Author Contributions
Conceptualization, S.N., M.E.S.M. and A.K.R.; methodology, S.N., M.E.S.M. and A.K.R.; software, S.N., M.E.S.M. and A.K.R.; validation, S.N., M.E.S.M. and A.K.R.; formal analysis, S.N., M.E.S.M. and A.K.R.; investigation, S.N., M.E.S.M. and A.K.R.; resources, S.N., M.E.S.M. and A.K.R.; data curation, S.N., M.E.S.M. and A.K.R.; writing—original draft preparation, S.N., M.E.S.M. and A.K.R.; writing—review and editing, S.N., M.E.S.M. and A.K.R.; visualization, S.N., M.E.S.M. and A.K.R.; supervision, S.N., M.E.S.M. and A.K.R.; project administration, S.N., M.E.S.M. and A.K.R.; funding acquisition, S.N., M.E.S.M. and A.K.R. All authors have read and agreed to the published version of the manuscript.
Figure 1.
Upwind horizontal-axis wind turbine generator unit [
12].
Figure 1.
Upwind horizontal-axis wind turbine generator unit [
12].
Figure 2.
Downwind horizontal-axis wind turbine generator unit [
12].
Figure 2.
Downwind horizontal-axis wind turbine generator unit [
12].
Figure 3.
Minimum frequency operating range of renewable power plants during system frequency disturbances [
24,
28].
Figure 3.
Minimum frequency operating range of renewable power plants during system frequency disturbances [
24,
28].
Figure 4.
Voltage ride-through capability for renewable power plants of Category A3, B, and C [
24,
28].
Figure 4.
Voltage ride-through capability for renewable power plants of Category A3, B, and C [
24,
28].
Figure 5.
Requirements for reactive power support during the voltage drops and peaks at the point of common coupling [
24,
28].
Figure 5.
Requirements for reactive power support during the voltage drops and peaks at the point of common coupling [
24,
28].
Figure 6.
Power curtailment during over-frequency for renewable power plants [
24,
28].
Figure 6.
Power curtailment during over-frequency for renewable power plants [
24,
28].
Figure 7.
Reactive power requirements for renewable power plants of Category C at the point of common coupling (Qmin and Qmax are voltage-dependent, as defined in
Figure 8) [
24,
28].
Figure 7.
Reactive power requirements for renewable power plants of Category C at the point of common coupling (Qmin and Qmax are voltage-dependent, as defined in
Figure 8) [
24,
28].
Figure 8.
Requirements for reactive power and voltage control range for renewable power plants of Category C [
24,
28].
Figure 8.
Requirements for reactive power and voltage control range for renewable power plants of Category C [
24,
28].
Figure 9.
Reactive power requirements for renewable power plants of Category C (at the nominal voltage at the point of common coupling) [
24,
28].
Figure 9.
Reactive power requirements for renewable power plants of Category C (at the nominal voltage at the point of common coupling) [
24,
28].
Figure 10.
Reactive power control functions for a renewable power plant [
24,
28].
Figure 10.
Reactive power control functions for a renewable power plant [
24,
28].
Figure 11.
Voltage control of a renewable power plant [
24,
28].
Figure 11.
Voltage control of a renewable power plant [
24,
28].
Figure 12.
Modified IEEE 9 Bus Power System, adapted from the previous studies [
32].
Figure 12.
Modified IEEE 9 Bus Power System, adapted from the previous studies [
32].
Figure 13.
Logic for load schedular and direct proportionality of active and reactive power demand.
Figure 13.
Logic for load schedular and direct proportionality of active and reactive power demand.
Figure 14.
Increased load demand simulations for the power grid: Active power demand by DLoad1 and active power at Bus2.
Figure 14.
Increased load demand simulations for the power grid: Active power demand by DLoad1 and active power at Bus2.
Figure 15.
Increased load demand simulations for the power grid: Reactive power demand by DLoad1 and reactive power at Bus2.
Figure 15.
Increased load demand simulations for the power grid: Reactive power demand by DLoad1 and reactive power at Bus2.
Figure 16.
Increased load demand simulations for the power grid: Active power demand by DLoad2 and active power at Bus3.
Figure 16.
Increased load demand simulations for the power grid: Active power demand by DLoad2 and active power at Bus3.
Figure 17.
Increased load demand simulations for the power grid: Reactive power demand by DLoad2 and reactive power at Bus3.
Figure 17.
Increased load demand simulations for the power grid: Reactive power demand by DLoad2 and reactive power at Bus3.
Figure 18.
Increased load demand simulations for the power grid: Active power demand by DLoad3 and active power at Bus5.
Figure 18.
Increased load demand simulations for the power grid: Active power demand by DLoad3 and active power at Bus5.
Figure 19.
Increased load demand simulations for the power grid: Reactive power demand by DLoad3 and reactive power at Bus5.
Figure 19.
Increased load demand simulations for the power grid: Reactive power demand by DLoad3 and reactive power at Bus5.
Figure 20.
Increased load demand simulations for the power grid: Bus1 voltage.
Figure 20.
Increased load demand simulations for the power grid: Bus1 voltage.
Figure 21.
Increased load demand simulations for the power grid: Bus2 voltage.
Figure 21.
Increased load demand simulations for the power grid: Bus2 voltage.
Figure 22.
Increased load demand simulations for the power grid: Bus3 voltage.
Figure 22.
Increased load demand simulations for the power grid: Bus3 voltage.
Figure 23.
Increased load demand simulations for the power grid: Bus4 voltage.
Figure 23.
Increased load demand simulations for the power grid: Bus4 voltage.
Figure 24.
Increased load demand simulations for the power grid: Bus5 voltage.
Figure 24.
Increased load demand simulations for the power grid: Bus5 voltage.
Figure 25.
Increased load demand simulations for the power grid: Bus6 voltage.
Figure 25.
Increased load demand simulations for the power grid: Bus6 voltage.
Figure 26.
Logic for pitch angle and wind speed adjustments.
Figure 26.
Logic for pitch angle and wind speed adjustments.
Figure 27.
RSCAD draft wind turbine model parameters.
Figure 27.
RSCAD draft wind turbine model parameters.
Figure 28.
Sliders, dial selector switches, and control switches for a wind turbine. All other wind turbines in the model have the same setup of components for adjustments.
Figure 28.
Sliders, dial selector switches, and control switches for a wind turbine. All other wind turbines in the model have the same setup of components for adjustments.
Figure 29.
The resultant interconnected system (modern power grid) after coupling the LSWPP into Bus2 (PCC).
Figure 29.
The resultant interconnected system (modern power grid) after coupling the LSWPP into Bus2 (PCC).
Figure 30.
Increased load demand simulations for the modern power grid: Active power demand by DLoad1 and active power at Bus2.
Figure 30.
Increased load demand simulations for the modern power grid: Active power demand by DLoad1 and active power at Bus2.
Figure 31.
Increased load demand simulations for the modern power grid: Reactive power demand by DLoad1 and reactive power at Bus2.
Figure 31.
Increased load demand simulations for the modern power grid: Reactive power demand by DLoad1 and reactive power at Bus2.
Figure 32.
Increased load demand simulations for the modern power grid: Bus2 voltage.
Figure 32.
Increased load demand simulations for the modern power grid: Bus2 voltage.
Table 1.
Horizontal-axis wind turbine generator unit classification based on rotor diameter, swept area, and power rating.
Table 1.
Horizontal-axis wind turbine generator unit classification based on rotor diameter, swept area, and power rating.
| Rotor Diameter (m) | Swept Area (Square Meters) | Standard Power Rating (Kilowatts) |
---|
Small-scale | Micro | 0.5–1.25 | 0.2–1.2 | 0.004–0.25 |
Mini | 1.25–3 | 1.2–7.1 | 0.25–1.4 |
Household | 3–10 | 7–79 | 1.4–16 |
Small commercial | 10–20 | 79–314 | 25–100 |
Medium commercial | 20–50 | 314–1963 | 100–1000 |
Large commercial | 50–100 | 1963–7854 | 1000–3000 |
Table 2.
Saudi Arabian standard grid voltages at which various types of wind power plants are integrated.
Table 2.
Saudi Arabian standard grid voltages at which various types of wind power plants are integrated.
Category | Wind Power Plant Group | Voltage (kV) |
---|
Transmission | Normal transmission | Offshore: Group 1 or Group 2 | 400 |
220 |
132 |
Sub-transmission | Onshore | 66 |
Distribution | Small wind turbines | 33 |
11 |
Table 3.
South African standard grid voltages.
Table 3.
South African standard grid voltages.
Category | Voltage (kV) | Level |
---|
Transmission | Normal transmission | 765 | Extra-high |
400 |
275 |
Sub-transmission | 132 | High |
Distribution | 66 |
50 |
33 | Medium |
25 |
22 |
11 |
Table 4.
South African renewable power plant categories.
Table 4.
South African renewable power plant categories.
Category | Minimum Capacity (kVA) | Maximum Capacity (kVA) | Integration Level Voltage |
---|
A | A1 | 0 | 13.8000 | LV |
A2 | 13.8000 | 100 | LV |
A3 | 100 | 1000 | LV |
B | 0 | 20,000 | MV |
C | >20,000 | - | MV/HV |
Table 5.
Minimum and maximum operating voltages at the point of common coupling.
Table 5.
Minimum and maximum operating voltages at the point of common coupling.
Nominal Voltage () in Kilovolt | Minimum (PU) | Maximum (PU) |
---|
132.0000 | 0.9000 | 1.0985 |
88.0000 | 0.9000 | 1.0985 |
66.0000 | 0.9000 | 1.0985 |
44.0000 | 0.9000 | 1.0800 |
33.0000 | 0.9000 | 1.0800 |
22.0000 | 0.9000 | 1.0800 |
11.0000 | 0.9000 | 1.0800 |
Table 6.
Renaming of components for the modified IEEE 9 Bus Power System.
Table 6.
Renaming of components for the modified IEEE 9 Bus Power System.
Original Name | Modified Names |
---|
Busbar | Component Connected to It | Busbar | Component Connected to It |
---|
1 | G1 | G1Bus | Gen1 |
2 | G2 | G2Bus | Gen2 |
3 | G3 | G3Bus | Gen3 |
4 | None | Bus1 | None |
5 | Unnamed load 1 | Bus2 | DLoad1 |
6 | Unnamed load 2 | Bus3 | DLoad2 |
7 | None | Bus4 | None |
8 | Unnamed load 3 | Bus5 | DLoad3 |
9 | None | Bus6 | None |
Table 7.
IEEE 9 Bus Power System transmission line parameters.
Table 7.
IEEE 9 Bus Power System transmission line parameters.
Lines | Busbar to Which Line Is Connected | Length (km) | Resistance (PU) | Reactance (PU) | Susceptance (PU) |
---|
Line12 | Bus1–Bus2 | 89.9300 | 0.0100 | 0.0850 | 0.1760 |
Line13 | Bus1–Bus3 | 97.3360 | 0.0170 | 0.0920 | 0.1580 |
Line24 | Bus2–Bus4 | 170.3380 | 0.0320 | 0.1610 | 0.3060 |
Line36 | Bus3–Bus6 | 179.8600 | 0.0390 | 0.1700 | 0.3580 |
Line45 | Bus4–Bus5 | 76.1760 | 0.0085 | 0.0720 | 0.1490 |
Line56 | Bus5–Bus6 | 106.6460 | 0.0119 | 0.1008 | 0.2090 |
Table 8.
Initial conditions of the IEEE 9 Bus Power System.
Table 8.
Initial conditions of the IEEE 9 Bus Power System.
Bus | Bus Type | Voltage (PU) | (MW) | (MVAr) | (MW) | (MVAr) |
---|
G1Bus | Slack | 1.0400∠0.0000° | 71.7798 | 36.2675 | - | - |
G2Bus | PV | 1.0250∠8.3639° | 163.0000 | 11.2300 | - | - |
G3Bus | PV | 1.0250∠4.0221° | 85.0000 | −3.7204 | - | - |
Bus1 | PQ | 1.0207∠27.7678° | - | - | - | - |
Bus2 | PQ | 0.9928∠26.3247° | - | - | 125.0000 | 50.0000 |
Bus3 | PQ | 1.0064∠26.5655° | - | - | 90.0000 | 30.0000 |
Bus4 | PQ | 1.0230∠32.7884° | - | - | - | - |
Bus5 | PQ | 1.0128∠30.2929° | - | - | 100.0000 | 35.0000 |
Bus6 | PQ | 1.0283∠31.3133° | - | - | - | - |
Table 9.
Active power on load busbars and their loads under initial load demand for the power grid.
Table 9.
Active power on load busbars and their loads under initial load demand for the power grid.
| Load Active Power (MW) | Busbar Active Power (MW) |
---|
DLoad1|Bus2 | 125.0000 | 125.0000 |
DLoad2|Bus3 | 90.0000 | 90.0000 |
DLoad3|Bua5 | 100.0000 | 100.0000 |
Table 10.
Reactive power on load busbars and their loads under initial load demand for the power grid.
Table 10.
Reactive power on load busbars and their loads under initial load demand for the power grid.
| Load Reactive Power (MVAr) | Busbar Reactive Power (MVAr) |
---|
DLoad1|Bus2 | 50.0000 | 50.0000 |
DLoad2|Bus3 | 30.0000 | 30.0000 |
DLoad3|Bua5 | 35.0000 | 35.0000 |
Table 11.
Busbar voltages under initial load demand for the power grid.
Table 11.
Busbar voltages under initial load demand for the power grid.
Busbars | Voltage (PU) |
---|
Bus1 | 1.0210 |
Bus2 | 0.9928 |
Bus3 | 1.0060 |
Bus4 | 1.0230 |
Bus5 | 1.0130 |
Bus6 | 1.0280 |
Table 12.
Mechanical data for wind turbine generator units is monitored at steady-state power flow.
Table 12.
Mechanical data for wind turbine generator units is monitored at steady-state power flow.
Quantities | Values |
---|
Wind speed | 14.0000 m/s |
Wind power | 23.3100 MW |
Wind turbine | 0.1720 |
Wind turbine power | 4.0040 MW |
Wind turbine rotor speed | 9.9000 rpm |
Wind turbine torque | 3.8580 MN.m |
Table 13.
Wind turbine generator unit electrical data monitored at steady-state power flow.
Table 13.
Wind turbine generator unit electrical data monitored at steady-state power flow.
Quantities | Values |
---|
WTGSU primary current | 0.0160 kA |
WTGSU secondary current | 0.0010 kA |
WTGU electrical torque | 0.0100 PU |
WTGU terminal voltage | 1.0800 PU |
WTGU exciter reactive power | 2.1230 MVAr |
WTGU active power (P) output | 0.0240 MW |
WTGU reactive power (Q) output | −2.0090 MVAr |
WTGU reactive power circuit current | 0.1600 kA |
Table 14.
Wind power plant sending-end data monitored at steady-state power flow.
Table 14.
Wind power plant sending-end data monitored at steady-state power flow.
Quantities | Values |
---|
Actual | Per Unit |
---|
Group 1 collector terminal voltage | 26.0200 kV | 1.0801 PU |
Group 2 collector terminal voltage | 26.0200 kV | 1.0801 PU |
Group 3 collector terminal voltage | 26.0200 kV | 1.0801 PU |
WPP sending-end bus voltage | 249.9000 kV | 1.0801 PU |
WPP receiving-end bus voltage | 249.9000 kV | 1.0801 PU |
WPP sending-end frequency | 50.0000 Hz | - |
WPP receiving-end frequency | 50.0000 Hz | - |
Table 15.
High-level activities of grid integration.
Table 15.
High-level activities of grid integration.
Planning | Physical Connection | System Operations |
---|
Power flow, short-circuit, and system stability studies | Build transmission from WPP to substation | Unit commitment |
System operations study | Connection at substation | Economic dispatch |
Wind power interconnection code | - | Wind energy forecasting |
Table 16.
Active power on load busbars and their loads under initial load demand for the modern power grid.
Table 16.
Active power on load busbars and their loads under initial load demand for the modern power grid.
| Load Active Power (MW) | Busbar Active Power (MW) |
---|
DLoad1|Bus2 | 125.0000 | 125.0000 |
DLoad2|Bus3 | 90.0000 | 90.0000 |
DLoad3|Bua5 | 100.0000 | 100.0000 |
Table 17.
Reactive power on load busbars and their loads under initial load demand for the modern power grid.
Table 17.
Reactive power on load busbars and their loads under initial load demand for the modern power grid.
| Load Reactive Power (MVAr) | Busbar Reactive Power (MVAr) |
---|
DLoad1|Bus2 | 50.0000 | 50.0000 |
DLoad2|Bus3 | 30.0000 | 30.0000 |
DLoad3|Bua5 | 35.0000 | 35.0000 |
Table 18.
Busbar voltage under initial load demand for the modern power grid.
Table 18.
Busbar voltage under initial load demand for the modern power grid.
Busbars | Voltage (PU) |
---|
Bus1 | 1.0210 |
Bus2 | 0.9928 |
Bus3 | 1.0060 |
Bus4 | 1.0230 |
Bus5 | 1.0130 |
Bus6 | 1.0280 |
WPPSEBus | 0.9930 |
WPPREBus | 0.9934 |