Pi Line Model
Model context and assumptions
Model schema
Line parameters
R : Resistance X : Reactance G : Half-conductance B : Half-susceptance Z Y :
Line variables
P1 Active power on side 1 Q1 “Reactive power on side 1 P2 Active power on side 2 Q2Pu Reactive power on side 2
Equations
\(Z * (i2 - Y * V2) = V2 - V1\) \(Z * (i1 - Y * V1) = V1 - V2\)
Open source implementations
Modelica
[Dynawo public library](https://github.com/dynawo/dynawo/blob/master/dynawo/sources/Models/Modelica/Dynawo/Electrical/Lines/Line.mo).