state of any nonlinear network whose variables can be adequately represented by the sum of a limited number of simple sinusoidal functions of time. The method is the result of an effort to digest some of the classical approaches to the solution of nonlinear problems so they can be applied by means of elementary mathematics and at the same time provide a grasp of the influence of the individual nonlinear elements on the steady state of the nonlinear networks. It has the object of providing a tool for nonlinear analysis and synthesis to engineers who have not had extensive training in that area.
Keywords :
Circuit stability; Equations; Finite element methods; Harmonic analysis; Nonlinear network analysis; Stability analysis; Steady-state;
Journal_Title :
American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the
DOI :
10.1109/TCE.1957.6372569