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We consider a 1-port, not necessarily linear, with a dependent source,appearing at the port. The control of the source is entirely internal for the1-port. If this source is a parallel voltage source, then the equivalentcircuit is an ideal independent voltage source, and if it is a series currentsource, then the equivalent circuit is an ideal independent current source. (Asusual, "ideal" source is defined as a source whose proposed function isindependent of the load.) In the simple LTI case, these results can beobtained, respectively, by either taking RTh zero in the Thevenin equivalent,or taking RN infinite in the Norton equivalent; however the very fact that thefinal circuits do not include any linear elements indicates the possibility ofgeneralization to nonlinear 1-ports. Some limitations on the circuit'sstructure (functional dependencies in it) are required, and the clearness ofthese limitations, i.e. clearness of the conditions for the 1-port to be anideal source for any load, is the aesthetical point.

An ideal independent source as an equivalent 1-port