A methodology is presented to study the interaction of electromagnetic
disturbances with complex systems represented as networks of transmis
sion lines. The systems are separated into distributed and lumped part
s: a clear distinction is made between circuits of discrete lumped, li
near, passive or active components that represent loads or interconnec
tion blocks, and connecting wires that are treated as multi-conductor
transmission lines. The telegrapher's differential equations represent
a widely accepted model for wire bundles, buses or lines of common us
e in electrical and electronic circuitry. Coupling with external inter
fering disturbances is rigorously evaluated, and equivalent distribute
d sources are introduced along the lines. Each subsystem is viewed as
a multi-port component and is characterized in terms of a multi-port m
atrix. This is a natural choice for the distributed element sections a
nd it is also well suited for lumped circuits. The key element of this
formulation is the definition of a correspondance matrix that account
s for the topology of the connections between sections and blocks. The
solution of the system equations describes the influence of a disturb
ance in virtually any section of the network. The potential of this me
thod to display either the frequency or the time response at different
places inside a complex system is assessed.