OPERATOR METHODS FOR PIECEWISE-LINEAR NETWORK ANALYSIS
Abstract
Efforts were made to develop systematic methods for the analysis of networks that contain piecewise-linear (PWL) elements. A general method was developed for analysis of resistive PWL networks, and special cases of PWL networks containing reactive elements were solved. As a more systematic method suitable for use with a digital computer, the PWL-operator method was developed. PWL operators are defined to represent the characteristic curves of PWL elements. The basic algebraic operations are defined for PWL operators and the algebraic properties are studied. A new operation is introduced, which solves a class of PWL-operator equations that cannot be solved in terms of the basic algebraic operations. PWL-operator methods are applied to determine input and transfer characteristics of resistive PWL networks, and the analysis of PWL two- ports is considered. PWL-operator methods are used to analyze vacuum-tube and transistor circuits. Extension of PWL-operator methods to PWL networks that contain reactive elements is considered. Computer programs for the analysis of PWL networks are discussed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 31, 1961
- Accession Number
- AD0273849
Entities
People
- C. H. Roth
Organizations
- Stanford University