State Space Analysis of a Ladder Network Representing a Transmission Line

Abstract

In this paper, the state space analysis of a ladder network representing a transmission line is used to determine the transient voltage and current distribution along the line following the impact of a step function of voltage at the input terminal.

MTL robust testing and verification for LPV systems

“…Such circuits are used to represent high voltage transmission lines where the requirement is the protection of the line against traveling waves or the interconnect in ultra-deep submicron integrated circuits where we have to study the interconnect delay. Under the assumption that the values of r, l and c are constant and known, we can easily derive (see for example [19]) a set of linear differential equationsẋ(t) = Ax(t)+bu in (t), which form the state space representation of the RLC circuit. Here, the state vector x consists of the currents in the inductances (x 1 , x 3 , .…”

Proportional plus integral control of ladder circuits modeled in the form of two-dimensional (2D) systems

“…Swierniak et al (1999) and in the simulation of physical systems such as mechanical, chemical, thermal, e.g. Indulkar (2005). Hence, there is the significant interest in the general area of the analysis and the synthesis of electric ladder circuits, e.g.…”