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BERTA Panels for Virtual Grid Models

 The virtual grid model library includes the speed governor and turbine models and their panels are described in the following section. The panels for the three PSS models available are also described.

Stab 1 Tab

Stab 1 Virtual Grid Panel

Stab 2 Tab

Stab 2 Virtual Grid Panel

Stab 3 Tab

Stab 3 Virtual Grid Panel

PID Hydro Speed Governor Virtual Grid Tab

This tab provides access to the PID hydro speed governor’s settings for a Francis hydraulic turbine.

PID Hydro Speed Governor Virtual Grid Panel

Parameters

Description

Default Value

Gate Set Point

Gate servomotor set point (p.u.)

0.9

MW Set Point

Power set point (MW)

81

Tfr

Frequency transducer time constant (s)

0.016

DB_pos (pu)

Positive frequency dead-band threshold (p.u.)

0

DB_neg (pu)

Negative frequency dead-band threshold (p.u.)

0

PID Type

Selection switch for load pick-up

Fast

Gd

Derivative gain

0

Td

Derivative gain time constant

0.1

Gp

Proportional gain

5

Tp

Proportional gain time constant

0.1

Gi

Integral gain

1


Parameters

Description

Default Value

Gi_maxMaximum output value of the integrator (p.u.)1
Gi_minMinimum output value of the integrator (p.u.)0
KsmCombined gain of the actuator, distributing valve and servomotor (p.u./s)10
TactTime constant of distributing valve chain (s)0.05
Vmax (pu/sec)Maximum opening speed of the servomotor (p.u./s)0.1
Vmin (pu/sec)Maximum closing speed of the servomotor (p.u./s) (Negative value)-0.1
GmaxMaximum servomotor stroke (opening) (p.u.)1
GminMinimum servomotor stroke (opening) (p.u.) (≥ 0.1)0.1
PID_Bp_TypePermanent droop signal selectorGate
BpPermanent droop0.05
TpePower transducer time constant (s)0.3

Classical Hydro Speed Governor Virtual Grid Tab

This tab provides access to the classical hydro speed governor settings for a Francis hydraulic turbine, using a transient droop (Bt) as the main damping function.

Classical Hydro Speed Governor Virtual Grid Panel

Parameters

Description

Default Value

Gate Set PointGate servomotor set point (p.u.)0.9
MW Set PointPower set point (MW)81
TfrFrequency transducer time constant (s)0.016
DB_pos (pu)Positive frequency dead-band threshold (p.u.)0
DB_neg (pu)Negative frequency dead-band threshold (p.u.)0
BtTemporary droop0.2
TtTemporary droop time constant (s)5
KsmCombined gain of the actuator, distributing valve and servomotor (p.u./s)10
TactTime constant of distributing valve chain (s)0.05
Vmax (pu/sec)Maximum opening speed of the servomotor (p.u./s)0.1
Vmin (pu/sec)Maximum closing speed of the servomotor (p.u./s) (Negative value)-0.1
GmaxMaximum servomotor stroke (opening) (p.u.)1
GminMinimum servomotor stroke (opening) (p.u.) (≥ 0.1)0.1
Bp_ClPermanent droop signal selectorGate
TpePower transducer time constant (s)0.3

Hydraulic Turbine Model Virtual Grid Tab

The hydraulic turbine tab provides access to the settings panel for a non-linear Francis hydraulic turbine.

The polynomial order 3Q (G) links water flow Q to the main servomotor position G, according to the following formula:

  • Q(G) = AG3 + BG2 + CG + D

where: A = VG – Q(G) ^ 3; B = VG – Q(G) ^ 2; C = VG – Q(G) ^ 1; D = VG – Q(G) ^ 0

Similarly, the polynomial order 3 P(Q) connects turbine mechanical power P to water flow Q.

Hydraulic Turbine Model Virtual Grid Panel

Parameter

Description

Default Value

Q(G)^3

Power 3 coefficient of flow VS servomotor polynomial

0

Q(G)^2

Power 2 coefficient of flow VS servomotor polynomial

0

Q(G)^1

Power 1 coefficient of flow VS servomotor polynomial

1

Q(G)^0

Constant term of flow VS servomotor polynomial

0

P(Q)^3

Power 3 coefficient of power VS flow polynomial

0

P(Q)^2

Power 2 coefficient of power VS flow polynomial

0

P(Q)^1

Power 1 coefficient of power VS flow polynomial

1

P(Q)^0

Constant term of power VS flow polynomial

0

Gross head (pu)

Gross head (p.u.)

1

Hydro_Tw

Water starting time (s)

1.5

Hydro_phi

Friction losses coefficient

0

Hydro_PF

Turbine power factor (MW/MVA)

0.9

Hydro a12

Coefficient of flow deviation VS speed deviation

0

Hydro ab22

Coefficient of power deviation VS speed deviation

0

Gas Turbine Speed Governor Virtual Grid

Gas Turbine Speed Governor Virtual Grid Panel



Note: Parameter values shown are the default values and can be changed to suit specific needs.



Notation

Description

Default Value

Pset

Power set point

0.7

fb

Feedback selection

0

ep

Droop (p.u. / p.u.)

0.04

fset

Frequency set point (p.u.)

1.0

db

Frequency dead band (p.u.)

0.02

Kp

Proportional gain

4

Ti

Time constant for integration

0.8

Taw

Time constant anti-wind-up

0.1

Td

Derivative gain (s)

2

Tf

Time constant for derivative gain

0.2

CVmax

Maximum valve opening (p.u.)

1

Cvmin

Minimum valve opening (p.u.)

0

Cvropen

Maximum opening speed (p.u. / s)

0.5

Cvrclose

Maximum closing speed (p.u. / s)

0.5

f

Grid frequency (p.u.)


Pmech

Mechanical power (p.u.)


CV

Valve opening (p.u.)


Gas Turbine Model Virtual Grid Tab

Gas Turbine Model Virtual Grid Panel



Note: Parameter values shown are the default values and can be changed to suit specific needs.



Notation

Description

Default Value

G3

Fuel control gain (=1-Fmin) (p.u. / p.u.)

0.7

Td

Fuel control time delay (s)

0

G6

Frequency dependency selector

0

Fmin

Minimum fuel flow (p.u.)

0.3

Gs

Valve servomotor gain (p.u. / p.u.)

1

Ts

Servomotor time constant (s)

0.05

Char1

Flow characteristics VS valve opening

1 to 1

Tf

Fuel system time constant (s)

0.2

Gfb

Fuel system feedback (p.u. / p.u.)

0

Tc

Combustion chamber time delay (s)

0.01

Tcd

Turbine reaction time constant (s)

0.2

AF2

Mechanical torque at zero fuel (p.u.)

-0.3

BF2

Derivative of Mechanical torque to fuel flow (p.u. / p.u.)

1.3

CF2

Mechanical torque loss as function of speed (p.u. / p.u.)

0.5

Wf (i4)

Fuel flow to combustion chamber (p.u.)


Wf2 (i1)

Equivalent fuel flow of turbine (p.u.)


Tmech

Mechanical torque exerted by the turbine (p.u.)


Thermal Turbine Speed Governor Virtual Gird Tab

Thermal Turbine Speed Governor Virtual Grid Panel



Note: Parameter values shown are the default values and can be changed to suit specific needs.




Notation

Description

Default Value

Cos (phi)

Power factor

0.9

FDBmin

Lower level of the dead band (Hz)

0

FDBmax

Upper level of the dead band (Hz)

0

KGV

Gain (p.u. power / p.u. frequency)

25

TGV

The time constant for valve servomotors (s)

0.1

Ropen

Maximum opening speed (p.u. / s)

0.05

Rclose

Maximum closing speed (p.u. / s)

-0.05

CVmax

Maximum valve opening (p.u.)

1.0

CVmin

Minimum valve opening (p.u.)

0.0

CVmode

Auto/Manual switch (unused)

1

Thermal Turbine Virtual Grid Panel



Note: Parameter values shown are the default values and can be changed to suit specific needs.



Notation

Description

Default Value

TCH

Time constant for steam chest (s)

0.2

TRH

Time constant for re-heater (s)

8

TCO

Time constant for cross-over (s)

0.4

FHP

Fraction of generation in the high-pressure turbine

0.25

FIP

Fraction of generation in intermediate pressure turbine

0.3

FLP

Fraction of generation in the low-pressure turbine

0.45

Boiler Virtual Grid Tab

Boiler Virtual Grid Panel



Note: Parameter values shown are the default values and can be changed to suit specific needs.



Notation

Description

Default Value

CB

Time constant for steam storage (s)

150

KSH

Coefficient for friction losses in super-heater (p.u. pressure / (p.u. flow)^2)

0.1

RC

Integrating part of steam pressure controller (1/s)

0.01

KC

Proportional gain in pressure controller

2

TD

Time delay in fuel flow (s)

5

TF

Time constant of steam generation

20

SGmax

Maximum steam generation (p.u.)

1.1

Kf1

Positive feedback of control valve to the steam controller

0

Kf2

Positive feedback of steam flow to steam generation

0

Kf3

Positive feedback of control valve to steam generation

0

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