Electrical Engineering ⇒ Topic : Tellegens Theorem with sinusoidal excitation

Tellegen's Theorem 

The Tellegen's theorem states that the summation of instantaneous power or summation of complex power of sinusoidal sources in a network is zero. The network power may be linear or non linear, passive or active and time invariant or variant.The Tellegen's theorem is used to design filters in signal processing applications.The assumptions for electrical circuits are generalized for dynamic systems obeying the laws of irreversible thermodynamics. Topology and structure of reaction networks can be analyzed using the Tellegen's theorem. Another application of Tellegen's theorem is to determine stability and optimality of complex process systems.

Consider a network shown in Fig.(a)

                                                                                                figure (a)