Pi-Section Line
Purpose
Single-phase pi-section transmission line
Library
Electrical / Passive Components
Description
The Pi-Section Line implements a single-phase transmission line with parameters lumped in pi sections.
A transmission line is characterized by a uniform distribution of inductance, resistance, capacitance and conductance along the line. However, in many cases these distributed parameters can be approximated by cascading multiple pi sections with discrete components. The figure below illustrates the electrical circuit used for the line model.
Let be the length of the line and
the number of pi sections representing the
line. The inductance
, the resistance
, the capacitance
and the
conductance
of the discrete elements can then be calculated from their
per-unit-length counterparts
,
,
and
using the following equations:
Parameters
- Inductance per unit length
- The series line inductance
per unit length. If the length
is specified in meters (m) the unit of
is henries per meter (H/m).
- Resistance per unit length
- The series line resistance
per unit length. If the length
is specified in meters (m) the unit of
is ohms per meter (
/m).
- Capacitance per unit length
- The capacitance
between the line conductors per unit length. If the length
is specified in meters (m) the unit of
is farads per meter (F/m).
- Conductance per unit length
- The conductance
between the line conductors per unit length. If the length
is specified in meters (m) the unit of
is siemens per meter (S/m).
- Length
- The length
of the line. The unit of
must match the units
,
,
and
are based on.
- Number of pi sections
- Number of sections used to model the transmission line.
The default is
.
- Initial voltage
- A scalar value specifying the initial voltage of all capacitors at simulation start, in volts (V).