modelPIline

PI transmission line, 3-phase dqo

Extends from Ports.Port_p_n (AC two port, 3-phase), Partials.PIlineBase (PI-line base, 3-phase dqo).

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.

Parameters

TypeNameDefaultDescription
BooleanstIni_en (from RXlineBase)trueenable steady-state initial equation
SIpu.Length_kmlen (from RXlineBase)100line length
Integerne (from RXlineBase)1number of pi-elements
Parameters.RXlinepar (from RXlineBase)line parameter

Connectors

TypeNameDefaultDescription
Base.Interfaces.ACdqo_pterm_p (from Port_p_n)positive terminal
Base.Interfaces.ACdqo_nterm_n (from Port_p_n)negative terminal

Components

TypeNameDefaultDescription
SI.Voltagev
SI.Currenti