Branch Voltage Research Articles

Solution of Mixed Impedance and Admittance Networks by Ordered Elimination

The relationship between the linear parameters of a power network can be described in two distinct forms. One form is an expression of nodal currents in terms of admittances and nodal voltages. A second form is an expression of branch voltages in terms of impedances and branch currents. The elimination method of solution can directly incorporate either or both of these forms. The technique removes many of the assumptions commonly used in network solutions without significantly increasing the complexity of the data preparation, the solution time, or the computer storage requirements. The method is a direct matrix technique, and the solution time and storage requirements vary approximately in direct proportion to the system size. Large systems can be solved in sections and equivalents conveniently obtained for each section.

A physical proof of Tellegen's theorem

A physically oriented proof is given for the generalized Tellegen's theorem. The proof consists of applying the law of energy conservation to a hypothetical network in which all branch voltages and currents are determined by independent sources.