Conditions for Network-Element-Value Solvability

The concept of network-element-value solvability is introduced and its importance in the establishment of methods of automatic trouble-shooting of electronic equipment is pointed out. First, a set of definitions is given which enables an objective discussion to be made of network solvability of arbi...

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Bibliographic Details
Published inI.R.E. transactions on circuit theory Vol. 9; no. 1; pp. 24 - 29
Main Author Berkowitz, R.
Format Journal Article
LanguageEnglish
Published IEEE 01.01.1962
Subjects
Admittance measurement
Circuit faults
Circuit synthesis
Circuit theory
Circuit topology
Electronic equipment
Joining processes
Network synthesis
Network topology
Voltage
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ISSN0096-2007
DOI10.1109/TCT.1962.1086882

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Summary:The concept of network-element-value solvability is introduced and its importance in the establishment of methods of automatic trouble-shooting of electronic equipment is pointed out. First, a set of definitions is given which enables an objective discussion to be made of network solvability of arbitrary passive, linear, lumped parameter networks with respect to a restricted set of external terminals (available and partly available). Next, a relation is obtained connecting the number of available and partly available terminals of a network with the number of admittance functions determining the measurable behavior of the network. Theorems A, B and C then give solvability conditions for purely resistive networks. It is shown that the theory developed can be extended to include networks with internal energy sources (Theorem D). A general necessary condition for network-element-value solvability is then obtained (Theorems E and F). Finally, examples are given showing applications and limitations of the theorems obtained.
ISSN:0096-2007
DOI:10.1109/TCT.1962.1086882