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Table 8 SMES data [19] SMES control loop parameters are; L = 3H, Tc = 0.03, Ido = 20KA, Kf = 0.001

From: Optimized coordinated control of LFC and SMES to enhance frequency stability of a real multi-source power system considering high renewable energy penetration

Nomenclature

∆f

The frequency deviation of the EPS (Hz)

\( {\mathrm{x}}_{\mathrm{id}}^{\mathrm{n}} \)

The current position of particle i at iteration n

D

System damping coefficient of the EPS (pu MW/Hz)

\( {\mathrm{v}}_{\mathrm{id}}^{\mathrm{n}} \)

The velocity of particle i at iteration n

H

Equivalent inertia constant (pu sec)

c1, c2

Acceleration constant

T1

Valve time constant of the non-reheat plant (sec)

n

Number of iterations

T2

Steam valve time constant of reheat plant (sec)

\( {\mathrm{P}}_{\mathrm{id}}^{\mathrm{n}} \)

pbest of particle i at iteration n

T3

Water valve time constant hydro plant (sec)

\( {\mathrm{P}}_{\mathrm{gd}}^{\mathrm{n}} \)

gbest of particle i at iteration n

Td

Dashpot time constant of hydro plant speed governor (sec)

ρ

Air density (Kg/m3)

Th

The time constant of reheat thermal plant (sec)

A T

The rotor swept area (m2)

Tw

Water starting time in hydro intake (sec)

V W

The rated wind speed (m/s)

∆PL

Load variation (MW pu)

C P

The power coefficient of the rotor blades

m

The fraction of turbine power (intermediate pressure section)

P W

The output power of the wind turbine (W)

R1

Governor speed regulation non-reheat plant (Hz/pu MW)

β

The pitch angle

R2

Governor speed regulation reheat plant (Hz/pu MW)

r T

The rotor radius

R3

Governor speed regulation hydro plant (Hz/pu MW)

λ

The tip-speed ratio (TSR)

Pn1

Nominal rated Power output for the non-reheat plant (MW pu)

Ed

The dc voltage applied to the inductor (KV)

Pn2

Nominal rated Power output for reheat plant (MW pu)

Vdo

The maximum bridge circuit voltage (KV)

Pn3

Nominal rated Power output for the hydro plant (MW pu)

α

The firing angle (degree)

∆Pc1

Regulating the system frequency of non-reheat plant (Hz)

Id

The current through the inductor (KA)

∆Pc2

Regulating the system frequency of reheat plant (Hz)

Rc

The equivalent commutation resistance (KΩ)

∆Pc3

Regulating the system frequency of hydro plant (Hz)

Kf

The feedback gain of the inductor current deviation

TWT

Wind turbine time constant (sec)

Tc

The converter time delay

TPV

Solar system time constant (sec)

L

The coil inductance (H)

w

Inertia weight factor

∆PSMES

The active power deviation of SMES unit

rand ()

A random number between 0 and 1