Definitions
We need to introduce a few necessary network definitions to provide a compact proof.
Incidence matrix: The matrix is called node-to-branch incidence matrix for the matrix elements being
A reference or datum node is introduced to represent the environment and connected to all dynamic nodes and terminals. The matrix, where the row that contains the elements of the reference node is eliminated, is called reduced incidence matrix.
The conservation laws (KCL) in vector-matrix form:
The uniqueness condition for the potentials (KVL) in vector-matrix form:
where are the absolute potentials at the nodes to the reference node .
Read more about this topic: Tellegen's Theorem
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