Showing papers on "Topology (electrical circuits) published in 1971"

Infinite networks: I--Resistive networks

Abstract: There are several examples of infinite networks of resistors; it is always assumed that a unique current exists as a consequence of Kirchhoff's laws. Actually, unlike the situation in finite networks, these laws are insufficient to determine a unique current. A plausible set of network laws are formulated and two main theorems are proved. 1) In an infinite network consisting of nonnegative resistors (with no short circuits) and a finite number of sources, there exists a unique current flow. 2) This current flow is the limit of the unique current flows in finite, subnetworks that approximate the whole network. Methods of algebraic topology and Hilbert space theory are used in the formulations and proofs.

ECAP II-a new electronic circuit analysis program

Abstract: ECAP II is a nonlinear d.c. and transient circuit analysis program capable of handling circuits larger than 1000 branches. It uses a free-format problem-oriented input language for describing the circuit parameters and topology. The program includes a nested model feature that permits the user to store in a model library circuit descriptions of devices, subcircuits, etc., for subsequent recall and insertion into larger circuits. Nonlinearities can be specified by means of tables, certain built-in functions such as the diode equation, and Fortran subroutines. All circuit elements can be made to depend on any current or voltage, on other circuit parameters, or on time itself. The user may specify which variables are to be printed out or plotted and what type of analysis is to be carried out. Diagnostics are provided to pinpoint errors in the input format and/or inconsistencies in the circuit description. A number of new mathematical and programming techniques are incorporated in the program, including sparse matrix storage and computation, dynamic storage allocation, and variable order implicit integration.

Gated diode memory

Abstract: A very small and fast-acting memory cell for MOS or MNS circuitry is provided by using a gated diode in place of an IGFET as the memory element of a half-inverter memory array. A preferred space-saving topology of a memory cell in accordance with this invention is shown.

Analytical design of instrument servomechanisms with spring-coupled inertial dampers†

Abstract: Dimensicmless design parameters for instrument servomechanisms fitted with spring-coupled inertial dampers, or feedback systems equivalent to them, are evaluated from an analytical root locus study. A general philosophy for resolving root locus topology, using an approximation theorem and an auxiliary root locus, is illustrated.

On signal flow graph analysis of ladder networks

Abstract: A unified short-cut tool for the analysis of both network and sensitivity functions of a ladder network is given. New results on the sensitivity analysis provide a simple useful method for laboratory measurements.

Improved algorithm for road-traffic control

Abstract: An algorithm for the systematic co-ordination of traffic signals in urban areas is described. The delay time for traffic is minimised by selecting a series-parallel pattern of the road network. A practical procedure is proposed for determining the optimum pattern.