The general form of some common network theorems

Whereas network theorems are widely used for the reduction and simplification of networks of a substantial degree of complexity, they tend to be neglected when complex systems are to be solved on a network analyzer. The network analyzer has proved to be a very satisfactory tool for power network analysis, but a review of the situation is profitable for cases of large problems which may exceed the number of impedance units available. There are two main general aspects to the use of network theorems: 1. The use of theorems for the specific investigation of a portion of a network, or the relationship between two portions of a network, e.g., Thevenin´s, or the compensation, theorem. 2. The use of techniques of successive reduction, e.g., mesh-to-star transformation.