Table 2 The mathematical formulas regarding the considered power grid blocks.
Description of A block | Formulation of transfer functions |
|---|---|
Power system a | \(\frac{{K}_{psa}}{{T}_{psa}\cdot {\text{s}}+1}\) |
Power system b | \(\frac{{K}_{psb}}{{T}_{psb}\cdot {\text{s}}+1}\) |
Hydro turbine | \(\frac{-{T}_{w}\cdot {\text{s}}+1}{(0.5{).T}_{w}\cdot {\text{s}}+1}\) |
Transient droop compensation | \(\frac{{T}_{rs}\cdot {\text{s}}+1}{{T}_{rh}\cdot {\text{s}}+1}\) |
Hydro governor | \(\frac{1}{{T}_{gh}\cdot {\text{s}}+1}\) |
Reheater of thermal turbine | \(\frac{{K}_{r}\cdot {T}_{r}\cdot {\text{s}}+1}{{T}_{r}\cdot {\text{s}}+1}\) |
Thermal governor | \(\frac{1}{{T}_{sg}.{\text{s}}+1}\) |
Thermal turbine | \(\frac{1}{{T}_{t}.{\text{s}}+1}\) |
Gas turbine's speed governor | \(\frac{{x}_{c}\cdot {\text{s}}+1}{{Y}_{c}\cdot {\text{s}}+1}\) |
Gas turbine dynamics | \(\frac{1}{{T}_{cd}\cdot {\text{s}}+1}\) |
Gas turbine's valve positioner | \(\frac{1}{{b}_{g}\cdot {\text{s}}+{c}_{g}}\) |
Fuel system and combustor | \(\frac{{T}_{cr}\cdot {\text{s}}+1}{{T}_{fc}\cdot {\text{s}}+1}\) |
Synchronizing coefficient | \(\frac{{(2.pi.T}_{ab})}{{\text{s}}}\) |
Wind farm | \(\frac{{K}_{Wind}}{{T}_{Wind}.{\text{s}}+1}\) |
PV Power plant | \(\frac{{K}_{PV}}{{T}_{PV}.{\text{s}}+1}\) |
