This paper presents mathematical modelling of telegraph equations and as an application of
transmission lines in electrical signals and gives a survey of the results on the development …

A complete mathematical model of power transmission lines is obtained for time and space
dependent shunt parameters and time dependent series parameters. All possible initial and …

The second‐order one‐dimensional linear hyperbolic equation with time and space variable
coefficients and nonlocal boundary conditions is solved by using stable operator‐difference …

A second‐order linear hyperbolic equation with time‐derivative term subject to appropriate
initial and Dirichlet boundary conditions is considered. Second‐order unconditionally …

Some changes in the application of the numeric trapezoidal integration are analyzed for
applications considering π circuits. It is considered numeric and computational proceedings …

In the analysis of lightning surges, transmission towers are usually simulated by nonuniform
lines, but overhead lines are assumed uniform. If the effect of line sags is considered, the …

An abstract Cauchy problem for second-order hyperbolic differential equations containing
the unbounded self-adjoint positive linear operator A (t) with domain in an arbitrary Hilbert …

For modeling the transmission lines with lumped elements, it is necessary to use a large
amount of n circuits in cascade. However, using this type of model, numerical simulations …

This paper describes a new transmission line model for electromagnetic transient analysis in
time domain which accounts for non-uniform and frequency dependence effects. This model …

Models based on lumped elements are simple ones to represent systems composed by
distributed parameters when models with lumped elements use a lot of these elements …