ACED#
Type for AC-based economic dispatch.
Common Parameters: c2, c1, c0, pmax, pmin, pd, ptdf, rate_a, qd
Common Vars: pg, aBus, vBus, qg
Common Constraints: pb, lub, llb
Available routines: ACOPF
ACOPF#
Standard AC optimal power flow.
Notes#
ACOPF is solved with PYPOWER
runopf
function.ACOPF formulation in AMS style is NOT DONE YET, but this does not affect the results because the data are passed to PYPOWER for solving.
Objective#
Unit |
Expression |
---|---|
\(min. \sum(c_{2} p_{g}^{2} + c_{1} p_{g} + c_{0})\) |
Constraints#
Name |
Description |
Expression |
---|---|---|
pb |
power balance |
\(\sum(p_{d}) - \sum(p_{g}) = 0\) |
Vars#
Name |
Symbol |
Description |
Unit |
Source |
Properties |
---|---|---|---|---|---|
pg |
\(p_{g}\) |
Gen active power |
p.u. |
StaticGen.p |
|
aBus |
\(a_{Bus}\) |
bus voltage angle |
rad |
Bus.a |
|
plf |
\(p_{lf}\) |
Line flow |
p.u. |
||
vBus |
\(v_{Bus}\) |
Bus voltage magnitude |
p.u. |
Bus.v |
|
qg |
\(q_{g}\) |
Gen reactive power |
p.u. |
StaticGen.q |
Parameters#
Name |
Symbol |
Description |
Unit |
Source |
---|---|---|---|---|
x |
\(x\) |
line reactance |
p.u. |
Line.x |
tap |
\(t_{ap}\) |
transformer branch tap ratio |
float |
Line.tap |
phi |
\(\phi\) |
transformer branch phase shift in rad |
radian |
Line.phi |
pd |
\(p_{d}\) |
active deman |
p.u. |
StaticLoad.p0 |
c2 |
\(c_{2}\) |
Gen cost coefficient 2 |
$/(p.u.^2) |
GCost.c2 |
c1 |
\(c_{1}\) |
Gen cost coefficient 1 |
$/(p.u.) |
GCost.c1 |
c0 |
\(c_{0}\) |
Gen cost coefficient 0 |
$ |
GCost.c0 |
qd |
\(q_{d}\) |
reactive demand |
p.u. |
StaticLoad.q0 |