StaticShunt#
Static shunt compensator group.
Common Parameters: u, name
Available models: Shunt, ShuntTD, ShuntSw
Shunt#
Phasor-domain shunt compensator Model.
Parameters#
Name |
Symbol |
Description |
Default |
Unit |
Properties |
|---|---|---|---|---|---|
idx |
unique device idx |
||||
u |
\(u\) |
connection status |
1 |
bool |
|
name |
device name |
||||
bus |
idx of connected bus |
mandatory |
|||
Sn |
\(S_n\) |
Power rating |
100 |
non_zero |
|
Vn |
\(V_n\) |
AC voltage rating |
110 |
non_zero |
|
g |
\(g\) |
shunt conductance (real part) |
0 |
y |
|
b |
\(b\) |
shunt susceptance (positive as capacitive) |
0 |
y |
|
fn |
\(f_n\) |
rated frequency |
60 |
Variables#
Name |
Symbol |
Type |
Description |
Unit |
Properties |
|---|---|---|---|---|---|
a |
\(a\) |
ExtAlgeb |
|||
v |
\(v\) |
ExtAlgeb |
Initialization Equations#
Name |
Symbol |
Type |
Initial Value |
|---|---|---|---|
a |
\(a\) |
ExtAlgeb |
|
v |
\(v\) |
ExtAlgeb |
Algebraic Equations#
Name |
Symbol |
Type |
RHS of Equation "0 = g(x, y)" |
|---|---|---|---|
a |
\(a\) |
ExtAlgeb |
\(g u v^{2}\) |
v |
\(v\) |
ExtAlgeb |
\(- b u v^{2}\) |
Config Fields in [Shunt]
Option |
Symbol |
Value |
Info |
Accepted values |
|---|---|---|---|---|
allow_adjust |
1 |
allow adjusting upper or lower limits |
(0, 1) |
|
adjust_lower |
0 |
adjust lower limit |
(0, 1) |
|
adjust_upper |
1 |
adjust upper limit |
(0, 1) |
ShuntTD#
Static shunt model with inverse transformation from phasor to time-domain.
Parameters#
Name |
Symbol |
Description |
Default |
Unit |
Properties |
|---|---|---|---|---|---|
idx |
unique device idx |
||||
u |
\(u\) |
connection status |
1 |
bool |
|
name |
device name |
||||
bus |
idx of connected bus |
mandatory |
|||
Sn |
\(S_n\) |
Power rating |
100 |
non_zero |
|
Vn |
\(V_n\) |
AC voltage rating |
110 |
non_zero |
|
g |
\(g\) |
shunt conductance (real part) |
0 |
y |
|
b |
\(b\) |
shunt susceptance (positive as capacitive) |
0 |
y |
|
fn |
\(f_n\) |
rated frequency |
60 |
Variables#
Name |
Symbol |
Type |
Description |
Unit |
Properties |
|---|---|---|---|---|---|
vta |
\(vta\) |
Algeb |
v_str |
||
vtb |
\(vtb\) |
Algeb |
v_str |
||
vtc |
\(vtc\) |
Algeb |
v_str |
||
a |
\(a\) |
ExtAlgeb |
|||
v |
\(v\) |
ExtAlgeb |
Initialization Equations#
Name |
Symbol |
Type |
Initial Value |
|---|---|---|---|
vta |
\(vta\) |
Algeb |
\(\frac{\sqrt{3} v \cos{\left(a + 2 \pi f_{sys} t_{dae} \right)}}{3}\) |
vtb |
\(vtb\) |
Algeb |
\(- \frac{\sqrt{3} v \cos{\left(a + 2 \pi f_{sys} t_{dae} + \frac{\pi}{3} \right)}}{3}\) |
vtc |
\(vtc\) |
Algeb |
\(- \frac{\sqrt{3} v \sin{\left(a + 2 \pi f_{sys} t_{dae} + \frac{\pi}{6} \right)}}{3}\) |
a |
\(a\) |
ExtAlgeb |
|
v |
\(v\) |
ExtAlgeb |
Algebraic Equations#
Name |
Symbol |
Type |
RHS of Equation "0 = g(x, y)" |
|---|---|---|---|
vta |
\(vta\) |
Algeb |
\(\frac{\sqrt{3} v \cos{\left(a + 2 \pi f_{sys} t_{dae} \right)}}{3} - vta\) |
vtb |
\(vtb\) |
Algeb |
\(- \frac{\sqrt{3} v \cos{\left(a + 2 \pi f_{sys} t_{dae} + \frac{\pi}{3} \right)}}{3} - vtb\) |
vtc |
\(vtc\) |
Algeb |
\(- \frac{\sqrt{3} v \sin{\left(a + 2 \pi f_{sys} t_{dae} + \frac{\pi}{6} \right)}}{3} - vtc\) |
a |
\(a\) |
ExtAlgeb |
\(g u v^{2}\) |
v |
\(v\) |
ExtAlgeb |
\(- b u v^{2}\) |
Config Fields in [ShuntTD]
Option |
Symbol |
Value |
Info |
Accepted values |
|---|---|---|---|---|
allow_adjust |
1 |
allow adjusting upper or lower limits |
(0, 1) |
|
adjust_lower |
0 |
adjust lower limit |
(0, 1) |
|
adjust_upper |
1 |
adjust upper limit |
(0, 1) |
ShuntSw#
Switched Shunt Model.
Parameters gs, bs and bs must be entered in string literals, comma-separated. They need to have the same length.
For example, in the excel file, one can put
gs = [0, 0]
bs = [0.2, 0.2]
ns = [2, 4]
To use individual shunts as fixed shunts, set the corresponding ns = 0 or ns = [0].
The effective shunt susceptances and conductances are stored in services beff and geff.
Parameters#
Name |
Symbol |
Description |
Default |
Unit |
Properties |
|---|---|---|---|---|---|
idx |
unique device idx |
||||
u |
\(u\) |
connection status |
1 |
bool |
|
name |
device name |
||||
bus |
idx of connected bus |
mandatory |
|||
Sn |
\(S_n\) |
Power rating |
100 |
non_zero |
|
Vn |
\(V_n\) |
AC voltage rating |
110 |
non_zero |
|
g |
\(g\) |
shunt conductance (real part) |
0 |
y |
|
b |
\(b\) |
shunt susceptance (positive as capacitive) |
0 |
y |
|
fn |
\(f_n\) |
rated frequency |
60 |
||
gs |
a list literal of switched conductances blocks |
0 |
p.u. |
y |
|
bs |
a list literal of switched susceptances blocks |
0 |
p.u. |
y |
|
ns |
a list literal of the element numbers in each switched block |
[0] |
|||
vref |
voltage reference |
1 |
p.u. |
non_zero,non_negative |
|
dv |
voltage error deadband |
0.050 |
p.u. |
non_zero,non_negative |
|
dt |
delay before two consecutive switching |
30 |
seconds |
non_negative |
Variables#
Name |
Symbol |
Type |
Description |
Unit |
Properties |
|---|---|---|---|---|---|
a |
\(a\) |
ExtAlgeb |
|||
v |
\(v\) |
ExtAlgeb |
Initialization Equations#
Name |
Symbol |
Type |
Initial Value |
|---|---|---|---|
a |
\(a\) |
ExtAlgeb |
|
v |
\(v\) |
ExtAlgeb |
Algebraic Equations#
Name |
Symbol |
Type |
RHS of Equation "0 = g(x, y)" |
|---|---|---|---|
a |
\(a\) |
ExtAlgeb |
\(geff u v^{2}\) |
v |
\(v\) |
ExtAlgeb |
\(- beff u v^{2}\) |
Services#
Name |
Symbol |
Equation |
Type |
|---|---|---|---|
vlo |
\(v_{lo}\) |
\(- dv + vref\) |
ConstService |
vup |
\(v_{up}\) |
\(dv + vref\) |
ConstService |
Discretes#
Name |
Symbol |
Type |
Info |
|---|---|---|---|
adj |
\(adj\) |
ShuntAdjust |
shunt adjuster |
Config Fields in [ShuntSw]
Option |
Symbol |
Value |
Info |
Accepted values |
|---|---|---|---|---|
allow_adjust |
1 |
allow adjusting upper or lower limits |
(0, 1) |
|
adjust_lower |
0 |
adjust lower limit |
(0, 1) |
|
adjust_upper |
1 |
adjust upper limit |
(0, 1) |
|
min_iter |
\(sw_{iter}\) |
2 |
iteration number starting from which to enable switching |
int |
err_tol |
\(\epsilon_{tol}\) |
0.010 |
iteration error below which to enable switching |
float |