Premium
Generalized analytical formulae to compute electrical characteristics of a homogenous ladder network of the transformer winding
Author(s) -
Mondal Mithun,
Kumbhar Ganesh Balu
Publication year - 2018
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2446
Subject(s) - electrical network , transformer , boundary value problem , computation , ordinary differential equation , mathematics , equivalent circuit , resistive touchscreen , inductance , node (physics) , network analysis , mathematical analysis , topology (electrical circuits) , differential equation , voltage , algorithm , electrical engineering , engineering , structural engineering , combinatorics
Summary Many electrical systems are expressed as a complex ladder network consisting of combinations of resistances, inductances, and capacitances. Computation of electrical characteristics, such as voltages, currents, and equivalent impedances of these ladder networks require the solution of complicated differential‐algebraic equations that are quite tedious and cumbersome. The earlier works have given particular attention to purely resistive ladder networks ignoring the inductance and capacitance parameters. Moreover, there are no direct expressions available to quickly compute these characteristics. This paper derives generalized analytical expressions that can be directly used to obtain the electrical characteristics of a finite as well as semi‐infinite homogenous ladder network by simply plugging the values of its constituent parameters. Expressions are deduced for excitation source applied to the input terminal and across 2 arbitrary nodes, respectively. Kirchhoff mesh and node laws along with ordinary algebra and trigonometric theorems are applied to derive these expressions. Boundary‐value technique is used to circuit equations to determine unknown coefficients of the expressions. The derivation given in these paper would surely help the readers to quickly compute the electrical characteristics without solving recursive circuit equations and avoiding complex state‐space matrices.