The Impact of Grid-Forming vs. Grid-Following Converters on Frequency Regulation: Comparing Centralised or Distributed Photovoltaic Generation
Abstract
:1. Introduction
2. System Description and Methodology
2.1. System Description
2.2. Methodology
- A conventional PV generation system based on GFL inverters or a system using GFM inverters;
- A centralised generation (CG) system consisting of a large PV plant connected at HV level or distributed PV generators (DG) connected at MV level.
- Under frequency case: load demand variations (DL) of +10%, +15% and +20% of the total load active power (constant power factor), once as a variation in a single HV load, load 3, and the other as a variation in the loads connected to the 33 kV MV distribution network;
- Over-frequency case: load demand variations (DL) of −10%, −15% and −20% of the total load active power (constant power factor), once as a variation in a single HV load, load 3, and the other as a variation in the loads connected to the 33 kV MV distribution network.
- Generation outage case: Gen1 is considered as a power plant composed of a group of machines at which the loss of 25%, 33% and 50% of the plant is tested.
- Step size of 0.05 s
- Contingency occurs at t = 1 s
- Simulation time is 30 s.
3. Simulations and Results
3.1. Unbalance Underfrequency Case
3.2. Unbalance Over-Frequency Case
3.3. Generation Outage Case
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A. REPC_A Model
Name | Value | Unit | Description |
Rc | 0 | [p.u.] | Line drop compensation resistance |
Xc | 0 | [p.u.] | Line drop compensation reactance |
Tfltr | 0.02 | [s] | Voltage and reactive power filter time constant |
Tp | 0.02 | [s] | Active power filter time constant |
db | 0.002 | [p.u.] | Deadband in reactive power or voltage control |
Kp | 1 | [p.u./p.u.] | Volt/VAR regulator proportional gain |
Ki | 5 | [p.u./p.u.] | Volt/VAR regulator integral gain |
Vfrz | 0.7 | [p.u.] | Voltage for freezing Volt/VAR regulator integrator |
Tft | 0 | [s] | Plant controller Q output lead time constant |
Tfv | 0.05 | [s] | Plant controller Q output lag time constant |
Kc | 10 | [p.u.] | Reactive droop gain |
FrqFlag | 1 | Active power control: 0 = disabled, 1 = enabled | |
RefFlag | 1 | 0 = reactive power control, 1 = voltage control | |
VcmpFlag | 0 | 0 = reactive droop, 1 = line drop compensation | |
fdbd1 | −0.004 | [p.u.] | Frequency deadband downside |
fdbd2 | 0.004 | [p.u.] | Frequency deadband upside |
Ddn | 38.46 | [p.u./p.u.] | Down regulation droop gain |
Dup | 21.73 | [p.u./p.u.] | Up regulation droop gain |
Kpg | 0.5 | [p.u./p.u.] | Real power control proportional gain |
Kig | 0.35 | [p.u./p.u.] | Real power control integral gain |
Tlag | 0.1 | [s] | Plant controller P output lag time constant |
emin | −0.5 | [p.u.] | Minimum Volt/VAR error |
Qmin | −0.436 | [p.u.] | Minimum plant reactive power command |
femin | −99 | [p.u.] | Minimum power error in droop regulator |
Pmin | 0 | [p.u.] | Minimum plant active power command |
emax | 0.5 | [p.u.] | Maximum Volt/VAR error |
Qmax | 0.436 | [p.u.] | Maximum plant reactive power command |
femax | 99 | [p.u.] | Maximum power error in droop regulator |
Pmax | 0.9 | [p.u.] | Maximum plant active power command |
Appendix B. DER_A Model
Name | Value | Unit | Description |
typeflag | 0 | Unit type: 0 = Generator, 1 = Storage | |
Trv | 0.02 | [s] | Transducer time constant voltage measurement |
Vref0 | −1 | [p.u.] | Voltage reference set-point (>0; if <=0: Vref = Vt) |
dbd1 | −0.05 | [p.u.] | Lower voltage deadband (over-voltage) |
dbd2 | 0.05 | [p.u.] | Upper voltage deadband (under-voltage) |
Kqv | 5 | [p.u./p.u.] | Proportional voltage control gain |
Tp | 0.02 | [s] | Transducer time constant power measurement |
PfFlag | 0 | Control flag: 0 = Q control, 1 = power factor ctrl. | |
Tiq | 0.02 | [s] | Q control time constant |
Trf | 0.1 | [s] | Transducer time constant frequency measurement |
Freq_flag | 1 | Frequency control flag: 0 = disabled, 1 = enabled | |
Ddn | 38.46 | [p.u./p.u.] | Frequency control droop gain (down-side) |
Dup | 21.73 | [p.u./p.u.] | Frequency control droop gain (up-side) |
fdbd1 | −0.004 | [p.u.] | Lower frequency ctrl. deadband (over-freq.) |
fdbd2 | 0.004 | [p.u.] | Upper frequency ctrl. deadband (under-freq.) |
Kpg | 0.25 | [p.u.] | Active power control proportional gain |
Kig | 0.5 | [p.u.] | Active power control integral gain |
Tpord | 0.02 | [s] | Power order time constant |
Imax | 0.9 | [p.u.] | Maximum converter current |
Pqflag | 1 | Priority for current limit: 0 = Q priority, 1 = P prio. | |
Tg | 0.02 | [s] | Current control time constant |
Vtripflag | 1 | Voltage tripping: 0 = disabled, 1 = enabled | |
vl0 | 0.15 | [p.u.] | Voltage break-point for low voltage cut-out |
vl1 | 0.9 | [p.u.] | Voltage break-point for low voltage cut-out |
vh0 | 1.2 | [p.u.] | Voltage break-point for high voltage cut-out |
vh1 | 1.1 | [p.u.] | Voltage break-point for high voltage cut-out |
tvl0 | 0.1 | [s] | Timer for low voltage break-point 0 (vl0) |
tvl1 | 1.5 | [s] | Timer for low voltage break-point 1 (vl1) |
tvh0 | 0.1 | [s] | Timer for high voltage break-point 0 (vh0) |
tvh1 | 1.5 | [s] | Timer for high voltage break-point 1 (vh1) |
Vrfrac | 0.7 | Fraction (0… 1) that recovers after voltage recovery | |
Tv | 0.02 | [s] | Time constant on output of voltage cut-out |
Ftripflag | 1 | Frequency tripping: 0 = disabled, 1 = enabled | |
fl | 47.5 | [Hz] | Frequency break-point for low freq. cut-out |
fh | 51.5 | [Hz] | Frequency break-point for high freq. cut-out |
tfl | 0.3 | [s] | Timer for low frequency break-point (fl) cut-out |
tfh | 0.3 | [s] | Timer for high frequency break-point (fh) cut-out |
Vpr | 0.8 | [p.u.] | Minimum voltage to disable frequency tripping |
Iql1 | −1 | [p.u.] | Minimum limit of reactive current injection |
femin | −99 | [p.u.] | Frequency control minimum error |
Pmin | 0 | [p.u.] | Minimum power |
dPmin | −0.5 | [p.u./s] | Minimum power ramp rate (down) |
Iqh1 | 1 | [p.u.] | Maximum limit of reactive current injection |
femax | 99 | [p.u.] | Frequency control maximum error |
Pmax | 0.9 | [p.u.] | Maximum power |
dPmax | 0.5 | [p.u./s] | Maximum power ramp rate (up) |
rrpwr | 0.5 | [p.u./s] | Max. power rise ramp rate following a fault |
Appendix C. GFM VSM Model
Name | Value | Unit | Description |
---|---|---|---|
Ta | 6 | [s] | Acceleration time constant |
Dp | 21.73 | [p.u.] | Damping coefficient |
w_c | 6 | [rad/s] | Damping filter cut-off frequency |
T_LPF_u | 0.003 | [s] | Voltage setpoint low-pass filter time constant |
ured | 0.8 | [p.u.] | Voltage threshold, under-voltage Pset red.&lim. |
ModeRed | 1 | Under-voltage Pset reduction: 0 = no; 1 = yes if output in limit | |
ModeLim | 1 | Under-voltage Pset limitation: 0 = no, 1 = linear; 2 = squared | |
mp_ollim | 0.1 | Overload limiter gain | |
f_setpoint | 1 | [p.u.] | Initial speed setting |
pmin | 0 | [p.u.] | Minimum power |
pmax | 0.9 | [p.u.] | Maximum power |
Name | Value | Unit | Description |
---|---|---|---|
T_cap | 1000 | [s] | DC capacitor time constant (capacitance) |
ploss_nld | 1 | [%] | Inverter no-load losses (at udc = 1 p.u.) |
ploss_ld | 0 | [%] | Inverter load losses (at pac = 1 p.u.) |
ploss_sw | 0 | [%] | Inverter switching losses (at pac = 1 p.u.) |
E_chopper_max | 2 | [p.u.*s] | Max. admissible chopper energy |
udc_min | 0.5 | [p.u.] | Minimum operational DC voltage |
udc_max | 1.5 | [p.u.] | Maximum DC voltage (chopper activation) |
Name | Value | Unit | Description |
---|---|---|---|
FSM_on | 0 | Frequency Sensitive Mode (FSM): 0 = off, 1 = on | |
Mode_Db | 1 | Frequency deadband FSM: 0 = without, 1 = with | |
f_db1 | −200 | [mHz] | Lower frequency deadband FSM (neg. value) |
f_db2 | 200 | [mHz] | Upper frequency deadband FSM (pos. value) |
delay_init_fsm | 0 | [s] | Initial response delay FSM (deadband) |
s1 | 0 | [%] | Droop 1 (FSM upward regulation, for f < fn) |
s2 | 0 | [%] | Droop 2 (FSM downward regulation, for f > fn) |
LFSMO_on | 1 | Limited FSM-O (overfrequency): 0 = off, 1 = on | |
f1_lfsmo | 50.2 | [Hz] | Frequency threshold for LFSM-O (> fn) |
delay_init_lfsmo | 0 | [s] | Initial response delay LFSM-O |
s3 | 2.6 | [%] | Droop 3 (LFSM-O downward regulation, for f > f1) |
LFSMU_on | 1 | Limited FSM-U (underfrequency): 0 = off, 1 = on | |
f2_lfsmu | 49.8 | [Hz] | Frequency threshold for LFSM-U (<fn) |
delay_init_lfsmu | 0 | [s] | Initial response delay LFSM-U |
s4 | 4.6 | [%] | Droop 4 (LFSM-U upward regulation, for f < f2) |
T_smooth | 0.02 | [s] | Output smoothing time constant (PT1 filter) |
dP_fsm_min | −10 | [%] | Minimum additional power FSM (dP < 0) |
ddP_fsm_min | −4 | [%/s] | Min. rate of change in dP FSM (neg.) |
dP_lfsmo_min | −100 | [%] | Max. power reduction LFSM-O (dP < 0) |
ddP_lfsmo_min | −100 | [%/s] | Min. rate of change in dP LFSM-O |
ddP_lfsmu_min | −100 | [%/s] | Min. rate of change in dP LFSM-U |
dP_fsm_max | 10 | [%] | Maximum additional power FSM (dP > 0) |
ddP_fsm_max | 4 | [%/s] | Max. rate of change in dP FSM (pos.) |
ddP_lfsmo_max | 100 | [%/s] | Max. rate of change in dP LFSM-O |
dP_lfsmu_max | 100 | [%] | Max. additional power LFSM-U (dP > 0) |
ddP_lfsmu_max | 100 | [%/s] | Max. rate of change in dP LFSM-U |
Name | Value | Unit | Description |
---|---|---|---|
Tgen_up | 0.01 | [s] | Generator max. ramp up time |
Tgen_down | 0.01 | [s] | Generator max. ramp down time |
Ctrl_side | 0 | Power control at: 0 = generator side, 1 = grid side | |
Kp | 1 | Proportional gain, power controller | |
Ti | 10 | [s] | Integrator time constant, power controller |
mpp | 0 | Max. available power: 0 = p_max, 1 = inital power | |
p_min | 0 | [p.u.] | Minimum power |
p_max | 0.9 | [p.u.] | Maximum rated powe |
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Grid Following (GFL) | Grid Forming (GFM) | |
---|---|---|
Pros | Simple control structure Bigger size | Creates its own voltages Able to operate in an islanded mode Able to work in weak grids Black start and inertia provision |
Cons | Follow grid voltages Unable to operate in an islanded mode Instability in weak grids No black start and inertia provision | Instability in stiff grids Easily susceptible to overload Smaller size |
Gen_1 | Gen_2 | Gen_3 | Gen_6 | Gen_8 | |
---|---|---|---|---|---|
Size [MVA] | 615 | 60 | 60 | 25 | 25 |
H [s] | 5.148 | 6.54 | 6.54 | 5.06 | 5.06 |
Droop [%] | 5 | 5 | - | - | - |
Gen MW | Gen MVAr | Load MW | Load MVAr | Loss MW | Loss MVAr |
---|---|---|---|---|---|
272.74 | 82.47 | 259.00 | 73.50 | 13.74 | 28.59 |
Scenario | Generation Type | PV Model | ||
---|---|---|---|---|
Gen_1 | Gen_2 | Centralised | Distributed | |
Base | SG | SG | - | - |
PV-GFL | SG | PV-GFL | WECC Large-scale PV | WECC DER System |
PV-GFM | SG | PV-GFM | DigSilent GFM VSM | DigSilent GFM VSM |
Inertia [s] | RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fNadir [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | efNadir [%] | efSS [%] | |
---|---|---|---|---|---|---|---|---|---|
DL10% HV | 5.355 | 0.154 | 0.189 | 49.811 | 0.750 | 7.650 | 49.862 | ||
DL10% MV | 5.355 | 0.154 | 0.188 | 49.814 | 0.745 | 7.657 | 49.865 | 0.006 | 0.005 |
DL15% HV | 5.355 | 0.231 | 0.285 | 49.715 | 0.750 | 7.643 | 49.792 | ||
DL15% MV | 5.355 | 0.231 | 0.284 | 49.719 | 0.741 | 7.648 | 49.796 | 0.009 | 0.007 |
DL20% HV | 5.355 | 0.308 | 0.382 | 49.617 | 0.748 | 7.635 | 49.721 | ||
DL20% MV | 5.355 | 0.308 | 0.382 | 49.623 | 0.737 | 7.636 | 49.726 | 0.012 | 0.011 |
Inertia [s] | RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fNadir [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | efNadir [%] | efSS [%] | |
---|---|---|---|---|---|---|---|---|---|
PVHV | 4.855 | 0.340 | 0.430 | 49.574 | 0.688 | 9.671 | 49.705 | ||
PVMV | 4.855 | 0.340 | 0.442 | 49.570 | 0.670 | 9.605 | 49.706 | −0.008 | 0.003 |
Inertia [s] | RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fNadir [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | |
---|---|---|---|---|---|---|---|
Base | 5.355 | 0.308 | 0.382 | 49.617 | 0.748 | 7.635 | 49.721 |
PV-GFL | 4.855 | 0.340 | 0.442 | 49.570 | 0.670 | 9.605 | 49.706 |
PV-GFM | 5.085 | 0.324 | 0.422 | 49.601 | 0.741 | 7.530 | 49.705 |
RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fZenit [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | efZenit [%] | efSS [%] | |
---|---|---|---|---|---|---|---|---|
DL10% HV | 0.154 | 0.185 | 50.184 | 0.751 | 7.669 | 50.134 | ||
DL10% MV | 0.154 | 0.184 | 50.182 | 0.751 | 7.673 | 50.133 | −0.005 | −0.003 |
DL15% HV | 0.231 | 0.276 | 50.275 | 0.751 | 7.673 | 50.200 | ||
DL15% MV | 0.231 | 0.275 | 50.271 | 0.752 | 7.678 | 50.198 | −0.007 | −0.004 |
DL20% HV | 0.308 | 0.367 | 50.364 | 0.751 | 7.677 | 50.265 | ||
DL20% MV | 0.308 | 0.365 | 50.360 | 0.752 | 7.682 | 50.263 | −0.009 | −0.005 |
RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fZenit [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | e fZenit [%] | e fSS [%] | |
---|---|---|---|---|---|---|---|---|
PVHV | 0.340 | 0.410 | 50.396 | 0.675 | 9.436 | 50.274 | ||
PVMV | 0.340 | 0.424 | 50.402 | 0.658 | 9.585 | 50.273 | 0.010 | −0.002 |
RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fZenit [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | |
---|---|---|---|---|---|---|
Base | 0.308 | 0.367 | 50.364 | 0.751 | 7.677 | 50.265 |
PV-GFL | 0.340 | 0.424 | 50.402 | 0.658 | 9.585 | 50.273 |
PV-GFM | 0.324 | 0.372 | 50.365 | 0.721 | 7.193 | 50.274 |
Inertia [s] | RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fNadir [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | |
---|---|---|---|---|---|---|---|
GenOut 25% | 4.347 | 0.426 | 0.576 | 49.539 | 0.815 | 7.828 | 49.653 |
GenOut 33% | 4.011 | 0.616 | 0.836 | 49.303 | 0.873 | 8.455 | 49.473 |
GenOut 50% | 3.339 | 1.110 | 1.523 | 48.608 | 1.050 | 8.734 | 48.903 |
Inertia [s] | RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fNadir [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | efNadir [%] | efSS [%] | |
---|---|---|---|---|---|---|---|---|---|
PV HV | 2.839 | 1.306 | 1.804 | 48.562 | 0.755 | 8.096 | 48.966 | ||
PV MV | 2.839 | 1.306 | 1.788 | 48.540 | 0.752 | 8.266 | 48.957 | −0.045 | −0.019 |
Inertia [s] | RoCoFexp [Hz/s] | RoCoFact [Hz/s] | fNadir [Hz] | RiseTime [s] | SettlingTime [s] | fSS [Hz] | |
---|---|---|---|---|---|---|---|
Base | 3.339 | 1.110 | 1.523 | 48.608 | 1.050 | 8.734 | 48.903 |
PV-GFL | 2.839 | 1.306 | 1.788 | 48.540 | 0.752 | 8.266 | 48.957 |
PV-GFM | 3.068 | 1.208 | 1.594 | 48.667 | 0.873 | 8.266 | 48.973 |
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Tina, G.M.; Maione, G.; Stefanelli, D. The Impact of Grid-Forming vs. Grid-Following Converters on Frequency Regulation: Comparing Centralised or Distributed Photovoltaic Generation. Energies 2024, 17, 5827. https://doi.org/10.3390/en17235827
Tina GM, Maione G, Stefanelli D. The Impact of Grid-Forming vs. Grid-Following Converters on Frequency Regulation: Comparing Centralised or Distributed Photovoltaic Generation. Energies. 2024; 17(23):5827. https://doi.org/10.3390/en17235827
Chicago/Turabian StyleTina, Giuseppe Marco, Giovanni Maione, and Domenico Stefanelli. 2024. "The Impact of Grid-Forming vs. Grid-Following Converters on Frequency Regulation: Comparing Centralised or Distributed Photovoltaic Generation" Energies 17, no. 23: 5827. https://doi.org/10.3390/en17235827
APA StyleTina, G. M., Maione, G., & Stefanelli, D. (2024). The Impact of Grid-Forming vs. Grid-Following Converters on Frequency Regulation: Comparing Centralised or Distributed Photovoltaic Generation. Energies, 17(23), 5827. https://doi.org/10.3390/en17235827