Far East Journal of Electronics and Communications
-->
Abstract: We consider a one-port, not necessarily linear, with a
dependent source, appearing at the port. The control of the source is entirely
internal for the one-port. If this source is a parallel voltage source, then the
equivalent circuit is an ideal independent voltage source, and if it is a series
current source, then the equivalent circuit is an ideal independent current
source.(As usual, “ideal”
source is defined as a source whose proposed function is independent of the
load.)In the simple LTI case, these
results can be obtained, respectively, by either taking zero in the
Thevenin equivalent, or taking infinite in
the Norton equivalent; however, the very fact that the final circuits do not
include any linear elements indicates the possibility of a generalization to
nonlinear one-ports. The requirement of unique solvability allows constructive
proofs to be suggested, but applications to chaotic circuits should not be
excluded. Some limitations on the circuit’s structure (functional dependencies
in it) are required.
Keywords and phrases: electronics design, ideal sources, power supplies, nonlinear networks, Thevenin and Norton theorem.