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A digital-computer-programmed topological method of coordinate selection for numerical computations in an electrical network

Citation

Lock, Kenneth (1962) A digital-computer-programmed topological method of coordinate selection for numerical computations in an electrical network. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:08192011-102613198

Abstract

In this thesis an algorithm is developed for setting up the differential equations and initial conditions of an electrical network of arbitrarily connected capacitors, resistors, inductors, multiwinding ideal transformers, and ideal voltage and current sources that topologically represents a large class of systems. The algorithm formulates the equation in a set of coordinates such that all matrices to be inverted are nonsingular. The topological description of the circuit is used to select a nonsingular set of coordinates which enables the computation of the transient responses and the short circuit admittances to a set of arbitrarily chosen ports of a network. Transformers are accounted for by appropriately selecting a set of dependent variables from the set of transformer linear equations. The algorithm for selecting a nonsingular set of coordinates, being mainly symbol manipulations, is coded in LISP. It is also shown that the same method may be applied to systems with nonlinear parameter matrices.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Electrical Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • McCann, Gilbert Donald
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1962
Record Number:CaltechTHESIS:08192011-102613198
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:08192011-102613198
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6604
Collection:CaltechTHESIS
Deposited By: John Wade
Deposited On:19 Aug 2011 17:49
Last Modified:26 Dec 2012 04:38

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