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Simultaneous Analysis of Nonlinear Networks on a Digital Computer
[Technical Report, Technical Memo]
PENNSYLVANIA STATE UNIV STATE COLLEGE
Pagination or Media Count:
The purpose of this investigation was to develop the necessary techniques and algorithms to allow the solution of a general nonlinear network on a large scale digital computer. The network equations describing a general nonlinear network were developed from basic principles to obtain a final formulation that describes the network as a set of nonlinear differential equations. Since these equations must be solved numerically, a method that gives the minimum set of equations was chosen. This formulation is the state variable form with the capacitive voltages and inductive currents chosen as the variables. The existence and uniqueness of the analytical solution was shown to exist if the partial derivatives of the parametric network functions are continuous functions. Computer algorithms were developed to accept the schematic network representation and the nonlinear parameter functions, and generated all the required topological and parametric relationships. The numerical experiments conducted during the course of this investigation verify the accuracy of simulation and the versatility of the methods developed in analyzing general nonlinear networks.
[A, Approved For Public Release]