Electrical Engineering ⇒ Topic : Millmans Theorem with d.c

Millman's Theorem

Millman's theorem states that in any network, if the voltage sources V₁, V₂, ... V_n in series with internal resistances R₁, R₂,.... R_n, respectively, are in parallel, then these sources may be replaced by a single voltage source V' in series with R' as shown in Fig.(a).

Here G_n is the conductance of the nth branch,

                                                                       figure (a)

A similar theorem can be stated for n current sources having internal conductances which can be replaced by a single current source /' in parallel with an equivalent conductance.

                                                                       figure (b)