.Spot.ACdqo.Lines.PIline

Information

Transmission line modelled as discretised telegraph-equation, 'pi-elements'.

The line of total length len is divided into elements of length delta = len/n. It is composed of n-1 interior elements of length delta and at each end of a half-element of length delta/2. Therefore it contains n interior nodes. Each element corresponds to a series resistor-inductor with values R and L corresponding to its length. A shunt parallel capacitor-conductor is linked to each node.
The minimum of n is 1.

This kind of discretisation is slightly more complicated than the division of the line into n identical elements, but it results in a symmetric model with respect to interchanging positive and negative terminal. The set of equations of two series connected lines of length len1 and len2 is identical to the set of equations for one line of length len1 + len2 if delta1 = delta2. Otherwise differences occur from the different discretisation length.