On the Dynamic Equations of a Class of Nonlinear RLC Networks

A method for obtaining the dynamic equations for a broad class of driven nonlinear networks is presented. The parametric approach to element value characterization leads to a mathematical description for any unicursal network element. The parametric representation allows the mathematical description of any RLC network which contains such elements and independent sources by means of a set of coupled algebraic-differential equations. The conditions under which these governing equations can be reformulated in the mathematically convenient normal form are given with the explicit means for doing so. Finally, simple methods are presented for revising the original network model so that the normal form exists over the entire dynamic space under mild restrictions.