ON THE CONGRUENT TRANSFORMATION OF ELECTRICAL NETWORKS FOR EQUIVALENT FORMS.
Abstract
In this thesis the generation of equivalent networks by means of a congruent transformation using a variable transformation matrix applied to the admittance matrix of an n+1 node, common datum, network is studied. The ranges of the values of the elements of the transformation matrix which yield passive RLC components for the equivalent network without mutual inductances are considered. When the transformation matrix is diagonal the solution involves a set of linear algebraic inequalities. In the general case, when all the elements of the transformation matrix are present, the solution involves non-linear algebraic inequalities. The region of passive component realizability consists of a hyper-volume in the space of the elements of the transformation matrix, and the use of exponential searching functions to generate equivalent networks with design constraints is investigated. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1967
- Accession Number
- AD0816054
Entities
People
- Abolfath Ardalan
Organizations
- Naval Postgraduate School