Generalized Foster's identities
Zubeyir Cinkir
TL;DR
This paper introduces new identities related to voltage values and conductances in electrical networks, extending Foster's identities to higher orders and providing a broader theoretical framework.
Contribution
It establishes generalized identities involving voltage and conductance values, expanding the scope of Foster's network theorems.
Findings
Derived identities analogous to extended Foster's identities
Enhanced understanding of voltage and conductance relationships
Potential applications in network analysis and design
Abstract
Foster's network theorems and their extensions to higher orders involve resistance values and conductances. We establish identities concerning voltage values and conductances. Our identities are analogous to the extended Foster's identities.
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Taxonomy
TopicsGraph theory and applications · Limits and Structures in Graph Theory · Advanced Graph Theory Research